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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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