A note on moments of dividends

We reconsider a formula for arbitrary moments of expected discounted dividend payments in a spectrally negative L,vy risk model that was obtained in Renaud and Zhou (2007, [4]) and in Kyprianou and Palmowski (2007, [3]) and extend the result to stationary Markov processes that are skip-free upwards.

Multiple sclerosis decreases explicit counterfactual processing and risk taking in decision making.

INTRODUCTION: Deficits in decision making (DM) are commonly associated with prefrontal cortical damage, but may occur with multiple sclerosis (MS). There are no data concerning the impact of MS on tasks evaluating DM under explicit risk, where different emotional and cognitive components can be distinguished. METHODS: We assessed 72 relapsing-remitting MS (RRMS) patients with mild to moderate disease and 38 healthy controls in two DM tasks involving risk with explicit rules: (1) The Wheel of Fortune (WOF), which probes the anticipated affects of decisions outcomes on future choices; and (2) The Cambridge Gamble Task (CGT) which measures risk taking. Participants also underwent a neuropsychological and emotional assessment, and skin conductance responses (SCRs) were recorded. RESULTS: In the WOF, RRMS patients showed deficits in integrating positive counterfactual information (p<0.005) and greater risk aversion (p<0.001). They reported less negative affect than controls (disappointment: p = 0.007; regret: p = 0.01), although their implicit emotional reactions as measured by post-choice SCRs did not differ. In the CGT, RRMS patients differed from controls in quality of DM (p = 0.01) and deliberation time (p = 0.0002), the latter difference being correlated with attention scores. Such changes did not result in overall decreases in performance (total gains). CONCLUSIONS: The quality of DM under risk was modified by MS in both tasks. The reduction in the expression of disappointment coexisted with an increased risk aversion in the WOF and alexithymia features. These concomitant emotional alterations may have implications for better understanding the components of explicit DM and for the clinical support of MS patients.

Compromise solutions for bankruptcy situations: a note

Although classic bankruptcy problems take into account a single claims vector, Pulido et al. (2008) show that there are real bankruptcy situations where agents face more than one reference vector. In particular, they consider the claims and an additional reference vector. To analyze these situations, they propose the extreme and the diagonal approaches. Nonetheless, the former approach depends on the order of the vectors: if we interchange the claims and the reference vectors, the result changes. Moreover their study is limited to the case in which the reference vector is lower than the claims vector. In the present note, we propose an extension that solves these short- comings by introducing the idea of impartiality. Keywords: bankruptcy problems; reference point; compromise solution; impartiality.

When cholesterol is not cholesterol: a note on the enzymatic determination of its concentration in model systems containing vegetable extracts

Background: Experimental evidences demonstrate that vegetable derived extracts inhibit cholesterol absorption in the gastrointestinal tract. To further explore the mechanisms behind, we modeled duodenal contents with several vegetable extracts. Results: By employing a widely used cholesterol quantification method based on a cholesterol oxidase-peroxidase coupled reaction we analyzed the effects on cholesterol partition. Evidenced interferences were analyzed by studying specific and unspecific inhibitors of cholesterol oxidase-peroxidase coupled reaction. Cholesterol was also quantified by LC/MS. We found a significant interference of diverse (cocoa and tea-derived) extracts over this method. The interference was strongly dependent on model matrix: while as in phosphate buffered saline, the development of unspecific fluorescence was inhibitable by catalase (but not by heat denaturation), suggesting vegetable extract derived H2O2 production, in bile-containing model systems, this interference also comprised cholesterol-oxidase inhibition. Several strategies, such as cholesterol standard addition and use of suitable blanks containing vegetable extracts were tested. When those failed, the use of a mass-spectrometry based chromatographic assay allowed quantification of cholesterol in models of duodenal contents in the presence of vegetable extracts. Conclusions: We propose that the use of cholesterol-oxidase and/or peroxidase based systems for cholesterol analyses in foodstuffs should be accurately monitored, as important interferences in all the components of the enzymatic chain were evident. The use of adequate controls, standard addition and finally, chromatographic analyses solve these issues.

[Place of volunteers in home care setting for taking care of individuals with Alzheimer's disease related dementia: Qualitative survey in a specialized unit] Place du bénévolat en EHPAD dans la prise en charge des personnes atteintes de la maladie d'Alzheimer ou démences apparentées : enquête qualitative dans une unité protégée.

