Electrophysiology.

Electrophysiology.
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DOI:
10.1002/cpa.21484
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发表时间:
2013-12
影响因子:
3
通讯作者:
Peskin, Charles S.
Peskin, Charles S.
中科院分区:
数学1区
文献类型:
--
作者:
Griffith, Boyce E.;Peskin, Charles S.

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电信号是生物体内细胞的一种快速通信模式。我们在这里关注的是用于描述这类重要的生理过程的数学模型的制定和分析。这些模型一般采取的形式是由霍奇金和赫胥黎介绍的后代的偏微分方程描述的动作电位沿着鱿鱼巨大的轴突的传播。我们在这里回顾这项工作,然后继续描述霍奇金-赫胥黎主题的最新变化,包括心脏电生理学的三维bidomain(和monodomain)方程,心脏的多尺度模型,考虑到细胞结构附近的动作电位波阵面,最后一个更详细的电生理学的重新制定的电扩散。
Electrical signaling is a fast mode of communication for cells within an organism. We are concerned here with the formulation and analysis of mathematical models that are used to describe this important class of physiological processes. These models generally take the form of partial differential equations that are descendants of those introduced by Hodgkin and Huxley to describe the propagation of an action potential along the squid giant axon. We review that work here and then go on to describe more recent variations on the Hodgkin-Huxley theme, including the three-dimensional bidomain (and monodomain) equations for cardiac electrophysiology, multiscale models for the heart that take cellular structure into account near the action potential wavefront, and finally a more detailed reformulation of electrophysiology in terms of electrodiffusion.
DOI: 10.1085/jgp.43.5.867
发表时间: 1960-05
期刊: The Journal of general physiology
影响因子: --
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