This paper describes a model in which a nerve and its muscular fiber are treated as a tubular segment whose electrical behaviour is modeled in terms of partial differential equation describing the propagation of electrical impulse inside the cell membrane using FitzHugh Nagumo (FHN) and Hodgkin Huxley (HH) equations. Change in propagation of action potential is studied by varying the parameters in the respective equations. The extracellular medium is characterised by an electrostatic field using COMSOL Multiphysics 4.0a, that acts as an interface for modeling a partial differential equation and static electric field in and around the nerve and its muscle fibers. An artificial neuron and its associated muscles emerge by the integration of mathematics with human biology. The nerve and muscle of interest here are ulnar and its associated muscles. This model will be useful in the diagonsis of denervated diseases. © EuroJournals Publishing, Inc. 2012.