A Mathematical Model Coupling Tumor Growth and Angiogenesis.
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ABSTRACT:
SUBMITTER: Xu J
PROVIDER: S-EPMC4758654 | biostudies-literature | 2016
REPOSITORIES: biostudies-literature
Publications
A Mathematical Model Coupling Tumor Growth and Angiogenesis.
Xu Jiangping J Vilanova Guillermo G Gomez Hector H
PloS one 20160218 2
We present a mathematical model for vascular tumor growth. We use phase fields to model cellular growth and reaction-diffusion equations for the dynamics of angiogenic factors and nutrients. The model naturally predicts the shift from avascular to vascular growth at realistic scales. Our computations indicate that the negative regulation of the Delta-like ligand 4 signaling pathway slows down tumor growth by producing a larger density of non-functional capillaries. Our results show good quantita ...[more]
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