Objectifs En EHPAD, selon les recommandations de la Haute Autorité de santé (HAS), la prise en charge non médicamenteuse des troubles psychocomportementaux associés à la maladie d'Alzheimer ou aux syndromes apparentés, implique une réorganisation, une formation spécifique du personnel et du temps. Se pose ici la question du rôle des bénévoles dans cette prise en charge. Matériels et méthodes Enquête descriptive à partir de questionnaires distribués aux différents intervenants (bénévoles, professionnels de santé et aidants familiaux) d'une unité protégée de l'EHPAD de la clinique du Diaconat (Colmar, France) et spécifiquement élaborés pour évaluer leur vécu de l'expérience de bénévolat dans la prise en charge des résidents souffrant d'une maladie d'Alzheimer ou d'un syndrome apparenté. Résultats Sur les 101 questionnaires qui ont été remplis, 85,7 % des aidants, 60 % des bénévoles et 42,1 % des professionnels constataient des bénéfices pour eux-mêmes. Les professionnels et les aidants avaient confiance dans l'intervention des bénévoles. Cependant, les bénévoles semblaient manquer de compétence pour le soutien des aidants et dans les techniques de communication avec les résidents. Les points essentiels pour permettre un fonctionnement harmonieux entre les différents intervenants étaient de bien définir préalablement le rôle de bénévoles et d'en informer les autres intervenants, de former les bénévoles à ce rôle et de favoriser la communication entre les bénévoles et les professionnels. Conclusion Cette enquête montre que les bénévoles ont une place aux côtés des équipes soignantes pour participer à la prise en charge non médicamenteuse des personnes atteintes de maladie d'Alzheimer ou syndromes apparentés. Ils ont une position singulière et jouent un rôle complémentaire de celui des soignants et des aidants. Objectives According to the recommendation of the French High Authority of Health (HAS), the non-pharmaceutical management of psycho-behavioural disorders associated with Alzheimer's disease or related disorders in a nursing home, involves reorganization an specific training for staff members and time. This raises the question of the role of volunteering in this approach. Materials and methods A descriptive survey using questionnaires distributed to various stakeholders (volunteers, healthcare professionals and caregivers) of a protected unit of the nursing home of the Diaconat clinic (Colmar, France) and specifically designed to assess their experience of the volunteering in supporting residents suffering from Alzheimer's diseases or related disorders. Results Of the 101 questionnaires that were filled in, 85.7% of caregivers, 60% of volunteers and 42.1% of professionals recorded benefits for themselves. Professionals and informal carers had confidence in the intervention of volunteers. However, volunteers seemed to lack skills to support informal caregivers and specific knowledge about the technique of communicating with residents. The key points to favor harmonious collaborations between the different stakeholders were: to properly define the role of volunteers and to inform other stakeholders about this role previously, and to specifically educate themselves in this task and to promote communication between volunteers and all other professionals. Conclusion This study shows that volunteers have a place alongside medical teams to participate in the non-pharmaceutical treatment for people with Alzheimer's disease or related syndromes. They have a unique position and play a complementary role to that of carers and informal caregivers.

A note on the periodic orbits and topological entropy of graph maps

This paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be approximated by the entropy of its periodic orbits.

Technical Note: Dissolved organic matter fluorescence a finite mixture approach to deconvolve excitation-emission matrices

The analysis of the shape of excitation-emission matrices (EEMs) is a relevant tool for exploring the origin, transport and fate of dissolved organic matter (DOM) in aquatic ecosystems. Within this context, the decomposition of EEMs is acquiring a notable relevance. A simple mathematical algorithm that automatically deconvolves individual EEMs is described, creating new possibilities for the comparison of DOM fluorescence properties and EEMs that are very different from each other. A mixture model approach is adopted to decompose complex surfaces into sub-peaks. The laplacian operator and the Nelder-Mead optimisation algorithm are implemented to individuate and automatically locate potential peaks in the EEM landscape. The EEMs of a simple artificial mixture of fluorophores and DOM samples collected in a Mediterranean river are used to describe the model application and to illustrate a strategy that optimises the search for the optimal output.