A Mathematical Model Coupling Tumor Growth and Angiogenesis.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 26891163.
- Also identified by DOI 10.1371/journal.pone.0149422 and PMC identifier 4758654.
- Licence recorded as CC BY.
- The licence permits redistribution, so the abstract is shown in full and the full text is available from the publisher.
Abstract
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 quantitative agreement with experiments.
Medical subject headings
- Models, Theoretical
- Neoplasms
- Neovascularization, Pathologic