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

David Golomb, John Guckenheimer, Shay Gueron

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)129-137
Number of pages9
JournalBiological Cybernetics
Volume69
Issue number2
DOIs
StatePublished - Jun 1993
Externally publishedYes

ASJC Scopus subject areas

  • Biotechnology
  • Computer Science (all)

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