Peristaltic Transport of a Couple Stress Fluid: Some Applications to Hemodynamics

The present paper deals with a theoretical investigation of the peristaltic transport of a couple stress fluid in a porous channel. The study is motivated towards the physiological flow of blood in the micro-circulatory system, by taking account of the particle size effect. The velocity, pressure gradient, stream function and frictional force of blood are investigated, when the Reynolds number is small and the wavelength is large, by using appropriate analytical and numerical methods. Effects of different physical parameters reflecting porosity, Darcy number, couple stress parameter as well as amplitude ratio on velocity profiles, pumping action and frictional force, streamlines pattern and trapping of blood are studied with particular emphasis. The computational results are presented in graphical form. The results are found to be in good agreement with those of Shapiro et. al \cite{r25} that was carried out for a non-porous channel in the absence of couple stress effect. The present study puts forward an important observation that for peristaltic transport of a couple stress fluid during free pumping when the couple stress effect of the fluid/Darcy permeability of the medium, flow reversal can be controlled to a considerable extent. Also by reducing the permeability it is possible to avoid the occurrence of trapping phenomenon

Peristaltic Transport of a Physiological Fluid in an Asymmetric Porous Channel in the Presence of an External Magnetic Field

The paper deals with a theoretical investigation of the peristaltic transport of a physiological fluid in a porous asymmetric channel under the action of a magnetic field. The stream function, pressure gradient and axial velocity are studied by using appropriate analytical and numerical techniques. Effects of different physical parameters such as permeability, phase difference, wave amplitude and magnetic parameter on the velocity, pumping characteristics, streamline pattern and trapping are investigated with particular emphasis. The computational results are presented in graphical form. The results are found to be in perfect agreement with those of a previous study carried out for a non-porous channel in the absence of a magnetic field

Application of the penalty coupling method for the analysis of blood vessels

Due to the significant health and economic impact of blood vessel diseases on modern society, its analysis is becoming of increasing importance for the medical sciences. The complexity of the vascular system, its dynamics and material characteristics all make it an ideal candidate for analysis through fluid structure interaction (FSI) simulations. FSI is a relatively new approach in numerical analysis and enables the multi-physical analysis of problems, yielding a higher accuracy of results than could be possible when using a single physics code to analyse the same category of problems. This paper introduces the concepts behind the Arbitrary Lagrangian Eulerian (ALE) formulation using the penalty coupling method. It moves on to present a validation case and compares it to available simulation results from the literature using a different FSI method. Results were found to correspond well to the comparison case as well as basic theory

Fractional-order viscoelasticity applied to describe uniaxial stress relaxation of human arteries.

Viscoelastic models can be used to better understand arterial wall mechanics in physiological and pathological conditions. The arterial wall reveals very slow time-dependent decays in uniaxial stress-relaxation experiments, coherent with weak power-law functions. Quasi-linear viscoelastic (QLV) theory was successfully applied to modeling such responses, but an accurate estimation of the reduced relaxation function parameters can be very difficult. In this work, an alternative relaxation function based on fractional calculus theory is proposed to describe stress relaxation experiments in strips cut from healthy human aortas. Stress relaxation (1 h) was registered at three incremental stress levels. The novel relaxation function with three parameters was integrated into the QLV theory to fit experimental data. It was based in a modified Voigt model, including a fractional element of order α, called spring–pot. The stressrelaxation predictionwas accurate and fast. Sensitivity plots for each parameter presented a minimum near their optimal values. Least-squares errors remained below 2%. Values of order α = 0.1–0.3 confirmed a predominant elastic behavior. The other two parameters of the model can be associated to elastic and viscous constants that explain the time course of the observed relaxation function. The fractional-order model integrated into the QLV theory proved to capture the essential features of the arterial wall mechanical response

