Numerical Methods for Some Inverse Problems of Heart Electrophysiology

被引：12
|
作者：
Denisov, A. M. [1 ]
Zakharov, E. V.
Kalinin, A. V.
Kalinin, V. V.
机构：
[1] Moscow MV Lomonosov State Univ, Moscow, Russia
来源：
DIFFERENTIAL EQUATIONS | 2009年 / 45卷 / 07期
关键词：
Inverse Problem; Approximate Solution; Cauchy Problem; Boundary Element; Laplace Equation;
D O I：
10.1134/S0012266109070106
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider numerical methods for solving inverse problems that arise in heart electrophysiology. The first inverse problem is the Cauchy problem for the Laplace equation. Its solution algorithm is based on the Tikhonov regularization method and the method of boundary integral equations. The second inverse problem is the problem of finding the discontinuity surface of the coefficient of conductivity of a medium on the basis of the potential and its normal derivative given on the exterior surface. For its numerical solution, we suggest a method based on the method of boundary integral equations and the assumption on a special representation of the unknown surface.
引用
收藏
页码：1034 / 1043
页数：10
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