A102 CA法を用いた神経細胞の三次元モデル(形態形成関連)

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概要

• 論文の詳細を見る

• We propose a three-dimensional analytical method of nerve excitement phenomena. Our equation combined with the Hodgkin-Huxley equation, results in a differential equation that uses the cellular automata method. Using this equation, we can simulate a nerve cell, without simplifying the internal structure of the organization or the shape of the cell body. We divide the computing space into numerous volume elements (voxels) and represent the shape of a nerve cell with the voxels. The nerve cell function is simulated in parallel by dividing the computing space into several sub-volumes and dispatching them to distinct processors. We think our method can be used to simulate the behavior of an actual large-scale neuronal network, especially when three-dimensional shape and propagation delay of the action potentials has an important role. In this paper, we considered the nonlinear propagation phenomena of the nerve activity by using our CA type model. Propagation speed of an impulse is effected by previous pulse. A pulse following its predecessor too closely may travel more slowly than a solitary pulse. In contrast, for some ranges of interspike intervals, a pulse may travel faster than normal because of a possible superexitable phase of its predecessor's wake. Pulse speeds and interspike intervals will not remain constant during propagation. The relation between speed and interspike interval, the dispersion relation, is computed for particular solutions. For each stimulus interval, we find two such solutions, one fast and one slow. The latter are likely unstable as a simple kinematic approximation shows. The solitary pulse is obtained in the limit as stimulus intervals approach infinity. At the shorter range of intervals, speed drops below the solitary pulse speed. At the intermediate range of intervals, supernormal speeds are found and these are correlated with superexcitability in the return to rest of an impulse. Our result of the computed pulse responses , calculated by neighborhood operation, clearly illustrates the dispersion relation.

• 一般社団法人日本機械学会の論文
• 2001-11-14

著者

• 村木 茂

  産総研

• 下川 和郎

  NEDO

• 下川 和郎

  国立国際医療研究センター研究所遺伝子診断治療開発研究部

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