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      Scaling and regeneration of self-organized patterns

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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 re-scaled body plan from tissue fragments of varying sizes. Inspired by these examples, we introduce a generalization of Turing patterns that is both self-organized and self-scaling. We couple a Turing instability to the reaction kinetics of diffusing expander molecules. Our model identifies minimal requirements for robust, self-scaling pattern formation and captures essential features of body plan regeneration in flatworms as observed in experiments.

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          Journal
          1411.2359

          Life sciences

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