(CANCELED) Recent advances in mathematical modelling of cell migration.
Anotida Madzvamuse (University of Sussex)
Thursday 1st March, 2018 14:00-15:00 311B Mathematics and Statistics Building
(Lunch with the speaker will be at One A The Square, leaving from the school front foyer at 12.45.)
In this talk, I will review recent advances in modelling cell migration in both 2- and 3-dimensions. Advances in experimental data acquisition has given rise to a humongous amount of experimental data that is amenandable to mathematical modelling. Typical models include coupled bulk-surface reaction-diffusion systems describing the spatio-temporal dynamics of chemical species that drive cell migration. On the other hand, visco-, hyper- and poro-elastic models that describe the cellular architecture and its deformation have been developed or are in development. To couple the biochemical and biomechanical processes, geometric partial differential equations have been recently developed for the evolution of the cell surface membrane that couple the bulk dynamics to the cell surface dynamics as well as dynamics of the deformation of the environment on which the cell is migrating. In many cases, analytical solutions are not accessible and novel numerical methods have been developed to provide approximate numerical solutions of coupled bulk-surface-extracellular partial differential systems.
Cell migration is a multistep process essential for mammalian organisms and is closely linked to processes such as development, immune response, wound healing, tissue differentiation and regeneration, inflammation, tumour invasion and metastasis formation. All these processes require the orchestrated movement of cells through nonhomogeneous environments in particular directions to specific locations. Errors during this process have serious long-term health and societal consequences.