A New Model and Improved Cable Function for representing The Activating Peripheral Nerves by a Transverse Electric Field during Magnetic Stimulation

The classical cable equation can not predict the excitation of peripheral nerves to transverse field induced by pulse magnetic field. In this paper, a new model, based on tow-stage process, is advanced to represent the response of peripheral nerves to transverse field. The model demonstrates that the excitation results from the net inward current drove by the external field. A modified cable equation is presented which contains both the gradient of longitudinal field and the intensity of transverse field. Using this modified cable equation, the excitation threshold of peripheral nerves in transverse field during MS is obtained. This modified cable equation can be used to represent the response of peripheral nerves to arbitrary electric field