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Numerical approximations of a tractable mathematical model for tissue growth

Presented by: 
Vanessa Styles University of Sussex
Date: 
Thursday 5th December 2019 - 13:30 to 14:15
Venue: 
INI Seminar Room 2
Abstract: 
We consider a free boundary problem representing one of the simplest mathematical descriptions of the growth and death of a tumour. The mathematical model takes the form of a closed interface evolving via forced mean curvature flow where the forcing depends on the solution of a PDE that holds in the domain enclosed by the interface. We derive sharp interface and diffuse interface finite element approximations of this model and present some numerical results




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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons