Velocity profile of Alpha ($\alpha$) type and Gamma ($\gamma$) type Motor neuron and type III and type IV Sensory Neuron

The cable equation or the Telegraphers equation describes the propagation of action potential along the nerve fiber. In this work, the cable equation is extended into modeling and simulation of action potential in a neuron and its corresponding velocity profile. The necessary velocity profile along the length of the fiber for different diameters for α type, Aα Erlanger-gasser classified motor neuron and γ type, Aγ Erlanger-gasser classified motor neuron; and type III, Aδ Erlanger-gasser classified sensory neuron and type IV, C Erlanger-gasser classified sensory neuron is analyzed. The results are compared with the standard biological velocity values of the same neuron type at different diameters for a human dendritic section. Such a model tend to give more accurate results and with less computational complexity.