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Numerical simulation of a stroke: computational problems and methodology |
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| Authors: | Descombes Stéphane Dumont Thierry |
| Affiliation: | aUnité de Mathématiques Pures et Appliquées, CNRS UMR 5669, Ecole Normale Supérieure de Lyon, 46, Allée d’Italie, 69364 Lyon Cedex 07, France bUniversité de Lyon, Université Lyon1, CNRS, UMR 5208, Institut Camille Jordan, Bâtiment du Doyen Jean Braconnier, 43, blvd du 11 novembre 1918, F-69200 Villeurbanne Cedex, France |
| Abstract: | We discuss the difficulties of the numerical simulation of a stroke, and we describe the numerical methods which we have developed and used to obtain some realistic results. Nowadays, the computations are performed in two-dimensional slices of a brain, but the strategies to obtain full three-dimensional simulations are explored. This paper is written so as to be understandable by non-mathematicians. |
| Keywords: | Partial differential equations Numerical methods Reaction–diffusion |
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