电磁理论在心电图学中的应用。I. 积分方程的推导。
The application of electromagnetic theory to electrocardiology. I. Derivation of the integral equations.
作者信息
Barnard A C, Duck I M, Lynn M S
出版信息
Biophys J. 1967 Sep;7(5):443-62. doi: 10.1016/S0006-3495(67)86598-6.
Abstract
One of the fundamental problems of theoretical electrocardiology is to determine the potential distribution on the surface of the torso due to the time-varying dipolar heart source. In this paper we present a rigorous derivation of the integro-differential equations for the potential, containing, for the first time, the effects of the time dependence of the source and the dielectric properties of the medium. These equations provide a general and rigorous basis from which to attack the problem numerically on a computer and permit the use of a detailed model of the thorax as a multiple region volume of different dielectric and conducting properties.
摘要
理论心电图学的一个基本问题是确定由于时变偶极心脏源在躯干表面产生的电位分布。在本文中，我们给出了电位的积分 - 微分方程的严格推导，首次包含了源的时间依赖性和介质介电特性的影响。这些方程提供了一个通用且严格的基础，据此可在计算机上对该问题进行数值求解，并允许使用具有不同介电和导电特性的多区域胸腔详细模型。
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本文引用的文献
1
A MATHEMATICAL-PHYSICAL MODEL OF THE GENESIS OF THE ELECTROCARDIOGRAM.心电图发生机制的数学物理模型
Biophys J. 1964 Jul;4(4):285-301. doi: 10.1016/s0006-3495(64)86783-7.
2
Resistivity of body tissues at low frequencies.低频下人体组织的电阻率
Circ Res. 1963 Jan;12:40-50. doi: 10.1161/01.res.12.1.40.
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Capacitive properties of body tissues.人体组织的电容特性。
Circ Res. 1957 Jul;5(4):439-43. doi: 10.1161/01.res.5.4.439.
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Specific resistance of body tissues.人体组织的比电阻。
Circ Res. 1956 Nov;4(6):664-70. doi: 10.1161/01.res.4.6.664.
5
The application of electromagnetic theory to electrocardiology. II. Numerical solution of the integral equations.电磁理论在心电图学中的应用。II. 积分方程的数值解。
Biophys J. 1967 Sep;7(5):463-91. doi: 10.1016/S0006-3495(67)86599-8.
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