Symmetries and fixed point stability of stochastic differential equations modeling self-organized criticality

A stochastic nonlinear partial differential equation is constructed for two different models exhibiting self-organized criticality: the Bak-Tang-Wiesenfeld (BTW) sandpile model [Phys. Rev. Lett. 59, 381 (1987); Phys. Rev. A 38, 364 (1988)] and the Zhang model [Phys. Rev. Lett. 63, 470 (1989)]. The dynamic renormalization group (DRG) enables one to compute the critical exponents. However, the nontrivial stable fixed point of the DRG transformation is unreachable for the original parameters of the models. We introduce an alternative regularization of the step function involved in the threshold condition, which breaks the symmetry of the BTW model. Although the symmetry properties of the two models are different, it is shown that they both belong to the same universality class. In this case the DRG procedure leads to a symmetric behavior for both models, restoring the broken symmetry, and makes accessible the nontrivial fixed point. This technique could also be applied to other problems with threshold dynamics.

Who Cares? A comparison of informal and formal care provision in Spain, England and the USA

This paper investigates the prevalence of incapacity in performing daily activities and the associations between household composition and availability of family members and receipt of care among older adults with functioning problems in Spain, England and the United States of America (USA). We examine how living arrangements, marital status, child availability, limitations in functioning ability, age and gender affect the probability of receiving formal care and informal care from household members and from others in three countries with different family structures, living arrangements and policies supporting care of the incapacitated. Data sources include the 2006 Survey of Health, Ageing and Retirement in Europe for Spain, the third wave of the English Longitudinal Study of Ageing (2006), and the eighth wave of the USA Health and Retirement Study (2006). Logistic and multinomial logistic regressions are used to estimate the probability of receiving care and the sources of care among persons age 50 and older. The percentage of people with functional limitations receiving care is higher in Spain. More care comes from outside the household in the USA and England than in Spain. The use of formal care among the incapacitated is lowest in the USA and highest in Spain.

An efficient algorithm to perform multiple testing in epistasis screening

Background: Research in epistasis or gene-gene interaction detection for human complex traits has grown over the last few years. It has been marked by promising methodological developments, improved translation efforts of statistical epistasis to biological epistasis and attempts to integrate different omics information sources into the epistasis screening to enhance power. The quest for gene-gene interactions poses severe multiple-testing problems. In this context, the maxT algorithm is one technique to control the false-positive rate. However, the memory needed by this algorithm rises linearly with the amount of hypothesis tests. Gene-gene interaction studies will require a memory proportional to the squared number of SNPs. A genome-wide epistasis search would therefore require terabytes of memory. Hence, cache problems are likely to occur, increasing the computation time. In this work we present a new version of maxT, requiring an amount of memory independent from the number of genetic effects to be investigated. This algorithm was implemented in C++ in our epistasis screening software MBMDR-3.0.3. We evaluate the new implementation in terms of memory efficiency and speed using simulated data. The software is illustrated on real-life data for Crohn’s disease. Results: In the case of a binary (affected/unaffected) trait, the parallel workflow of MBMDR-3.0.3 analyzes all gene-gene interactions with a dataset of 100,000 SNPs typed on 1000 individuals within 4 days and 9 hours, using 999 permutations of the trait to assess statistical significance, on a cluster composed of 10 blades, containing each four Quad-Core AMD Opteron(tm) Processor 2352 2.1 GHz. In the case of a continuous trait, a similar run takes 9 days. Our program found 14 SNP-SNP interactions with a multiple-testing corrected p-value of less than 0.05 on real-life Crohn’s disease (CD) data. Conclusions: Our software is the first implementation of the MB-MDR methodology able to solve large-scale SNP-SNP interactions problems within a few days, without using much memory, while adequately controlling the type I error rates. A new implementation to reach genome-wide epistasis screening is under construction. In the context of Crohn’s disease, MBMDR-3.0.3 could identify epistasis involving regions that are well known in the field and could be explained from a biological point of view. This demonstrates the power of our software to find relevant phenotype-genotype higher-order associations.

Prediction of the economic cost of individual long-term care in the Spanish population

Pensions together with savings and investments during active life are key elements of retirement planning. Motivation for personal choices about the standard of living, bequest and the replacement ratio of pension with respect to last salary income must be considered. This research contributes to the financial planning by helping to quantify long-term care economic needs. We estimate life expectancy from retirement age onwards. The economic cost of care per unit of service is linked to the expected time of needed care and the intensity of required services. The expected individual cost of long-term care from an onset of dependence is estimated separately for men and women. Assumptions on the mortality of the dependent people compared to the general population are introduced. Parameters defining eligibility for various forms of coverage by the universal public social care of the welfare system are addressed. The impact of the intensity of social services on individual predictions is assessed, and a partial coverage by standard private insurance products is also explored. Data were collected by the Spanish Institute of Statistics in two surveys conducted on the general Spanish population in 1999 and in 2008. Official mortality records and life table trends were used to create realistic scenarios for longevity. We find empirical evidence that the public long-term care system in Spain effectively mitigates the risk of incurring huge lifetime costs. We also find that the most vulnerable categories are citizens with moderate disabilities that do not qualify to obtain public social care support. In the Spanish case, the trends between 1999 and 2008 need to be further explored.

