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

被引：5
作者：
Coclite, G. M. [1 ]
Coclite, M. M. [2 ]
机构：
[1] Polytech Univ Bari, Dept Mech Math & Management, Via E Orabona 4, I-70125 Bari, Italy
[2] Univ Bari, Dept Math, Via E Orabona 4, I-70125 Bari, Italy
来源：
PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2020年 / 1卷 / 01期
关键词：
Singular diffusion; Neumann boundary conditions; Long time behavior; Morphogen evolution; SIZE; PROLIFERATION; PATTERN; GROWTH;
D O I：
10.1007/s42985-019-0007-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：39
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