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4
Integral equation solution for biopotentials of single cells.单细胞生物电位的积分方程解
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本文引用的文献

1
Passive membrane potentials: a generalization of the theory of electrotonus.被动膜电位：电紧张理论的推广
Biophys J. 1968 Mar;8(3):358-79. doi: 10.1016/S0006-3495(68)86493-8.
2
The extracellular potential field of the single active nerve fiber in a volume conductor.容积导体中单个活动神经纤维的细胞外电位场。
Biophys J. 1968 Jul;8(7):842-64. doi: 10.1016/S0006-3495(68)86524-5.
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Considerations of quasi-stationarity in electrophysiological systems.
Bull Math Biophys. 1967 Dec;29(4):657-64. doi: 10.1007/BF02476917.
4
The spatial variation of membrane potential near a small source of current in a spherical cell.球形细胞中靠近小电流源处膜电位的空间变化。
J Gen Physiol. 1970 Jun;55(6):736-57. doi: 10.1085/jgp.55.6.736.
5
Distributions of potential in cylindrical coordinates and time constants for a membrane cylinder.膜圆柱体在柱面坐标系中的电位分布及时间常数
Biophys J. 1969 Dec;9(12):1509-41. doi: 10.1016/S0006-3495(69)86468-4.

轴对称细胞生物电位的有限差分法求解

Finite difference solution for biopotentials of axially symmetric cells.

作者信息

Klee M, Plonsey R

出版信息

Biophys J. 1972 Dec;12(12):1661-75. doi: 10.1016/S0006-3495(72)86188-5.

DOI:10.1016/S0006-3495(72)86188-5
PMID:4655665
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC1484168/
Abstract

The finite difference equations necessary for calculating the three-dimensional, time-varying biopotentials within and surrounding axially symmetric cells are presented. The method of sucessive overrelaxation is employed to solve these equations and is shown to be rapidly convergent and accurate for the exemplary problem of a spheroidal cell under uniform field stimulation.

摘要

本文给出了计算轴对称细胞内部及其周围三维时变生物电位所需的有限差分方程。采用逐次超松弛法求解这些方程，并证明对于均匀场刺激下的椭球形细胞这一示例问题，该方法收敛速度快且精度高。