advertisement
Abstract #105819 Published in IGR 23-3
A minimal model of elastic instabilities in biological filament bundles
Prior C; Panter J; Kusumaatmaja HJournal of the Royal Society, Interface / the Royal Society 2022; 19: 20220287
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.
Department of Mathematical Sciences, Durham University, Durham DH1 3LE, UK.
Full article