Article 4 · Summer 2026

Topological Dynamics in Complex Biological Systems: A Unified Mathematical Framework Integrating Topology, Statistical Mechanics, and Neural Networks

Richard Murdoch Montgomery

Abstract

This paper presents a unified mathematical framework for understanding topological dynamics in complex biological systems. By integrating concepts from algebraic topology, statistical mechanics, and neural network theory, we develop a comprehensive approach to modeling biological complexity.

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How to cite

Montgomery, R. M. (2026). Topological Dynamics in Complex Biological Systems: A Unified Mathematical Framework Integrating Topology, Statistical Mechanics, and Neural Networks. Scottish Science Society, 1(5). ISSN 2755-6360.