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arXiv · 1411.2359

Scaling and regeneration of self-organized patterns

Steffen Werner·Tom Stückemann·Manuel Beirán Amigo·Jochen C. Rink·Frank Jülicher·Benjamin M. Friedrich
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Abstract

Biological patterns generated during development and regeneration often scale with organism size. Some organisms, e.g., flatworms, can regenerate a rescaled body plan from tissue fragments of varying sizes. Inspired by these examples, we introduce a generalization of Turing patterns that is self-organized and self-scaling. A feedback loop involving diffusing expander molecules regulates the reaction rates of a Turing system, thereby adjusting pattern length scales proportional to system size. Our model captures essential features of body plan regeneration in flatworms as observed in experiments.

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Steffen Werner, Tom Stückemann, Manuel Beirán Amigo, Jochen C. Rink, Frank Jülicher, Benjamin M. Friedrich. 2015-04-13. Scaling and regeneration of self-organized patterns. https://doi.org/10.1103/physrevlett.114.138101

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