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Bundles of stiff filaments are ubiquitous in the living world, found both inthe cytoskeleton and in the extracellular medium. These bundles are typicallyheld together by smaller cross-linking molecules. We demonstrate analytically,numerically and experimentally that such bundles can be kinked, i.e., havelocalized regions of high curvature that are long-lived metastable states. Wepropose three possible mechanisms of kink stabilization: a difference intrapped length of the filament segments between two cross links; a dislocationwhere the endpoint of a filament occurs within the bundle, and the braiding ofthe filaments in the bundle. At a high concentration of cross links, the lasttwo effects lead to the topologically protected kinked states. Finally, weexplore numerically and analytically the transition of the metastable kinkedstate to the stable straight bundle.

Disordered biopolymer filament bundles: Topological defects and kinks