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A minimal model of elastic instabilities in biological filament bundles

Panter, Jack; Kusumaatmaja, Halim; Prior, Chris

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Authors

Jack Panter



Abstract

We present a model of a system of elastic fibres which exhibits complex, coupled, nonlinear deformations via a connecting elastic spring network. This model can capture physically observed deformations such as global buckling, pinching and internal collapse. We explore the transitions between these deformation modes numerically, using an energy minimization approach, highlighting how supported environments, or stiff outer sheath structures, favour internal structural collapse over global deformation. We then derive a novel analytic buckling criterion for the internal collapse of the system, a mode of structural collapse pertinent in many biological filament bundles such as the optic nerve bundle and microtubule bundles involved in cell abscission.

Citation

Panter, J., Kusumaatmaja, H., & Prior, C. (2022). A minimal model of elastic instabilities in biological filament bundles. Journal of the Royal Society. Interface, 19(194), Article 20220287. https://doi.org/10.1098/rsif.2022.0287

Journal Article Type Article
Acceptance Date Aug 22, 2022
Online Publication Date Sep 21, 2022
Publication Date 2022-09
Deposit Date Oct 22, 2022
Publicly Available Date Oct 24, 2022
Journal Journal of the Royal Society, Interface
Print ISSN 1742-5689
Publisher The Royal Society
Peer Reviewed Peer Reviewed
Volume 19
Issue 194
Article Number 20220287
DOI https://doi.org/10.1098/rsif.2022.0287
Public URL https://durham-repository.worktribe.com/output/1188228

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