Mutual information area laws for thermal free fermions

We provide a rigorous and asymptotically exact expression of the mutual information of translationally invariant free fermionic lattice systems in a Gibbs state. In order to arrive at this result, we introduce a novel frameworkfor computing determinants of Toeplitz operators with smooth symbols, and for treating Toeplitz matrices with system size dependent entries. The asymptotically exact mutual information for a partition of the one-dimensional lattice satisfies an area law, with a prefactor which we compute explicitly. As examples, we discuss the fermionic XX model in one dimension and free fermionic models on the torus in higher dimensions in detail. Special emphasis is put onto the discussion of the temperature dependence of the mutual information, scaling like the logarithm of the inverse temperature, hence confirming an expression suggested by conformal field theory. We also comment on the applicability of the formalism to treat open systems driven by quantum noise. In the appendix, we derive useful bounds to the mutual information in terms of purities. Finally, we provide a detailed error analysis for finite system sizes. This analysis is valuable in its own right for the abstract theory of Toeplitz determinants.Comment: 42 pages, 4 figures, replaced by final versio

The accumulation of deficits approach to describe frailty

The advancing age of the participants of the European Prospective Investigation into Cancer and Nutrition (EPIC)-Potsdam study was the incentive to investigate frailty as a major parameter of ageing. The aim of this study was to develop a multidimensional tool to measure frailty in an ageing, free-living study population. The "accumulation of deficits approach" was used to develop a frailty index (FI) to characterize a sub-sample (N = 815) of the EPIC-Potsdam (EPIC-P) study population regarding the aging phenomenon. The EPIC-P frailty index (EPIC-P-FI) included 32 variables from the following domains: health, physical ability, psychosocial and physiological aspects. P-values were calculated for the linear trend between sociodemographic and life style variables and the EPIC-P-FI was calculated using regression analysis adjusted for age. The relationship between the EPIC-P-FI and age was investigated using fractional polynomials. Some characteristics such as age, education, time spent watching TV, cycling and a biomarker of inflammation (C-reactive protein) were associated with frailty in men and women. Interestingly, living alone, having no partner and smoking status were only associated with frailty in men, and alcohol use and physical fitness (VO2max) only in women. The generated, multidimensional FI, adapted to the EPIC-P study, showed that this cohort is a valuable source for further exploration of factors that promote healthy ageing

No association of alcohol use and the risk of ulcerative colitis or Crohn’s disease: data from a European Prospective cohort study (EPIC)

Background The role of long -term alcohol consumption for the risk of developing ulcerative colitis (UC) and Crohn’s disease (CD) is unclear. Aim s For the first time, t o prospectively assess the role of pre -disease alcohol consumption o n the risk of developing UC or CD. Methods Nested within the European Prospective Investigation into Cancer and Nutrition (EPIC - IBD ), incident UC and CD cases and ma tched controls where included. At recruitment, participants completed validated food frequency and lifestyle questionnaires. Alcohol consumption was classified as either: non -use, former, light ( ≤ 0.5 and 1 drink/week), below the recommended limits (BRL) ( ≤ 1 and 2 drinks/day), moderate ( ≤ 2.5 and 5 drinks/day) , or heavy use (>2.5 and >5 drinks/ day) for women and men, respectively ; and was expressed as consumption at enrolment and during lifetime. Conditional logistic regression was applied adjusting for smoking and education , taking light users as the 3 Abstract Background The role of long -term alcohol consumption for the risk of developing ulcerative colitis (UC) and Crohn’s disease (CD) is unclear. Aim s For the first time, t o prospectively assess the role of pre -disease alcohol consumption o n the risk of developing UC or CD. Methods Nested within the European Prospective Investigation into Cancer and Nutrition (EPIC - IBD ), incident UC and CD cases and ma tched controls where included. At recruitment, participants completed validated food frequency and lifestyle questionnaires. Alcohol consumption was classified as either: non -use, former, light ( ≤ 0.5 and 1 drink/week), below the recommended limits (BRL) ( ≤ 1 and 2 drinks/day), moderate ( ≤ 2.5 and 5 drinks/day) , or heavy use (>2.5 and >5 drinks/ day) for women and men, respectively ; and was expressed as consumption at enrolment and during lifetime. Conditional logistic regression was applied adjusting for smoking and education , taking light users as the reference. Results Out of 262,451 participants in 6 countries, 198 UC incident cases/792 controls and 84 CD cases/336 controls were included. At enrolment, 8%/27%/3 2%/2 3%/1 1% UC cases and 7%/2 9%/4 0%/19%/ 5% C D cases were: non -users, light, BRL, moderate and heavy users, respectively. The corresponding figures for lifetime non -use, former, light, BRL, moderate and heavy use were : 3%/5%/2 3%/44%/19%/6% and 5%/2%/25%/44%/23 %/1% for UC and CD cases , respectively. There were no associations between any categories of alcohol consumption and risk of UC or CD in the una djusted and adjusted odds ratios . Conclusion There was no evidence of association s between alcohol use and the odds of developing either UC or CD

