Transmission-Line Model for Myelinated Nerve Fiber

Herein, the well-known cable equation for non-myelinated axon model is extended analytically for myelinated axon formulation. The classical cable equation is thereby modified into a linear second order ordinary differential equation with periodic coefficient, known as Hill´s equation. Hill´s equation exhibits periodic solutions, known as Floquet´s modes. The Floquet´s modes are recognized as the nerve fiber activation modes, which are conventionally associated with the nonlinear Hodgkin-Huxley formulation. They can also be incorporated in our linear model