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John Todd

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DOI: 10.1126/science.272.5265.1167
1996
Cited 2,568 times
Prognosis in HIV-1 Infection Predicted by the Quantity of Virus in Plasma
The relation between viremia and clinical outcome in individuals infected with human immunodeficiency virus-type 1 (HIV-1) has important implications for therapeutic research and clinical care. HIV-1 RNA in plasma was quantified with a branched-DNA signal amplification assay as a measure of viral load in a cohort of 180 seropositive men studied for more than 10 years. The risk of acquired immunodeficiency syndrome (AIDS) and death in study subjects, including those with normal numbers of CD4+ T cells, was directly related to plasma viral load at study entry. Plasma viral load was a better predictor of progression to AIDS and death than was the number of CD4+ T cells.
DOI: 10.1038/371130a0
1994
Cited 1,238 times
A genome-wide search for human type 1 diabetes susceptibility genes
DOI: 10.4153/cjm-1954-028-3
1954
Cited 991 times
Finite Unitary Reflection Groups
Any finite group of linear transformations on n variables leaves invariant a positive definite Hermitian form, and can therefore be expressed, after a suitable change of variables, as a group of unitary transformations (5, p. 257). Such a group may be thought of as a group of congruent transformations, keeping the origin fixed, in a unitary space U n of n dimensions, in which the points are specified by complex vectors with n components, and the distance between two points is the norm of the difference between their corresponding vectors.
DOI: 10.1056/nejm199611283352201
1996
Cited 788 times
Maternal Viral Load, Zidovudine Treatment, and the Risk of Transmission of Human Immunodeficiency Virus Type 1 from Mother to Infant
A placebo-controlled trial has shown that treatment with zidovudine reduces the rate at which human immunodeficiency virus type 1 (HIV-1) is transmitted from mother to infant. We present data from that trial showing the number of infected infants at 18 months of age and the relation between the maternal viral load, the risk of HIV-1 transmission, and the efficacy of zidovudine treatment. Viral cultures were obtained, and HIV-1 RNA was measured by two assays in samples of maternal blood obtained at study entry and at delivery.
DOI: 10.1038/ng1885
2006
Cited 716 times
A high-resolution HLA and SNP haplotype map for disease association studies in the extended human MHC
The proteins encoded by the classical HLA class I and class II genes in the major histocompatibility complex (MHC) are highly polymorphic and are essential in self versus non-self immune recognition. HLA variation is a crucial determinant of transplant rejection and susceptibility to a large number of infectious and autoimmune diseases. Yet identification of causal variants is problematic owing to linkage disequilibrium that extends across multiple HLA and non-HLA genes in the MHC. We therefore set out to characterize the linkage disequilibrium patterns between the highly polymorphic HLA genes and background variation by typing the classical HLA genes and >7,500 common SNPs and deletion-insertion polymorphisms across four population samples. The analysis provides informative tag SNPs that capture much of the common variation in the MHC region and that could be used in disease association studies, and it provides new insight into the evolutionary dynamics and ancestral origins of the HLA loci and their haplotypes.
DOI: 10.1038/ng0395-284
1995
Cited 714 times
Susceptibility to human type 1 diabetes at IDDM2 is determined by tandem repeat variation at the insulin gene minisatellite locus
DOI: 10.1126/science.3368786
1988
Cited 691 times
A Molecular Basis for MHC Class II—Associated Autoimmunity
Class II major histocompatibility (MHC) molecules have an immunoregulatory role. These cell-surface glycoproteins present fragments of protein antigens (or peptides) to thymus-derived lymphocytes (T cells). Nucleotide sequence polymorphism in the genes that encode the class II MHC products determines the specificity of the immune response and is correlated with the development of autoimmune diseases. This study identifies certain class II polymorphic amino acid residues that are strongly associated with susceptibility to insulin-dependent diabetes mellitus, rheumatoid arthritis, and pemphigus vulgaris. These findings implicate particular class II MHC isotypes in susceptibility to each disease and suggest new prophylactic and therapeutic strategies.
DOI: 10.1038/ng.3245
2015
Cited 588 times
Fine mapping of type 1 diabetes susceptibility loci and evidence for colocalization of causal variants with lymphoid gene enhancers
Genetic studies of type 1 diabetes (T1D) have identified 50 susceptibility regions, finding major pathways contributing to risk, with some loci shared across immune disorders. To make genetic comparisons across autoimmune disorders as informative as possible, a dense genotyping array, the Immunochip, was developed, from which we identified four new T1D-associated regions (P < 5 × 10(-8)). A comparative analysis with 15 immune diseases showed that T1D is more similar genetically to other autoantibody-positive diseases, significantly most similar to juvenile idiopathic arthritis and significantly least similar to ulcerative colitis, and provided support for three additional new T1D risk loci. Using a Bayesian approach, we defined credible sets for the T1D-associated SNPs. The associated SNPs localized to enhancer sequences active in thymus, T and B cells, and CD34(+) stem cells. Enhancer-promoter interactions can now be analyzed in these cell types to identify which particular genes and regulatory sequences are causal.
DOI: 10.1146/annurev.iy.13.040195.001143
1995
Cited 573 times
Genetic Control of Autoimmune Diabetes in the Nod Mouse
The nonobese diabetic (NOD) mouse is a model of human autoimmune insulin-dependent diabetes mellitus. The NOD mouse also serves as a model for studying complex polygenic diseases because at least fourteen different loci are linked to disease development. The first Idd locus recognized, Idd1, is linked to the major histocompatibility complex (MHC), and its inheritance and expression are a paradigm for the other non-MHC Idd genes. The NOD allele at Idd1 does not behave as a recessive diabetes susceptibility gene, as it was originally thought to be, but instead it acts as a dominant gene with varying degrees of penetrance for the phenotypes of insulitis, a prediabetic inflammatory lesion, and spontaneous diabetes. MHC congenic strains of mice have shown that the NOD MHC is essential but, by itself, not sufficient for developing diabetes. The contributions of non-MHC Idd loci have also been assessed with NOD congenic strains derived by replacing NOD-specific chromosomal segments with those from diabetes-resistant strains of mice. While only partial protection from disease is provided by resistance alleles at single non-MHC Idd loci, epistatic interaction between two of the loci, Idd3 and Idd10, produced nearly complete protection from diabetes. Identifying Idd genes and defining their biologic functions should further our understanding of autoimmune disease pathogenesis and facilitate development of new treatments for diabetes.
DOI: 10.1038/ng2102
2007
Cited 396 times
Large-scale genetic fine mapping and genotype-phenotype associations implicate polymorphism in the IL2RA region in type 1 diabetes
DOI: 10.1073/pnas.85.21.8111
1988
Cited 342 times
Aspartic acid at position 57 of the HLA-DQ beta chain protects against type I diabetes: a family study.
One hundred seventy-two members from 27 randomly selected multiple case Caucasian families of patients with insulin-dependent diabetes mellitus (IDDM) were studied at the DNA level to ascertain the reliability of codon 57 of the HLA-DQ beta-chain gene as a disease protection/susceptibility marker. The analysis was carried out by polymerase chain reaction amplification of DNA encoding the first domain of the DQ beta chain and by dot blot analysis of the amplified material with allele-specific oligonucleotide probes. One hundred twenty-three randomly selected healthy Caucasian donors were also tested. The results demonstrated that haplotypes carrying an aspartic acid in position 57 (Asp-57) of their DQ beta chain were significantly increased in frequency among nondiabetic haplotypes (23/38), while non-Asp-57 haplotypes were significantly increased in frequency among diabetic haplotypes (65/69). Ninety-six percent of the diabetic probands in our study were homozygous non-Asp/non-Asp as compared to 19.5% of healthy unrelated controls. This conferred a relative risk of 107 (chi 2 = 54.97; P = 0.00003) for non-Asp-57 homozygous individuals. Even though the inheritance and genetic features of IDDM are complex and are not necessarily fully explained by DQ beta chain polymorphism, this approach is much more sensitive than HLA serolog in assessing risk for IDDM.
DOI: 10.1373/clinchem.2007.091181
2007
Cited 258 times
Ultrasensitive Flow-based Immunoassays Using Single-Molecule Counting
Immunoassay (IA) technology has expanded the clinical utility of protein biomarkers, but demands for increased sensitivity, dynamic reporting ranges, and small sample volumes have limited the potential clinical usefulness of many biomarkers. We assessed the performance, including limits of detection (LODs) and the dynamic reporting range, of an IA-based technology, Erenna Immunoassay System, for a series of biomarkers, including cardiac troponin I (cTnI).Erenna IAs were used with 10 different and clinically important biomarkers to ascertain the LOD with various sample sizes (10 microL to 200 microL).The Erenna Immunoassay System generated LODs of 10-100 pg/L using 100 microL of sample. For cTnI, the LOD was 0.2 ng/L and a 10% CV was seen between 0.78 and 1.6 ng/L.The Erenna IA-based technology reproducibly measures protein biomarkers with detection limits of 10-100 pg/L, with a dynamic range of >4.5 logs in sample volumes of 50-150 microL.
DOI: 10.1373/clinchem.2008.107391
2009
Cited 246 times
Short- and Long-Term Biological Variation in Cardiac Troponin I Measured with a High-Sensitivity Assay: Implications for Clinical Practice
The improved detection limit and precision in new-generation commercial assays for cardiac troponin I (cTnI) have lowered the 99th-percentile cutoff value, yielding higher frequencies of positive test results. Because serial testing is important in interpreting low concentrations, we evaluated the biological variation of cTnI in both the short (hours) and long (weeks) terms and determined reference change values (RCVs) and the index of individuality (II) for cTnI.To assess short- and long-term variation, we collected blood from 12 healthy volunteers hourly for 4 h and from 17 healthy individuals once every other week for 8 weeks, measured cTnI with a high-sensitivity assay (detection limit, 0.2 ng/L), and computed analytical, intraindividual, interindividual, and total CVs (CV(A), CV(I), CV(G), and CV(T), respectively; CV(T) = CV(A) + CV(I) + CV(G)) as well as the II. Because of the slight right-skewness of the data, RCVs were calculated with a lognormal approach.Within-day CV(A), CV(I), and CV(G) values were 8.3%, 9.7%, and 57%, respectively; the corresponding between-day values were 15%, 14%, and 63%. Within- and between-day IIs were 0.21 and 0.39, respectively. Lognormal within-day RCVs were 46% and -32%, respectively; the corresponding between-day values were 81% and -45%.The low II indicates that population-based reference intervals are less useful for interpreting cTnI values than following serial changes in values in individual patients. This criterion is particularly important for interpreting results from patients who show cTnI increases at low concentrations measured with very high-sensitivity assays, from patients presenting with chest pain (short term), and for evaluating drugs for cardiotoxicity (long term).
DOI: 10.1038/s41588-021-00945-5
2021
Cited 213 times
An open approach to systematically prioritize causal variants and genes at all published human GWAS trait-associated loci
Genome-wide association studies (GWASs) have identified many variants associated with complex traits, but identifying the causal gene(s) is a major challenge. In the present study, we present an open resource that provides systematic fine mapping and gene prioritization across 133,441 published human GWAS loci. We integrate genetics (GWAS Catalog and UK Biobank) with transcriptomic, proteomic and epigenomic data, including systematic disease-disease and disease-molecular trait colocalization results across 92 cell types and tissues. We identify 729 loci fine mapped to a single-coding causal variant and colocalized with a single gene. We trained a machine-learning model using the fine-mapped genetics and functional genomics data and 445 gold-standard curated GWAS loci to distinguish causal genes from neighboring genes, outperforming a naive distance-based model. Our prioritized genes were enriched for known approved drug targets (odds ratio = 8.1, 95% confidence interval = 5.7, 11.5). These results are publicly available through a web portal ( http://genetics.opentargets.org ), enabling users to easily prioritize genes at disease-associated loci and assess their potential as drug targets.
DOI: 10.1016/s0140-6736(18)31388-6
2018
Cited 196 times
Esomeprazole and aspirin in Barrett's oesophagus (AspECT): a randomised factorial trial
Oesophageal adenocarcinoma is the sixth most common cause of cancer death worldwide and Barrett's oesophagus is the biggest risk factor. We aimed to evaluate the efficacy of high-dose esomeprazole proton-pump inhibitor (PPI) and aspirin for improving outcomes in patients with Barrett's oesophagus.The Aspirin and Esomeprazole Chemoprevention in Barrett's metaplasia Trial had a 2 × 2 factorial design and was done at 84 centres in the UK and one in Canada. Patients with Barrett's oesophagus of 1 cm or more were randomised 1:1:1:1 using a computer-generated schedule held in a central trials unit to receive high-dose (40 mg twice-daily) or low-dose (20 mg once-daily) PPI, with or without aspirin (300 mg per day in the UK, 325 mg per day in Canada) for at least 8 years, in an unblinded manner. Reporting pathologists were masked to treatment allocation. The primary composite endpoint was time to all-cause mortality, oesophageal adenocarcinoma, or high-grade dysplasia, which was analysed with accelerated failure time modelling adjusted for minimisation factors (age, Barrett's oesophagus length, intestinal metaplasia) in all patients in the intention-to-treat population. This trial is registered with EudraCT, number 2004-003836-77.Between March 10, 2005, and March 1, 2009, 2557 patients were recruited. 705 patients were assigned to low-dose PPI and no aspirin, 704 to high-dose PPI and no aspirin, 571 to low-dose PPI and aspirin, and 577 to high-dose PPI and aspirin. Median follow-up and treatment duration was 8·9 years (IQR 8·2-9·8), and we collected 20 095 follow-up years and 99·9% of planned data. 313 primary events occurred. High-dose PPI (139 events in 1270 patients) was superior to low-dose PPI (174 events in 1265 patients; time ratio [TR] 1·27, 95% CI 1·01-1·58, p=0·038). Aspirin (127 events in 1138 patients) was not significantly better than no aspirin (154 events in 1142 patients; TR 1·24, 0·98-1·57, p=0·068). If patients using non-steroidal anti-inflammatory drugs were censored at the time of first use, aspirin was significantly better than no aspirin (TR 1·29, 1·01-1·66, p=0·043; n=2236). Combining high-dose PPI with aspirin had the strongest effect compared with low-dose PPI without aspirin (TR 1·59, 1·14-2·23, p=0·0068). The numbers needed to treat were 34 for PPI and 43 for aspirin. Only 28 (1%) participants reported study-treatment-related serious adverse events.High-dose PPI and aspirin chemoprevention therapy, especially in combination, significantly and safely improved outcomes in patients with Barrett's oesophagus.Cancer Research UK, AstraZeneca, Wellcome Trust, and Health Technology Assessment.
DOI: 10.1017/s0013091500008221
1936
Cited 122 times
A practical method for enumerating cosets of a finite abstract group
An important problem in finite-group theory is the determination of an abstract definition for a given group , that is, a set of relations between k generating operations S 1 , …., S k of , such that every other relation between S 1 , …., S k is an algebraic consequence of (1). The number of groups for which abstract definitions are actually known is relatively small, but a remarkable feature of the results already obtained is the extreme simplicity of the relations (1) in the case of several groups of quite high order. This fact constitutes an additional incentive to the search for abstract definitions, and many elegant results have doubtless yet to be discovered.
DOI: 10.1073/pnas.92.19.8560
1995
Cited 242 times
Genetic analysis of type 1 diabetes using whole genome approaches.
Whole genome linkage analysis of type 1 diabetes using affected sib pair families and semi-automated genotyping and data capture procedures has shown how type 1 diabetes is inherited. A major proportion of clustering of the disease in families can be accounted for by sharing of alleles at susceptibility loci in the major histocompatibility complex on chromosome 6 (IDDM1) and at a minimum of 11 other loci on nine chromosomes. Primary etiological components of IDDM1, the HLA-DQB1 and -DRB1 class II immune response genes, and of IDDM2, the minisatellite repeat sequence in the 5' regulatory region of the insulin gene on chromosome 11p15, have been identified. Identification of the other loci will involve linkage disequilibrium mapping and sequencing of candidate genes in regions of linkage.
