Prof. Anotida Madzvamuse - Theoretical and computational advances for bulk-surface PDEs

  • 3 December 2021
  • 14.00-15.00
  • SCH.1.01 Schofield Building

Presented by Professor Anotida Madzvamuse (University of Sussex)

In this talk, I will present recent theoretical and computational advances in modelling pattern formation and cell motility through the use of bulk-surface partial differential equations. In the first part of the talk, I will present generalisation of Turing diffusion-driven instability conditions for bulk-surface reaction-diffusion systems on stationary volumes. Analytical results will be validated through novel bulk-surface finite element methods with fractional step theta method for the time-discretisation. In the second part of the talk, I will present a bulk-surface model for wave pinning that allows to capture more faithfully the underlying physics of the biological problem. Numerical results using the bulk-surface finite element method on complex geometries reveals surprising, and yet to be confirmed experimentally, wave pinning patterning.

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