Multiscale modeling for the bioelectric activity of the heart

被引：101
作者：
Pennacchio, M
Savaré, G
Colli-Franzone, P
机构：
[1] CNR, Ist Matemat Applicata & Tecnol Informat, I-27100 Pavia, Italy
[2] Univ Pavia, Dipartimento Matemat F Casorati, I-27100 Pavia, Italy
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2005年 / 37卷 / 04期
关键词：
homogenization; T-convergence; degenerate evolution equations; reaction diffusion systems; FitzHugh-Nagumo dynamic; cardiac electric field; bidomain model;
D O I：
10.1137/040615249
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the mathematical models for the electrical activity of the heart at the micro- and macroscopic levels. By using the tools of the Gamma-convergence theory, a rigorous mathematical derivation of the macroscopic model, called "bidomain" and derived directly from the microscopic properties of the tissue, is presented.
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页码：1333 / 1370
页数：38
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