Numerical simulation of a stroke: Computational problems and methodology

被引：7

作者：

Descombes, Stephane ^{[2
]}

Dumont, Thierry ^{[1
]}

机构：

[1] Univ Lyon 1, CNRS, Inst Camille Jordan, UMR 5208, F-69200 Villeurbanne, France

[2] Ecole Normale Super Lyon, CNRS, Unite Math Pures & Appl, UMR 5669, F-69364 Lyon 07, France

来源：

PROGRESS IN BIOPHYSICS & MOLECULAR BIOLOGY | 2008年 / 97卷 / 01期

关键词：

partial differential equations; numerical methods; reaction-diffusion;

D O I：

10.1016/j.pbiomolbio.2007.10.003

中图分类号：

Q5 [生物化学]; Q7 [分子生物学];

学科分类号：

071010 ; 081704 ;

摘要：

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. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：40 / 53

页数：14

共 16 条

[1] Implicit-explicit multistep methods for quasilinear parabolic equations [J].

Akrivis, G ;

Crouzeix, M ;

Makridakis, C .

NUMERISCHE MATHEMATIK, 1999, 82 (04) :521-541

[2]

[Anonymous], J COMPUT NEUROSCI

[3]

[Anonymous], PATTERNS WAVES

[4] A supernodal approach to sparse partial pivoting [J].

Demmel, JW ;

Eisenstat, SC ;

Gilbert, JR ;

Li, XYS ;

Liu, JWH .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1999, 20 (03) :720-755

[5] Operator splitting for nonlinear reaction-diffusion systems with an entropic structure: singular perturbation and order reduction [J].

Descombes, S ;

Massot, M .

NUMERISCHE MATHEMATIK, 2004, 97 (04) :667-698

[6]

Descombes S, 2001, MATH COMPUT, V70, P1481, DOI 10.1090/S0025-5718-00-01277-1

[7]

DRONNE MA, 2006, J THEOR BIOL

[8] Role of astrocytes in grey matter during stroke: A modelling approach [J].

Dronne, Marie-Aimee ;

Grenier, Emmanuel ;

Dumont, Thierry ;

Hommel, Marc ;

Boissel, Jean-Pierre .

BRAIN RESEARCH, 2007, 1138 :231-242

[9]

DUMONT T, 2007, NUMERICAL SOFTWARE R

[10]

Hairer E., 1996, Springer Series in Computational Mathematics, V14, DOI DOI 10.1007/978-3-642-05221-7

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