Modeling electrocortical activity through improved local approximations of integral neural field equations

Neural field models of firing rate activity typically take the form of integral equations with space-dependent axonal delays. Under natural assumptions on the synaptic connectivity we show how one can derive an equivalent partial differential equation (PDE) model that properly treats the axonal delay terms of the integral formulation. Our analysis avoids the so-called long-wavelength approximation that has previously been used to formulate PDE models for neural activity in two spatial dimensions. Direct numerical simulations of this PDE model show instabilities of the homogeneous steady state that are in full agreement with a Turing instability analysis of the original integral model. We discuss the benefits of such a local model and its usefulness in modeling electrocortical activity. In particular we are able to treat "patchy'" connections, whereby a homogeneous and isotropic system is modulated in a spatially periodic fashion. In this case the emergence of a "lattice-directed" traveling wave predicted by a linear instability analysis is confirmed by the numerical simulation of an appropriate set of coupled PDEs. Article published and (c) American Physical Society 2007

Quenching phenomenon of singular parabolic problems with L1 initial data

We extend some previous existence results for quenching type parabolic problems involving a negative power of the unknown in the equation to the case of merely integrable initial data. We show that L1 Ω is the suitable framework to obtain the continuous dependence with respect to some norm of the initial datum; This way we answer to the question raised by several authors in the previous literature. We also show the complete quenching phenomena for such a L1-initial datum.

Modelo de Medición de la Gestión Estratégica Mediante el Empleo de una Estructura de Cuadro de Mando Integral Dirigido a las Empresas Pertenecientes al Sector Manufacturero de Artículos de Talabartería y Guarnicionería en Venezuela

En éste artículo se analiza las características y dimensiones de los indicadores de las Estrategias Genéricas (Porter, 1980) y de los Cuadro de Mando Integral (Kaplan y Norton, 1992), para posteriormente integrarlas y conjugarlas con el propósito de conformar un “Modelo de Medición de la Gestión Estrategia mediante una Estructura del Cuadro de Mando Integral para el Sector Manufacturero de Talabartería y Guarnicionería de Venezuela” (CMI-EGP). Los datos fueron recolectados con dos cuestionarios basados en dimensiones de éstas dos teorías, relacionadas con la alineación entre el recurso humano y la gestión organizacional. Es decir, donde cada dependencia busca alinear los enfoques estratégicos propios de la organización, para así convertirse en un factor de éxito. La metodología empírica empleada esta basada en la técnica de reducción de datos o análisis factorial y por un análisis confirmatorio mediante la técnica Structural Equation Models (SEM), que es una herramienta integral de modelización multiecuacional que fusiona la econometría con los principios de medición de la psicología y la sociología. Esta técnica estadística de análisis multivariante tiene como objetivos primordiales, el aumentar la capacidad explicativa del investigador y la eficacia estadística. La investigación proporciona una modelización confirmatoria que correlaciona las variables latentes y manifiestas, que determinan el grado de relación y alineación entre las cuatro perspectivas de cuadro de mando integral (procesos internos, financieros, del cliente y aprendizaje y crecimiento) y las estrategias genéricas de Porter. Para el procesamiento se emplea el software LISREL versión más reciente 8.8 del año 2009, que es un programa usado en el análisis de ecuaciones estructurales, que fue desarrollado en los años setenta por Karl Jöreskog y Dag Sörbom, ambos profesores de la Universidad de Upsala, Suecia.

Predictions of J integral and tensile strength of clay/epoxy nanocomposites material using phase field model

We predict macroscopic fracture related material parameters of fully exfoliated clay/epoxy nano- composites based on their fine scale features. Fracture is modeled by a phase field approach which is implemented as user subroutines UEL and UMAT in the commercial finite element software Abaqus. The phase field model replaces the sharp discontinuities with a scalar damage field representing the diffuse crack topology through controlling the amount of diffusion by a regularization parameter. Two different constitutive models for the matrix and the clay platelets are used; the nonlinear coupled system con- sisting of the equilibrium equation and a diffusion-type equation governing the phase field evolution are solved via a NewtoneRaphson approach. In order to predict the tensile strength and fracture toughness of the clay/epoxy composites we evaluated the J integral for different specimens with varying cracks. The effect of different geometry and material parameters, such as the clay weight ratio (wt.%) and the aspect ratio of clay platelets are studied.

Projeto Terapêutico Singular (PTS) [folder]

O Projeto Terapêutico Singular é uma ferramenta de organização do cuidado voltado para o indivíduo. É composta por um conjunto de medidas articuladas que buscam o cuidado integral ao paciente com coinfecção TB-HIV.

O projeto terapêutico singular e o trabalho de matriciamento

O conteúdo deste e dos demais módulos do Curso de Especialização em Saúde Mental abordam temas relativos ao cuidado territorial e à prática da atenção psicossocial voltada às pessoas em sofrimento psíquico. Inicialmente, abordam a noção de sofrimento e sua vinculação às dimensões de vida que compõem os sujeitos. Discute-se princípios, diretrizes e dispositivos da abordagem territorial como vínculo, ação territorial, responsabilização, projeto terapêutico singular, matriciamento, construção de projetos de vida, redução de danos, gestão do cuidado. Finalmente, abordam os dispositivos da Atenção Psicossocial, como as práticas de convivência, as práticas culturais, as ações de reabilitação psicossocial, o habitar, os projetos de inserção no trabalho, o protagonismo de usuários e familiares, elementos da saúde mental infanto-juvenil, e discute o conceito de Reforma Psiquiátrica e de Desinstitucionalização.

