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arXiv · 1601.05241

A particle system approach to cell-cell adhesion models

Mikhail Neklyudov·Dario Trevisan
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Abstract

We investigate micro-to-macroscopic derivations in two models of living cells, in presence to cell-cell adhesive interactions. We rigorously address two PDE-based models, one featuring non-local terms and another purely local, as a a result of a law of large numbers for stochastic particle systems, with moderate interactions in the sense of K. Oelshchlaeger (1985).

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Mikhail Neklyudov, Dario Trevisan. 2016-01-20. A particle system approach to cell-cell adhesion models. https://arxiv.org/abs/1601.05241

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