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Mathematical modelling of tumour acidity |
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| Authors: | Smallbone Kieran Gatenby Robert A Maini Philip K |
| Institution: | a Manchester Centre for Integrative Systems Biology, Manchester Interdisciplinary Biocentre, 131 Princess Street, Manchester M1 7DN, UK b Moffitt Cancer Center, 12902 Magnolia Drive, Tampa, FL 33612, USA c Centre for Mathematical Biology, Mathematical Institute, 24-29 St Giles’, Oxford OX1 3LB, UK d Department of Biochemistry, Oxford Centre for Integrative Systems Biology, South Parks Road, Oxford OX1 3QU, UK |
| Abstract: | Acid-mediated tumour invasion is receiving increasing experimental and clinical attention. Previous models proposed to describe this phenomenon failed to capture key properties of the system, such as the existence of the benign steady state, or predicted incorrectly the size of the inter-tissue gap. Here we show that taking proper account of quiescence ameliorates these drawbacks as well as revealing novel behaviour. The simplicity of the model allows us to fully identify the key parameters controlling different aspects of behaviour. |
| Keywords: | Tumour invasion Glycolytic phenotype Acidity Mathematical modelling |
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