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: θ=log(2) case / Coclite, Giuseppe Maria; Coclite, M. M.. - In: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. - ISSN 0044-2275. - 68:4(2017), pp. 92-112. [10.1007/s00033-017-0838-0]
On a model for the evolution of morphogens in a growing tissue II: θ=log(2) case
COCLITE, Giuseppe Maria;
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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