A memristive model of spatio-temporal excitability

TL;DR

This paper presents a unified memristive model that captures both temporal and spatial neuronal excitability, bridging cellular and population scales for a comprehensive understanding of neuronal dynamics.

Contribution

It introduces a novel memristive model that unifies temporal and spatial excitability mechanisms in neurons, extending across different biological scales.

Findings

The model successfully integrates Hodgkin-Huxley and Amari frameworks.

It demonstrates consistent excitability behavior across scales.

Provides a new approach for modeling neuronal dynamics.

Abstract

This paper introduces a model of excitability that unifies the mechanism of an important neuronal property both in time and in space. As a starting point, we revisit both a key model of temporal excitability, proposed by Hodgkin and Huxley, and a key model of spatial excitability, proposed by Amari. We then propose a novel model that captures the temporal and spatial properties of both models. Our aim is to regard neuronal excitability as a property across scales, and to explore the benefits of modeling excitability with one and the same mechanism, whether at the cellular or the population level.