Modelling of cell movement in tissue and application to glioma growth

In this talk I will study mathematical models for the movement of cells in aligned tissue. These cells are typically caner metastasis, which invade along fibre tracks into healthy tissue. A new MRI modality called DTI imaging (diffusion tensor imaging) can be used to measure the fibrous structure inside the brain (e.g. white matter tracks). I will discuss how transport equations and non-isotropic diffusion equations can be used to implement DTI data into the modeling of glioma growth.