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

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 exp...

Full description

Saved in:
Bibliographic Details
Published in:Journal of computational neuroscience 2005-12, Vol.19 (3), p.379-397
Main Authors: Woo, Bomje, Shin, Donggyun, Yang, Daeryook, Choi, Jinhoon
Format: Article
Language:English
Subjects:
Algorithms
Computer Simulation
Dendrites - physiology
Models, Neurological
Models, Statistical
Neurons - physiology
Synapses - physiology
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0929-5313
1573-6873
DOI:10.1007/s10827-005-3284-5