CABLE EQUATION FOR A MYELINATED AXON DERIVED FROM ITS MICROSTRUCTURE

被引：34

作者：

BASSER, PJ

机构：

[1] Biomedical Engineering and Instrumentation Program, National Center of Research Resources, National Institutes of Health, Bethesda, 20892, MD

来源：

MEDICAL & BIOLOGICAL ENGINEERING & COMPUTING | 1993年 / 31卷

关键词：

CABLE EQUATION; COMPOSITE MODEL; HOMOGENIZATION; MICROCONTINUUM; MYELINATED AXON; SUBTHRESHOLD RESPONSE;

D O I：

10.1007/BF02446655

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A simplified cable equation that describes the subthreshold behaviour of a myelinated axon is derived from its microstructure. Specifically, a microcontinuum cable model of a composite axon is homogenised, yielding a familiar macrocontinuum cable equation of electrotonus, for which the space and time constants depend on microstructural electrical parameters. Activating functions for magnetic and electrical stimulation can be incorporated into this homogenised cable equation as sources or sinks of transmembrane potential. An integral solution to the forced cable equation is also presented for the subthreshold regime. Errors are introduced when myelin membrane resistance is assumed to be infinite.

引用

页码：S87 / S92

页数：6

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