Satisfaction with pregnancy and delivery services: The quality of maternity care services as experienced by women

Objective: The objective of this study was to investigate the opinions of women regarding the satisfaction about the quality of maternity care received. We hope to establish whether health care technology increases satisfaction or whether it actually interferes with the construction of personal satisfaction in the process of care. Design and setting: Information was gathered using the focus group technique. The area of study comprised the post-natal groups run as part of the Sexual and Reproductive Health Programme of the Catalan Health Authority. (Spain) Participants: Five focus groups were held between May 2006 and July 2007. Findings: Quality of care is a complex concept in which a number of independent core features can be identified. We have grouped these core features into three basic categories. Safety: the hospital and its technological facilities, and the technical expertise of health professionals. The other two main pillars of quality of care are the human dimension of the relationship between the carers and the patient, and finally the structural aspects that determine the context in which the heath care is provided. Key conclusions and implications for practice: The mothers of our study feel satisfied with healthcare technology and view it as a source of security; technology become indispensable features in order to reduce the anxiety provoked by the perceived lack of confidence in their ability as mothers. In this study, women, both during pregnancy and especially when giving birth, believe their feelings and values should be understood by professionals, from whom they seek empathy and a personal commitment, and not just information.

Satisfaction with pregnancy and delivery services: The quality of maternity care services as experienced by women

Objective: The objective of this study was to investigate the opinions of women regarding the satisfaction about the quality of maternity care received. We hope to establish whether health care technology increases satisfaction or whether it actually interferes with the construction of personal satisfaction in the process of care. Design and setting: Information was gathered using the focus group technique. The area of study comprised the post-natal groups run as part of the Sexual and Reproductive Health Programme of the Catalan Health Authority. (Spain) Participants: Five focus groups were held between May 2006 and July 2007. Findings: Quality of care is a complex concept in which a number of independent core features can be identified. We have grouped these core features into three basic categories. Safety: the hospital and its technological facilities, and the technical expertise of health professionals. The other two main pillars of quality of care are the human dimension of the relationship between the carers and the patient, and finally the structural aspects that determine the context in which the heath care is provided. Key conclusions and implications for practice: The mothers of our study feel satisfied with healthcare technology and view it as a source of security; technology become indispensable features in order to reduce the anxiety provoked by the perceived lack of confidence in their ability as mothers. In this study, women, both during pregnancy and especially when giving birth, believe their feelings and values should be understood by professionals, from whom they seek empathy and a personal commitment, and not just information.

Possible new ways in the pharmacological treatment of bipolar disorder and comorbid alcoholism.

Possible new ways in the pharmacological treatment of bipolar disorder and comorbid alcoholism. Azorin JM, Bowden CL, Garay RP, Perugi G, Vieta E, Young AH. Source Department of Psychiatry, CHU Sainte Marguerite, Marseilles, France. Abstract About half of all bipolar patients have an alcohol abuse problem at some point of their lifetime. However, only one randomized, controlled trial of pharmacotherapy (valproate) in this patient population was published as of 2006. Therefore, we reviewed clinical trials in this indication of the last four years (using mood stabilizers, atypical antipsychotics, and other drugs). Priority was given to randomized trials, comparing drugs with placebo or active comparator. Published studies were found through systematic database search (PubMed, Scirus, EMBASE, Cochrane Library, Science Direct). In these last four years, the only randomized, clinically relevant study in bipolar patients with comorbid alcoholism is that of Brown and colleagues (2008) showing that quetiapine therapy decreased depressive symptoms in the early weeks of use, without modifying alcohol use. Several other open-label trials have been generally positive and support the efficacy and tolerability of agents from different classes in this patient population. Valproate efficacy to reduce excessive alcohol consumption in bipolar patients was confirmed and new controlled studies revealed its therapeutic benefit to prevent relapse in newly abstinent alcoholics and to improve alcohol hallucinosis. Topiramate deserves to be investigated in bipolar patients with comorbid alcoholism since this compound effectively improves physical health and quality of life of alcohol-dependent individuals. In conclusion, randomized, controlled research is still needed to provide guidelines for possible use of valproate and other agents in patients with a dual diagnosis of bipolar disorder and substance abuse or dependence.