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BP: Fachverband Biologische Physik
BP 39: Cytoskeletal Filaments II
BP 39.6: Vortrag
Freitag, 20. März 2020, 11:30–11:45, SCH A251
Active Model C: mean-field theory of cytoskeletal pattern formation — •Ivan Maryshev1, Alexander Morozov2, Davide Marenduzzo2, and Erwin Frey1 — 1Ludwig-Maximilians-Universität München, Germany — 2The University of Edinburgh, Edinburgh, EH9 3FD, UK.
The self-organization of mixtures of biological polymers and molecular motors provides a fascinating manifestation of active matter. Microtubules re-oriented by the molecular motors can form far-from-equilibrium cell-scale structures. The link between individual microscopic interactions of filaments and their macroscopic dynamics is poorly understood. Here we formulate a theoretical approach based on a Boltzmann-like kinetic equation, to describe pattern formation in two-dimensional mixtures of microtubules and molecular motors. We consider motors that can push apart antiparallel microtubules and cluster parallel ones. Using our kinetic approach, we derive the equations governing the collective behavior of microtubules by rigorously coarse-graining microscopic motor-induced interactions. Through numerical simulations, we show that this model generically creates either stable stripes with the antiparallel arrangement of filaments inside them or an ever-evolving pattern formed by self-extend dynamic bands. Finally, we consider our model with phenomenological coefficients and besides the chaotic bands, also observe the formation of patterns with topological defects, including foams and asters. By the analogy with passive Model C in Hohenberg-Halperin classification, we call our model Active Model C.