# Before and beyond the Wilson-Cowan equations

## TL;DR

This paper explores the origins, biological basis, and extensions of the Wilson-Cowan equations, a fundamental model in computational neuroscience, providing historical context and discussing how to go beyond this classical framework.

## Contribution

It offers a detailed historical and theoretical analysis of the Wilson-Cowan equations and proposes directions for extending their applicability in neural modeling.

## Key findings

- Clarifies the biological and theoretical foundations of the Wilson-Cowan equations
- Discusses limitations of the classical equations and potential extensions
- Provides context for the equations' role in neural dynamics modeling

## Abstract

The Wilson-Cowan equations represent a landmark in the history of computational neuroscience. Among the insights Wilson and Cowan offered for neuroscience, they crystallized an approach to modeling neural dynamics and brain function. Although their iconic equations are used in various guises today, the ideas that led to their formulation and the relationship to other approaches are not well known. Here, we give a little context to some of the biological and theoretical concepts that lead to the Wilson-Cowan equations and discuss how to extend beyond them.