Multiscale solid tumour modelling
The focus of this work package will be the multiscale modelling of vascular solid tumour growth, with applications to cancer invasion and metastatic spread. At the centre of the modelling will be a novel development of the hybrid continuum-discrete dynamic, adaptive flow model of tumour-induced angiogenesis.
Project 1: The PDE governing endothelial cell migration will be extended to account for interactions with extracellular matrix fibres, which are known to induce a bias to the random motility.
Project 2: We will incorporate blood flow into the developing capillary network initially using a nonlinear Poiseuille law and later IB/FE (WP5), and the vessels are modelled in such a way as to adapt their radii in response to various stimuli and stresses experienced during blood flow.
Project 3: We will combine the new angiogenesis model with the three-dimensional model of solid tumour growth from WP2 to produce a vascular solid tumour model.
Project 4: We will extend our new angiogenesis modelling by examining re-vascularisation post myocardial infarction in myocardium in conjunction with WP5.