Scaling and regeneration of self-organized patterns

Autor: Werner, Steffen, Stückemann, Tom, Amigo, Manuel Beirán, Rink, Jochen C., Jülicher, Frank, Friedrich, Benjamin M.
Rok vydání: 2014
Předmět:
Zdroj: Phys. Rev. Lett. 114, 138101, 2015
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevLett.114.138101
Popis: 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.
Comment: 5 pages, 3 color figures
Databáze: arXiv