Modelling acidosis and the cell cycle in multicellular tumour spheroids

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 depen...

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Váldodahkkit: Tindall, M, Dyson, L, Smallbone, K, Maini, P
Materiálatiipa: Journal article
Almmustuhtton: Elsevier 2012
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author Tindall, M
Dyson, L
Smallbone, K
Maini, P
author_facet Tindall, M
Dyson, L
Smallbone, K
Maini, P
author_sort Tindall, M
collection OXFORD
description 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.
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spelling oxford-uuid:40a6c95a-ed9a-4c4f-bf35-b7642f102fa82022-03-30T12:01:59ZModelling acidosis and the cell cycle in multicellular tumour spheroidsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:40a6c95a-ed9a-4c4f-bf35-b7642f102fa8Mathematical Institute - ePrintsElsevier2012Tindall, MDyson, LSmallbone, KMaini, PA 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.
spellingShingle Tindall, M
Dyson, L
Smallbone, K
Maini, P
Modelling acidosis and the cell cycle in multicellular tumour spheroids
title Modelling acidosis and the cell cycle in multicellular tumour spheroids
title_full Modelling acidosis and the cell cycle in multicellular tumour spheroids
title_fullStr Modelling acidosis and the cell cycle in multicellular tumour spheroids
title_full_unstemmed Modelling acidosis and the cell cycle in multicellular tumour spheroids
title_short Modelling acidosis and the cell cycle in multicellular tumour spheroids
title_sort modelling acidosis and the cell cycle in multicellular tumour spheroids
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