Morphological Analysis of Collagen Straightness in Colon Mucosa Away from Cancer

Explore a comprehensive lecture on the morphological analysis of collagen straightness in colon mucosa and its implications for colorectal cancer detection. Delve into an innovative approach that extends topological and singularity theory to biological data analysis. Learn how the distribution of collagen segment angles is modeled using polymorphic beta-distribution, and discover the classification of shapes based on critical points. Understand the newly developed shape-aware measure of collagen straightness and its application in detecting changes in tissue samples at varying distances from tumors. Examine the evolution of beta-distribution forms and their correlation with statistical mechanics principles. Gain insights into how the polarization and symmetry changes in these distributions could serve as potential early indicators of colorectal cancer development. This lecture presents a novel perspective on using abstract mathematical constructs to uncover valuable biological insights in cancer research.