Scaling and regeneration of self-organized patterns
  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. 
Steffen Werner, Tom St\"uckemann, Manuel Beir\'an Amigo, Jochen C.   Rink, Frank J\"ulicher, Benjamin M. Friedrich
q-bio.TO