BIFURCATION OF THE HODGKIN AND HUXLEY EQUATIONS - A NEW TWIST

被引：69

作者：

GUCKENHEIMER, J ^{[1
]}

LABOURIAU, IS ^{[1
]}

机构：

[1] UNIV PORTO, DEPT MATH APL, P-4000 OPORTO, PORTUGAL

来源：

BULLETIN OF MATHEMATICAL BIOLOGY | 1993年 / 55卷 / 05期

关键词：

D O I：

10.1007/BF02460693

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The Hodgkin and Huxley equations model action potentials in squid giant axons. Variants of these equations are used in most models for electrical activity of excitable membranes. Computational tools based upon the theory of nonlinear dynamical systems are used here to illustrate how the dynamical behavior of the Hodgkin Huxley model changes as functions of two of the system parameters.

引用

页码：937 / 952

页数：16

共 28 条

[11] Guckenheimer J., 2013, APPL MATH SCI, DOI 10.1007/978-1-4612- 1140-2
[12] GUCKENHEIMER J, 1990, KAOS MATH SCI I TECH
[13] CONTROL OF REPETITIVE FIRING IN SQUID AXON MEMBRANE AS A MODEL FOR A NEURONE-OSCILLATOR
GUTTMAN, R
LEWIS, S
RINZEL, J
[J]. JOURNAL OF PHYSIOLOGY-LONDON, 1980, 305 (AUG): : 377 - 395
[14] HASSARD BD, 1987, ISOLATED PERIODIC SO
[15] Hille B., 1992, IONIC CHANNELS EXCIT
[16] A QUANTITATIVE DESCRIPTION OF MEMBRANE CURRENT AND ITS APPLICATION TO CONDUCTION AND EXCITATION IN NERVE
HODGKIN, AL
HUXLEY, AF
[J]. JOURNAL OF PHYSIOLOGY-LONDON, 1952, 117 (04): : 500 - 544
[17] CURRENTS CARRIED BY SODIUM AND POTASSIUM IONS THROUGH THE MEMBRANE OF THE GIANT AXON OF LOLIGO
HODGKIN, AL
HUXLEY, AF
[J]. JOURNAL OF PHYSIOLOGY-LONDON, 1952, 116 (04): : 449 - 472
[18] HOLDEN AV, 1985, J THEOR NEUROBIOL, V4, P61
[19] JACK JJB, 1975, ELECTRIC CURRENT FLO
[20] KEPLER TB, 1992, REDUCTION CONDUCTANC

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