Chapter 6

Neuronal Networks: A Discrete Model

Winfried Just*, Sungwoo Ahn and David Terman, *Department of Mathematics, Ohio University, Athens, OH 45701, USA, Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, IN 46202, USA, Department of Mathematics, Ohio State University, Columbus, OH 43210, USA, mathjust@gmail.com

6.1 Introduction and Overview

What do brains, ant colonies, and gene regulatory networks have in common? They are networks of individual agents (neurons, ants, genes) that interact according to certain rules. Neurons interact through electric and chemical signals at synapses, ants interact by means of olfactory and tactile signals, and products of certain genes regulate the expression of ...

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