摘要
本文主要讨论了分层均匀且各向异性的人体胸腔场域内心电场逆问题的数学模型和有限元模型,其主要涉及了下面内容:1.建立了一种微分型的心电场数学模型,使心电场逆问题可以直接应用数值计算方法求解。2.定义了一类特殊边值问题为不适定边值问题。3.建立了三维分层均匀且各向异性媒质中的心电场逆问题有限元计算公式。4.简要讨论了心电场逆问题的优化解法。
In this paper, the mathematical model and the three-dimensional finite clement formulation of inverse problem in electrocardiography (ECG) under a general inhomogcneous and anisotropic configuration of the torso conductor is focused on. The following points are especially considered: 1. The mathamatical model is described by a differential equation instead of the Fredholm integral equation. 2. A kind of special boundary value problem is defined as ill-posed boundary value problem. 3. A group of finite element formulation, in which the method that treats anisotropic medium, is built up. 4. The calculating method of ill-posed boundary value problem is discussed.
出处
《重庆大学学报(自然科学版)》
EI
CAS
CSCD
1990年第3期33-41,共9页
Journal of Chongqing University
关键词
心电场
数学模型
有限元法
逆问题
inverse problem
ill-posed problem
finite element method
elect rocardiography
mathmatical model