The present monograph is a study of pulse propagation in nerves. The main project of this work is modeling and simulation of the action potential propagation in a neuron and its interaction with the electrodes in the context of neurochip application. In the first part, I work with an adapted model of FitzHugh-Nagumo derived from the Hodgkin-Huxley model. The second part was the result of turning the spotlight-on onto the drawbacks of Hodgkin-Huxley model and to bring forth, an alternative model: soliton model. The purpose is to comprehend the role of membrane state in the pulse propagation.