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arXiv · 1711.02021

Critical Point in Self-Organized Tissue Growth

Daniel Aguilar Hidalgo·Steffen Werner·Ortrud Wartlick·Marcos González-Gaitán·Benjamin Friedrich·Frank Jülicher
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Abstract

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.

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Daniel Aguilar Hidalgo, Steffen Werner, Ortrud Wartlick, Marcos González-Gaitán, Benjamin Friedrich, Frank Jülicher. 2018-04-25. Critical Point in Self-Organized Tissue Growth. https://doi.org/10.1103/physrevlett.120.198102

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