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BP: Fachverband Biologische Physik
BP 45: Systems biology
BP 45.4: Vortrag
Donnerstag, 19. März 2015, 15:45–16:00, H 1028
Scaling and regeneration of self-organized patterns — •Steffen Werner1, Tom Stückemann2, Manuel Beirán Amigo1, 3, Jochen C. Rink2, Frank Jülicher1, and Benjamin M. Friedrich1 — 1Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — 2Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany — 3Universidad Autónoma de Madrid, Madrid, Spain
Biological patterns and morphologies, generated during development and regeneration, often scale with organism size. Some organisms such as flatworms can even regenerate an appropriately scaled body plan from tissue fragments of varying sizes. Turing proposed a general principle for self-organized chemical pattern formation, yet the resulting Turing patterns usually do not scale with system size, but are governed by characteristic length scales. Here, we introduce a generalization of Turing patterns that is both self-organized and self-scaling. We analytically characterize this novel class of pattern forming systems, for which a Turing instability is coupled to the reaction kinetics of diffusing expander molecules. This expander regulates reaction rates of the Turing system, thereby adjusting its intrinsic length scale proportional to system size. Using dynamical systems theory, we identify minimal requirements for self-scaling. We address robustness of emerging patterns with respect to parameter variations as well as structural robustness of the feedback logic itself. Our model captures essential features of body plan regeneration in flatworm fragments as observed in amputation experiments. For more information: arXiv:1411.2359