On the use of pseudo-spectral method in model reduction and simulation of active dendrites

Donggyun Shin, Dae Ryook Yang, Jinhoon Choi

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Most of dendrites in the central nervous system are now known to have active channels. These active dendrites play important roles not only in signal summation but also in computation. For the simulation of these important active dendrites, the compartment model based on the finite volume or finite difference discretization was mainly adopted. In this paper, we employ the Chebychev pseudo-spectral method well developed in computational physics, and demonstrate that it can achieve a higher precision with the same number of equations than the compartment model. Moreover, it is also shown that the Chebychev pseudo-spectral method converges faster to attain a given precision. Hence, for the simulations of active dendrites, the Chebychev pseudo-spectral method can be an attractive alternative to the compartment model since it leads to a low order model with higher precision or converges faster for a given precision.

Original languageEnglish
Pages (from-to)340-345
Number of pages6
JournalComputers in Biology and Medicine
Volume39
Issue number4
DOIs
Publication statusPublished - 2009 Apr 1

    Fingerprint

Keywords

  • Active dendrite
  • Pseudo-spectral method
  • Reduced model

ASJC Scopus subject areas

  • Computer Science Applications
  • Health Informatics

Cite this