Simple 1D models for neuro-signals transmission along axons

Starting from the Electro-Quasi-Static field equations a new 1D-RC transmission line model of axons is extracted. Based on this bio-physical model mathematical and numerical models are proposed and used to compute the main transmission parameters such as: neural signal attenuation, maximal transmission length (the admissible distance between Ranvier nodes = length of Schwann cells) and the nerve conduction velocity. It is predicted the dependence of this velocity versus the axon diameter, in both myelinated and unmyelinated cases, matching the results of measurements presented in literature.