On the Propagation of Electric Pulse along an Axon
Considering longitudinal flow in the axon plasma and introducing the substantial derivative, a nonlinear differential equation describing signal propagation along with the axon fiber instead of the cable equation is established. In contrast to the cable equation, which gives solutions that distort the profile of the pulse, a nonlinear equation describes a traveling wave of an unchangeable profile. The speed of the electric pulse wave, w = 320√a m/s, changes proportionally to the square root of the axon fiber radius, a.
