Modelling Aspects of Solid Tumour Growth

Philip Maini (University of Oxford)

Lecture Theatre, Michael Smith Building,

In this talk I will review some work we have done on aspects of solid tumour growth. This will consist of three cases studies modelling:

  1. acid-mediated cell invasion,
  2. movement through heterogeneous media, with application to glioblastoma,
  3. colorectal crypt dynamics.

The models range from coupled systems of nonlinear partial differential equations to discrete cell-based models. In each case, results will be compared with experiment and the mathematical challenges raised highlighted.

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