Resistance in cell membrane and nerve fiber

被引：14

作者：

He, JH ^{[1
]}

机构：

[1] Donghua Univ, Coll Sci, Shanghai 200051, Peoples R China

来源：

NEUROSCIENCE LETTERS | 2005年 / 373卷 / 01期

基金：

中国国家自然科学基金;

关键词：

nerve fiber; Hodgkin-Huxley model; FitzHugh-Nagumo model; allometric scaling; He Chengtian's interpolation;

D O I：

10.1016/j.neulet.2004.09.055

中图分类号：

Q189 [神经科学];

学科分类号：

071006 ;

摘要：

A mathematical model describing the resistance in cell membrane and nerve fiber is proposed, which is naturally different from that for metal conductors. An allometric scaling law between the resistance and the section area is obtained. In the derivation, He Chengtian's interpolation, which has millennia history, is applied. Most famous models, such as the Hodgkin-Huxley model, FitzHugh-Nagumo models, should be, therefore, revised. (C) 2004 Elsevier Ireland Ltd. All rights reserved.

引用

页码：48 / 50

页数：3

共 14 条

[1] Evaluation of a model of the cochlear neural membrane. II: Comparison of model and physiological measures of membrane properties measured in response to intrameatal electrical stimulation [J].

Cartee, LA .

HEARING RESEARCH, 2000, 146 (1-2) :153-166

[2]

Chen ZH, 2004, INT J NONLINEAR SCI, V5, P17

[3] COMPUTATION OF IMPULSE INITIATION AND SALTATORY CONDUCTION IN A MYELINATED NERVE FIBER [J].

FITZHUGH, R .

BIOPHYSICAL JOURNAL, 1962, 2 (01) :11-&

[4] ACTION POTENTIAL IN MYELINATED NERVE FIBRE OF XENOPUS LAEVIS AS COMPUTED ON BASIS OF VOLTAGE CLAMP DATA [J].

FRANKENHAEUSER, B ;

HUXLEY, AF .

JOURNAL OF PHYSIOLOGY-LONDON, 1964, 171 (02) :302-&

[5]

He JH, 2004, INT J NONLIN SCI NUM, V5, P263

[6]

He JH, 2004, INT J NONLIN SCI NUM, V5, P243

[7]

He JH, 2004, INT J NONLIN SCI NUM, V5, P253

[8] He Chengtian's inequality and its applications [J].

He, JH .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (03) :887-891

[9]

He JH, 2003, INT J NONLINEAR SCI, V4, P429, DOI 10.1515/IJNSNS.2003.4.4.429

[10] Hopf bifurcation in the Hodgkin-Huxley model exposed to ELF electrical field [J].

Jiang, W ;

Tsang, KM ;

Hua, Z .

CHAOS SOLITONS & FRACTALS, 2004, 20 (04) :759-764

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