We analyze a model for the regulation of growth and patterning in developing tissues by diffusing morphogens. We prove the well-posedness of the underlying systems of nonlinear PDEs. The key tool in the analysis is the transformation of the underlying system to an equation with logarithmic diffusion.
On a model for the evolution of morphogens in a growing tissue II: $\theta = \log(2)$ case
COCLITE, Giuseppe Maria;COCLITE, Mario
2017-01-01
Abstract
We analyze a model for the regulation of growth and patterning in developing tissues by diffusing morphogens. We prove the well-posedness of the underlying systems of nonlinear PDEs. The key tool in the analysis is the transformation of the underlying system to an equation with logarithmic diffusion.File in questo prodotto:
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