Displaying similar documents to “Reaction-Diffusion Modelling of Interferon Distribution in Secondary Lymphoid Organs”

Vasculogenesis Models Revisited - Measurement of VEGF Diffusion in Matrigel

T. Miura, R. Tanaka (2009)

Mathematical Modelling of Natural Phenomena

Similarity:

The circulatory system is one of the first to function during development. The earliest event in the system's development is , whereby vascular progeniter cells form clusters called blood islands, which later fuse to form capillary networks. There exists a very good system that mimics this process. When HUVECs (Human Umbilical Vein Endothelial Cells) are cultured on Matrigel, they spontaneously form a capillary network structure. Two theoretical models have been proposed to explain...

Une méthode nodale appliquée à un problème de diffusion à coefficients généralisés

Abdelkader Laazizi, Nagib Guessous (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

In this paper, we consider second order neutrons diffusion problem with coefficients in (Ω). Nodal method of the lowest order is applied to approximate the problem's solution. The approximation uses special basis functions [1] in which the coefficients appear. The rate of convergence obtained is in (Ω), with a free rectangular triangulation.

A matching of singularities in domain decomposition methods for reaction-diffusion problems with discontinuous coefficients

Chokri Chniti (2011)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Similarity:

In this paper we certify that the same approach proposed in previous works by Chniti  [ 342 (2006) 883–886; 45 (2008) 111–147; 38 (2009) 207–228] can be applied to more general operators with strong heterogeneity in the coefficients. We consider here the case of reaction-diffusion problems with piecewise constant coefficients. The problem reduces to determining the coefficients of some transmission conditions to obtain fast convergence of domain decomposition methods. After explaining...