DOI: 10.1097/00042560-199504120-00003
1995
Cited 219 times
Rapid and Precise Quantification of HIV-1 RNA in Plasma Using a Branched DNA Signal Amplification Assay
Summary: The level of human immunodeficiency virus type 1 (HIV-1) RNA in human plasma has been quantitated directly with use of a solid-phase nucleic acid hybridization assay, based on branched DNA (bDNA) signal amplification technology with chemiluminescent detection. Signal amplification is accomplished by the incorporation of sites for 1,755 alkaline phosphatase-labeled probes per genome of HIV-1, after successive hybridization of target-specific oligonucleotides and bDNA amplifier molecules. The assay is performed in microwells, much like an immunoassay, and is amenable to routine laboratory use. Reproducibility and specificity studies indicated that the bDNA method was precise and showed no reactivity with seronegative donors. HIV-1 RNA levels were quantitated for 348 seropositive specimens, with a detection rate of 83% for those specimens from patients with <500 CD4+ T-cell counts. Plasma RNA levels were found to change with disease stage, and in response to antiviral therapy. Quantitation of HIV-1 RNA in the plasma of HIV-1-infected patients, with use of the bDNA assay, may be a useful method for monitoring HIV-1 disease progression and therapeutic response.
DOI: 10.1016/s0304-3959(03)00011-3
2003
Cited 217 times
Selective loss of spinal GABAergic or glycinergic neurons is not necessary for development of thermal hyperalgesia in the chronic constriction injury model of neuropathic pain
GABA and glycine are inhibitory neurotransmitters used by many neurons in the spinal dorsal horn, and intrathecal administration of GABA(A) and glycine receptor antagonists produces behavioural signs of allodynia, suggesting that these transmitters have an important role in spinal pain mechanisms. Several studies have described a substantial loss of GABA-immunoreactive neurons from the dorsal horn in nerve injury models, and it has been suggested that this may be associated with a loss of inhibition, which contributes to the behavioural signs of neuropathic pain. We have carried out a quantitative stereological analysis of the proportions of neurons in laminae I, II and III of the rat dorsal horn that show GABA- and/or glycine-immunoreactivity 2 weeks after nerve ligation in the chronic constriction injury (CCI) model, as well as in sham-operated and nai;ve animals. At this time, rats that had undergone CCI showed a significant reduction in the latency of withdrawal of the ipsilateral hindpaw to a radiant heat stimulus, suggesting that thermal hyperalgesia had developed. However, we did not observe any change in the proportion of neurons in laminae I-III of the ipsilateral dorsal horn that showed GABA- or glycine-immunoreactivity compared to the contralateral side in these animals, and these proportions did not differ significantly from those seen in sham-operated or nai;ve animals. In addition, we did not see any evidence for alterations of GABA- or glycine-immunostaining in the neuropil of laminae I-III in the animals that had undergone CCI. Our results suggest that significant loss of GABAergic or glycinergic neurons is not necessary for the development of thermal hyperalgesia in the CCI model of neuropathic pain.
DOI: 10.1101/gr.10.3.330
2000
Cited 203 times
Evaluation of Single Nucleotide Polymorphism Typing with Invader on PCR Amplicons and Its Automation
Large-scale pharmacogenetics and complex disease association studies will require typing of thousands of single-nucleotide polymorphisms (SNPs) in thousands of individuals. Such projects would benefit from a genotyping system with accuracy &gt;99% and a failure rate &lt;5% on a simple, reliable, and flexible platform. However, such a system is not yet available for routine laboratory use. We have evaluated a modification of the previously reported Invader SNP-typing chemistry for use in a genotyping laboratory and tested its automation. The Invader technology uses a Flap Endonuclease for allele discrimination and a universal fluorescence resonance energy transfer (FRET) reporter system. Three hundred and eighty-four individuals were genotyped across a panel of 36 SNPs and one insertion/deletion polymorphism with Invader assays using PCR product as template, a total of 14,208 genotypes. An average failure rate of 2.3% was recorded, mostly associated with PCR failure, and the typing was 99.2% accurate when compared with genotypes generated with established techniques. An average signal-to-noise ratio (9:1) was obtained. The high degree of discrimination for single base changes, coupled with homogeneous format, has allowed us to deploy liquid handling robots in a 384-well microtitre plate format and an automated end-point capture of fluorescent signal. Simple semiautomated data interpretation allows the generation of ∼25,000 genotypes per person per week, which is 10-fold greater than gel-based SNP typing and microsatellite typing in our laboratory. Savings on labor costs are considerable. We conclude that Invader chemistry using PCR products as template represents a useful technology for typing large numbers of SNPs rapidly and efficiently.
DOI: 10.1093/infdis/170.5.1172
1994
Cited 173 times
Application OF Branched DNA Signal Amplification to Monitor Human Immunodeficiency Virus Type 1 Burden in Human Plasma
A branched DNA (bDNA)-based quantitation of plasma human immunodeficiency virus type I (HIV-I) RNA was used to monitor the virologic status of 102 patients (29–906 CD4 cells/mm3) enrolled in clinical trials of antiretroviral and immune-based therapies. Virion-associated RNA was measurable in plasma of74% of patients tested (10,000–10,000,000 RNA equivalents/mL). Virus levels measured by the bDNA assay exceeded titers obtained by quantitative plasma culture and were inversely correlated (r = -.378; P < .05) with total CD4 cell counts. The assay was used to demonstrate a significant decline (mean, S-fold; range, 0- to 30-fold), relative to pretreatment, in virus load after beginning antiviral therapy and a transient increase (mean, IS-fold; range, 2- to 50-fold) after treatment with interleukin-2. The decrease in RNA was more dramatic than changes in serum p24 antigen. The bDNA assay yields reproducible results, is relatively easy, and should be useful in measuring HIV-I RNA in patients in clinical trials.
DOI: 10.1093/infdis/174.4.704
1996
Cited 167 times
Association of Plasma Human Immunodeficiency Virus Type 1 RNA Level withRisk of Clinical Progression in Patients with Advanced Infection
Human immunodeficiency virus (HIV)-1 RNA level in plasma was evaluated as a surrogate marker for disease progression in a clinical trial of advanced HIV-1 infection. Baseline HIV-1 RNA level was an independent predictor of disease progression (relative hazard [RH] for each doubling of HIV-1 RNA level, 1.26; 95% confidence interval [CI], 1.03-1.54; P = .02), after adjusting for the week 4 change in HIV-1 RNA level, baseline CD4 cell count, syncytium-inducing phenotype, clinical status at study entry, and therapy randomization. A 50% reduction in HIV-1 RNA level was associated with a 27% decrease in the adjusted risk of disease progression during the study (RH, 0.73; 95% CI, 0.52-1.02; P = .07). The partial validation of HIV-1 RNA as a predictor for clinical end points has implications for the use of HIV-1 RNA in clinical trials and practice.
DOI: 10.1128/jcm.34.11.2695-2701.1996
1996
Cited 166 times
Evaluation of a quality assurance program for quantitation of human immunodeficiency virus type 1 RNA in plasma by the AIDS Clinical Trials Group virology laboratories
A number of quantitative assays have been developed by using amplification techniques to measure human immunodeficiency virus type 1 RNA in the plasma of infected individuals. The Virology Committee of the AIDS Clinical Trials Group in the Division of AIDS, National Institute of Allergy and Infectious Diseases, has established a quality assurance program (QAP) for quantitative assays of HIV-1 RNA levels in plasma. The primary objective of the QAP was to ascertain that a laboratory could maintain the precision required to have a 90% power to detect a fivefold difference in RNA copy number between two samples in the same batch. To achieve this goal, the QAP required an intra-assay standard deviation of no greater than 0.15 log10 RNA copies per ml. Panels for proficiency testing consisted of coded replicate samples and a common set of standards. To date, 41 laboratories have participated in the program and have used both commercial and in-house assays. We demonstrated that 65% of the laboratories were capable of attaining the necessary level of intra-assay precision. The fitted regressions indicated that the differences among laboratories that used the same kit were generally greater than the differences among population-average regressions for the kits themselves. The use of an external QAP and a common set of standards reduced differences both among laboratories that used the same kit and among laboratories that used different kits. Thus, use of a common set of standards across clinical trial protocols would allow for cross-protocol comparisons.
DOI: 10.1373/clinchem.2006.073163
2006
Cited 139 times
Development and Preliminary Clinical Validation of a High Sensitivity Assay for Cardiac Troponin Using a Capillary Flow (Single Molecule) Fluorescence Detector
The European Society of Cardiology and the American College of Cardiology (ESC/ACC) have redefined the criteria for the diagnosis of acute myocardial infarction, requiring an increase in the concentration of cardiac troponin in the clinical context of myocardial ischemia (1). A subgroup of this committee has recommended that the cutoff concentration be established at the 99th percentile of the reference range, with an acceptable interassay imprecision of ≤10% (2). The use of a low troponin cutoff concentration enables the detection of more patients who have minor myocardial damage and are at short-term risk for adverse cardiac events (3). In a study conducted by the IFCC, none of the manufacturers of troponin assays cleared by the Food and Drug Administration in 2004 had a sensitivity for detecting troponin at the 99th percentile with the requisite precision (4). Therefore, troponin assays with higher analytical sensitivity and precision are needed to meet the guidelines of The European Society of Cardiology and the American College of Cardiology. We examined the analytical performance of the ZeptX™ System (Singulex) assay for cardiac troponin I (cTnI), evaluating its sensitivity, precision, and recovery. We assessed the assay’s clinical performance by comparing assay results for 97 specimens from patients with chest pain with results from the 1st-generation Bayer Centaur cTnI assay. With samples from 88 healthy individuals, we determined the 99th percentile cutoff for the ZeptX assay. We also determined the analytical limit of detection (LoD) across 15 sequential assays and calculated the LoD as the mean value of the zero standard plus 3 SDs from quadruplicate intraassay determinations. The ZeptX System consists of flow …
DOI: 10.1093/hmg/ddv077
2015
Cited 132 times
Integration of disease association and eQTL data using a Bayesian colocalisation approach highlights six candidate causal genes in immune-mediated diseases
The genes and cells that mediate genetic associations identified through genome-wide association studies (GWAS) are only partially understood. Several studies that have investigated the genetic regulation of gene expression have shown that disease-associated variants are over-represented amongst expression quantitative trait loci (eQTL) variants. Evidence for colocalisation of eQTL and disease causal variants can suggest causal genes and cells for these genetic associations. Here, we used colocalisation analysis to investigate whether 595 genetic associations to ten immune-mediated diseases are consistent with a causal variant that regulates, in cis, gene expression in resting B cells, and in resting and stimulated monocytes. Previously published candidate causal genes were over-represented amongst genes exhibiting colocalisation (odds ratio > 1.5), and we identified evidence for colocalisation (posterior odds > 5) between cis eQTLs in at least one cell type and at least one disease for six genes: ADAM15, RGS1, CARD9, LTBR, CTSH and SYNGR1. We identified cell-specific effects, such as for CTSH, the expression of which in monocytes, but not in B cells, may mediate type 1 diabetes and narcolepsy associations in the chromosome 15q25.1 region. Our results demonstrate the utility of integrating genetic studies of disease and gene expression for highlighting causal genes and cell types.
DOI: 10.1007/bf01302991
1955
Cited 108 times
Discrete analogs of inequalities of Wirtinger
DOI: 10.1016/s2468-1253(16)30078-4
2016
Cited 92 times
Mercaptopurine versus placebo to prevent recurrence of Crohn's disease after surgical resection (TOPPIC): a multicentre, double-blind, randomised controlled trial
Up to 60% of patients with Crohn's disease need intestinal resection within the first 10 years of diagnosis, and postoperative recurrence is common. We investigated whether mercaptopurine can prevent or delay postoperative clinical recurrence of Crohn's disease.We did a randomised, placebo-controlled, double-blind trial at 29 UK secondary and tertiary hospitals of patients (aged >16 years in Scotland or >18 years in England and Wales) who had a confirmed diagnosis of Crohn's disease and had undergone intestinal resection. Patients were randomly assigned (1:1) by a computer-generated web-based randomisation system to oral daily mercaptopurine at a dose of 1 mg/kg bodyweight rounded to the nearest 25 mg or placebo; patients with low thiopurine methyltransferase activity received half the normal dose. Patients and their carers and physicians were masked to the treatment allocation. Patients were followed up for 3 years. The primary endpoint was clinical recurrence of Crohn's disease (Crohn's Disease Activity Index >150 plus 100-point increase in score) and the need for anti-inflammatory rescue treatment or primary surgical intervention. Primary and safety analyses were by intention to treat. Subgroup analyses by smoking status, previous thiopurines, previous infliximab or methotrexate, previous surgery, duration of disease, or age at diagnosis were also done. This trial is registered with the International Standard Randomised Controlled Trial Register (ISRCTN89489788) and the European Clinical Trials Database (EudraCT number 2006-005800-15).Between June 6, 2008, and April 23, 2012, 240 patients with Crohn's disease were randomly assigned: 128 to mercaptopurine and 112 to placebo. All patients received at least one dose of study drug, and no randomly assigned patients were excluded from the analysis. 16 (13%) of patients in the mercaptopurine group versus 26 (23%) patients in the placebo group had a clinical recurrence of Crohn's disease and needed anti-inflammatory rescue treatment or primary surgical intervention (adjusted hazard ratio [HR] 0·54, 95% CI 0·27-1·06; p=0·07; unadjusted HR 0·53, 95% CI 0·28-0·99; p=0·046). In a subgroup analysis, three (10%) of 29 smokers in the mercaptopurine group and 12 (46%) of 26 in the placebo group had a clinical recurrence that needed treatment (HR 0·13, 95% CI 0·04-0·46), compared with 13 (13%) of 99 non-smokers in the mercaptopurine group and 14 (16%) of 86 in the placebo group (0·90, 0·42-1·94; pinteraction=0·018). The effect of mercaptopurine did not significantly differ from placebo for any of the other planned subgroup analyses (previous thiopurines, previous infliximab or methotrexate, previous surgery, duration of disease, or age at diagnosis). The incidence and types of adverse events were similar in the mercaptopurine and placebo groups. One patient on placebo died of ischaemic heart disease. Adverse events caused discontinuation of treatment in 39 (30%) of 128 patients in the mercaptopurine group versus 41 (37%) of 112 in the placebo group.Mercaptopurine is effective in preventing postoperative clinical recurrence of Crohn's disease, but only in patients who are smokers. Thus, in smokers, thiopurine treatment seems to be justified in the postoperative period, although smoking cessation should be strongly encouraged given that smoking increases the risk of recurrence.Medical Research Council.
