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| In this talk, we present a model for the evolution of a monolayer sample of epithelial and mesenchymal cells. The model consists of a system of integro-differential equations and includes the effects of chemotaxis, proliferation and interactions amongst cells. We provide an interesting sample of numerical results, which show the emergence of spots, stripes and honeycomb patterns, depending on parameters and initial data. Simulations also show how epithelial and mesenchymal cells can segregate when there is little competition for nutrients. Furthermore, computational results suggest that the interplay between epithelial cell adhesion and mesenchymal cell spreading can pave the way for the formation of ring-like structures, which resemble the fibrous capsules frequently observed in hepatic tumors. |
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