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

Bomje Woo; Donggyun Shin; Daeryook Yang; Jinhoon Choi

doi:10.1007/s10827-005-3284-5

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 journal › Article › peer-review

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 language	English
Pages (from-to)	379-397
Number of pages	19
Journal	Journal of Computational Neuroscience
Volume	19
Issue number	3
DOIs	https://doi.org/10.1007/s10827-005-3284-5
Publication status	Published - 2005 Dec

Bibliographical note

Funding Information:
This work is supported by the Korea Science and Engineering Foundation. The authors are very grateful to the anonymous reviewers for many decisive comments that lead to marked improvement of the manuscript.

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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10.1007/s10827-005-3284-5

Cite this

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title = "Reduced model and simulation of neuron with passive dendritic cable: An eigenfunction expansion approach",

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.",

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T2 - An eigenfunction expansion approach

AU - Woo, Bomje

AU - Shin, Donggyun

AU - Yang, Daeryook

AU - Choi, Jinhoon

N1 - Funding Information: This work is supported by the Korea Science and Engineering Foundation. The authors are very grateful to the anonymous reviewers for many decisive comments that lead to marked improvement of the manuscript.

PY - 2005/12

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N2 - 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.

AB - 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.

KW - Eigenfunction expansion

KW - Neuron model with passive dendritic cables

KW - Reduced model

KW - Singular perturbation

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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