A continuous model for cell sorting

Details A continuous model for cell sorting A continuous model for cell sorting

2006-05-20

arxiv.org/abs/q-bio/0605035v1

Biology

Quantitative Biology

Tissues and Organs

21 pages; 6 Figures; 1 Table

Scientific paper

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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