Electroactive biofilms: new means for electrochemistry

This work demonstrates that electrochemical reactions can be catalysed by the natural biofilms that form on electrode surfaces dipping into drinking water or compost. In drinking water, oxygen reduction was monitored with stainless steel ultra-microelectrodes under constant potential electrolysis at )0.30 V/SCE for 13 days. 16 independent experiments were conducted in drinking water, either pure or with the addition of acetate or dextrose. In most cases, the current increased and reached 1.5–9.5 times the initial current. The current increase was attributed to biofilm forming on the electrode in a similar way to that has been observed in seawater. Epifluorescence microscopy showed that the bacteria size and the biofilm morphology depended on the nutrients added, but no quantitative correlation between biofilm morphology and current was established. In compost, the oxidation process was investigated using a titanium based electrode under constant polarisation in the range 0.10–0.70 V/SCE. It was demonstrated that the indigenous micro-organisms were responsible for the current increase observed after a few days, up to 60 mA m)2. Adding 10 mM acetate to the compost amplified the current density to 145 mA m)2 at 0.50 V/SCE. The study suggests that many natural environments, other than marine sediments, waste waters and seawaters that have been predominantly investigated until now, may be able to produce electrochemically active biofilm

Nutritional valuation of schoolchildren from three Ibero-American countries: A comparative analysis of the references proposed by International Obesity Task Force (IOTF) and World Health Organization (WHO)

