Studies of a Hybrid and Multiscale Tumor Growth Model via Isogeometric Analysis using PetIGA

Abstract

This work presents experiments considering a hybrid and multiscale model of avascular and vascular tumor growth. The model uses phase-field equations to describe the tumor and vascular growth, and reaction-diffusion equations for the distribution of nutrients and angiogenic factors. We use the high-performance framework PetIGA based on Isogeometric Analysis to implement the model. Our numerical experiments show that the model is able to represent the capillary network formation and its ability to represent specific tumor growth configurations.