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.
Alon Ascoli, Ahmet Şamil Demirkol, Ioannis Messaris, Vasileios Ntinas, Dimitrios Prousalis, Stefan Slesazeck, Thomas Mikolajick, Fernando Corinto, Michele Bonnin, Marco Gilli, Pier Paolo Civalleri, Ronald Tetzlaff, Leon O Chua
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