On uniqueness theorems for the inverse problem of electrocardiography in the Sobolev spaces

被引：3

作者：

Kalinin, Vitaly ^{[1
]}

Shlapunov, Alexander ^{[2
]}

Ushenin, Konstantin ^{[1
]}

机构：

[1] EP Solut SA, Yverdon, Switzerland

[2] Siberian Fed Univ, Inst Math & Comp Sci, Pr Svobodnyi 79, Krasnoyarsk 660041, Russia

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2023年 / 103卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

REACTION-DIFFUSION SYSTEMS; BIDOMAIN MODEL; CAUCHY-PROBLEM; HEART; HOMOGENIZATION; EXISTENCE;

D O I：

10.1002/zamm.202100217

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a mathematical model related to reconstruction of cardiac electrical activity from ECG measurements on the body surface. An application of recent developments in solving boundary value problems for elliptic and parabolic equations in Sobolev type spaces allows us to obtain uniqueness theorems for the model. The obtained results can be used as a sound basis for creating numerical methods for non-invasive mapping of the heart.

引用

页数：25

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