TITLE:
Differential Ephaptic Networks
AUTHORS:
Aman Chawla, Salvatore Domenic Morgera
KEYWORDS:
Ephaptic Coupling, Ephaptic Networks, Axons
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.10,
October
10,
2022
ABSTRACT: Ephaptic coupling is the phenomenon where the various axons in an axon tract contribute to the evolution of the voltage variable on each axon. In this paper, we relax the central assumption of electroneutrality used by Reutskiy et al. That assumption is based on charge conservation laws. However, we present data from the literature in support of this relaxation. Thus we are able to justify the presence of negative entries in the geometric W matrix. These negative entries then impact the action potential conduction profiles of the axons in the tract. These “signed” and coupled tracts can be envisioned as bearers of neural information which is akin to that borne by a synapse.