A Categorical Framework for Modeling Biological Systems: Phylogenetics as a Quotient Category
Abstract
This study aims to develop a novel mathematical framework for understanding evolutionary relationships by applying Category Theory to biological systems. The objective was to formalize phylogenetic classification as a quotient category, providing a unified structural language for genetics, development, ecology, and evolution. This categorical framework provided a rigorous mathematical foundation for theoretical biology, unified disparate subdisciplines, and offered new tools for predicting evolutionary outcomes, classifying organisms, and understanding developmental constraints. The approach suggested that phylogenetic trees were universal quotients emerging from more complex evolutionary networks
Fields of Study & Subjects
Morphological variations and asymmetry
Genome Rearrangement Algorithms
Philosophy and History of Science
Publication details
- Journal / source
- Organisms Journal of Biosciences
- Publisher
- Raden Intan State Islamic University of Lampung
- Volume
- 6
- Issue
- 1
- Pages
- 9–22
- Publication date
- 31 May 2026