Metabolite ratios as potential biomarkers for type 2 diabetes:a DIRECT study

Aims/hypothesis Circulating metabolites have been shown to reflect metabolic changes during the development of type 2 diabetes. In this study we examined the association of metabolite levels and pairwise metabolite ratios with insulin responses after glucose, glucagon-like peptide-1 (GLP-1) and arginine stimulation. We then investigated if the identified metabolite ratios were associated with measures of OGTT-derived beta cell function and with prevalent and incident type 2 diabetes. Methods We measured the levels of 188 metabolites in plasma samples from 130 healthy members of twin families (from the Netherlands Twin Register) at five time points during a modified 3 h hyperglycaemic clamp with glucose, GLP-1 and arginine stimulation. We validated our results in cohorts with OGTT data (n = 340) and epidemiological case–control studies of prevalent (n = 4925) and incident (n = 4277) diabetes. The data were analysed using regression models with adjustment for potential confounders. Results There were dynamic changes in metabolite levels in response to the different secretagogues. Furthermore, several fasting pairwise metabolite ratios were associated with one or multiple clamp-derived measures of insulin secretion (all p Conclusion/interpretation In this study we have shown that the Val_PC ae C32:2 metabolite ratio is associated with an increased risk of type 2 diabetes and measures of insulin secretion and resistance. The observed effects were stronger than that of the individual metabolites and independent of known risk factors.</p

Effects of acarbose treatment on markers of insulin sensitivity and systemic inflammation

Background: This study assessed the effect of postprandial glucose reduction by acarbose on insulin sensitivity and biomarkers of systemic inflammation. Methods: This was a single-center, double-blind, randomized, placebo-controlled, crossover study <40 weeks in duration, involving 66 subjects with varying degrees of glucose tolerance. Eligible patients completed a 3-week run-in period and were randomized to receive either 100 mg of acarbose three times daily followed by placebo, or vice versa, lasting 12 weeks each with a 12-week washout between interventions. Liquid meal challenges and hyperinsulinemic-euglycemic glucose clamp were performed at weeks 0, 12, 24, and 36. Results: Fasting proinsulin levels and proinsulin-to-adiponectin ratios but not fasting adiponectin levels were significantly lower during acarbose versus placebo treatment. Clamp-derived insulin sensitivity index and body weight were unchanged by the intervention. Levels of fasting insulin, fasting glucose, monocyte chemoattractant protein-1, interleukin-6, and interleukin-1 beta were comparable between treatments. In the liquid meal challenge tests, postprandial glucose and insulin responses were significantly lower during acarbose versus placebo treatment. The effects of acarbose on the reduction of fasting proinsulin was most pronounced in subjects with impaired fasting glucose/impaired glucose tolerance (n = 24). Conclusions: Reduction of the glycemic load by acarbose decreased fasting levels of proinsulin but had no effect on adiponectin and whole-body insulin sensitivity as well as biomarkers reflecting inflammation. The preventive effects of acarbose on type 2 diabetes mellitus and cardiovascular risk need further investigation and cannot be explained by changes of insulin resistance and inflammatory biomarkers

Hepatic insulin clearance is closely related to metabolic syndrome components

OBJECTIVE Insulin clearance is decreased in type 2 diabetes mellitus (T2DM) for unknown reasons. Subjects with metabolic syndrome are hyperinsulinemic and have an increased risk of T2DM. We aimed to investigate the relationship between hepatic insulin clearance (HIC) and different components of metabolic syndrome and tested the hypothesis that HIC may predict the risk of metabolic syndrome. RESEARCH DESIGN AND METHODS Individuals without diabetes from the Metabolic Syndrome Berlin Brandenburg (MeSyBePo) study (800 subjects with the baseline examination and 189 subjects from the MeSyBePo recall study) underwent an oral glucose tolerance test (OGTT) with assessment of insulin secretion (insulin secretion rate [ISR]) and insulin sensitivity. Two indices of HIC were calculated. RESULTS Both HIC indices showed lower values in subjects with metabolic syndrome (P < 0.001) at baseline. HIC indices correlate inversely with waist circumference, diastolic blood pressure, fasting glucose, triglycerides, and OGTT-derived insulin secretion index. During a mean follow-up of 5.1 ± 0.9 years, 47 individuals developed metabolic syndrome and 33 subjects progressed to impaired glucose metabolism. Both indices of HIC showed a trend of an association with increased risk of metabolic syndrome (HICC-peptide odds ratio 1.13 [95% CI 0.97–1.31], P = 0.12, and HICISR 1.38 [0.88–2.17], P = 0.16) and impaired glucose metabolism (HICC-peptide 1.12 [0.92–1.36], P = 0.26, and HICISR 1.31 [0.74–2.33] P = 0.36), although point estimates reached no statistical significance. CONCLUSIONS HIC was associated with different components of metabolic syndrome and markers of insulin secretion and insulin sensitivity. Decreased HIC may represent a novel pathophysiological mechanism of the metabolic syndrome, which may be used additionally for early identification of high-risk subjects

Erratum : No association of alcohol use and the risk of ulcerative colitis or Crohn's disease: Data from a European Prospective cohort study (EPIC) (European Journal of Clinical Nutrition (2017) 71 (512-518) DOI: 10.1038/ejcn.2016.271)

Since the publication of this article, the authors have noticed an error in author affiliation 1. The correct affiliation is: Department of Epidemiology, German Institute of Human Nutrition, Potsdam, Germany. The PDF and html versions have been amended. The authors apologise for any inconvenience caused