DOI: 10.1002/ejhf.1156
2018
Cited 90 times
Increased blood lactate is prevalent and identifies poor prognosis in patients with acute heart failure without overt peripheral hypoperfusion
Aims Lactate is produced by anaerobic metabolism and may reflect inadequate tissue perfusion in conditions such as acute heart failure (AHF). We evaluated the prevalence and clinical significance of elevated blood lactate on admission in patients with AHF. Methods and results We enrolled 237 patients with AHF (mean age 67 ± 12 years; 70% men) presenting without overt clinical evidence of peripheral hypoperfusion (‘warm haemodynamic profile’). Median (upper and lower quartiles) blood lactate on admission was 1.8 (1.5; 2.4) mmol/L; 103 (43%) patients had an elevated blood lactate (≥2 mmol/L). Patients with an elevated lactate had higher blood high‐sensitivity troponin I [15.4 (8.5; 26.1) vs. 9.9 (4.3; 19.6) pg/mL], aspartate aminotransferase [28 (20; 44) vs 24 (19; 36) IU/L] and endothelin‐1 (12.1 ± 6.2 vs. 9.3 ± 3.9 pg/mL) (all P &lt; 0.05). In this group plasma concentration of neutrophil gelatinase‐associated lipocalin increased during the first 48 h, whereas values fell for those with normal baseline lactate [1.9 (–3.2; 9.7) vs. –1.3 (–13.9; 5.6) μg/dL; P &lt; 0.05). One‐year mortality was higher amongst patients with an elevated blood lactate (36% vs. 21%; P &lt; 0.05). After adjustment for other well‐established prognostic variables, blood lactate on admission predicted poor outcome (hazard ratio 1.24, 95% confidence interval 1.08–1.41; P &lt; 0.05). Conclusions An elevated blood lactate on admission is common in AHF patients without overt clinical evidence of peripheral hypoperfusion and is associated with markers of organ dysfunction/damage and a worse prognosis.
DOI: 10.1002/sapm1933121321
1933
Cited 73 times
A Combinatorial Problem
Journal of Mathematics and PhysicsVolume 12, Issue 1-4 p. 321-333 Article A Combinatorial Problem J. A. Todd, J. A. ToddSearch for more papers by this author J. A. Todd, J. A. ToddSearch for more papers by this author First published: April 1933 https://doi.org/10.1002/sapm1933121321Citations: 36AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat Citing Literature Volume12, Issue1-4April 1933Pages 321-333 RelatedInformation
DOI: 10.1002/ejhf.1428
2019
Cited 70 times
Serial assessment of spot urine sodium predicts effectiveness of decongestion and outcome in patients with acute heart failure
The clinical significance of the measurement of urine sodium concentration (UNa+ ) in response to loop diuretic administration in patients with acute heart failure (AHF) is still unsettled. We studied the association of serial measurements of spot UNa+ during the first 48 h of AHF treatment with the indices of decongestion, renal function, and prognosis.We enrolled 111 AHF patients, all of whom received intravenous furosemide on admission. The mean spot UNa+ significantly increased in the 6 h sample (P < 0.05 vs. baseline) and returned to baseline values in the 24 and 48 h samples. Based on the increase or decrease/no change of UNa+ in the 6 and 48 h samples vs. baseline, patients were divided into two groups at each time point, respectively. Patients did not differ in baseline clinical and laboratory characteristics. Patients with a decrease/no change of UNa+ in the 6 and 48 h samples had a lower weight loss during hospitalization. Patients with a decrease/no change of UNa+ in the 48 h sample had a poorer diuretic response and a significant increase in the urinary levels of the tubular biomarkers: kidney injury molecule-1 and neutrophil gelatinase-associated lipocalin. Low UNa+ and decrease/no change in UNa+ in the 6 and 48 h samples were independent predictors of higher risk of all-cause mortality during 1-year follow-up (all P < 0.05).In AHF, low spot UNa+ and lack to increase UNa+ in response to intravenous diuretics are associated with poor diuretic response, markers of tubular injury and high risk of 1-year mortality.
DOI: 10.1101/2021.01.12.20249080
2021
Cited 41 times
Early analysis of a potential link between viral load and the N501Y mutation in the SARS-COV-2 spike protein
Abstract A new variant of SARS-CoV-2 has emerged which is increasing in frequency, primarily in the South East of England (lineage B.1.1.7 ( 1 ); VUI-202012/01). One potential hypothesis is that infection with the new variant results in higher viral loads, which in turn may make the virus more transmissible. We found higher (sequence derived) viral loads in samples from individuals infected with the new variant with median inferred viral loads were three-fold higher in individuals with the new variant. Most of the new variants were sampled in Kent and Greater London. We observed higher viral loads in Kent compared to Greater London for both the new variant and other circulating lineages. Outside Greater London, the variant has higher viral loads, whereas within Greater London, the new variant does not have significantly higher viral loads compared to other circulating lineages. Higher variant viral loads outside Greater London could be due to demographic effects, such as a faster variant growth rate compared to other lineages or concentration in particular age-groups. However, our analysis does not exclude a causal link between infection with the new variant and higher viral loads. This is a preliminary analysis and further work is needed to investigate any potential causal link between infection with this new variant and higher viral loads, and whether this results in higher transmissibility, severity of infection, or affects relative rates of symptomatic and asymptomatic infection Document Description and Purpose This is an updated report submitted to NERVTAG in December 2020 as part of urgent investigations into the new variant of SARS-COV-2 (VUI-202012/01). It makes full use of (and is restricted to) all sequence data and associated metadata available to us at the time this original report was submitted and remains provisional. Under normal circumstances more genomes and metadata would be obtained and included before making this report public. We will update this preprint when more genomes and metadata are available and before submitting for peer review.
DOI: 10.1128/jcm.34.12.3196-3202.1996
1996
Cited 150 times
An enhanced-sensitivity branched-DNA assay for quantification of human immunodeficiency virus type 1 RNA in plasma
The quantification of human immunodeficiency virus type 1 (HIV-1) RNA has facilitated clinical research and expedited the development of antiretroviral drugs. The branched-DNA (bDNA) assay provides a reliable method for the quantification of HIV-1 RNA in human plasma and is considered one of the most reproducible assays ready for use in clinical trials. A series of oligonucleotide probe design and solution changes have been developed to enhance the sensitivity of the bDNA assay while maintaining its performance characteristics. Among the changes incorporated into the enhanced-sensitivity bDNA (ES bDNA) assay to reduce the background level and enhance the signal are the use of shorter overhang sequences of target probes for capture, the cruciform design of target probes for amplification, and the addition of preamplifier molecules. The ES bDNA assay is at least 20-fold more sensitive than the first-generation bDNA assay, yet it maintains a high level of accuracy, linearity, and reproducibility. Further, quantification values obtained with the ES bDNA assay and the first-generation bDNA assay are highly correlated, thus allowing for meaningful comparisons of HIV-1 RNA levels in specimens tested with either assay. The ES bDNA assay may be useful in determining the prognostic value of HIV-1 RNA levels of below 10,000 copies per ml and in assessing the clinical benefit of antiretroviral therapy-induced decreases in plasma HIV-1 RNA sustained at levels of below 10,000 copies per ml.
DOI: 10.4049/jimmunol.161.4.1860
1998
Cited 144 times
New Genetic Loci That Control Susceptibility and Symptoms of Experimental Allergic Encephalomyelitis in Inbred Mice
Experimental allergic encephalomyelitis (EAE), the principal animal model of multiple sclerosis, is a genetically determined phenotype. In this study, analyses of the cumulative disease frequencies in parental, F1 hybrid, and F2 mice, derived from the EAE-susceptible SJL/J strain and the EAE-resistant B10.S/DvTe strain, confirmed that susceptibility to EAE is not inherited as a simple Mendelian trait. Whole genome scanning, using 150 informative microsatellite markers and a panel of 291 affected and 390 unaffected F2 progeny, revealed significant linkage of EAE susceptibility to marker loci on chromosomes 7 (eae4) and 17, distal to H2 (eae5). Quantitative trait loci for EAE severity, duration, and onset were identified on chromosomes 11 (eae6, and eae7), 2 (eae8), 9 (eae9), and 3 (eae10). While each locus reported in this study is important in susceptibility or disease course, interactions between marker loci were not statistically significant in models of genetic control. One locus, eae7, colocalizes to the same region of chromosome II as Orch3 and Idd4, susceptibility loci in autoimmune orchitis and insulin-dependent diabetes mellitus, respectively. Importantly, eae5 and eae7 are syntenic with human chromosomes 6p21 and 17q22, respectively, two regions of potential significance recently identified in human multiple sclerosis genome scans.
DOI: 10.1089/aid.1995.11.353
1995
Cited 123 times
Clinical Evaluation of Branched DNA Signal Amplification for Quantifying HIV Type 1 in Human Plasma
Quantification of HIV-1 RNA in human plasma has provided unique insight into AIDS pathogenesis and promises to hasten progress in antiretroviral therapy and vaccine research. However, no generally available HIV-1 RNA assay has yet been subjected to rigorous clinical testing or to comparative evaluation with research-based RNA assays using large numbers of well-characterized clinical specimens. In this study, the Chiron Quantiplex branched DNA (bDNA) signal amplification assay was used to measure viral RNA in the plasma of 152 HIV-1-positive individuals at all stages of infection and in 12 patients before and after initiating zidovudine therapy. Eighty-six percent of patients had bDNA assay results above the 10,000-RNA Eq/ml sensitivity cutoff. Branched DNA values were significantly correlated with plasma viral RNA levels determined by quantitative competitive polymerase chain reaction (QC-PCR) assay (Spearman rank correlation, r = 0.89), infectious plasma virus titers (r = 0.72), p24 antigen levels (r = 0.51), immune complex dissociated p24 antigen levels (r = 0.56), and CD4+ lymphocyte counts (r = -0.72; p < 0.0001 for all comparisons). Plasma viral RNA determinations by bDNA and QC-PCR assays were quantitatively similar in the range of 10(4) to 10(7) RNA molecules/ml [log bDNA = 0.93 + 0.80 (log QC-PCR); R2 = 0.81, p < 0.0001] and declined identically following the institution of zidovudine therapy (68-73% decrease from baseline). The close quantitative correlation between bDNA and QC-PCR results, and their significant association with other viral markers and CD4+ counts, support the use of plasma viral RNA measurement in HIV-1 clinical trials.
DOI: 10.1038/sj.gene.6364106
2004
Cited 106 times
Genotype effects and epistasis in type 1 diabetes and HLA-DQ trans dimer associations with disease
DOI: 10.1007/bf02413742
1966
Cited 82 times
A representation of the Mathieu groupM 24 as a collineation group
The Mathieu group M24 can be represented as a collineation group in space of 11 dimensions over the field of two elements. This paper discusses the geometry associated with this representation.
DOI: 10.1016/j.joca.2015.08.006
2015
Cited 65 times
Plasma levels of interleukin-1 receptor antagonist (IL1Ra) predict radiographic progression of symptomatic knee osteoarthritis
Pro- and anti-inflammatory mediators, such as IL-1β and IL1Ra, are produced by joint tissues in osteoarthritis (OA), where they may contribute to pathogenesis. We examined whether inflammatory events occurring within joints are reflected in plasma of patients with symptomatic knee osteoarthritis (SKOA).111 SKOA subjects with medial disease completed a 24-month prospective study of clinical and radiographic progression, with clinical assessment and specimen collection at 6-month intervals. The plasma biochemical marker IL1Ra was assessed at baseline and 18 months; other plasma biochemical markers were assessed only at 18 months, including IL-1β, TNFα, VEGF, IL-6, IL-6Rα, IL-17A, IL-17A/F, IL-17F, CRP, sTNF-RII, and MMP-2.In cross-sectional studies, WOMAC (total, pain, function) and plasma IL1Ra were modestly associated with radiographic severity after adjustment for age, gender and body mass index (BMI). In addition, elevation of plasma IL1Ra predicted joint space narrowing (JSN) at 24 months. BMI did associate with progression in some but not all analyses. Causal graph analysis indicated a positive association of IL1Ra with JSN; an interaction between IL1Ra and BMI suggested either that BMI influences IL1Ra or that a hidden confounder influences both BMI and IL1Ra. Other protein biomarkers examined in this study did not associate with radiographic progression or severity.Plasma levels of IL1Ra were modestly associated with the severity and progression of SKOA in a causal fashion, independent of other risk factors. The findings may be useful in the search for prognostic biomarkers and development of disease-modifying OA drugs.
DOI: 10.1017/s0305004100034642
1960
Cited 60 times
On complex Stiefel manifolds
In a recent series of papers (10), (11), (12), I. M. James has made an illuminating study of Stiefel manifolds. We shall begin by describing his results (for the complex case). Let W n, k , for k &gt; 1, denote the complex Stiefel manifold U(n)/U(n − k) , where U(n) is the unitary group in n variables. Then we have a natural fibre map W n, k → W n, 1 = S 2n−1 , where S r denotes the r -dimensional sphere. Let P n, k , for k ≥ 1 , denote the ‘stunted complex projective space’ obtained from the ( n − 1)-dimensional complex projective space† P n by identifying to a point a subspace P n−k . Then we have a natural ‘cofibre map’ P n, k → P n, 1 = S 2n−2 . The space P n, k is said to be S-reducible if some suspension of the map P n, k → S 2n−2 has a right homotopy inverse. The results of James can then be summarized as follows.
DOI: 10.1016/j.ahj.2015.11.010
2016
Cited 55 times
Clinical benefit of high-sensitivity cardiac troponin I in the detection of exercise-induced myocardial ischemia
A pilot study using a novel high-sensitivity cardiac troponin I (hs-cTnI) assay suggested that cTnI might be released into blood during exercise-induced myocardial ischemia. We investigated the potential clinical value of this signal. We included 819 patients with suspected exercise-induced myocardial ischemia referred for rest/bicycle myocardial perfusion single-photon emission computed tomography. The treating cardiologist used all available clinical information to quantify clinical judgment regarding the presence of myocardial ischemia using a visual analog scale twice: prior and after stress testing. High-sensitivity cTnI measurements were obtained before, immediately after peak stress, and 2 hours after stress testing in a blinded manner. Myocardial ischemia was adjudicated using perfusion single-photon emission computed tomography and coronary angiography findings. Exercise-induced myocardial ischemia was detected in 278 (34%) patients. High-sensitivity cTnI levels were significantly higher at all time points in patients with myocardial ischemia as compared with those without (P < .001 for all). Combining clinical judgment prior exercise testing with baseline hs-cTnI levels increased diagnostic accuracy as quantified by the area under the receiver operating characteristics curve (AUC) from 0.672 to 0.757 (P < .001). Combining clinical judgment after exercise testing (AUC 0.704) with baseline or poststress hs-cTnI levels also increased the diagnostic accuracy (AUC 0.761-0.771, P < .001 for all). In contrast, exercise-induced changes in hs-cTnI during exercise did not seem useful, as they were small and similar in patients with or without myocardial ischemia. High-sensitivity cTnI concentrations at rest and after exercise, but not its exercise-induced changes, provide substantial incremental value to clinical judgment including exercise electrocardiography regarding the presence of myocardial ischemia.
DOI: 10.1016/j.molmet.2016.02.003
2016
Cited 54 times
Primary prevention of beta-cell autoimmunity and type 1 diabetes – The Global Platform for the Prevention of Autoimmune Diabetes (GPPAD) perspectives
Type 1 diabetes can be identified by the presence of beta-cell autoantibodies that often arise in the first few years of life. The purpose of this perspective is to present the case for primary prevention of beta-cell autoimmunity and to provide a study design for its implementation in Europe.We examined and summarized recruitment strategies, enrollment rates, and outcomes in published TRIGR, FINDIA and BABYDIET primary prevention trials, and the TEDDY intensive observational study. A proposal for a recruitment and implementation strategy to perform a phase II/III primary prevention randomized controlled trial in infants with genetic risk for developing beta-cell autoimmunity is outlined.Infants with a family history of type 1 diabetes (TRIGR, BABYDIET, TEDDY) and infants younger than age 3 months from the general population (FINDIA, TEDDY) were enrolled into these studies. All studies used HLA genotyping as part of their eligibility criteria. Predicted beta-cell autoimmunity risk in the eligible infants ranged from 3% (FINDIA, TEDDY general population) up to 12% (TRIGR, BABYDIET). Amongst eligible infants, participation was between 38% (TEDDY general population) and 97% (FINDIA). Outcomes, defined as multiple beta-cell autoantibodies, were consistent with predicted risks. We subsequently modeled recruitment into a randomized controlled trial (RCT) that could assess the efficacy of oral insulin treatment as adapted from the Pre-POINT pilot trial. The RCT would recruit infants with and without a first-degree family history of type 1 diabetes and be based on general population genetic risk testing. HLA genotyping and, for the general population, genotyping at additional type 1 diabetes susceptibility SNPs would be used to identify children with around 10% risk of beta-cell autoimmunity. The proposed RCT would have 80% power to detect a 50% reduction in multiple beta-cell autoantibodies by age 4 years at a two-tailed alpha of 0.05, and would randomize around 1160 infants to oral insulin or placebo arms in order to fulfill this. It is estimated that recruitment would require testing of between 400,000 and 500,000 newborns or infants.It is timely and feasible to establish a platform for primary prevention trials for type 1 diabetes in Europe. This multi-site European infrastructure would perform RCTs, supply data coordination and biorepository, provide cohorts for mechanistic and observational studies, and increase awareness for autoimmune diabetes.
