Geometric modelling of tangled structures

Abstract:

This talk will introduce the use of geometric ideas in the characterisation and analysis of tangled biophysical systems. It will introduce the construction of idealised tangled structures using ideas of both symmetry and homotopy of tangled lines on surfaces. These structures provide an extensive set of tangling motifs for the exploration of the behaviour of tangled microstructures in liquids, and I will show preliminary results working towards this goal, including an example of the geometry-driven swelling of human skin cells.

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