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A continuous model for cell sorting

Mathieu Emily·Olivier Francois
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Abstract

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.

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Mathieu Emily, Olivier Francois. 2006-05-20. A continuous model for cell sorting. https://arxiv.org/abs/q-bio/0605035

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