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Waves of Autocrine Signaling in Patterned Epithelia

C. B. MuratovS. Y. Shvartsman — 2010

Mathematical Modelling of Natural Phenomena

A biophysical model describing long-range cell-to-cell communication by a diffusible signal mediated by autocrine loops in developing epithelia in the presence of a morphogenetic pre-pattern is introduced. Under a number of approximations, the model reduces to a particular kind of bistable reaction-diffusion equation with strong heterogeneity. In the case of the heterogeneity in the form of a long strip a detailed analysis of signal propagation is...

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