Numerical simulation of a stroke: numerical problems and methodology

Stéphane Descombes (1) , Thierry Dumont (2)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées
2 ICJ - Institut Camille Jordan

The numerical simulation of an ischemic stroke is a challenging problem: a complicated geometry, and a very stiff large system of reaction-diffusion equations. This paper, intended for mathematicians as well as for biologist, gives a survey and an introduction to the numerical methods used and some results.

Domaines: Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]; Pharmacologie

Stéphane Descombes, Thierry Dumont. Numerical simulation of a stroke: numerical problems and methodology. 2007. ⟨hal-00150951⟩