Control of repetitive firing in Hodgkin–Huxley nerve fibers using electric fields

The research aims to simulate feedback controlled nerve fiber stimulation where the behavior of the nerve fiber is manipulated by an electrical field generator. The feedback law varies the intensity of the electric field across the membrane of the fiber according to the measured fiber membrane potential. The Hodgkin–Huxley nerve fiber model is used for modeling the membrane potential behavior. The introduced feedback control algorithm controls the bifurcation conditions of the fiber so that the repetitive firing events vanish as a result of stimulation. The feedback control law is based on a washout filter designed by projective control theory.