DOI: 10.1002/ejhf.746
2017
Cited 53 times
Urinary levels of novel kidney biomarkers and risk of true worsening renal function and mortality in patients with acute heart failure
Abstract Aims Recent studies indicate the need to redefine worsening renal function ( WRF ) in acute heart failure ( AHF ), linking a rise in creatinine with clinical status to identify patients who develop ‘true WRF ’. We evaluated the usefulness of serial assessment of urinary levels of neutrophil gelatinase‐associated lipocalin ( uNGAL ), kidney injury molecule‐1 ( uKIM ‐1), and cystatin C ( uCysC ) for prediction of ‘true WRF ’. Methods and results In 132 patients with AHF , uNGAL , uKIM ‐1, and uCysC were measured using a highly sensitive immunoassay based on a single‐molecule counting technology (Singulex, Alameda, CA, USA ) at baseline, day 2, and day 3. Patients who developed WRF (a ≥0.3 mg/ dL increase in serum creatinine or a &gt;25% decrease in the estimated glomerular filtration rate from the baseline value) were differentiated into those ‘true WRF ’ (presence of deterioration/no improvement in clinical status during hospitalization) vs. ‘pseudo‐ WRF ’ (uneventful clinical course). ‘True WRF ’ occurred in 13 (10%), ‘pseudo‐ WRF ’ in 15 (11%), whereas the remaining 104 (79%) patients did not develop WRF . Patients with ‘true WRF ’ were more often females, had higher levels of NT‐proBNP , creatinine, and urea on admission, higher urine albumin to creatinine ratio at day 2, higher uNGAL at baseline, day 2, and day 3, and higher KIM ‐1 at day 2 (vs. pseudo‐ WRF vs. without WRF , all P &lt; 0.05). Patients with pseudo‐ WRF did not differ from those without WRF . In the multivariable model, elevated uNGAL at all time points and uKIM ‐1 at day 2 remained independent predictors of ‘true WRF ’. Conclusion Elevated levels of uNGAL and uKIM ‐1 may predict development of ‘true WRF ’ in AHF .
DOI: 10.1136/heartjnl-2016-309632
2016
Cited 51 times
Risk factors for premature ventricular contractions in young and healthy adults
<h3>Background</h3> Premature ventricular contractions (PVCs) are associated with an increased risk of morbidity and mortality. Therefore, it was aimed to assess risk factors for the frequency of PVCs in young and healthy adults. <h3>Methods</h3> Our population-based study included 2048 healthy adults from the general population aged 25–41 years. PVC frequency was determined by 24-hour Holter ECG. We performed multivariable regression analysis using stepwise backward selection to identify factors independently associated with PVC frequency. <h3>Results</h3> Median age was 37 years, 953 (46.5%) were male. At least one PVC during the 24-hour monitoring period was observed in 69% of participants. Median number of detected PVCs was 2, the 95th percentile was 193. In multivariable regression analyses, we found 17 significant risk factors for PVC frequency. Low educational status (risk ratio (RR) 3.33; 95% CI 1.98 to 5.60), body height&gt;median (1.58, 95% CI 1.11 to 2.24) and increasing levels of waist:hip ratio (2.15, 95% CI 1.77 to 2.61), N-terminal pro brain natriuretic peptide (1.52, 95% CI 1.30 to 1.76) and Sokolow-Lyon Index (1.38, 95% CI 1.15 to 1.66) (all p≤0.01) were associated with a higher PVC frequency. Physical activity (RR fourth vs first quartile 0.51, 95% CI 0.34 to 0.76) and increasing levels of haemoglobin (0.58, 95% CI 0.47 to 0.70) and glucagon-like peptide-1 (0.72, 95% CI 0.64 to 0.82) (all p&lt;0.001) were related to a lower PVC frequency. <h3>Conclusions</h3> PVC occurrence is common even in healthy low-risk individuals, and its frequency is associated with several covariates mainly related to cardiovascular risk factors, markers of cardiac structure and function and socioeconomic status.
DOI: 10.1038/162006a0
1948
Cited 47 times
Methods of Algebraic Geometry
“THIS volume is the first part of a work designed it provide a convenient account of the foundations and methods of modem algebraic geometry.” These words from the authors' preface explain the scope of the present volume and account for the selection of topics treated. It has become increasingly clear in recent years that a rigorous treatment of algebraic geometry must be based, to a much greater extent than the classical accounts of the subject, on algebraic principles. It is therefore no occasion for surprise that more than a third of the volume under discussion is purely algebraic. The first four chapters constitute, in fact, a clear and concise introduction to the theory of algebraic fields, polynomials and matrices (over a ground field which is not necessarily commutative). This account is in itself most valuable, since the modem point of view in algebra is not to be found in many English works, though several accounts have been published in the United States. Methods of Algebraic Geometry By Prof. W. V. D. Hodge Dr. D. Pedoe. Vol. 1. Book 1: Algebraic Preliminaries; Book 2: Projective Space. Pp. viii + 440. (Cambridge: At the University Press, 1947.) 30s. net.
DOI: 10.2307/2305630
1948
Cited 44 times
Projective and Analytical Geometry.
DOI: 10.4153/cjm-1953-043-4
1953
Cited 44 times
An Extreme Duodenary Form
Let f(x 1 , … , x n ) be a positive definite quadratic form of determinant Δ; let M be its minimum value for integers x 1 , … , x n not all zero; and let 2 s be the number of times this minimum is attained, i.e., the number of solutions of the Diophantine equation
DOI: 10.1038/s41467-021-25982-w
2021
Cited 39 times
Efficacy of ChAdOx1 nCoV-19 (AZD1222) vaccine against SARS-CoV-2 lineages circulating in Brazil
Abstract Several COVID-19 vaccines have shown good efficacy in clinical trials, but there remains uncertainty about the efficacy of vaccines against different variants. Here, we investigate the efficacy of ChAdOx1 nCoV-19 (AZD1222) against symptomatic COVID-19 in a post-hoc exploratory analysis of a Phase 3 randomised trial in Brazil (trial registration ISRCTN89951424). Nose and throat swabs were tested by PCR in symptomatic participants. Sequencing and genotyping of swabs were performed to determine the lineages of SARS-CoV-2 circulating during the study. Protection against any symptomatic COVID-19 caused by the Zeta (P.2) variant was assessed in 153 cases with vaccine efficacy (VE) of 69% (95% CI 55, 78). 49 cases of B.1.1.28 occurred and VE was 73% (46, 86). The Gamma (P.1) variant arose later in the trial and fewer cases ( N = 18) were available for analysis. VE was 64% (−2, 87). ChAdOx1 nCoV-19 provided 95% protection (95% CI 61%, 99%) against hospitalisation due to COVID-19. In summary, we report that ChAdOx1 nCoV-19 protects against emerging variants in Brazil despite the presence of the spike protein mutation E484K.
DOI: 10.1098/rsta.1948.0025
1948
Cited 38 times
Ternary quadratic types
The first part of this paper deals with the determination of the complete system of concomitants of five or fewer ternary quadratic forms. In the second part of the paper it is shown that this system is irreducible, and that from it may be deduced the irreducible system of ternary quadratic types, thus giving a classification of the irreducible concomitants of any number of ternary quadratics.
DOI: 10.1086/315314
2000
Cited 108 times
Determinants of the Quantity of Hepatitis C Virus RNA
To test the hypothesis that person-to-person variability in blood levels of hepatitis C virus (HCV) RNA can be explained, the quantity of HCV RNA was assessed in 969 persons who acquired HCV infection in the context of injection drug use. Serum HCV RNA levels ranged from 200,000 to >120 million equivalents/mL (the linear range of the assay). The median log10 HCV RNA level was 0.46 higher in 468 human immunodeficiency virus (HIV)-positive persons than in 501 HIV-negative persons (P<.001). In addition, among HIV-negative persons, lower HCV RNA levels were independently associated with younger age (P<.001), ongoing hepatitis B infection (P=.005), and the absence of needle sharing (P=.02). However, >90% of the person-to-person HCV RNA level variability was not explained by these sociodemographic, environmental, and virologic factors. Additional research is necessary to ascertain what determines the level of HCV RNA in blood.
DOI: 10.1126/science.8480181
1993
Cited 101 times
Linkage on Chromosome 3 of Autoimmune Diabetes and Defective Fc Receptor for IgG in NOD mice
A congenic, non-obese diabetic (NOD) mouse strain that contains a segment of chromosome 3 from the diabetes-resistant mouse strain B6.PL-Thy-1a was less susceptible to diabetes than NOD mice. A fully penetrant immunological defect also mapped to this segment, which encodes the high-affinity Fc receptor for immunoglobulin G (IgG), Fc gamma RI. The NOD Fcgr1 allele, which results in a deletion of the cytoplasmic tail, caused a 73 percent reduction in the turnover of cell surface receptor-antibody complexes. The development of congenic strains and the characterization of Mendelian traits that are specific to the disease phenotype demonstrate the feasibility of dissecting the pathophysiology of complex, non-Mendelian diseases.
DOI: 10.1101/gr.214102
2002
Cited 100 times
Combining mouse congenic strains and microarray gene expression analyses to study a complex trait: the NOD model of type 1 diabetes.
Combining congenic mapping with microarray expression profiling offers an opportunity to establish functional links between genotype and phenotype for complex traits such as type 1 diabetes (T1D). We used high-density oligonucleotide arrays to measure the relative expression levels of >39,000 genes and ESTs in the NOD mouse (a murine model of T1D and other autoimmune conditions), four NOD-derived diabetes-resistant congenic strains, and two nondiabetic control strains. We developed a simple, yet general, method for measuring differential expression that provides an objective assessment of significance and used it to identify >400 gene expression differences and eight new candidates for the Idd9.1 locus. We also discovered a potential early biomarker for autoimmune hemolytic anemia that is based on different levels of erythrocyte-specific transcripts in the spleen. Overall, however, our results suggest that the dramatic disease protection conferred by six Idd loci (Idd3, Idd5.1, Idd5.2, Idd9.1, Idd9.2, and Idd9.3) cannot be rationalized in terms of global effects on the noninduced immune system. They also illustrate the degree to which regulatory systems appear to be robust to genetic variation. These observations have important implications for the design of future microarray-based studies in T1D and, more generally, for studies that aim to combine genome-wide expression profiling and congenic mapping.
DOI: 10.1128/jcm.33.6.1562-1566.1995
1995
Cited 94 times
Comparative stabilities of quantitative human immunodeficiency virus RNA in plasma from samples collected in VACUTAINER CPT, VACUTAINER PPT, and standard VACUTAINER tubes
This study compared the levels of human immunodeficiency virus (HIV) virion RNA in plasma from whole blood collected in VACUTAINER CPT (cell preparation tube), VACUTAINER PPT (plasma preparation tube), VACUTAINER SST (serum separation tube), and standard VACUTAINER tubes with sodium heparin, acid citrate dextrose, sodium citrate, and potassium EDTA used as anticoagulants. Quantitative plasma HIV RNA levels were measured by branched-DNA signal amplification. Blood from all tubes was either processed within 1 to 3 h after collection or stored at room temperature or at 4 degrees C for analysis at 6 to 8 and 30 h postdraw. Immediately separated plasma from sodium citrate CPT tubes held at 4 degrees C maintained better stability of HIV RNA equivalents than whole blood held at room temperature or 4 degrees C. The highest number of HIV RNA equivalents was seen with EDTA VACUTAINER tubes. HIV RNA equivalents in all types of plasma were significantly higher than in SST tubes. Although a decline in HIV RNA equivalents was seen in all collection devices after 30 h, a significantly greater decline in plasma HIV RNA equivalents occurred in acid citrate dextrose VACUTAINER tubes than in citrate CPT, PPT, and standard EDTA VACUTAINER tubes. In order to minimize the variability of quantitative HIV RNA test results, our data suggest that samples collected for a particular assay should be processed at the same time postdraw using a particular tube type throughout a given study.
DOI: 10.1093/infdis/174.4.696
1996
Cited 91 times
Prognostic Value of Plasma Human Immunodeficiency Virus Type 1 (HIV-l) RNA Levels in Patients with Advanced HIV-l Disease and with Little or No Prior Zidovudine Therapy
The association of plasma human immunodeficiency virus type 1 (HIV-1) RNA level at study entry and over time with clinical progression was evaluated in 187 patients from AIDS Clinical Trials Group protocol 116A who had little or no prior zidovudine treatment. Three-fold-higher HIV-1 RNA levels at study entry and 3-fold increases by week 8 were associated with progression (relative hazard [RH], 1.67; 95% confidence limits [CL], 1.20, 2.32; and RH, 1.45; CL, 1.02, 2.05, respectively). Having 3-fold-higher CD4 cell count at entry was independently associated with a 52% reduction in risk for progression (adjusted RH, 0.48; CL, 0.33, 0.70). When stratified by length of prior zidovudine therapy, RNA level was predictive in drug-naive patients (adjusted RH, 1.87; CL, 1.23, 2.85) but not predictive in patients with up to 16 weeks of prior therapy (adjusted RH, 1.11; CL, 0.70, 1.76). Analysis suggests that the acquisition of mutations at HIV-1 reverse transcriptase codons 215 and 74 is associated with subsequent increases in HIV-1 RNA level (relative risk, 7.00; CL, 0.86, 56.90).
DOI: 10.1007/s00125-007-0603-6
2007
Cited 69 times
A type 1 diabetes subgroup with a female bias is characterised by failure in tolerance to thyroid peroxidase at an early age and a strong association with the cytotoxic T-lymphocyte-associated antigen-4 gene
HLA haplotypes DRB1*03_DQB1*02 and DRB1*04_DQB1*0302, and allelic variation of the T cell regulatory gene cytotoxic T-lymphocyte-associated antigen-4 (CTLA4) and of the T cell activation gene protein tyrosine phosphatase, non-receptor type 22 (lymphoid) (PTPN22) have been associated with type 1 diabetes and autoimmune thyroid disease. Using thyroid peroxidase autoantibodies (TPOAbs) as an indicator of thyroid autoimmunity, we assessed whether the association of these loci is different in type 1 diabetes patients with TPOAbs than in those without. TPOAbs were measured in 4,364 type 1 diabetic patients from across Great Britain, 67% of whom were aged under 18 years. These patients and 6,866 geographically matched control subjects were genotyped at CTLA4, PTPN22, HLA-DRB1 and HLA-DQB1. TPOAbs were detected in 462 (10.6%) of the type 1 diabetic patients. These patients had a stronger association with CTLA4 (odds ratio [OR] = 1.49 for the G allele of the single nucleotide polymorphism rs3087243; 95% CI = 1.29–1.72) than did the TPOAbs-negative patients (p = 0.0004; OR = 1.16; 95% CI = 1.10–1.24) or type 1 diabetes patients overall (OR = 1.20; 95% CI = 1.13–1.27). The ratio of women:men was higher (1.94:1) in this subgroup than in type 1 diabetes patients without TPOAbs (0.94:1; p = 1.86 × 10−15). TPOAbs status did not correlate with age at diagnosis of type 1 diabetes or with PTPN22 (Arg620Trp; rs2476601). Our results identify a subgroup of type 1 diabetic patients that is sensitive to allelic variation of the negative regulatory molecule CTLA-4 and indicate that TPOAbs testing could be used to subclassify type 1 diabetes patients for inclusion in genetic, biological or clinical studies.
