Scaling and regeneration of self-organized patterns.

Steffen Werner,Tom Stückemann,Manuel Beirán Amigo,J. Rink,F. Jülicher,B. Friedrich

Published 2014 in Physical Review Letters

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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