A Mathematical Model Coupling Tumor Growth and Angiogenesis

• DOI: 10.1371/journal.pone.0149422
• Publication Date: 2016-02-18T21:30:19Z
• Authors: Jiangping Xu; Guillermo Vilanova; Hector Gomez
• Keywords: Vascular Tumors

We present a mathematical model for vascular tumor growth. use phase fields to cellular growth and reaction-diffusion equations the dynamics of angiogenic factors nutrients. The naturally predicts shift from avascular at realistic scales. Our computations indicate that negative regulation Delta-like ligand 4 signaling pathway slows down by producing larger density non-functional capillaries. results show good quantitative agreement with experiments.