| 神经脉冲波传播形态的研究 |
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| 引用本文： | 柴玉珍,张建文,杨桂通. 神经脉冲波传播形态的研究[J]. 生物医学工程学杂志, 2008, 25(5) |
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| 作者姓名： | 柴玉珍 张建文 杨桂通 |
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| 作者单位： | 1. 太原理工大学,数学系,太原,030024
2. 太原理工大学,应用力学研究所,太原,030024 |
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| 基金项目： | 国家自然科学基金资助项目(90205018) |
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| 摘 要： | Hodgkin-Huxley模型（H—H模型）是研究神经电生理不可或缺的数学依据。但是，到目前为止，对H—H神经元模型的分析缺少解析研究。本文对经典的H-H模型进行具体分析，得到简化H—H模型以及Nagumo方程，利用齐次平衡方法首次求出简化H-H方程和Nagumo方程的孤波解。研究表明：神经冲动可以孤波的模式传播。
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| 关 键 词： | Hodgkin-Huxley方程 Nagumo方程 孤波解 神经冲动 |
Study on Propagation Form of Nerve Impulse Waves |
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| Chai Yuzhen,Zhang Jianwen,Yang Guitong. Study on Propagation Form of Nerve Impulse Waves[J]. Journal of biomedical engineering, 2008, 25(5) |
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| Authors: | Chai Yuzhen Zhang Jianwen Yang Guitong |
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| Affiliation: | Department of Mathematics;Taiyuan University of Technology;Taiyuan 030024;China;Institute of Applied Mechanics;China |
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| Abstract: | Hodgkin-Huxley model is the indispensable mathematics basis for the study of neuro-electro-physiology. But so far, there is few analytic study about H-H neuron model. In this paper, the features of the classical H-H model are analyzed, and then a simplified H-H model and Nagumo equation are proposed, and their solitary wave solutions are first obtained with the homogeneous balance method. The study shows that nerve impulse may propagate with the mode of solitary wave. |
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| Keywords: | Hodgkin-Huxley equation Nagumo equation Solitary wave solutions Nerve impulse |
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