A minimal model of elastic instabilities in biological filament bundles

Prior, Chris, Panter, Jack ORCID: https://orcid.org/0000-0001-8523-7629 and Kusumaatmaja, Halim (2022) A minimal model of elastic instabilities in biological filament bundles. Journal of The Royal Society Interface, 19 (194). ISSN 1742-5689

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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.

Item Type: Article
Additional Information: Publisher Copyright: © 2022 The Authors.
Uncontrolled Keywords: cell abcission,filament bundles,glaucoma,internal buckling,biotechnology,biophysics,bioengineering,biomaterials,biochemistry,biomedical engineering ,/dk/atira/pure/subjectarea/asjc/1300/1305
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Depositing User: LivePure Connector
Date Deposited: 10 Jan 2023 10:32
Last Modified: 11 Jan 2023 01:23
URI: https://ueaeprints.uea.ac.uk/id/eprint/90500
DOI: 10.1098/rsif.2022.0287


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