REDUCTION OF CONDUCTANCE-BASED NEURON MODELS

被引:98
作者
KEPLER, TB
ABBOTT, LF
MARDER, E
机构
[1] BRANDEIS UNIV,DEPT PHYS,WALTHAM,MA 02254
[2] BRANDEIS UNIV,DEPT BIOL,WALTHAM,MA 02254
[3] BRANDEIS UNIV,CTR COMPLEX SYST,WALTHAM,MA 02254
关键词
D O I
10.1007/BF00197717
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
We present a scheme for systematically reducing the number of differential equations required for biophysically realistic neuron models. The techniques are general, are designed to be applicable to a large set of such models and retain in the reduced system as high a degree of fidelity to the original system as possible. As examples, we provide reductions of the Hodgkin-Huxley system and the A-current model of Connor et al. (1977).
引用
收藏
页码:381 / 387
页数:7
相关论文
共 14 条
[1]  
ABBOTT LF, 1990, STATISTICAL MECHANIC
[2]  
BUCHHOLTZ F, IN PRESS J NEUROPHYS
[3]   NEURAL REPETITIVE FIRING - MODIFICATIONS OF HODGKIN-HUXLEY AXON SUGGESTED BY EXPERIMENTAL RESULTS FROM CRUSTACEAN AXONS [J].
CONNOR, JA ;
WALTER, D ;
MCKOWN, R .
BIOPHYSICAL JOURNAL, 1977, 18 (01) :81-102
[4]   IMPULSES AND PHYSIOLOGICAL STATES IN THEORETICAL MODELS OF NERVE MEMBRANE [J].
FITZHUGH, R .
BIOPHYSICAL JOURNAL, 1961, 1 (06) :445-&
[5]  
GOLOWASCH J, 1992, IN PRESS J NEUROPHYS
[6]   A MODEL OF THE NERVE IMPULSE USING 2 1ST-ORDER DIFFERENTIAL-EQUATIONS [J].
HINDMARSH, JL ;
ROSE, RM .
NATURE, 1982, 296 (5853) :162-164
[7]   A QUANTITATIVE DESCRIPTION OF MEMBRANE CURRENT AND ITS APPLICATION TO CONDUCTION AND EXCITATION IN NERVE [J].
HODGKIN, AL ;
HUXLEY, AF .
JOURNAL OF PHYSIOLOGY-LONDON, 1952, 117 (04) :500-544
[8]   NEURAL NETWORKS AND PHYSICAL SYSTEMS WITH EMERGENT COLLECTIVE COMPUTATIONAL ABILITIES [J].
HOPFIELD, JJ .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES, 1982, 79 (08) :2554-2558
[9]  
KRINSKII VI, 1973, BIOFIZIKA+, V18, P506
[10]  
Lapicque L., 1907, J PHYSL PARIS, V9, P620