Topological defects produce kinks in biopolymer filament bundles

Author:

Slepukhin Valentin M.1ORCID,Grill Maximilian J.2ORCID,Hu Qingda34ORCID,Botvinick Elliot L.345,Wall Wolfgang A.2ORCID,Levine Alex J.167ORCID

Affiliation:

1. Department of Physics and Astronomy, University of California, Los Angeles, CA 90095-1596;

2. Institute for Computational Mechanics, Technical University of Munich, 80333 Munich, Germany;

3. Department of Biomedical Engineering, University of California, Irvine, CA 92697-2730;

4. Center for Complex Biological Systems, University of California, Irvine, CA 92697-2280;

5. Beckman Laser Institute, University of California, Irvine, CA 92697-2730;

6. Department of Chemistry and Biochemistry, University of California, Los Angeles, CA 90095-1596;

7. Department of Biomathematics, University of California, Los Angeles, CA 90095-1596

Abstract

SignificanceA common structural motif for stress-bearing intracellular structures and tissues is a network of filament bundles. When observed in optical microscopy, these bundles often show localized bends—kinks—in their contour even though the stress-free state of their constituent filaments is straight. Using a combination of analytical mechanics and large-scale, finite-element Brownian dynamics simulations, we show that the optically observable kinks are related to topological defects in the interior, nanoscale structure of the bundle. Moreover, the kinks are more compliant to bending than the rest of the bundle. As a result, defected bundle networks must contain a random distribution of soft hinges, which, being the most compliant elastic elements, control the low-energy excitations of these bundle networks.

Funder

NSF | MPS | Division of Materials Research

DOD | USAF | AFMC | Air Force Office of Scientific Research

Publisher

Proceedings of the National Academy of Sciences

Reference47 articles.

1. M. Bathe C. Heussinger M. Claessens A. Bausch E. Frey. Cytoskeletal bundle bending buckling and stretching behavior. arXiv [Preprint] (2006). https://arxiv.org/abs/q-bio/0607040v2 (Accessed 31 March 2021).

2. Statistical Mechanics of Semiflexible Bundles of Wormlike Polymer Chains

3. Principles of Condensed Matter Physics

4. The Topological Classification of Defects

5. D. R. Nelson, Defects and Geometry in Condensed Matter Physics (Cambridge University Press, 2002).

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