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Modelling acidosis and the cell cycle in multicellular tumour spheroids

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Tindall, Marcus J., Dyson, Louise, Smallbone, Kieran and Maini, Philip K. (2012) Modelling acidosis and the cell cycle in multicellular tumour spheroids. Journal of Theoretical Biology, 298 . pp. 107-115. doi:10.1016/j.jtbi.2011.11.009 ISSN 0022-5193.

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Official URL: http://dx.doi.org/10.1016/j.jtbi.2011.11.009

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Abstract

A partial differential equation model is developed to understand the effect that nutrient and acidosis have on the distribution of proliferating and quiescent cells and dead cell material (necrotic and apoptotic) within a multicellular tumour spheroid. The rates of cell quiescence and necrosis depend upon the local nutrient and acid concentrations and quiescent cells are assumed to consume less nutrient and produce less acid than proliferating cells. Analysis of the differences in nutrient consumption and acid production by quiescent and proliferating cells shows low nutrient levels do not necessarily lead to increased acid concentration via anaerobic metabolism. Rather, it is the balance between proliferating and quiescent cells within the tumour which is important; decreased nutrient levels lead to more quiescent cells, which produce less acid than proliferating cells. We examine this effect via a sensitivity analysis which also includes a quantification of the effect that nutrient and acid concentrations have on the rates of cell quiescence and necrosis.

Item Type: Journal Article
Divisions: Faculty of Science, Engineering and Medicine > Science > Life Sciences (2010- )
Journal or Publication Title: Journal of Theoretical Biology
Publisher: Elsevier
ISSN: 0022-5193
Official Date: 2012
Dates:
DateEvent
2012Published
Volume: 298
Page Range: pp. 107-115
DOI: 10.1016/j.jtbi.2011.11.009
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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