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: $\theta < \log(2)$

#### 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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