A mathematical model of inflammation during ischemic stroke

Abstract In this article we propose a model to describe the inflammatory process which occurs during ischemic stroke. First, an introduction to some basic concepts about the biological phenomenon is given. Then, a detailed derivation of the model and the numerical scheme used are presented. Finally, the studies of the model robustness and sensitivity are showed and some numerical results on the time and space evolution of the process are presented and discussed. Resume Dans cet article, nous nous attachons a modeliser le processus inflammatoire lors d'un accident vasculaire cerebral ischemique. Tout d'abord, nous expliquons brievement les bases biologiques de ce phenomene. Puis, nous decrivons les equations et les schemas numeriques retenus pour le modeliser et l'implementer. Nous presentons ensuite des etudes de robustesse et de sensibilite et montrons et discutons les premiers resultats de simulation obtenus.

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