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The impact of cell crowding and active cell movement on vascular tumour growth

Abstract:
A multiscale model for vascular tumour growth is presented which includes systems of ordinary differential equations for the cell cycle and regulation of apoptosis in individual cells, coupled to partial differential equations for the spatio- temporal dynamics of nutrient and key signalling chemicals. Furthermore, these subcellular and tissue layers are incorporated into a cellular automaton framework for cancerous and normal tissue with an embedded vascular network. The model is the extension of previous work and includes novel features such as cell movement and contact inhibition. We present a detailed simulation study of the effects of these additions on the invasive behaviour of tumour cells and the tumour's response to chemotherapy. In particular, we find that cell movement alone increases the rate of tumour growth and expansion, but that increasing the tumour cell carrying capacity leads to the formation of less invasive dense hypoxic tumours containing fewer tumour cells. However, when an increased carrying capacity is combined with significant tumour cell movement, the tumour grows and spreads more rapidly, accompanied by large spatio- temporal fluctuations in hypoxia, and hence in the number of quiescent cells. Since, in the model, hypoxic/ quiescent cells produce VEGF which stimulates vascular adaptation, such fluctuations can dramatically affect drug delivery and the degree of success of chemotherapy.
Publication status:
Published

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Publisher copy:
10.3934/nhm.2006.1.515

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Journal:
NETWORKS AND HETEROGENEOUS MEDIA More from this journal
Volume:
1
Issue:
4
Pages:
515-535
Publication date:
2006-12-01
Event title:
Meeting of Networks and Heterogeneous Media
DOI:
ISSN:
1556-1801


Keywords:
Pubs id:
pubs:31361
UUID:
uuid:e9e53702-bbf6-44b4-ad87-3e9970513e84
Local pid:
pubs:31361
Source identifiers:
31361
Deposit date:
2012-12-19
ARK identifier:

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