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DY: Fachverband Dynamik und Statistische Physik

DY 54: Statistical Physics of Biological Systems I (joint session BP/DY)

DY 54.7: Hauptvortrag

Donnerstag, 15. März 2018, 11:15–11:45, H 2013

Protein Pattern Formation: Rethinking Nonlinear Dynamics — •Erwin Frey — Ludwig-Maximilians-Universität München, München, Germany

Protein pattern formation is essential for spatial organization of many intracellular processes like cell division, flagellum positioning, and chemotaxis. More generally, these systems serve as model systems for self-organization, one of the core principles of life. We present a rigorous theoretical framework able to generalize and unify pattern formation for quantitative mass-conserving reaction-diffusion models. Within this framework, separation of diffusive mass redistribution on the level of conserved species provides a general mathematical procedure to decompose complex reaction-diffusion systems into effectively distinct functional units, and to reveal the general underlying bifurcation scenarios. We apply this general framework to a range of specific intracellular pattern forming protein networks, and show how it facilitates the identification of general self-organisation principles.