A Brief History of Excitable Map-Based Neurons and Neural Networks

TL;DR

This review traces the development of excitable map-based neuron models, comparing early and recent approaches, and discusses their applications, including synaptic schemes and neural network dynamics, highlighting future research directions.

Contribution

It provides a comprehensive historical overview of excitable map-based neuron models and explores recent advances and future research opportunities in the field.

Findings

Comparison of early and recent map-based neuron models

Discussion of synaptic schemes and neural network dynamics

Suggestions for future research directions

Abstract

This review gives a short historical account of the excitable maps approach for modeling neurons and neuronal networks. Some early models, due to Pasemann (1993), Chialvo (1995) and Kinouchi and Tragtenberg (1996), are compared with more recent proposals by Rulkov (2002) and Izhikevich (2003). We also review map-based schemes for electrical and chemical synapses and some recent findings as critical avalanches in map-based neural networks. We conclude with suggestions for further work in this area like more efficient maps, compartmental modeling and close dynamical comparison with conductance-based models.