Mathematical Modeling of Protein Structures: A Cohomology-Based Approach to the Flagellar Motor

• URL: http://arxiv.org/abs/2504.16941v1
• Date: Tue, 08 Apr 2025 19:21:44 GMT
• Title: Mathematical Modeling of Protein Structures: A Cohomology-Based Approach to the Flagellar Motor
• Authors: Zakaria Lamine, Abdelatif Hafid, Mohamed Rahouti,
• Abstract summary: This study presents a novel mathematical model derived from cohomology, generated by boundary classes of curves with fixed dual graphs.<n>The proposed model is utilized for protein structure analysis and prediction, with a specific application to the Flagellar Motor structure.
• Score: 2.389598109913754
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: This study presents a novel mathematical model derived from cohomology, leveraging the KEEL-proven theorem that establishes cohomology as tautological, generated by boundary classes of curves with fixed dual graphs. Simplicial complexes are constructed using skew-commutative graded algebra, and the structure theorem is applied to connect distinct homologies, enabling precise interpretations of the resulting geometric forms. The proposed model is utilized for protein structure analysis and prediction, with a specific application to the Flagellar Motor structure. This approach offers new insights into the geometric and algebraic foundations of biological macromolecular modeling, highlighting its potential for advancement in structural biology.

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