SIMPLE DIAGRAMMATIC RULES FOR SOLVING DENDRITIC CABLE PROBLEMS

被引:17
作者
ABBOTT, LF [1 ]
机构
[1] BRANDEIS UNIV,CTR COMPLEX SYST,WALTHAM,MA 02254
来源
PHYSICA A | 1992年 / 185卷 / 1-4期
关键词
D O I
10.1016/0378-4371(92)90474-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
I present a set of diagrammatic rules for constructing a series solution of the linear cable equation on a dendritic tree of arbitrary geometry. The rules determine the Green's function for the time-dependent cable equation directly as a function of time and are particularly useful in the short-time limit. They can be implemented by computer algorithm and results from such a program are shown
引用
收藏
页码:343 / 356
页数:14
相关论文
共 18 条
[1]   THE PATH INTEGRAL FOR DENDRITIC TREES [J].
ABBOTT, LF ;
FARHI, E ;
GUTMANN, S .
BIOLOGICAL CYBERNETICS, 1991, 66 (01) :49-60
[2]   REALISTIC SYNAPTIC INPUTS FOR MODEL NEURAL NETWORKS [J].
ABBOTT, LF .
NETWORK-COMPUTATION IN NEURAL SYSTEMS, 1991, 2 (03) :245-258
[3]  
ABBOTT LF, IN PRESS NEURAL NETW
[4]   TRANSIENT POTENTIALS IN DENDRITIC SYSTEMS OF ARBITRARY GEOMETRY [J].
BUTZ, EG ;
COWAN, JD .
BIOPHYSICAL JOURNAL, 1974, 14 (09) :661-689
[5]  
HOLMES WR, 1986, BIOL CYBERN, V55, P115
[6]   EFFECTS OF UNIFORM AND NON-UNIFORM SYNAPTIC ACTIVATION-DISTRIBUTIONS ON THE CABLE PROPERTIES OF MODELED CORTICAL PYRAMIDAL NEURONS [J].
HOLMES, WR ;
WOODY, CD .
BRAIN RESEARCH, 1989, 505 (01) :12-22
[7]  
HOLMES WR, 1988, CELLULAR MECHANISM C, P345
[8]   PROPAGATION OF TRANSIENT POTENTIALS IN SOME LINEAR CABLE STRUCTURES [J].
JACK, JJB ;
REDMAN, SJ .
JOURNAL OF PHYSIOLOGY-LONDON, 1971, 215 (02) :283-&
[9]  
JACK JJB, 1975, ELECTRIC CURRENT FLO
[10]   NON-LINEAR INTERACTIONS IN A DENDRITIC TREE - LOCALIZATION, TIMING, AND ROLE IN INFORMATION-PROCESSING [J].
KOCH, C ;
POGGIO, T ;
TORRE, V .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES, 1983, 80 (09) :2799-2802