Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network

In this work, we present and analyze a mathematical model for tumor growth incorporating ECM erosion, interstitial flow, the effect of vascular flow nutrient transport. The is phase-field or diffused-interface type in which multiple phases cell species other constituents are separated by smooth evolving interfaces. involves mesoscale version Darcy’s law to capture mechanism tissue matrix. Modeling transport processes vasculature supplying healthy cancerous tissue, one-dimensional (1D) equations considered. Since models governing defined together with on three-dimensional (3D) domain, obtain 3D–1D coupled model.