Geodesic
A mathematical model of inflammation during ischemic stroke
Cristiana Di Russo1 ; Jean-Baptiste Lagaert2 ; Guillemette Chapuisat3 ; Marie-Aimée Dronne4
1 Dipartimento di Matematica, Università degli Studi Roma Tre, Largo San Leonardo Murialdo 1, I-00146, Roma, Italy
2 Université de Bordeaux, Institut de Mathématiques, INRIA Sud-Ouest MC2, 351 cours de la Libération, 33405 Talence Cedex, France
3 LATP, UMR 6632, Université Paul Cézanne Aix-Marseille 3, avenue Escadrille Normandie-Niemen 13397 Marseille Cedex 20, France
4 Laboratoire de Biométrie et Biologie Evolutive, UMR 5558, Université Claude Bernard Lyon 1, 69000 Lyon, France
ESAIM. Proceedings, Tome 30 (2010), pp. 15-33.

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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.
DOI : 10.1051/proc/2010003

Cristiana Di Russo 1 ; Jean-Baptiste Lagaert 2 ; Guillemette Chapuisat 3 ; Marie-Aimée Dronne 4

1 Dipartimento di Matematica, Università degli Studi Roma Tre, Largo San Leonardo Murialdo 1, I-00146, Roma, Italy
2 Université de Bordeaux, Institut de Mathématiques, INRIA Sud-Ouest MC2, 351 cours de la Libération, 33405 Talence Cedex, France
3 LATP, UMR 6632, Université Paul Cézanne Aix-Marseille 3, avenue Escadrille Normandie-Niemen 13397 Marseille Cedex 20, France
4 Laboratoire de Biométrie et Biologie Evolutive, UMR 5558, Université Claude Bernard Lyon 1, 69000 Lyon, France 
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     title = {A mathematical model of inflammation during ischemic stroke},
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Cristiana Di Russo; Jean-Baptiste Lagaert; Guillemette Chapuisat; Marie-Aimée Dronne. A mathematical model of inflammation during ischemic stroke. ESAIM. Proceedings, Tome 30 (2010), pp. 15-33. doi : 10.1051/proc/2010003. http://geodesic.mathdoc.fr/articles/10.1051/proc/2010003/

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