University of Birmingham > Talks@bham > Applied Mathematics Seminar Series > Multiscale analyses of tissue growth and front propagation

Multiscale analyses of tissue growth and front propagation

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  • UserReuben O'Dea (Nottingham)
  • ClockThursday 04 December 2014, 16:00-17:00
  • HouseMuirhead 122.

If you have a question about this talk, please contact Alexandra Tzella.

The derivation of continuum models which represent underlying discrete or microscale phenomena is emerging as an important part of mathematical biology: integration between subcellular, cellular and tissue-level behaviour is key to understanding tissue growth and mechanics. I will consider the application of a multiscale method to two problems on this theme.

Firstly a new macroscale description of nutrient-limited tissue growth, which is formulated as a microscale moving-boundary problem within a porous medium, is introduced. A multiscale homogenisation method is employed to enable explicit accommodation of the influence of the underlying microscale tissue structure, and its evolution, on the macroscale dynamics.

A challenging consideration in continuum models of tissue is the accommodation of (spatially-discrete) cell-signalling events, a feature of which being the progression of moving fronts of cell-signalling activity across a lattice. New (continuum) analyses of monotone waves in a discrete diffusion equation are presented, and extended to modulated fronts exhibited in cell signalling models.

This talk is part of the Applied Mathematics Seminar Series series.

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