3 years ago

Dynamic gradient scaling as a critical point of growth control.

Frank Julicher, Benjamin Friedrich, Ortrud Wartlick, Marcos Gonzalez-Gaitan, Daniel Aguilar Hidalgo, Steffen Werner

We present a theory of pattern formation in growing domains inspired by biological examples of tissue development. Gradients of signaling molecules regulate growth, while growth changes these graded chemical patterns by dilution and advection. We identify a critical point of this feedback dynamics, which is characterized by spatially homogeneous growth and proportional scaling of patterns with tissue length. We apply this theory to the biological model system of the developing wing of the fruit fly \textit{Drosophila melanogaster} and quantitatively identify signatures of the critical point.

Publisher URL: http://arxiv.org/abs/1711.02021

DOI: arXiv:1711.02021v1

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