2006/05/20 by Mathieu Emily, Olivier François, Emily, Mathieu +2
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Cellular Mechanics and Interactions #FOS: Biological sciences #Point processes and geometric inequalities #Tissues and Organs (q-bio.TO) #q-bio.TO
paper · pdf · doi:10.48550/arxiv.q-bio/0605035
21 pages; 6 Figures; 1 Table
arxiv created 2006/05/20 · openalex publication_date 2006/05/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The differential Adhesion Hypothesis (DAH) is a theory of the organization of cells within a tissue. In this study we introduce a stochastic model supporting the DAH, that can be seen as a continuous version of a discrete model of Graner and Glazier. Our approach is based on the mathematical framework of Gibbsian marked point processes. We provide a Markov chain Monte Carlo algorithm that can reproduce classical biological patterns, and we propose an estimation procedure for a parameter that quantifies the strength of adhesion between cells. This procedure is tested through simulations.