Introducción: El índice de masa corporal (IMC) resulta un indicador útil para valorar la condición nutricional en la infancia y adolescencia. Si bien no existe consenso respecto a los valores o puntos de corte de IMC que deben utilizarse para la diagnosis del sobrepeso, la obesidad o la insuficiencia ponderal, las referencias propuestas por la Organización Mundial de la Salud (OMS) y la International Obesity Task Force (IOTF) son las más aceptadas. No obstante, existen discrepancias importantes en los resultados obtenidos en función de una u otra referencia. Objetivo: Analizar y comparar la condición nutricional de una muestra internacional a partir del IMC, mediante la aplicación simultánea de las referencias recomendadas por la IOTF y la OMS. Métodos: Se calculó el IMC de 1289 escolares de 10 a 13 años de México, Venezuela y España. A cada niño le fue atribuida una categoría nutricional (bajo peso, normopeso, sobrepeso y obesidad) utilizando el criterio de la IOTF (puntos de corte equivalentes a 18,5; 25 y 30 en adultos) y OMS (-1 DE: bajo peso + 1 DE: sobrepeso y +2 DE: obesidad). Las prevalencias de estado nutricional obtenidas por cada criterio fueron comparadas mediante la prueba de Chi-Cuadrado. Resultados: El porcentaje de escolares en cada una de las categorías nutricionales varió significativamente en función de la referencia empleada. La prevalencia de malnutrición por exceso o por defecto fue, en ambos sexos y en los tres países, superior al emplear los parámetros OMS. La referencia OMS evidenció un 10,9% menos de niños normonutridos y un 13,1% más de malnutridos que la IOTF. Discusión: Los resultados de esta investigación permiten inferir que la referencia propuesta por la OMS resulta ser más “preventiva” al momento de identificar individuos malnutridos. Se subraya la importancia de especificar los criterios empleados para la determinación del estado nutricional en los estudios de carácter epidemiológico, así como de contrastar las referencias empleadas para el diagnóstico. Conclusiones: Las referencias OMS para IMC sobrestiman la prevalencia de bajo peso, sobrepeso y obesidad en relación a los puntos de corte propuestos por el IOTF para el diagnóstico de la malnutrición.Introduction: Body Mass Index (BMI) is a useful tool for assessing nutritional status in childhood and adolescence. Although there is no consensus on BMI values or cutoffs to be used for the diagnosis of overweight, obesity and underweight references proposed by World Health Organization (WHO) and International Obesity Task Force (IOTF) are the most accepted. However, there are significant discrepancies in the results obtained in terms of either reference. Objective: To analyze and compare the nutritional status of an international sample from IMC, by simultaneous application of IOTF and WHO recommended references. Methods: 1289 schoolchildren’s BMI between 10 and 13 years of Mexico, Venezuela and Spain was estimated. Each child was assigned a nutritional category (underweight, normal weight, overweight and obese) using the IOTF criteria (points cut equivalent to 18,5, 25 and 30 in adults) and WHO (-1 SD: low weight +1 DE: overweight and +2 SD: obesity). The prevalence of nutritional status of each criterion was compared using the Chi-square test. Results: The percentage of students in each of the nutritional categories mottled significantly depending on the reference used. The prevalence of excess or defect malnutrition, in both sexes and in all three countries, was exceeded using the WHO parameters. WHO reference showed 10,9% less than well-nourished children and 13,1 % more malnourished than the IOTF. Discussion: The results of this research allow inferring that the reference proposed by WHO appears to be more “protecting” when identifying malnourished individuals. The importance of specifying the criteria for determination of nutritional status in epidemiologic studies, as well as to contrast the references used for diagnosis, is emphasized. Conclusions: The WHO BMI references overestimate the prevalence of underweight, overweight and obesity in relation to the cutoff points proposed by the IOTF for diagnosing malnutrition.Fil: Bergel Sanchís, María Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico CONICET- La Plata. Instituto de Genética Veterinaria "Ing. Fernando Noel Dulout". Universidad Nacional de La Plata. Facultad de Ciencias Veterinarias. Instituto de Genética Veterinaria; ArgentinaFil: Cesani Rossi, María Florencia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico CONICET- La Plata. Instituto de Genética Veterinaria "Ing. Fernando Noel Dulout". Universidad Nacional de La Plata. Facultad de Ciencias Veterinarias. Instituto de Genética Veterinaria; ArgentinaFil: Cordero, Maria Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tucuman. Instituto Superior de Estudios Sociales. Universidad Nacional de Tucuman. Instituto Superior de Estudios Sociales; ArgentinaFil: Navazo, Bárbara. Universidad Nacional de la Plata. Facultad de Cs.naturales y Museo. Departamento Científico de Antropología. Cátedra de Antropología Biológica Iv; ArgentinaFil: Olmedo, S.. Programa de Ecología Reproductiva del Gran Chaco Argentino. Formosa; ArgentinaFil: Quintero, F.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico CONICET- La Plata. Instituto de Genética Veterinaria "Ing. Fernando Noel Dulout". Universidad Nacional de La Plata. Facultad de Ciencias Veterinarias. Instituto de Genética Veterinaria; Argentina. Universidad Nacional de la Plata. Facultad de Cs.naturales y Museo. Departamento Científico de Antropología. Cátedra de Antropología Biológica Iv; ArgentinaFil: Sardi, Marina Laura. Universidad Nacional de la Plata. Facultad de Cs.naturales y Museo. Departamento de Antropología; ArgentinaFil: Torres, María Fernanda. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico CONICET- La Plata. Instituto de Genética Veterinaria "Ing. Fernando Noel Dulout". Universidad Nacional de La Plata. Facultad de Ciencias Veterinarias. Instituto de Genética Veterinaria; Argentina. Universidad de Buenos Aires. Facultad de Filosofía y Letras; ArgentinaFil: Arechiga, J.. Universidad Nacional Autónoma de México; MéxicoFil: Méndez de Pérez, B. Universidad Nacional de Venezuela; VenezuelaFil: Marrodán, M. D.. Universidad Complutense de Madrid; Españ

Further developments in the Erlang(n) risk process

For actuarial aplications, we consider the Sparre–Andersen risk model when the interclaim times are Erlang(n) distributed. We first address the problem of solving an integro-differential equation that is satisfied by the survival probability and other probabilities, and show an alternative and improved method to solve such equations to that presented by Li (2008). This is done by considering the roots with positive real parts of the generalized Lundberg’s equation, and establishing a one–one relation between them and the solutions of the integro-differential equation mentioned before. Afterwards, we apply our findings above in the computation of the distribution of the maximum severity of ruin. This computation depends on the non-ruin probability and on the roots of the fundamental Lundberg’s equation. We illustrate and give explicit formulae for Erlang(3) interclaim arrivals with exponentially distributed single claim amounts and Erlang(2) interclaim times with Erlang(2) claim amounts. Finally, considering an interest force, we consider the problem of calculating the expected discounted dividends prior to ruin, finding an integro-differential equation that they satisfy and solving it. Numerical examples are also provided for illustration