Numerical solution of calcium-mediated dendritic branch model

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Abstract

The standard algorithms for spatial discretizations of calcium-mediated dendritic branch models via finite difference methods are quite accurate, but they are also extremely slow. To improve computational efficiency we apply spatial discretization using a spectral collocation method. Simulations using the spectral collocation method are compared to the finite difference approach using a model for calcium-mediated restructuring with spine pruning. We find that the spectral collocation method is about fifteen times more efficient to achieve similar accuracy than the finite difference approach even though spectral collocation requires more steps.

Original languageEnglish (US)
Pages (from-to)416-424
Number of pages9
JournalJournal of Computational and Applied Mathematics
Volume229
Issue number2
DOIs
StatePublished - Jul 15 2009

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Keywords

  • Dendrites
  • Dendritic spines
  • Finite difference method
  • Neuron models
  • Spectral collocation
  • Synaptic plasticity

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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