DOI: 10.1016/j.cyto.2013.09.018
2013
Cited 59 times
Reference range and short- and long-term biological variation of interleukin (IL)-6, IL-17A and tissue necrosis factor-alpha using high sensitivity assays
Interleukin (IL)-6, and tissue necrosis factor alpha (TNF-α) are established biomarkers for clinical practice and use in clinical trials of patients with cardiovascular disease. IL-17A may be an emerging marker for atherosclerosis disease progression. We measured IL-6, TNF-α, and IL-17A using a high sensitivity immunoassay (Erenna, Singulex, Inc.) to determine the reference range and to calculate the weekly (25 subjects over 6 weeks) and monthly (17 subjects over 9 months) biological variation (BV) from apparently healthy subjects and those attending a cardiovascular disease clinic. As a validation for the experimental and statistical approach taken, the weekly BV for high sensitivity C-reactive protein was also determined and result compared to previous reports. The upper 95th percentile reference limit for IL-6, TNF-α, and IL17-A was 4.45, 2.53, and 1.93 pg/mL, respectively. The intra-individual variability ranged from 21% to 57% and the inter-individual variation ranged from 22% to 53%. The corresponding index of individuality was 0.65–1.6 and reference change values from 63% to 161%. The BV for IL-6 and TNF-α are similar to previous reports, documenting their diagnostic utility in clinical practice. Up until now, the biological variation of IL-17A and upper reference limit has not been previously reported, thereby limiting the use of this marker in clinical trials.
DOI: 10.1177/0192623311419524
2011
Cited 57 times
A Multifaceted Evaluation of Imatinib-induced Cardiotoxicity in the Rat
Cardiotoxicity was an unanticipated side effect elicited by the clinical use of imatinib (Imb). This toxicity has been examined in only a limited number of experimental studies. The present study sought, by a variety of approaches, to identify important characteristics of Imb-induced cardiac alterations. Male spontaneously hypertensive rats (SHRs) received oral doses of 10, 30, or 50 mg/kg Imb or water daily for 10 d. Cardiac lesions, detected at all doses, were characterized by cytoplasmic vacuolization and myofibrillar loss. In a second experiment, cardiac lesions were found in Sprague Dawley (SD) and SHR rats given 50 or 100 mg/kg Imb for 14 d. Mean cardiac lesion scores and serum levels of cardiac troponin I were higher in SHRs than in SD rats. Imb induced myocyte death by necrosis, autophagy, and apoptosis. Dose-related increases in cardiac expression were observed for several genes associated with endoplasmic reticulum stress response, protein folding, and vascular development and remodeling. Imb caused alterations in isolated myocytes (myofibrillar loss, highly disrupted and disorganized sarcomeric α-actinin, apoptosis, and increased lactate dehydrogenase release) at low concentrations (5 mM). The authors conclude that Imb exerts cardiotoxic effects that are manifest through a complex pattern of cellular alterations, the severity of which can be influenced by arterial blood pressure.
DOI: 10.2307/2003741
1963
Cited 48 times
A Survey of Numerical Analysis
DOI: 10.1016/j.clinbiochem.2014.09.005
2015
Cited 42 times
Comprehensive biomarker profiling in patients with obstructive sleep apnea
The pathophysiological links between obstructive sleep apnea syndrome (OSAS) and cardiovascular mortality are incompletely understood. We aimed to contribute to a better characterization by using comprehensive biomarker profiling quantifying hemodynamic cardiac stress, cardiomyocyte injury, inflammation, endothelial function, matrix turnover and metabolism.In 65 patients with moderate or severe OSAS [apnea-hypopnea index (AHI) 39±20/h] and 33 patients with no or mild OSAS (AHI 8+4/h), B-type natriuretic peptide (BNP), N-terminal-pro-BNP (NT-proBNP), high-sensitivity cardiac troponin I (hs-cTnI), interleukin-6 (IL-6), vascular endothelial growth factor (VEGF), matrix metalloproteinase-9 (MMP-9), and insulin were measured before and after sleep. In a subgroup measurements were repeated in a second night with continuous positive airway pressure (CPAP).Patients with moderate/severe OSAS had higher insulin before sleep [median (interquartile range), 36.4 (21.9-52.1) vs. 20.8 (10.6-32.8)mU/mL; p=0.006], higher IL-6 after sleep [1.00 (0.73-1.58) vs. 0.72 (0.48-0.94)pg/mL; p=0.005], and larger relative overnight reduction in BNP [-9 (-35-0) vs. -3 (-21-13)%; p=0.04] than those with mild/no OSAS. Insulin before sleep was the only independent predictor of moderate/severe OSAS. Insulin before and IL-6 after sleep were independent predictors of severe OSAS, and when combined provided high diagnostic accuracy for severe OSAS (area under the receiver operator characteristic curve 0.80; 95%-confidence interval 0.69-0.91). In contrast, there were no significant differences in NT-proBNP, hs-cTnI, VEGF, and MMP-9 between moderate/severe and mild/no OSAS. Short-term CPAP had no impact on biomarker concentrations before and after sleep.Significant OSAS is characterized by a distinct biomarker profile including high insulin before and high IL-6 after sleep.
DOI: 10.1093/ecco-jcc/jjz042
2019
Cited 37 times
Real-world Effectiveness and Safety of Vedolizumab for the Treatment of Inflammatory Bowel Disease: The Scottish Vedolizumab Cohort
Abstract Background &amp; Aims Vedolizumab is an anti-a4b7 monoclonal antibody that is licensed for the treatment of moderate to severe Crohn’s disease and ulcerative colitis. The aims of this study were to establish the real-world effectiveness and safety of vedolizumab for the treatment of inflammatory bowel disease. Methods This was a retrospective study involving seven NHS health boards in Scotland between June 2015 and November 2017. Inclusion criteria included: a diagnosis of ulcerative colitis or Crohn’s disease with objective evidence of active inflammation at baseline (Harvey–Bradshaw Index[HBI] ≥5/Partial Mayo ≥2 plus C-reactive protein [CRP] &gt;5 mg/L or faecal calprotectin ≥250 µg/g or inflammation on endoscopy/magnetic resonance imaging [MRI]); completion of induction; and at least one clinical follow-up by 12 months. Kaplan–Meier survival analysis was used to establish 12-month cumulative rates of clinical remission, mucosal healing, and deep remission [clinical remission plus mucosal healing]. Rates of serious adverse events were described quantitatively. Results Our cohort consisted of 180 patients with ulcerative colitis and 260 with Crohn’s disease. Combined median follow-up was 52 weeks (interquartile range [IQR] 26–52 weeks). In ulcerative colitis, 12-month cumulative rates of clinical remission, mucosal healing, and deep remission were 57.4%, 47.3%, and 38.5%, respectively. In Crohn’s disease, 12-month cumulative rates of clinical remission, mucosal healing, and deep remission were 58.4%, 38.9%, and 28.3% respectively. The serious adverse event rate was 15.6 per 100 patient-years of follow-up. Conclusions Vedolizumab is a safe and effective treatment for achieving both clinical remission and mucosal healing in ulcerative colitis and Crohn’s disease.
DOI: 10.1101/2020.05.28.118992
2020
Cited 34 times
Within-host genomics of SARS-CoV-2
Abstract Extensive global sampling and whole genome sequencing of the pandemic virus SARS-CoV-2 have enabled researchers to characterise its spread, and to identify mutations that may increase transmission or enable the virus to escape therapies or vaccines. Two important components of viral spread are how frequently variants arise within individuals, and how likely they are to be transmitted. Here, we characterise the within-host diversity of SARS-CoV-2, and the extent to which genetic diversity is transmitted, by quantifying variant frequencies in 1390 clinical samples from the UK, many from individuals in known epidemiological clusters. We show that SARS-CoV-2 infections are characterised by low levels of within-host diversity across the entire viral genome, with evidence of strong evolutionary constraint in Spike, a key target of vaccines and antibody-based therapies. Although within-host variants can be observed in multiple individuals in the same phylogenetic or epidemiological cluster, highly infectious individuals with high viral load carry only a limited repertoire of viral diversity. Most viral variants are either lost, or occasionally fixed, at the point of transmission, consistent with a narrow transmission bottleneck. These results suggest potential vaccine-escape mutations are likely to be rare in infectious individuals. Nonetheless, we identified Spike variants present in multiple individuals that may affect receptor binding or neutralisation by antibodies. Since the fitness advantage of escape mutations in highly-vaccinated populations is likely to be substantial, resulting in rapid spread if and when they do emerge, these findings underline the need for continued vigilance and monitoring.
DOI: 10.1017/s0305004100025536
1950
Cited 31 times
The condition of a certain matrix
1. The following sentence occurs in a recent paper (( 1 ), p. 54): we do not understand precisely what it means, but we shall show that the idea behind it can be put on a reasonably quantitative basis: ‘In the vocabulary of solvers of simultaneous equations, the operator (1, −2, 1) tends to lead to ill-conditioning when the number of equations is large.’
1948
Cited 31 times
Covering theorems for groups
DOI: 10.1371/journal.pcbi.1009254
2021
Cited 23 times
Using de novo assembly to identify structural variation of eight complex immune system gene regions
Driven by the necessity to survive environmental pathogens, the human immune system has evolved exceptional diversity and plasticity, to which several factors contribute including inheritable structural polymorphism of the underlying genes. Characterizing this variation is challenging due to the complexity of these loci, which contain extensive regions of paralogy, segmental duplication and high copy-number repeats, but recent progress in long-read sequencing and optical mapping techniques suggests this problem may now be tractable. Here we assess this by using long-read sequencing platforms from PacBio and Oxford Nanopore, supplemented with short-read sequencing and Bionano optical mapping, to sequence DNA extracted from CD14 + monocytes and peripheral blood mononuclear cells from a single European individual identified as HV31. We use this data to build a de novo assembly of eight genomic regions encoding four key components of the immune system, namely the human leukocyte antigen, immunoglobulins, T cell receptors, and killer-cell immunoglobulin-like receptors. Validation of our assembly using k-mer based and alignment approaches suggests that it has high accuracy, with estimated base-level error rates below 1 in 10 kb, although we identify a small number of remaining structural errors. We use the assembly to identify heterozygous and homozygous structural variation in comparison to GRCh38. Despite analyzing only a single individual, we find multiple large structural variants affecting core genes at all three immunoglobulin regions and at two of the three T cell receptor regions. Several of these variants are not accurately callable using current algorithms, implying that further methodological improvements are needed. Our results demonstrate that assessing haplotype variation in these regions is possible given sufficiently accurate long-read and associated data. Continued reductions in the cost of these technologies will enable application of these methods to larger samples and provide a broader catalogue of germline structural variation at these loci, an important step toward making these regions accessible to large-scale genetic association studies.
DOI: 10.1112/plms/s2-30.1.513
1930
Cited 17 times
The Locus Representing the Lines of Four-Dimensional Space and its Application to Linear Complexes in Four Dimensions
Proceedings of the London Mathematical SocietyVolume s2-30, Issue 1 p. 513-550 Papers The Locus Representing the Lines of Four-Dimensional Space and its Application to Linear Complexes in Four Dimensions J. A. Todd, J. A. ToddSearch for more papers by this author J. A. Todd, J. A. ToddSearch for more papers by this author First published: 1930 https://doi.org/10.1112/plms/s2-30.1.513Citations: 11AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Citing Literature Volumes2-30, Issue11930Pages 513-550 RelatedInformation
DOI: 10.1172/jci162123
2022
Cited 16 times
Elevations in blood glucose before and after the appearance of islet autoantibodies in children
The etiology of type 1 diabetes has polygenic and environmental determinants that lead to autoimmune responses against pancreatic β cells and promote β cell death. The autoimmunity is considered silent without metabolic consequences until late preclinical stages,and it remains unknown how early in the disease process the pancreatic β cell is compromised. To address this, we investigated preprandial nonfasting and postprandial blood glucose concentrations and islet autoantibody development in 1,050 children with high genetic risk of type 1 diabetes. Pre- and postprandial blood glucose decreased between 4 and 18 months of age and gradually increased until the final measurements at 3.6 years of age. Determinants of blood glucose trajectories in the first year of life included sex, body mass index, glucose-related genetic risk scores, and the type 1 diabetes-susceptible INS gene. Children who developed islet autoantibodies had early elevations in blood glucose concentrations. A sharp and sustained rise in postprandial blood glucose was observed at around 2 months prior to autoantibody seroconversion, with further increases in postprandial and, subsequently, preprandial values after seroconversion. These findings show heterogeneity in blood glucose control in infancy and early childhood and suggest that islet autoimmunity is concurrent or subsequent to insults on the pancreatic islets.
DOI: 10.1001/jama.2023.16348
2023
Cited 6 times
SARS-CoV-2 Infection and Development of Islet Autoimmunity in Early Childhood
Importance The incidence of diabetes in childhood has increased during the COVID-19 pandemic. Elucidating whether SARS-CoV-2 infection is associated with islet autoimmunity, which precedes type 1 diabetes onset, is relevant to disease etiology and future childhood diabetes trends. Objective To determine whether there is a temporal relationship between SARS-CoV-2 infection and the development of islet autoimmunity in early childhood. Design, Setting, and Participants Between February 2018 and March 2021, the Primary Oral Insulin Trial, a European multicenter study, enrolled 1050 infants (517 girls) aged 4 to 7 months with a more than 10% genetically defined risk of type 1 diabetes. Children were followed up through September 2022. Exposure SARS-CoV-2 infection identified by SARS-CoV-2 antibody development in follow-up visits conducted at 2- to 6-month intervals until age 2 years from April 2018 through June 2022. Main Outcomes and Measures The development of multiple (≥2) islet autoantibodies in follow-up in consecutive samples or single islet antibodies and type 1 diabetes. Antibody incidence rates and risk of developing islet autoantibodies were analyzed. Results Consent was obtained for 885 (441 girls) children who were included in follow-up antibody measurements from age 6 months. SARS-CoV-2 antibodies developed in 170 children at a median age of 18 months (range, 6-25 months). Islet autoantibodies developed in 60 children. Six of these children tested positive for islet autoantibodies at the same time as they tested positive for SARS-CoV-2 antibodies and 6 at the visit after having tested positive for SARS-CoV-2 antibodies. The sex-, age-, and country-adjusted hazard ratio for developing islet autoantibodies when the children tested positive for SARS-CoV-2 antibodies was 3.5 (95% CI, 1.6-7.7; P = .002). The incidence rate of islet autoantibodies was 3.5 (95% CI, 2.2-5.1) per 100 person-years in children without SARS-CoV-2 antibodies and 7.8 (95% CI, 5.3-19.0) per 100 person-years in children with SARS-CoV-2 antibodies ( P = .02). Islet autoantibody risk in children with SARS-CoV-2 antibodies was associated with younger age (&amp;amp;lt;18 months) of SARS-CoV-2 antibody development (HR, 5.3; 95% CI, 1.5-18.3; P = .009). Conclusion and relevance In young children with high genetic risk of type 1 diabetes, SARS-CoV-2 infection was temporally associated with the development of islet autoantibodies.
