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

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 o...

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Bibliographic Details
Published in:Computers in biology and medicine 2009-04, Vol.39 (4), p.340-345
Main Authors: Shin, Donggyun, Yang, Dae Ryook, Choi, Jinhoon
Format: Article
Language:English
Subjects:
Action Potentials - physiology
Active dendrite
Animals
Computational Biology - methods
Computer Simulation
Dendrites - physiology
Humans
Internal Medicine
Membrane Potentials
Models, Biological
Models, Neurological
Models, Theoretical
Neurons - metabolism
Neurons - physiology
Other
Pseudo-spectral method
Reduced model
Reproducibility of Results
Software
Synapses - metabolism
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Summary: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.
ISSN:0010-4825
1879-0534
DOI:10.1016/j.compbiomed.2009.01.005