Self-similar dynamics of morphogen gradients.
Self-similar dynamics of morphogen gradients.
复制标题
形态发生素梯度的自相似动力学。
DOI：
10.1103/physreve.84.041916
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Shvartsman,StanislavY
中科院分区：
文献类型：
--
作者：
Muratov,CyrillB;Gordon,PeterV;Shvartsman,StanislavY
Morphogen gradients are concentration fields of molecules acting as spatial regulators of cell differentiation in developing tissues and play a fundamental role in various aspects of embryonic development. We discovered a family of self-similar solutions in a canonical class of nonlinear reaction-diffusion models describing the formation of morphogen gradients. These solutions are realized in the limit of infinitely high production rate at the tissue boundary and are given by the product of the steady state concentration profile and a function of the diffusion similarity variable. We solved the boundary value problem for the similarity profile numerically and analyzed the implications of the discovered self-similarity on the dynamics of morphogenetic patterning.
