Reduced Model and Simulation of Neuron with Passive Dendritic Cable: An Eigenfunction Expansion Approach |
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Authors: | Bomje?Woo Donggyun?Shin Daeryook?Yang Email author" target="_blank">Jinhoon?ChoiEmail author |
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Institution: | (1) Department of Chemical & Biomolecular Engineering and Program of Integrated Biotechnology, Sogang University, 1 Sinsoo-Dong, Mapo-Koo, Seoul, 121-742, Korea;(2) Department of Chemical & Biological Engineering, Korea University, Anam-Dong, Seongbook-Koo, Seoul, 136-701, Korea |
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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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Keywords: | neuron model with passive dendritic cables reduced model eigenfunction expansion singular perturbation |
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