Journal
MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA
Volume 35, Issue 4, Pages 541-577Publisher
OXFORD UNIV PRESS
DOI: 10.1093/imammb/dqx019
Keywords
cancer mutation; two-population mathematical model; cell-cell and cell-matrix adhesion; integrins; aggregation patterns; travelling wave patterns
Categories
Funding
- Engineering and Physical Sciences Research Council (UK) [EP/K033689/1]
- EPSRC [EP/K033689/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [1515766, EP/K033689/1] Funding Source: researchfish
Ask authors/readers for more resources
Cells adhere to each other and to the extracellular matrix (ECM) through protein molecules on the surface of the cells. The breaking and forming of adhesive bonds, a process critical in cancer invasion and metastasis, can be influenced by the mutation of cancer cells. In this paper, we develop a nonlocal mathematical model describing cancer cell invasion and movement as a result of integrin-controlled cell-cell adhesion and cell-matrix adhesion, for two cancer cell populations with different levels of mutation. The partial differential equations for cell dynamics are coupled with ordinary differential equations describing the ECM degradation and the production and decay of integrins. We use this model to investigate the role of cancer mutation on the possibility of cancer clonal competition with alternating dominance, or even competitive exclusion (phenomena observed experimentally). We discuss different possible cell aggregation patterns, as well as travelling wave patterns. In regard to the travelling waves, we investigate the effect of cancer mutation rate on the speed of cancer invasion.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available