DOI: 10.1186/s13073-023-01227-x
2023
Cited 6 times
SARS-CoV-2 infection induces a long-lived pro-inflammatory transcriptional profile
Abstract Background The immune response to severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) infection in COVID-19 patients has been extensively investigated. However, much less is known about the long-term effects of infection in patients and how it could affect the immune system and its capacity to respond to future perturbations. Methods Using a targeted single-cell multiomics approach, we have recently identified a prolonged anti-inflammatory gene expression signature in T and NK cells in type 1 diabetes patients treated with low-dose IL-2. Here, we investigated the dynamics of this signature in three independent cohorts of COVID-19 patients: (i) the Oxford COVID-19 Multi-omics Blood Atlas (COMBAT) dataset, a cross-sectional cohort including 77 COVID-19 patients and ten healthy donors; (ii) the INCOV dataset, consisting of 525 samples taken from 209 COVID-19 patients during and after infection; and (iii) a longitudinal dataset consisting of 269 whole-blood samples taken from 139 COVID-19 patients followed for a period of up to 7 months after the onset of symptoms using a bulk transcriptomic approach. Results We discovered that SARS-CoV-2 infection leads to a prolonged alteration of the gene expression profile of circulating T, B and NK cells and monocytes. Some of the genes affected were the same as those present in the IL-2-induced anti-inflammatory gene expression signature but were regulated in the opposite direction, implying a pro-inflammatory status. The altered transcriptional profile was detected in COVID-19 patients for at least 2 months after the onset of the disease symptoms but was not observed in response to influenza infection or sepsis. Gene network analysis suggested a central role for the transcriptional factor NF-κB in the regulation of the observed transcriptional alterations. Conclusions SARS-CoV-2 infection causes a prolonged increase in the pro-inflammatory transcriptional status that could predispose post-acute patients to the development of long-term health consequences, including autoimmune disease, reactivation of other viruses and disruption of the host immune system-microbiome ecosystem.
DOI: 10.1097/00002030-199311002-00004
1993
Cited 80 times
Direct and quantitative detection of HIV-1 RNA in human plasma with a branched DNA signal amplification assay
To determine the relative effect of sample matrix on the quantitation of HIV RNA in plasma.Two HIV-positive specimens were diluted into five and 10 different HIV-negative plasma samples, respectively. Branched DNA signal amplification technology and reverse-transcriptase polymerase chain reaction were used to measure the viral load.In one sample the viral load by polymerase chain reaction ranged from undetectable to 1.9 x 10(5) copies/ml, and the branched DNA results ranged from 2.6 x 10(4) to 4.2 x 10(4) HIV RNA equivalent/ml. In the other sample the corresponding figures were 6.3 x 10(4) to 5.5 x 10(5) copies/ml and 5.7 x 10(4) to 7.5 x 10(4) HIV RNA equivalents/ml.In contrast to reverse-transcriptase polymerase chain reaction the branched DNA signal amplification assay does not require a separate extraction step or enzymatic amplification of the target. Therefore this measurement is less affected by the sample matrix and the signal generated is directly proportional to the viral load.
DOI: 10.1136/pmj.79.932.320
2003
Cited 79 times
Osteoporosis and exercise
Abstract Osteoporosis is a common medical problem. Lifestyle measures to prevent or help treat existing osteoporosis often only receive lip service. The evidence for the role of exercise in the prevention and treatment of osteoporosis is reviewed.
DOI: 10.1093/genetics/158.1.357
2001
Cited 77 times
Statistical Modeling of Interlocus Interactions in a Complex Disease: Rejection of the Multiplicative Model of Epistasis in Type 1 Diabetes
Abstract In general, common diseases do not follow a Mendelian inheritance pattern. To identify disease mechanisms and etiology, their genetic dissection may be assisted by evaluation of linkage in mouse models of human disease. Statistical modeling of multiple-locus linkage data from the nonobese diabetic (NOD) mouse model of type 1 diabetes has previously provided evidence for epistasis between alleles of several Idd (insulin-dependent diabetes) loci. The construction of NOD congenic strains containing selected segments of the diabetes-resistant strain genome allows analysis of the joint effects of alleles of different loci in isolation, without the complication of other segregating Idd loci. In this article, we analyze data from congenic strains carrying two chromosome intervals (a double congenic strain) for two pairs of loci: Idd3 and Idd10 and Idd3 and Idd5. The joint action of both pairs is consistent with models of additivity on either the log odds of the penetrance, or the liability scale, rather than with the previously proposed multiplicative model of epistasis. For Idd3 and Idd5 we would also not reject a model of additivity on the penetrance scale, which might indicate a disease model mediated by more than one pathway leading to β-cell destruction and development of diabetes. However, there has been confusion between different definitions of interaction or epistasis as used in the biological, statistical, epidemiological, and quantitative and human genetics fields. The degree to which statistical analyses can elucidate underlying biologic mechanisms may be limited and may require prior knowledge of the underlying etiology.
1995
Cited 76 times
Two-locus maximum lod score analysis of a multifactorial trait: joint consideration of IDDM2 and IDDM4 with IDDM1 in type 1 diabetes.
To investigate the genetic component of multifactorial diseases such as type 1 (insulin-dependent) diabetes mellitus (IDDM), models involving the joint action of several disease loci are important. These models can give increased power to detect an effect and a greater understanding of etiological mechanisms. Here, we present an extension of the maximum lod score method of N. Risch, which allows the simultaneous detection and modeling of two unlinked disease loci. Genetic constraints on the identical-by-descent sharing probabilities, analogous to the "triangle" restrictions in the single-locus method, are derived, and the size and power of the test statistics are investigated. The method is applied to affected-sib-pair data, and the joint effects of IDDM1 (HLA) and IDDM2 (the INS VNTR) and of IDDM1 and IDDM4 (FGF3-linked) are assessed with relation to the development of IDDM. In the presence of genetic heterogeneity, there is seen to be a significant advantage in analyzing more than one locus simultaneously. Analysis of these families indicates that the effects at IDDM1 and IDDM2 are well described by a multiplicative genetic model, while those at IDDM1 and IDDM4 follow a heterogeneity model.
DOI: 10.1101/gr.214102
2002
Cited 76 times
Combining Mouse Congenic Strains and Microarray Gene Expression Analyses to Study a Complex Trait: The NOD Model of Type 1 Diabetes
Combining congenic mapping with microarray expression profiling offers an opportunity to establish functional links between genotype and phenotype for complex traits such as type 1 diabetes (T1D). We used high-density oligonucleotide arrays to measure the relative expression levels of &gt;39,000 genes and ESTs in the NOD mouse (a murine model of T1D and other autoimmune conditions), four NOD-derived diabetes-resistant congenic strains, and two nondiabetic control strains. We developed a simple, yet general, method for measuring differential expression that provides an objective assessment of significance and used it to identify &gt;400 gene expression differences and eight new candidates for the Idd9.1 locus. We also discovered a potential early biomarker for autoimmune hemolytic anemia that is based on different levels of erythrocyte-specific transcripts in the spleen. Overall, however, our results suggest that the dramatic disease protection conferred by six Idd loci ( Idd3 , Idd5.1, Idd5.2, Idd9.1, Idd9.2 , and Idd9.3 ) cannot be rationalized in terms of global effects on the noninduced immune system. They also illustrate the degree to which regulatory systems appear to be robust to genetic variation. These observations have important implications for the design of future microarray-based studies in T1D and, more generally, for studies that aim to combine genome-wide expression profiling and congenic mapping. [The supplemental research data accompanying this article are available through the authors' web site ( http://www-gene.cimr.cam.ac.uk/todd/ ), and the array data have been submitted to the GEO data repository ( http://www.ncbi.nlm.nih.gov/geo/ ) under accession no. GSE11]
DOI: 10.1093/nar/gkl933
2007
Cited 66 times
T1DBase: integration and presentation of complex data for type 1 diabetes research
T1DBase (Author Webpage) [Smink et al. (2005) Nucleic Acids Res., 33, D544–D549; Burren et al. (2004) Hum. Genomics, 1, 98–109] is a public website and database that supports the type 1 diabetes (T1D) research community. T1DBase provides a consolidated T1D-oriented view of the complex data world that now confronts medical researchers and enables scientists to navigate from information they know to information that is new to them. Overview pages for genes and markers summarize information for these elements. The Gene Dossier summarizes information for a list of genes. GBrowse [Stein et al. (2002) Genome Res., 10, 1599–1610] displays genes and other features in their genomic context, and Cytoscape [Shannon et al. (2003) Genome Res., 13, 2498–2504] shows genes in the context of interacting proteins and genes. The Beta Cell Gene Atlas shows gene expression in β cells, islets, and related cell types and lines, and the Tissue Expression Viewer shows expression across other tissues. The Microarray Viewer shows expression from more than 20 array experiments. The Beta Cell Gene Expression Bank contains manually curated gene and pathway annotations for genes expressed in β cells. T1DMart is a query tool for markers and genotypes. PosterPages are ‘home pages’ about specific topics or datasets. The key challenge, now and in the future, is to provide powerful informatics capabilities to T1D scientists in a form they can use to enhance their research.
DOI: 10.1002/ejhf.426
2015
Cited 34 times
Plasma kidney injury molecule‐1 in heart failure: renal mechanisms and clinical outcome
Urinary kidney injury molecule-1 (KIM-1) is a marker of tubular damage and associated with worse outcome in heart failure (HF). Plasma KIM-1 has not been described in HF.In a renal mechanistic cohort of 120 chronic HF patients, we established the association between plasma KIM-1, renal invasive haemodynamic parameters {renal blood flow ([(131) I]hippuran clearance) and measured glomerular filtration rate (GFR; [(125) I]iothalamate)} and urinary tubular damage markers. The association between plasma KIM-1, plasma creatinine, and clinical outcome was further explored in a cohort of 2033 acute HF patients. Median plasma KIM-1 was 171.5 pg/mL (122.8-325.7) in chronic (n = 99) and 295.1 pg/mL (182.2-484.2) in acute HF (n = 1588). In chronic HF, plasma KIM-1 was associated with GFR (P < 0.001), creatinine, and cystatin C. Plasma KIM-1 was associated with urinary N-acetyl-β-d-glucosaminidase (NAG), but not with other urinary tubular damage markers. Log plasma KIM-1 predicted adverse clinical outcome after adjustment for age, gender, and GFR [hazard ratio (HR) 1.94, 95% confidence interval (CI) 1.07-3.53, P = 0.030]. Statistical significance was lost after correction for NT-proBNP (HR 1.61, 95% CI 0.81-3.20, P = 0.175). In acute HF, higher plasma KIM-1 levels were associated with higher creatinine, lower albumin, and presence of diabetes. Log plasma KIM-1 predicted 60-day HF rehospitalization (HR 1.27, 95% CI 1.03-1.55, P = 0.024), but not 180-day mortality or 60-day death or renal or cardiovascular rehospitalization.Plasma KIM-1 is associated with glomerular filtration and urinary NAG, but not with other urinary tubular damage markers. Plasma KIM-1 does not predict outcome in chronic HF after correction for NT-proBNP. In acute HF, plasma KIM-1 predicts HF rehospitalization in multivariable analysis.
DOI: 10.1002/ejhf.1378
2018
Cited 33 times
Multi‐organ dysfunction/injury on admission identifies acute heart failure patients at high risk of poor outcome
Background Clinical consequences of an interplay between dysfunction/injury of different end‐organs in acute heart failure (AHF) remain unknown. Methods and results In 284 consecutive AHF patients, end‐organ dysfunction/injury was defined as cardiac [troponin I level above the upper reference limit (URL, &gt; 0.056 ng/mL)], kidney (estimated glomerular filtration rate &lt; 60 mL/min/1.73 m 2 ), and liver [at least one of the following: aspartate transaminase (AST)/alanine transaminase (ALT) &gt; 3 times the URL (&gt; 114 IU/L and &gt; 105 IU/L for AST and ALT, respectively), bilirubin above the URL (&gt; 1.3 mg/mL), albumin below the lower reference limit (&lt; 3.5 mg/dL)]. The primary endpoints were early (within first 48 h) in‐hospital worsening of heart failure and 1‐year all‐cause mortality. On admission, cardiac, kidney, liver dysfunction/injury were present in 38%, 50%, and 54% of patients, respectively. Patients were classified as having 0, 1, 2, or 3 organ injury/dysfunction (17%, 36%, 35%, and 12% of patients, respectively). Baseline clinical characteristics and co‐morbidity profile were similar across groups. Patients with three organ dysfunction/injury had the worst 1‐year survival rate [46%; hazard ratio (HR) with 95% confidence interval (CI) vs. patients without organ dysfunction: 6.75 (2.52–18.13), those with two (67%; HR 3.54, 95% CI 1.38–9.08), one (84%; HR 1.58, 95% CI 0.58–4.30), or no organ dysfunction/injury (90%); P &lt; 0.01]. Worsening of heart failure was more frequent in patients with three and two vs. those with one or no organ dysfunction/injury (37% vs. 38% vs. 23% vs. 21%, P &lt; 0.05). Conclusions In patients with AHF, dysfunction/injury of &gt; 1 end‐organ dysfunction/injury identifies patients at the highest risk of poor outcomes.
DOI: 10.3389/fimmu.2019.02606
2019
Cited 28 times
Chronic Immune Activation in Systemic Lupus Erythematosus and the Autoimmune PTPN22 Trp620 Risk Allele Drive the Expansion of FOXP3+ Regulatory T Cells and PD-1 Expression
In systemic lupus erythematosus (SLE), perturbed immunoregulation underpins a pathogenic imbalance between regulatory and effector CD4+ T-cell activity. However, to date, the characterisation of the CD4+ regulatory T cell (Treg) compartment in SLE has yielded conflicting results. Here we show that patients have an increased frequency of CD4+FOXP3+ cells in circulation owing to a specific expansion of thymically-derived FOXP3+HELIOS+ Tregs with a demethylated FOXP3 Treg-specific demethylated region. We found that the Treg expansion was strongly associated with markers of recent immune activation, including PD-1, plasma concentrations of IL-2 and the type I interferon biomarker soluble SIGLEC-1. Since the expression of the negative T-cell signalling molecule PTPN22 is increased and a marker of poor prognosis in SLE, we tested the influence of its missense risk allele Trp620 (rs2476601C>T) on Treg frequency. Trp620 was reproducibly associated with increased frequencies of thymically-derived Tregs in blood, and increased PD-1 expression on both Tregs and effector T cells (Teffs). Our results support the hypothesis that FOXP3+ Tregs are increased in SLE patients as a consequence of a compensatory mechanism in an attempt to regulate pathogenic autoreactive Teff activity. We suggest that restoration of IL-2-mediated homeostatic regulation of FOXP3+ Tregs by IL-2 administration could prevent disease flares rather than treating at the height of a disease flare. Moreover, stimulation of PD-1 with specific agonists, perhaps in combination with low-dose IL-2, could be an effective therapeutic strategy in autoimmune disease and in other immune disorders.
