A model for the regulation of growth and patterning in developing tissues by diffusing morphogens is analyzed. The well-posedness of the underlying systems of nonlinear PDEs is proved. The transformation of the underlying system to an equation with very fast diffusion is the key tool in the analysis.

On a model for the evolution of morphogens in a growing tissue III: $\theta < \log(2)$

COCLITE, Giuseppe Maria;COCLITE, Mario
2017

Abstract

A model for the regulation of growth and patterning in developing tissues by diffusing morphogens is analyzed. The well-posedness of the underlying systems of nonlinear PDEs is proved. The transformation of the underlying system to an equation with very fast diffusion is the key tool in the analysis.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/166566
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