Reduced model and simulation of neuron with passive dendritic cable: An eigenfunction expansion approach

Bomje Woo, Donggyun Shin, Daeryook Yang, Jinhoon Choi

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The neuron models with passive dendritic cables are often used for detailed cortical network simulations (Protopapas et al., 1998; Suarez et al., 1995). For this, the compartment model based on finite volume or finite difference discretization was used. In this paper, we propose an eigenfunction expansion approach combined with singular perturbation and demonstrate that the proposed scheme can achieve an order of magnitude accuracy improvement with the same number of equations. Moreover, it is also shown that the proposed scheme converges much faster to attain a given accuracy. Hence, for a network simulation of the neurons with passive dendritic cables, the proposed scheme can be an attractive alternative to the compartment model, that leads to a low order model with much higher accuracy or that converges faster for a given accuracy.

Original languageEnglish
Pages (from-to)379-397
Number of pages19
JournalJournal of Computational Neuroscience
Volume19
Issue number3
DOIs
Publication statusPublished - 2005 Dec 1

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Keywords

  • Eigenfunction expansion
  • Neuron model with passive dendritic cables
  • Reduced model
  • Singular perturbation

ASJC Scopus subject areas

  • Sensory Systems
  • Cognitive Neuroscience
  • Cellular and Molecular Neuroscience

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