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Mathematical modelling of cancer invasion: implications of cell adhesion variability for tumour infiltrative growth patterns

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Mathematical modelling of cancer invasion : implications of cell adhesion variability for tumour infiltrative growth patterns. / Domschke, Pia; Trucu, Dumitru; Gerisch, Alf; Chaplain, Mark A. J.

In: Journal of Theoretical Biology, Vol. 361, 21.11.2014, p. 41-60.

Research output: Contribution to journalArticlepeer-review

Harvard

Domschke, P, Trucu, D, Gerisch, A & Chaplain, MAJ 2014, 'Mathematical modelling of cancer invasion: implications of cell adhesion variability for tumour infiltrative growth patterns', Journal of Theoretical Biology, vol. 361, pp. 41-60. https://doi.org/10.1016/j.jtbi.2014.07.010

APA

Domschke, P., Trucu, D., Gerisch, A., & Chaplain, M. A. J. (2014). Mathematical modelling of cancer invasion: implications of cell adhesion variability for tumour infiltrative growth patterns. Journal of Theoretical Biology, 361, 41-60. https://doi.org/10.1016/j.jtbi.2014.07.010

Vancouver

Domschke P, Trucu D, Gerisch A, Chaplain MAJ. Mathematical modelling of cancer invasion: implications of cell adhesion variability for tumour infiltrative growth patterns. Journal of Theoretical Biology. 2014 Nov 21;361:41-60. https://doi.org/10.1016/j.jtbi.2014.07.010

Author

Domschke, Pia ; Trucu, Dumitru ; Gerisch, Alf ; Chaplain, Mark A. J. / Mathematical modelling of cancer invasion : implications of cell adhesion variability for tumour infiltrative growth patterns. In: Journal of Theoretical Biology. 2014 ; Vol. 361. pp. 41-60.

Bibtex - Download

@article{6ace76201e7a4c509a29a9423c6e3456,
title = "Mathematical modelling of cancer invasion: implications of cell adhesion variability for tumour infiltrative growth patterns",
abstract = "Cancer invasion, recognised as one of the hallmarks of cancer, is a complex, multiscale phenomenon involving many inter-related genetic, biochemical, cellular and tissue processes at different spatial and temporal scales. Central to invasion is the ability of cancer cells to alter and degrade an extracellular matrix. Combined with abnormal excessive proliferation and migration which is enabled and enhanced by altered cell-cell and cell-matrix adhesion, the cancerous mass can invade the neighbouring tissue. Along with tumour-induced angiogenesis, invasion is a key component of metastatic spread, ultimately leading to the formation of secondary tumours in other parts of the host body. In this paper we explore the spatio-temporal dynamics of a model of cancer invasion, where cell-cell and cell-matrix adhesion is accounted for through non-local interaction terms in a system of partial integro-differential equations. The change of adhesion properties during cancer growth and development is investigated here through time-dependent adhesion characteristics within the cell population as well as those between the cells and the components of the extracellular matrix. Our computational simulation results demonstrate a range of heterogeneous dynamics which are qualitatively similar to the invasive growth patterns observed in a number of different types of cancer, such as tumour infiltrative growth patterns (INF).",
keywords = "Solid tumour spread, Non-local model, Heterogeneity",
author = "Pia Domschke and Dumitru Trucu and Alf Gerisch and Chaplain, {Mark A. J.}",
year = "2014",
month = nov,
day = "21",
doi = "10.1016/j.jtbi.2014.07.010",
language = "English",
volume = "361",
pages = "41--60",
journal = "Journal of Theoretical Biology",
issn = "0022-5193",
publisher = "ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Mathematical modelling of cancer invasion

T2 - implications of cell adhesion variability for tumour infiltrative growth patterns

AU - Domschke, Pia

AU - Trucu, Dumitru

AU - Gerisch, Alf

AU - Chaplain, Mark A. J.

PY - 2014/11/21

Y1 - 2014/11/21

N2 - Cancer invasion, recognised as one of the hallmarks of cancer, is a complex, multiscale phenomenon involving many inter-related genetic, biochemical, cellular and tissue processes at different spatial and temporal scales. Central to invasion is the ability of cancer cells to alter and degrade an extracellular matrix. Combined with abnormal excessive proliferation and migration which is enabled and enhanced by altered cell-cell and cell-matrix adhesion, the cancerous mass can invade the neighbouring tissue. Along with tumour-induced angiogenesis, invasion is a key component of metastatic spread, ultimately leading to the formation of secondary tumours in other parts of the host body. In this paper we explore the spatio-temporal dynamics of a model of cancer invasion, where cell-cell and cell-matrix adhesion is accounted for through non-local interaction terms in a system of partial integro-differential equations. The change of adhesion properties during cancer growth and development is investigated here through time-dependent adhesion characteristics within the cell population as well as those between the cells and the components of the extracellular matrix. Our computational simulation results demonstrate a range of heterogeneous dynamics which are qualitatively similar to the invasive growth patterns observed in a number of different types of cancer, such as tumour infiltrative growth patterns (INF).

AB - Cancer invasion, recognised as one of the hallmarks of cancer, is a complex, multiscale phenomenon involving many inter-related genetic, biochemical, cellular and tissue processes at different spatial and temporal scales. Central to invasion is the ability of cancer cells to alter and degrade an extracellular matrix. Combined with abnormal excessive proliferation and migration which is enabled and enhanced by altered cell-cell and cell-matrix adhesion, the cancerous mass can invade the neighbouring tissue. Along with tumour-induced angiogenesis, invasion is a key component of metastatic spread, ultimately leading to the formation of secondary tumours in other parts of the host body. In this paper we explore the spatio-temporal dynamics of a model of cancer invasion, where cell-cell and cell-matrix adhesion is accounted for through non-local interaction terms in a system of partial integro-differential equations. The change of adhesion properties during cancer growth and development is investigated here through time-dependent adhesion characteristics within the cell population as well as those between the cells and the components of the extracellular matrix. Our computational simulation results demonstrate a range of heterogeneous dynamics which are qualitatively similar to the invasive growth patterns observed in a number of different types of cancer, such as tumour infiltrative growth patterns (INF).

KW - Solid tumour spread

KW - Non-local model

KW - Heterogeneity

UR - http://www.sciencedirect.com/science/journal/00225193

U2 - 10.1016/j.jtbi.2014.07.010

DO - 10.1016/j.jtbi.2014.07.010

M3 - Article

VL - 361

SP - 41

EP - 60

JO - Journal of Theoretical Biology

JF - Journal of Theoretical Biology

SN - 0022-5193

ER -

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