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Simple diagrammatic rules for solving dendritic cable problems

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  • Abbott, L.F.

Abstract

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 implimented by computer algorithm and results from such a program are shown.

Suggested Citation

  • Abbott, L.F., 1992. "Simple diagrammatic rules for solving dendritic cable problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 343-356.
    • Handle: RePEc:eee:phsmap:v:185:y:1992:i:1:p:343-356
    DOI: 10.1016/0378-4371(92)90474-5
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    1. repec:dau:papers:123456789/11073 is not listed on IDEAS
    2. Cowan, L. Gray, 1974. "Madagascar. By Nigel Heseltine. (New York: Praeger Publishers, 1971. Pp. x, 334. $11.00.)," American Political Science Review, Cambridge University Press, vol. 68(2), pages 822-823, June.
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    Cited by:

    1. Marco A. Herrera-Valdez & Sergei K. Suslov & José M. Vega-Guzmán, 2014. "A Graphical Approach to a Model of a Neuronal Tree with a Variable Diameter," Mathematics, MDPI, vol. 2(3), pages 1-17, July.

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