Resistance in cell membrane and nerve fiber

Resistance in cell membrane and nerve fiber
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DOI:
10.1016/j.neulet.2004.09.055
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发表时间:
2004-12
影响因子:
2.5
通讯作者:
Ji-Huan He
Ji-Huan He
中科院分区:
医学4区
文献类型:
--
作者:
Ji-Huan He

文献摘要

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提出了一个描述细胞膜和神经纤维中电阻的数学模型,这与金属导体的电阻有本质的不同。得到了阻力与截面积之间的异速比例关系。在推导过程中,应用了有着千年历史的何承天插值法。因此,大多数著名的模型,如Hodgkin-Huxley模型、FitzHugh-Nagumo模型,都应该加以修正。
A mathematical model describing the resistance in cell membrane and nerve fiber is proposed, which is naturally different from that for metal conductors. An allometric scaling law between the resistance and the section area is obtained. In the derivation, He Chengtian's interpolation, which has millennia history, is applied. Most famous models, such as the Hodgkin–Huxley model, FitzHugh–Nagumo models, should be, therefore, revised.