Validação da Body Appreciation Scale (BAS), Life Satisfaction Index for the Third Age (LSITA) e do Aging Perception Questionnaire (APQ) para a língua portuguesa no Brasil : um estudo em idosos brasileiros

Universidade Estadual de Campinas . Faculdade de Educação Física

Relações entre as dimensões da Imagem Corporal : um estudo em homens brasileiros

Universidade Estadual de Campinas . Faculdade de Educação Física

Shelf-life of a 2.5% sodium hypochlorite solution as determined by arrhenius equation

Accelerated stability tests are indicated to assess, within a short time, the degree of chemical degradation that may affect an active substance, either alone or in a formula, under normal storage conditions. This method is based on increased stress conditions to accelerate the rate of chemical degradation. Based on the equation of the straight line obtained as a function of the reaction order (at 50 and 70 ºC) and using Arrhenius equation, the speed of the reaction was calculated for the temperature of 20 ºC (normal storage conditions). This model of accelerated stability test makes it possible to predict the chemical stability of any active substance at any given moment, as long as the method to quantify the chemical substance is available. As an example of the applicability of Arrhenius equation in accelerated stability tests, a 2.5% sodium hypochlorite solution was analyzed due to its chemical instability. Iodometric titration was used to quantify free residual chlorine in the solutions. Based on data obtained keeping this solution at 50 and 70 ºC, using Arrhenius equation and considering 2.0% of free residual chlorine as the minimum acceptable threshold, the shelf-life was equal to 166 days at 20 ºC. This model, however, makes it possible to calculate shelf-life at any other given temperature.

Combining Legendre's Polynomials and Genetic Algorithm in the Solution of Nonlinear Initial-Value Problems

This work develops a method for solving ordinary differential equations, that is, initial-value problems, with solutions approximated by using Legendre's polynomials. An iterative procedure for the adjustment of the polynomial coefficients is developed, based on the genetic algorithm. This procedure is applied to several examples providing comparisons between its results and the best polynomial fitting when numerical solutions by the traditional Runge-Kutta or Adams methods are available. The resulting algorithm provides reliable solutions even if the numerical solutions are not available, that is, when the mass matrix is singular or the equation produces unstable running processes.

GLOBAL SOLUTIONS FOR ABSTRACT FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS

In this paper we study the existence of global solutions for a class of abstract functional differential equation with nonlocal conditions. An application is considered.

Equation of state for the magnetic-color-flavor-locked phase and its implications for compact star models

Using the solutions of the gap equations of the magnetic-color-flavor-locked (MCFL) phase of paired quark matter in a magnetic field, and taking into consideration the separation between the longitudinal and transverse pressures due to the field-induced breaking of the spatial rotational symmetry, the equation of state of the MCFL phase is self-consistently determined. This result is then used to investigate the possibility of absolute stability, which turns out to require a field-dependent ""bag constant"" to hold. That is, only if the bag constant varies with the magnetic field, there exists a window in the magnetic field vs bag constant plane for absolute stability of strange matter. Implications for stellar models of magnetized (self-bound) strange stars and hybrid (MCFL core) stars are calculated and discussed.

Entropy production in irreversible systems described by a Fokker-Planck equation

We analyze the irreversibility and the entropy production in nonequilibrium interacting particle systems described by a Fokker-Planck equation by the use of a suitable master equation representation. The irreversible character is provided either by nonconservative forces or by the contact with heat baths at distinct temperatures. The expression for the entropy production is deduced from a general definition, which is related to the probability of a trajectory in phase space and its time reversal, that makes no reference a priori to the dissipated power. Our formalism is applied to calculate the heat conductance in a simple system consisting of two Brownian particles each one in contact to a heat reservoir. We show also the connection between the definition of entropy production rate and the Jarzynski equality.

On quantum integrability of the Landau-Lifshitz model

We investigate the quantum integrability of the Landau-Lifshitz (LL) model and solve the long-standing problem of finding the local quantum Hamiltonian for the arbitrary n-particle sector. The particular difficulty of the LL model quantization, which arises due to the ill-defined operator product, is dealt with by simultaneously regularizing the operator product and constructing the self-adjoint extensions of a very particular structure. The diagonalizibility difficulties of the Hamiltonian of the LL model, due to the highly singular nature of the quantum-mechanical Hamiltonian, are also resolved in our method for the arbitrary n-particle sector. We explicitly demonstrate the consistency of our construction with the quantum inverse scattering method due to Sklyanin [Lett. Math. Phys. 15, 357 (1988)] and give a prescription to systematically construct the general solution, which explains and generalizes the puzzling results of Sklyanin for the particular two-particle sector case. Moreover, we demonstrate the S-matrix factorization and show that it is a consequence of the discontinuity conditions on the functions involved in the construction of the self-adjoint extensions.