DOI: 10.1112/plms/s2-43.3.190
1938
Cited 20 times
The Arithmetical Invariants of Algebraic Loci
Proceedings of the London Mathematical SocietyVolume s2-43, Issue 1 p. 190-225 Articles The Arithmetical Invariants of Algebraic Loci J. A. Todd, J. A. Todd University of ManchesterSearch for more papers by this author J. A. Todd, J. A. Todd University of ManchesterSearch for more papers by this author First published: 1938 https://doi.org/10.1112/plms/s2-43.3.190Citations: 10AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Citing Literature Volumes2-43, Issue11938Pages 190-225 RelatedInformation
DOI: 10.1093/qmath/os-7.1.168
1936
Cited 19 times
ON A QUARTIC PRIMAL WITH FORTY-FIVE NODES, IN SPACE OF FOUR DIMENSIONS
ON A QUARTIC PRIMAL WITH FORTY-FIVE NODES, IN SPACE OF FOUR DIMENSIONS Get access J. A. TODD J. A. TODD Manchester Search for other works by this author on: Oxford Academic Google Scholar The Quarterly Journal of Mathematics, Volume os-7, Issue 1, 1936, Pages 168–174, https://doi.org/10.1093/qmath/os-7.1.168 Published: 01 January 1936 Article history Published: 01 January 1936 Received: 29 January 1936
DOI: 10.2337/db22-0097
2022
Cited 13 times
Circulating C-Peptide Levels in Living Children and Young People and Pancreatic β-Cell Loss in Pancreas Donors Across Type 1 Diabetes Disease Duration
C-peptide declines in type 1 diabetes, although many long-duration patients retain low, but detectable levels. Histological analyses confirm that β-cells can remain following type 1 diabetes onset. We explored the trends observed in C-peptide decline in the UK Genetic Resource Investigating Diabetes (UK GRID) cohort (N = 4,079), with β-cell loss in pancreas donors from the network for Pancreatic Organ donors with Diabetes (nPOD) biobank and the Exeter Archival Diabetes Biobank (EADB) (combined N = 235), stratified by recently reported age at diagnosis endotypes (<7, 7-12, ≥13 years) across increasing diabetes durations. The proportion of individuals with detectable C-peptide declined beyond the first year after diagnosis, but this was most marked in the youngest age group (<1-year duration: age <7 years: 18 of 20 [90%], 7-12 years: 107 of 110 [97%], ≥13 years: 58 of 61 [95%] vs. 1-5 years postdiagnosis: <7 years: 172 of 522 [33%], 7-12 years: 604 of 995 [61%], ≥13 years: 225 of 289 [78%]). A similar profile was observed in β-cell loss, with those diagnosed at younger ages experiencing more rapid loss of islets containing insulin-positive (insulin+) β-cells <1 year postdiagnosis: age <7 years: 23 of 26 (88%), 7-12 years: 32 of 33 (97%), ≥13 years: 22 of 25 (88%) vs. 1-5 years postdiagnosis: <7 years: 1 of 12 (8.3%), 7-12 years: 7 of 13 (54%), ≥13 years: 7 of 8 (88%). These data should be considered in the planning and interpretation of intervention trials designed to promote β-cell retention and function.
DOI: 10.1186/s13063-022-06259-z
2022
Cited 12 times
INNODIA Master Protocol for the evaluation of investigational medicinal products in children, adolescents and adults with newly diagnosed type 1 diabetes
Abstract Background The INNODIA consortium has established a pan-European infrastructure using validated centres to prospectively evaluate clinical data from individuals with newly diagnosed type 1 diabetes combined with centralised collection of clinical samples to determine rates of decline in beta-cell function and identify novel biomarkers, which could be used for future stratification of phase 2 clinical trials. Methods In this context, we have developed a Master Protocol, based on the “backbone” of the INNODIA natural history study, which we believe could improve the delivery of phase 2 studies exploring the use of single or combinations of Investigational Medicinal Products (IMPs), designed to prevent or reverse declines in beta-cell function in individuals with newly diagnosed type 1 diabetes. Although many IMPs have demonstrated potential efficacy in phase 2 studies, few subsequent phase 3 studies have confirmed these benefits. Currently, phase 2 drug development for this indication is limited by poor evaluation of drug dosage and lack of mechanistic data to understand variable responses to the IMPs. Identification of biomarkers which might permit more robust stratification of participants at baseline has been slow. Discussion The Master Protocol provides (1) standardised assessment of efficacy and safety, (2) comparable collection of mechanistic data, (3) the opportunity to include adaptive designs and the use of shared control groups in the evaluation of combination therapies, and (4) benefits of greater understanding of endpoint variation to ensure more robust sample size calculations and future baseline stratification using existing and novel biomarkers.
DOI: 10.1186/s13059-022-02757-0
2022
Cited 12 times
Genetic regulation of RNA splicing in human pancreatic islets
Non-coding genetic variants that influence gene transcription in pancreatic islets play a major role in the susceptibility to type 2 diabetes (T2D), and likely also contribute to type 1 diabetes (T1D) risk. For many loci, however, the mechanisms through which non-coding variants influence diabetes susceptibility are unknown.We examine splicing QTLs (sQTLs) in pancreatic islets from 399 human donors and observe that common genetic variation has a widespread influence on the splicing of genes with established roles in islet biology and diabetes. In parallel, we profile expression QTLs (eQTLs) and use transcriptome-wide association as well as genetic co-localization studies to assign islet sQTLs or eQTLs to T2D and T1D susceptibility signals, many of which lack candidate effector genes. This analysis reveals biologically plausible mechanisms, including the association of T2D with an sQTL that creates a nonsense isoform in ERO1B, a regulator of ER-stress and proinsulin biosynthesis. The expanded list of T2D risk effector genes reveals overrepresented pathways, including regulators of G-protein-mediated cAMP production. The analysis of sQTLs also reveals candidate effector genes for T1D susceptibility such as DCLRE1B, a senescence regulator, and lncRNA MEG3.These data expose widespread effects of common genetic variants on RNA splicing in pancreatic islets. The results support a role for splicing variation in diabetes susceptibility, and offer a new set of genetic targets with potential therapeutic benefit.
DOI: 10.2337/diabetes.47.11.1797
1998
Cited 66 times
Genetic analysis of chromosome 2 in type 1 diabetes: analysis of putative loci IDDM7, IDDM12, and IDDM13 and candidate genes NRAMP1 and IA-2 and the interleukin-1 gene cluster. IMDIAB Group.
In the spontaneous mouse model of type 1 diabetes, the nonobese (NOD) strain, a type 1 diabetes locus, Idd5 , has been mapped to chromosome 1. Because mouse chromosome 1 shares a homologous 33-cM region between the genes col3a1 and col6a3 with human chromosome 2q31–q35 (data shown at http://www.ncbi.nlm.nih.gov/Omim/Homology/), several groups have searched chromosome 2 for loci affecting human type 1 diabetes. Previous studies have provided evidence for at least three type 1 diabetes loci ( IDDM7 , IDDM12 , and IDDM13 ) within a 23-cM region of chromosome 2q31–q35. We have now evaluated linkage on chromosome 2, by multipoint analysis using Mapmaker/Sibs, of 34 microsatellite markers and an interleukin-1 (IL-1) Taq I polymorphism in 352 U.K. families.
DOI: 10.1046/j.1469-1809.2000.6430207.x
2000
Cited 65 times
Adaptation of the extended transmission/disequilibrium test to distinguish disease associations of multiple loci: the Conditional Extended Transmission/Disequilibrium Test
Linkage and association studies in complex diseases are used to identify and fine map disease loci. The process of identifying the aetiological polymorphism, the molecular variant responsible for the linkage and association of the chromosome region with disease, is complicated by the low penetrance of the disease variant, the linkage disequilibrium between physically-linked polymorphic markers flanking the disease variant, and the possibility that more than one polymorphism in the most associated region is aetiological. It is important to be able to detect additional disease determinants in a region containing a cluster of genes, such as the major histocompatibility complex (MHC) region on chromosome 6p21. Some methods have been developed for detection of additional variants, such as the Haplotype Method, Marker Association Segregation Chi-squares (MASC) Method, and the Homozygous Parent Test. Here, the Extended Transmission/Disequilibrium Test is adapted to test for association conditional on a previously associated locus. This test is referred to as the Conditional Extended TDT (CETDT). We discuss the advantages of the CETDT compared to existing methods and, using simulated data, investigate the effect of polymorphism, inheritance, and linkage disequilibrium on the CETDT.
DOI: 10.1128/jcm.29.6.1276-1278.1991
1991
Cited 61 times
Genotypic identification of pathogenic Mycobacterium species by using a nonradioactive oligonucleotide probe
Commercial DNA hybridization assays (Syngene, Inc., San Diego, Calif.) utilizing alkaline phosphatase-labeled oligonucleotide probes for the identification of Mycobacterium tuberculosis complex and M. avium complex (MAC) were evaluated with 261 isolates of mycobacteria. On the basis of biochemical criteria, the test for MAC was 98% specific and more sensitive (95 of 99, 95%) than Gen-Probe (88 of 99, 89% sensitivity); the major difference in sensitivity noted between the two systems was related to the hybridization of seven MAC strains to the SNAP X probe. The M. tuberculosis complex probe correctly identified all 62 isolates of M. tuberculosis and all 11 isolates of M. bovis, for a sensitivity of 100%. There were two discrepant reactions with mycobacteria other than M. tuberculosis complex isolates.
1993
Cited 58 times
Statistical evaluation of multiple-locus linkage data in experimental species and its relevance to human studies: application to nonobese diabetic (NOD) mouse and human insulin-dependent diabetes mellitus (IDDM).
Common, familial human disorders generally do not follow Mendelian inheritance patterns, presumably because multiple loci are involved in disease susceptibility. One approach to mapping genes for such traits in humans is to first study an analogous form in an animal model, such as mouse, by using inbred strains and backcross experiments. Here we describe methodology for analyzing multiple-locus linkage data from such experimental backcrosses, particularly in light of multilocus genetic models, including the effects of epistasis. We illustrate these methods by using data from backcrosses involving nonobese diabetic mouse, which serves as an animal model for human insulin-dependent diabetes mellitus. We show that it is likely that a minimum of nine loci contribute to susceptibility, with strong epistasis effects among these loci. Three of the loci actually confer a protective effect in the homozygote, compared with the heterozygote. Further, we discuss the relevance of these studies for analogous studies of the human form of the trait. Specifically, we show that the magnitude of the gene effect in the experimental backcross is likely to correlate only weakly, at best, with the expected magnitude of effect for a human form, because in humans the gene effect will depend more heavily on disease allele frequencies than on the observed penetrance ratios; such allele frequencies are unpredictable. Hence, the major benefit from animal studies may be a better understanding of the disease process itself, rather than identification of cells through comparison mapping in humans by using regions of homology.
DOI: 10.1007/978-1-4613-0785-3_1
1989
Cited 49 times
The Molecular Basis of HLA—Disease Association
DOI: 10.1007/978-3-0348-7229-4_4
1979
Cited 45 times
The Solution of Equations
It is known that there is no formula (involving radicals only) for the roots of a general equation of degree exceeding 4. The familiar form for the roots of the quadratic $${x^2} + px + q = 0$$ is $${x_ \pm } = - {\textstyle{1 \over 2}}p \pm \sqrt {\left( {{p^2}/4} \right) - q.} $$ The formulas for the case of cubics and quartics are given in algebra texts and the reader should try to use them, checking the results obtained from tables.
DOI: 10.1016/j.jim.2009.08.012
2009
Cited 44 times
Analytical validation of a highly sensitive microparticle-based immunoassay for the quantitation of IL-13 in human serum using the Erenna® immunoassay system
IL-13 is a Th2 cytokine that has been shown to be an important mediator of airway inflammation contributing to asthma lesions. Given its proposed role in asthma, measurements of this cytokine in serum may provide insights into disease mechanisms, progression and pharmacodynamic effects of IL-13 targeted therapeutics. However, current commercially available ELISA immunoassays are frequently unable to detect baseline concentrations of IL-13 in serum from healthy individuals, which are below the limit of detection. Here we describe the use of the novel microparticle-based Erenna IL-13 human immunoassay (Singulex, Inc.), which utilizes proprietary antibodies and single molecule counting technology, to quantify IL-13 from 100 microL of serum from apparently healthy subjects and clinically defined symptomatic and asymptomatic asthma subjects. The lower limit of quantification of the Erenna assay was validated at 0.07 pg/mL and the assay detected baseline concentrations of IL-13 in 98% of serum samples tested. The calibration curve showed good precision over the entire linear range of 0.07-50 pg/mL, with inter-assay imprecision <10% CV except at the lowest concentration tested (<15%). The intra- and inter-assay imprecision of spiked serum samples containing three different IL-13 concentrations (2, 8, and 25 pg/mL) ranged from 2.2-2.4% and 6.1-6.8%, respectively. Using the Erenna IL-13 assay, we observe that serum IL-13 concentrations range from <0.07-1.02 pg/mL in apparently healthy subjects (N=60) with similar ranges in asymptomatic (0.07-0.66 pg/mL, N=26) and symptomatic (<0.07-1.26 pg/mL, N=96) asthma subjects. The Erenna immunoassay improved sensitivity by over two full logs compared to previous ELISA methods, while using smaller sample volumes. In addition, the Erenna assay reliably measured IL-13 in endogenous and spiked human serum samples that were not quantifiable using other methods. Taken together, these results show that this novel assay offers a significant improvement over previous methods for high-sensitive quantitative measurement of IL-13 in human serum samples obtained from both apparently healthy and asthmatic subjects, and can be used in future clinical studies to accurately measure concentrations of this cytokine prior to and following drug therapy in human serum.
DOI: 10.1093/ajh/hpu226
2014
Cited 34 times
Relationship Between High-Sensitivity Cardiac Troponin I and Blood Pressure Among Young and Healthy Adults
The aim of this study was to evaluate the relationship of cardiac troponin (cTn) levels with conventional and ambulatory blood pressure (BP) in young and healthy adults.We performed a population based cross-sectional analysis among 2,072 young and healthy adults aged 25-41 years free of cardiovascular disease and diabetes mellitus. cTnI was measured using a highly sensitive (hs) assay. The relationships of high sensitivity cardiac tropononin I (hs-cTnI) with office and 24-hour BP were assessed using multivariable regression analyses.Median age was 37 years and 975 (47%) participants were male. hs-cTnI levels were detectable in 2,061 (99.5%) individuals. Median (interquartile range) hs-cTnI levels were 0.98 (0.71; 1.64) ng/L among men and 0.48 (0.33; 0.71) ng/L among women. Systolic BP, but not diastolic BP, gradually increased across hs-cTnI quartiles (118, 120, 121, and 122 mm Hg for conventional BP; P = 0.0002; 122, 123, 124, and 124 mm Hg for 24-hour BP, P = 0.0001). In multivariable linear regression analyses, the β estimates for systolic BP per 1-unit increase in log transformed hs-cTnI were 2.52 for conventional BP (P = 0.0001); 2.75 for 24-hour BP (P < 0.0001); 2.71 and 2.41 (P < 0.0001 and P = 0.0002) for day and nighttime BP, respectively. There was a significant relationship between hs-cTnI and the Sokolow-Lyon Index (odds ratio (95% confidence interval): 2.09 (1.37; 3.18), P < 0.001).Using a hs assay, hs-cTnI was detectable in virtually all participants of a young and healthy population. hs-cTnI was independently associated with systolic BP and left ventricular hypertrophy.
DOI: 10.1136/bmjopen-2014-005559
2014
Cited 33 times
Rationale and study design of the Adaptive study of IL-2 dose on regulatory T cells in type 1 diabetes (DILT1D): a non-randomised, open label, adaptive dose finding trial
CD4 T regulatory cells (Tregs) are crucial for the maintenance of self-tolerance and are deficient in many common autoimmune diseases such as type 1 diabetes (T1D). Interleukin 2 (IL-2) plays a major role in the activation and function of Tregs and treatment with ultra-low dose (ULD) IL-2 could increase Treg function to potentially halt disease progression in T1D. However, prior to embarking on large phase II/III clinical trials it is critical to develop new strategies for determining the mechanism of action of ULD IL-2 in participants with T1D. In this mechanistic study we will combine a novel trial design with a clinical grade Treg assay to identify the best doses of ULD IL-2 to induce targeted increases in Tregs.Adaptive study of IL-2 dose on regulatory T cells in type 1 diabetes (DILT1D) is a single centre non-randomised, single dose, open label, adaptive dose-finding trial. The primary objective of DILT1D is to identify the best doses of IL-2 to achieve a minimal or maximal Treg increase in participants with T1D (N=40). The design has an initial learning phase where pairs of participants are assigned to five preassigned doses followed by an interim analysis to determine the two Treg targets for the reminder of the trial. This will then be followed by an adaptive phase which is fully sequential with an interim analysis after each participant is observed to determine the choice of dose based on the optimality criterion to minimise the determinant of covariance of the estimated target doses. A dose determining committee will review all data available at the interim(s) and then provide decisions regarding the choice of dose to administer to subsequent participants.Ethical approval for the study was granted on 18 February 2013.The results of this study will be reported through peer-reviewed journals, conference presentations and an internal organisational report.NCT01827735, ISRCTN27852285, DRN767.
