Chalmers Conferences, 9th European Conference on Mathematical and Theoretical Biology

Solving diffusion equations on evolving surfaces defined by biological images
Tom Ranner

Last modified: 2014-06-09


In many different application areas one wants to solve diffusion equations on an evolving curved surface. Modern cell microscopy has progressed significantly in recent years allowing high resolution three-dimensional time dependent images of cell migration to become available. This can be used to define the geometry for diffusion equations on the cell surface which can be solved using an Arbitrary Lagrangian-Eulerian finite element method formulation of the surface finite element method. Finally, we use this methodology to explore ligand-receptor models where bulk and surface terms are considered.