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Patterns in Polarisable Elastic Active Layers

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Coupling Geometric PDEs with Physics for Cell Morphology, Motility and Pattern Formation

I explore a class of macroscopic continuous models with feedback interactions inducing spontaneous vector or nematic polarisation and mechanical deformation of elastic active media. Linear stabilityanalysis predicts, depending on the sign of feedback interaction coefficients, either monotonic or oscillatory instability of the homogeneous isotropic state. In the former case, the emerging pattern undergoes a slow coarsening process but permanent polarity may emerge when the system is topologically constrained. Oscillatory instabilities arise in active systems on a finite wavelength, and lead to complex wave patterns. Transition to a deformed polarised state may be frustrated in constrained geometry but leads to boundary undulations in free-boundary settings.

This talk is part of the Isaac Newton Institute Seminar Series series.

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