DOI: 10.1038/ng.3751
2016
Cited 29 times
A method for identifying genetic heterogeneity within phenotypically defined disease subgroups
Many common diseases show wide phenotypic variation. We present a statistical method for determining whether phenotypically defined subgroups of disease cases represent different genetic architectures, in which disease-associated variants have different effect sizes in two subgroups. Our method models the genome-wide distributions of genetic association statistics with mixture Gaussians. We apply a global test without requiring explicit identification of disease-associated variants, thus maximizing power in comparison to standard variant-by-variant subgroup analysis. Where evidence for genetic subgrouping is found, we present methods for post hoc identification of the contributing genetic variants. We demonstrate the method on a range of simulated and test data sets, for which expected results are already known. We investigate subgroups of individuals with type 1 diabetes (T1D) defined by autoantibody positivity, establishing evidence for differential genetic architecture with positivity for thyroid-peroxidase-specific antibody, driven generally by variants in known T1D-associated genomic regions.
DOI: 10.1215/ijm/1255455740
1960
Cited 28 times
The radius of univalence of Bessel functions I
DOI: 10.1002/cpa.3160090328
1956
Cited 28 times
A direct approach to the problem of stability in the numerical solution of partial differential equations
Communications on Pure and Applied MathematicsVolume 9, Issue 3 p. 597-612 Article A direct approach to the problem of stability in the numerical solution of partial differential equations John Todd, John Todd National Bureau of StandardsSearch for more papers by this author John Todd, John Todd National Bureau of StandardsSearch for more papers by this author First published: August 1956 https://doi.org/10.1002/cpa.3160090328Citations: 21AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Citing Literature Volume9, Issue3August 1956Pages 597-612 RelatedInformation
DOI: 10.1016/j.clinbiochem.2014.12.012
2015
Cited 28 times
Prognostic significance of active and modified forms of endothelin 1 in patients with heart failure with reduced ejection fraction
Concentrations of endothelin I (ET1) are elevated in CHF patients and, like other biomarkers that reflect hemodynamic status and cardiac pathophysiology, are prognostic. The Singulex assay (Sgx-ET1) measures the active form of ET1, with a short in vivo half-life and the Brahms assay measures C-terminal endothelin-1 (CT-ET1), a modified (degraded) product with longer half-life. We aimed to determine the prognostic importance of active and modified forms of endothelin 1 (Singulex and Brahms assays) in comparison with other commonly measured biomarkers of inflammation, hemodynamic status and cardiac physiology in CHF.Plasma biomarkers (Sgx-ET1, CT-ET1, NTproBNP, IL-6, TNFα, cTnI, VEGF, hs-CRP, Galectin-3, ST2) were measured in 134 NYHA class II and III CHF patients with systolic dysfunction. Prognostic importance of biomarkers for hospitalization or death were calculated by both logistic regression and Kaplan-Meier survival analyses.CT-ET1 (OR=5.2, 95% CI=1.7-15.7) and Sgx-ET1 (OR=2.9, CI=1.1-7.7) were independent predictors of hospitalization and death and additively predicted events after adjusting for age, sex, and other significant biomarkers. Other biomarkers did not improve the model. Similarly, in Cox regression analysis, only CT-ET1 (HR 3.4, 95% CI=1.4-8.4), VEGF (2.7, 95% CI=1.3-5.4), and Sgx-ET1 (HR 2.6, 95% CI=1.2-5.6) were independently prognostic.Elevated concentrations of endothelin 1 predict mortality and hospitalizations in HF patients. Endothelin 1 was more prognostic than commonly obtained hemodynamic, inflammatory, and fibrotic biomarkers. Two different assays of endothelin 1 independently and synergistically were prognostic, suggesting either complementary information or extreme prognostic importance.
DOI: 10.1137/0106030
1958
Cited 28 times
The Evaluation of Matrix Inversion Programs
Previous article The Evaluation of Matrix Inversion ProgramsMorris Newman and John ToddMorris Newman and John Toddhttps://doi.org/10.1137/0106030PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] A. R. Collar, On the reciprocation of certain matrices, Proc. Roy. Soc. Edinburgh, 59 (1939), 195–206 MR0000008 0022.25801 CrossrefGoogle Scholar[2] A. R. Collar, On the reciprocal of a segment of a generalized Hilbert matrix, Proc. Cambridge Philos. Soc., 47 (1951), 11–17 MR0038325 0042.01303 CrossrefISIGoogle Scholar[3] Thomas C. Doyle, Inversion of symmetric coefficient matrix of positive-definite quadratic form, Math. Tables Aids Comput., 11 (1957), 55–58 MR0086382 0080.11602 CrossrefGoogle Scholar[4] F. R. Gantmakher, Theory of Matrices, Moscow, 1954, (Russian) Google Scholar[5] F. R. Gantmakher and , M. Krein, Sur les matrices complètement non-négatives et oscillatoires, Compositio Math., 4 (1937), 445–476 Google Scholar[6] S. Geršgorin, Über die Abgrenzung der Eigenwerte einer Matrix, Izv. Akad. Nauk SSSR. Ser. Mat., 7 (1931), 749–754 Google Scholar[7] D. H. Lehmer, On certain character matrices, Pacific J. Math., 6 (1956), 491–499 MR0085220 0072.03305 CrossrefGoogle Scholar[8A] D. H. Lehmer, , D. H. Browne, , N. A. Court, , Victor Thebault and , M. P. de Regt, Problems and Solutions: Elementary Problems: Problems for Solution: E706-E710, Amer. Math. Monthly, 53 (1946), 97– MR1543997 CrossrefGoogle Scholar[8B] D. H. Lehmer, , M. F. Smiley, , John Williamson and , D. M. Smiley, Problems and Solutions: Elementary Problems: Solutions: E710, Amer. Math. Monthly, 53 (1946), 534–535 MR1526543 CrossrefGoogle Scholar[9] N. S. Mendelsohn, Some elementary properties of ill conditioned matrices and linear equations, Amer. Math. Monthly, 63 (1956), 285–295 MR0078043 0072.14301 CrossrefGoogle Scholar[10] N. S. Mendelsohn, Some properties of approximate inverses of matrices, Trans. Roy. Soc. Canada Sect. III. (3), 50 (1956), 53–59 MR0082949 0074.32604 Google Scholar[11] A. R. Mitchell and , D. E. Rutherford, On the theory of relaxation, Proc. Glasgow Math. Assoc., 1 (1953), 101–110 MR0058304 0052.35005 CrossrefGoogle Scholar[12] D. E. Rutherford, Some continuant determinants arising in physics and chemistry, Proc. Roy. Soc. Edinburgh. Sect. A., 62 (1947), 229–236 MR0020070 0030.00501 Google Scholar[13] D. E. Rutherford, Some continuant determinants arising in physics and chemistry. II, Proc. Roy. Soc. Edinburgh. Sect. A., 63 (1952), 232–241 MR0059232 0046.01005 Google Scholar[14] James N. Snyder, On the improvement of the solutions to a set of simultaneous linear equations using the ILLIAC, Math. Tables Aid. Comput., 9 (1955), 177–184 MR0074097 0067.36102 CrossrefGoogle Scholar[15] John Todd, The condition of a certain matrix, Proc. Cambridge Philos. Soc., 46 (1950), 116–118 MR0033192 0034.37601 CrossrefISIGoogle Scholar[16] John Todd, The condition of certain matrices. I, Quart. J. Mech. Appl. Math., 2 (1949), 469–472 MR0034622 0034.37602 CrossrefISIGoogle Scholar[17] John Todd, The condition of certain matrices. II, Arch. Math., 5 (1954), 249–257 10.1007/BF01898363 MR0066033 0055.35502 CrossrefGoogle Scholar[18] John Todd, The condition of the finite segments of the Hilbert matrixContributions to the solution of systems of linear equations and the determination of eigenvalues, National Bureau of Standards Applied Mathematics Series No. 39, U. S. Government Printing Office, Washington, D. C., 1954, 109–116, No. 39 MR0068304 0058.01003 Google Scholar[19] A. M. Turing, Rounding-off errors in matrix processes, Quart. J. Mech. Appl. Math., 1 (1948), 287–308 MR0028100 0033.28501 CrossrefISIGoogle Scholar[20] John von Neumann and , H. H. Goldstine, Numerical inverting of matrices of high order, Bull. Amer. Math. Soc., 53 (1947), 1021–1099, see also Proc. Amer Math. Soc. , 2 (1951), pp. 188–202 MR0024235 0031.31402 CrossrefISIGoogle Scholar[21] P. A. Clement, A class of triple-diagonal matrices for test-purposes, SIAM Notes, SIAM Newsletter, 5 (1957), 3–5 0117.14202 Google Scholar[22] Mark Lotkin, A set of test matrices, Math. Tables Aids Comput., 9 (1955), 153–161 MR0074919 0067.09402 CrossrefGoogle Scholar[23] Olga Taussky, Notes on numerical analysis. II. Note on the condition of matrices, Math. Tables and Other Aids to Computation, 4 (1950), 111–112 MR0038137 CrossrefGoogle Scholar Previous article FiguresRelatedReferencesCited byDetails John von Neumann's Analysis of Gaussian Elimination and the Origins of Modern Numerical Analysis7 November 2011 | SIAM Review, Vol. 53, No. 4AbstractPDF (2608 KB)Numerical Analysis at the National Bureau of Standards18 July 2006 | SIAM Review, Vol. 17, No. 2AbstractPDF (1249 KB)Modern Error Analysis18 July 2006 | SIAM Review, Vol. 13, No. 4AbstractPDF (2275 KB)A Class of Hessenberg Matrices with Known Eigenvalues and Inverses2 August 2006 | SIAM Review, Vol. 11, No. 3AbstractPDF (237 KB) Volume 6, Issue 4| 1958Journal of the Society for Industrial and Applied Mathematics History Submitted:26 June 1958Published online:10 July 2006 InformationCopyright © 1958 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0106030Article page range:pp. 466-476ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics
DOI: 10.1112/jlms/s1-34.4.406
1959
Cited 28 times
On Representations of the Mathieu Groups as Collineation Groups
Journal of the London Mathematical SocietyVolume s1-34, Issue 4 p. 406-416 Notes and papers On Representations of the Mathieu Groups as Collineation Groups J. A. Todd, J. A. Todd Downing College CambridgeSearch for more papers by this author J. A. Todd, J. A. Todd Downing College CambridgeSearch for more papers by this author First published: October 1959 https://doi.org/10.1112/jlms/s1-34.4.406Citations: 21AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Citing Literature Volumes1-34, Issue4October 1959Pages 406-416 RelatedInformation
DOI: 10.1128/jcm.00908-18
2018
Cited 27 times
Ultrasensitive Detection of Clostridioides difficile Toxins A and B by Use of Automated Single-Molecule Counting Technology
Current tests for the detection of Clostridioides (formerly Clostridium) difficile free toxins in feces lack sensitivity, while nucleic acid amplification tests lack clinical specificity. We have evaluated the Singulex Clarity C. diff toxins A/B assay (currently in development), an automated and rapid ultrasensitive immunoassay powered by single-molecule counting technology, for detection of C. difficile toxin A (TcdA) and toxin B (TcdB) in stool. The analytical sensitivity, analytical specificity, repeatability, and stability of the assay were determined. In a clinical evaluation, frozen stool samples from 311 patients with suspected C. difficile infection were tested with the Clarity C. diff toxins A/B assay, using an established cutoff value. Samples were tested with the Xpert C. difficile/Epi assay, and PCR-positive samples were tested with an enzyme immunoassay (EIA) (C. Diff Quik Chek Complete). EIA-negative samples were further tested with a cell cytotoxicity neutralization assay. The limits of detection for TcdA and TcdB were 0.8 and 0.3 pg/ml in buffer and 2.0 and 0.7 pg/ml in stool, respectively. The assay demonstrated reactivity to common C. difficile strains, did not show cross-reactivity to common gastrointestinal pathogens, was robust against common interferents, allowed detection in fresh and frozen stool samples and in samples after three freeze-thaw cycles, and provided results with high reproducibility. Compared to multistep PCR and toxin-testing procedures, the Singulex Clarity C. diff toxins A/B assay yielded 97.7% sensitivity and 100% specificity. The Singulex Clarity C. diff toxins A/B assay is ultrasensitive and highly specific and may offer a standalone solution for rapid detection and quantitation of free toxins in stool.
DOI: 10.2307/2002701
1950
Cited 21 times
Solution of Differential Equations by Recurrence Relations
DOI: 10.1093/qjmam/2.4.469
1949
Cited 20 times
THE CONDITION OF CERTAIN MATRICES. I
Journal Article THE CONDITION OF CERTAIN MATRICES. I Get access JOHN TODD JOHN TODD National Bureau of StandardsWashington, 25, D.C. Search for other works by this author on: Oxford Academic Google Scholar The Quarterly Journal of Mechanics and Applied Mathematics, Volume 2, Issue 4, 1949, Pages 469–472, https://doi.org/10.1093/qjmam/2.4.469 Published: 01 January 1949 Article history Published: 01 January 1949 Received: 03 May 1949
DOI: 10.1017/s0305004100024932
1949
Cited 19 times
A note on the algebra of S-functions
1. The particular set of symmetric polynomials known as S -functions has recently been shown to be of importance in a variety of algebraic problems. Many of the applications of these functions depend upon the properties of the operation which Littlewood terms ‘new multiplication’, by which, from two given S -functions {μ}, {ν} of respective degrees m and n , is constructed a symmetric function {μ} ⊗ {ν} of degree mn . Littlewood has devoted a considerable part of his paper ( 2 ) to explaining various methods by which this function can be expressed in terms of S -functions of degree mn . None of these methods is really simple (in the sense that the rule for expressing the ordinary product {μ} {ν} in terms of S -functions of degree m + n is simple); and, indeed, it would be unreasonable to expect any simple rule of general validity for writing the resulting expression down since, for instance, a knowledge of the explicit expression for {μ} ⊗ { n } would yield immediately a knowledge of all the linearly independent concomitants, of degree n , of an algebraic form of type {μ} in an arbitrary number of variables. Nevertheless, the evaluation of {μ} ⊗ {ν} in particular cases is often necessary. Of the methods suggested by Littlewood for performing this evaluation the one which seems to be normally the simplest (his ‘third method’) involves a process which is not shown to be free from ambiguity, and which can actually be shown by examples to give, in certain cases, alternative solutions, the choice between which must be made by other considerations. It is therefore perhaps worth while putting on record a quite different method of procedure, which, apart from any intrinsic interest which it may possess, seems to be quite practicable for most of the actual evaluations performed by Littlewood.
DOI: 10.1112/plms/s2-46.1.199
1940
Cited 13 times
Invariant and Covariant Systems on an Algebraic Variety
Proceedings of the London Mathematical SocietyVolume s2-46, Issue 1 p. 199-230 Articles Invariant and Covariant Systems on an Algebraic Variety J. A. Todd, J. A. Todd Trinity College, CambridgeSearch for more papers by this author J. A. Todd, J. A. Todd Trinity College, CambridgeSearch for more papers by this author First published: 1940 https://doi.org/10.1112/plms/s2-46.1.199Citations: 12AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Citing Literature Volumes2-46, Issue11940Pages 199-230 RelatedInformation