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DY: Fachverband Dynamik und Statistische Physik

DY 46: Stochastic Dynamics of Growth Processes in Biological and Social Systems (joint session SOE/BP)

DY 46.7: Vortrag

Freitag, 4. April 2014, 11:30–11:45, GÖR 226

Multi-Species Range Expansions: Frequency-Dependent Selection at Rough Fronts — •Jan-Timm Kuhr and Holger Stark — Institut für Theoretische Physik, Technische Universtität Berlin

Growing microbial colonies have recently been used as model systems for macroscopic colonization events, known as range expansions, since growth in the Petri dish is comparably fast and controllable.

Employing the statistical Eden model, already single-strain colonies feature remarkable properties like self-affine fronts, which have also been found in experiments. Multi-species settings promise a plethora of possible phenomena, e.g. irreversible mutations resulting in a non-equilibrium phase transition to an absorbing state [1].

Whereas a simple selective advantage entails quasi-deterministic fixation of the faster growing strain, local frequency-dependent selection gives rise to non-trivial outcomes. We focus on representations of social dilemmas, where local group selection brings about extremely rough fronts, the effects of which are neglected in other approaches.

[1] J.-T. Kuhr, M. Leisner, and E. Frey, Range expansion with mutation and selection: dynamical phase transition in a two-species Eden model, New J. Phys. 13, 113013 (2011).