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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 singular logarithmic diffusion.
Zeitschrift für angewandte Mathematik und Physik – Springer Journals
Published: Aug 1, 2017
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