Two-dimensional Hodgkin-Huxley equations for investigating a basis of pulse-processing neural networks

Abstract

Pulse-processing neural networks are expected to perform more delicate and essential signal processing than conventional firing-rate networks. The architecture is based on biological nerve systems much more and, hence, it is very important as a basis to investigate the dynamics of pulse signals in biological neural networks such as interactions of action potential (signal pulses. In this paper, two-dimensional Hodgkin-Huxley equations are proposed for a mesoscopic analysis and synthesis of membrane potential activities such as propagation and interaction. The proposed method will enable us to describe signal pulse dynamics by a universal method.