Nonlinear model of electrically stimulated nerve fiber

The study on excitation properties of electrically stimulated nerve fibers has very important significance in many research fields, such as neural science, rehabilitation engineering, etc. An important work in it is to study the electrical field distribution arising from electrical stimulation. In previous works, this study was simplified by ignoring some nonlinear factors and was done using infinite and homogeneous volume conductor model. In this paper, an analytic solution method of electrical field distribution arising from electrical stimulation is proposed, in which some nonlinear factors, such as connective tissue, anisotropy of nerve fibers, etc. were considered. The solutions of two electrode configurations, intrafascicular point electrode and extraneural ring electrode, are given. Based on the solution, a system for simulating electrically stimulated nerve fiber's excitation properties was built combining the membrane dynamic model of mammalian nerve fiber. This work makes it possible to study the electrically stimulated nerve fiber's excitation properties closer to actual cases.