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Active Curved Polymers Form Vortex Patterns on Membranes

Jonas Denk, Lorenz Huber, Emanuel Reithmann, and Erwin Frey
Phys. Rev. Lett. 116, 178301 – Published 25 April 2016
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Abstract

Recent in vitro experiments with FtsZ polymers show self-organization into different dynamic patterns, including structures reminiscent of the bacterial Z ring. We model FtsZ polymers as active particles moving along chiral, circular paths by Brownian dynamics simulations and a Boltzmann approach. Our two conceptually different methods point to a generic phase behavior. At intermediate particle densities, we find self-organization into vortex structures including closed rings. Moreover, we show that the dynamics at the onset of pattern formation is described by a generalized complex Ginzburg-Landau equation.

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  • Received 16 June 2015

DOI:https://doi.org/10.1103/PhysRevLett.116.178301

This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Polymers & Soft Matter

Authors & Affiliations

Jonas Denk, Lorenz Huber, Emanuel Reithmann, and Erwin Frey*

  • Arnold Sommerfeld Center for Theoretical Physics (ASC) and Center for NanoScience (CeNS), Department of Physics, Ludwig-Maximilians-Universität München, Theresienstrasse 37, D-80333 München, Germany

  • *frey@lmu.de

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Issue

Vol. 116, Iss. 17 — 29 April 2016

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