Category Theory and Higher Dimensional Algebra: potential descriptive tools in neuroscience

TL;DR

This paper explores how category theory and higher dimensional algebra can serve as powerful mathematical frameworks for modeling complex structures and processes in neuroscience.

Contribution

It introduces the concepts of colimits and higher dimensional algebra as potential tools for describing neural structures and their interactions.

Findings

Colimits can model communication between structures.

Higher dimensional algebra can describe processes of processes.

Potential applications in neuroscience modeling.

Abstract

We explain the notion of colimit in category theory as a potential tool for describing structures and their communication, and the notion of higher dimensional algebra as a potential yoga for dealing with processes and processes of processes.