Abstract
The problem of an electric signal propagating over a thin layer modeling the cell membrane is considered in the electrostatic approximation. At both sides of the membrane there are bulk conductors with different properties. Various types of boundary conditions are examined. Solutions are obtained for a cylindrical fiber and planar layer and compared with the relationships used in the classical Hodgkin-Huxley theory. It is shown that agreement with the cable theory is obtained only if the system is fully symmetrical and the near-membrane layers are thin.
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