Tumour–stromal interactions in acid-mediated invasion: A mathematical model
KAUST Grant NumberKUK-C1-013-04
Permanent link to this recordhttp://hdl.handle.net/10754/600088
MetadataShow full item record
AbstractIt is well established that the tumour microenvironment can both promote and suppress tumour growth and invasion, however, most mathematical models of invasion view the normal tissue as inhibiting tumour progression via immune modulation or spatial constraint. In particular, the production of acid by tumour cells and the subsequent creation of a low extracellular pH environment has been explored in several 'acid-mediated tumour invasion' models where the acidic environment facilitates normal cell death and permits tumour invasion. In this paper, we extend the acid-invasion model developed by Gatenby and Gawlinski (1996) to include both the competitive and cooperative interactions between tumour and normal cells, by incorporating the influence of extracellular matrix and protease production at the tumour-stroma interface. Our model predicts an optimal level of tumour acidity which produces both cell death and matrix degradation. Additionally, very aggressive tumours prevent protease production and matrix degradation by excessive normal cell destruction, leading to an acellular (but matrix filled) gap between the tumour and normal tissue, a feature seen in encapsulated tumours. These results suggest, counterintuitively, that increasing tumour acidity may, in some cases, prevent tumour invasion.
CitationMartin NK, Gaffney EA, Gatenby RA, Maini PK (2010) Tumour–stromal interactions in acid-mediated invasion: A mathematical model. Journal of Theoretical Biology 267: 461–470. Available: http://dx.doi.org/10.1016/j.jtbi.2010.08.028.
SponsorsGrant Support. NKM: This publication was funded by the National Cancer Institute, NIH grant U56CA113004. EAG: This publication is based on work supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). PKM: This work was partially supported by a Royal Society-Wolfson Research Merit Award. RAG and PKM: This work was partially supported by NIH grant 1U54CA143970-01.
JournalJournal of Theoretical Biology
PubMed Central IDPMC3005191
CollectionsPublications Acknowledging KAUST Support
- Leaky vessels as a potential source of stromal acidification in tumours.
- Authors: Martin NK, Gaffney EA, Gatenby RA, Maini PK
- Issue date: 2010 Dec 7
- Mix and Match: Phenotypic Coexistence as a Key Facilitator of Cancer Invasion.
- Authors: Strobl MAR, Krause AL, Damaghi M, Gillies R, Anderson ARA, Maini PK
- Issue date: 2020 Jan 17
- Numerical solutions for a model of tissue invasion and migration of tumour cells.
- Authors: Kolev M, Zubik-Kowal B
- Issue date: 2011
- Multiphase modelling of desmoplastic tumour growth.
- Authors: Psiuk-Maksymowicz K
- Issue date: 2013 Jul 21
- Mathematical models of tumour invasion mediated by transformation-induced alteration of microenvironmental pH.
- Authors: Gatenby RA, Gawlinski ET
- Issue date: 2001