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.

引用

页码：1333 / 1370

页数：38

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