Innovative Diffusion Equations of the Nerve Impulses

Introduction: We recently achieved a new definition of the electric charges as electrified energy or electromagnetic waves of electric potential, and a new definition of the nerve impulses as electric charges. Neurologists succeeded in the measurement of the electrical conductivity and capacitance of neural channels. Accordingly, we explain the transfer of the nerve impulses through the neural channels by diffusion like the heat. Then we derive in an innovative Diffusion Equation (D.E) of the flow of the nerve impulses as the D. E. of heat. Method: We firstly derive a D.E. as an innovative mathematical model the flow of electric charges through conductors by the principles of conservation of energy. According to the definition of nerve impulses as electric charges, we find a similar D. E. for the flow of the nerve impulses through the neural channels like D.E. of the electric charges. Conclusions: Innovative definition of the diffusivity of the nerve impulse of the units “m2 /sec” A new proportionality relation between the volumetric concentration of the nerve impulses and its electric potential or the action potential. Innovative mathematical models of the flow of the nerve impulses through the neural channels by D. E. that involve the defined diffusivity, the potential of the nerve impulses, the Laplacian operator, and the time or the entropy of the flowing nerve impulses. Corrections of redundancies in the neurosciences as the definition of the action potential as moving nerve impulses.