Long time behavior of a model for the evolution of morphogens in a growing tissue

G. M. Coclite () and M. M. Coclite ()
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G. M. Coclite: Polytechnic University of Bari
M. M. Coclite: University of Bari

Partial Differential Equations and Applications, 2020, vol. 1, issue 1, 1-39

Abstract: Abstract The long time behavior of a model for the regulation of growth and patterning in developing tissues by diffusing morphogens is analyzed. Such model is expressed in terms of a system of nonlinear PDEs. The key tool in the analysis is the transformation of such system to an equation with singular diffusion.

Keywords: Singular diffusion; Neumann boundary conditions; Long time behavior; Morphogen evolution; 35K55; 35K65; 35Q92; 34B15; 35B40 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s42985-019-0007-8

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