Reduction of a channel-based model for a stomatogastric ganglion LP neuron

David Golomb; John Guckenheimer; Shay Gueron

doi:10.1007/BF00226196

Reduction of a channel-based model for a stomatogastric ganglion LP neuron

David Golomb, John Guckenheimer, Shay Gueron

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

Buchholtz et al. constructed a detailed conductance-based model of the LP cell of the stomatogastric ganglion of crustacea based upon the experimental work of Golowasch. Their model incorporated seven ionic currents and had 13 dynamical variables. We have produced a simplification of this model that has a seven-dimensional phase space by using the method of equivalent potentials, suggested by Abbott and Kepler, to combine several dynamical variables with similar time scales. Analysis of the dynamics of the reference and reduced model reveals similar bifurcation diagrams and similar dynamical behavior of the individual ionic currents.

Original language	English
Pages (from-to)	129-137
Number of pages	9
Journal	Biological Cybernetics
Volume	69
Issue number	2
DOIs	https://doi.org/10.1007/BF00226196
State	Published - 1 Jun 1993
Externally published	Yes

ASJC Scopus subject areas

Biotechnology
General Computer Science

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title = "Reduction of a channel-based model for a stomatogastric ganglion LP neuron",

abstract = "Buchholtz et al. constructed a detailed conductance-based model of the LP cell of the stomatogastric ganglion of crustacea based upon the experimental work of Golowasch. Their model incorporated seven ionic currents and had 13 dynamical variables. We have produced a simplification of this model that has a seven-dimensional phase space by using the method of equivalent potentials, suggested by Abbott and Kepler, to combine several dynamical variables with similar time scales. Analysis of the dynamics of the reference and reduced model reveals similar bifurcation diagrams and similar dynamical behavior of the individual ionic currents.",

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N2 - Buchholtz et al. constructed a detailed conductance-based model of the LP cell of the stomatogastric ganglion of crustacea based upon the experimental work of Golowasch. Their model incorporated seven ionic currents and had 13 dynamical variables. We have produced a simplification of this model that has a seven-dimensional phase space by using the method of equivalent potentials, suggested by Abbott and Kepler, to combine several dynamical variables with similar time scales. Analysis of the dynamics of the reference and reduced model reveals similar bifurcation diagrams and similar dynamical behavior of the individual ionic currents.

AB - Buchholtz et al. constructed a detailed conductance-based model of the LP cell of the stomatogastric ganglion of crustacea based upon the experimental work of Golowasch. Their model incorporated seven ionic currents and had 13 dynamical variables. We have produced a simplification of this model that has a seven-dimensional phase space by using the method of equivalent potentials, suggested by Abbott and Kepler, to combine several dynamical variables with similar time scales. Analysis of the dynamics of the reference and reduced model reveals similar bifurcation diagrams and similar dynamical behavior of the individual ionic currents.

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Reduction of a channel-based model for a stomatogastric ganglion LP neuron

Abstract

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