Resistance in cell membrane and nerve fiber.
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.
He
Ji-Huan
JH
College of Science, Donghua University, Yan'an Xilu Road, Shanghai 200051, China. jhhe@dhu.edu.cn
D000200:Action Potentials / Q000502:physiology; D002462:Cell Membrane / Q000502:physiology*; D017097:Electric Impedance; D008959:Models, Neurological; D008962:Models, Theoretical; D009412:Nerve Fibers / Q000502:physiology*