Old equations for a new system: A possible use of Navier-Stokes equations to model the circulation of spikes in the nervous system

Abstract

In the present work we discuss a possible application of Navier-Stokes-based models to the quantitative description of the circulation of nervous impulses throughout the nervous system. In previous works we have shown that the discharge from Basal Ganglia neurons from patients with Parkinson's disease share mathematical features with the velocity fields of fluids under turbulence regimes. In the present work we try to build the fundaments for a physical analogy between both kinds of systems.