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Berlin 2018 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

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

DY 54.8: Vortrag

Donnerstag, 15. März 2018, 11:45–12:00, H 2013

Self-organised length oscillations of cellular protrusionsMareike Bojer1,2, •Isabella Graf1, and Erwin Frey11Arnold-Sommerfeld-Center for Theoretical Physics and Center for NanoScience, Department of Physics, Ludwig-Maximilians-Universität München, Munich, Germany — 2present address: Department of Physics, Technische Universität München, Garching, Germany

We consider a stochastic non-equilibrium model which is inspired by the interplay of directed transport and diffusive motion of molecular motors in growing and shrinking cellular protrusions like filopodia. Based on this model we investigate the effect of finite diffusion in a half-closed geometry and show that it can lead to temporal patterns in the form of oscillating system length. We examine the dynamics of the system length in terms of the growth rate of the protrusion and identify two different limits: For small growth rate, the system length changes very stochastically and our analytic prediction, using a so-called adiabatic assumption, agrees well with the result from numerical simulations. For larger growth rate, however, temporal patterns occur. More concretely, we observe quasi-periodic changes in length in a parameter regime where motor mixing (diffusion) is slow compared with the shrinkage dynamics. We provide an intuitive picture for the origin of this pattern-forming mechanism which relies on the closure of the system at the dynamic end of the protrusion and the resulting particle conservation.

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