Mathematical modelling of tumour acidity.
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....
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Elsevier
2008
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| _version_ | 1826262175032803328 |
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| author | Smallbone, K Gatenby, R Maini, P |
| author_facet | Smallbone, K Gatenby, R Maini, P |
| author_sort | Smallbone, K |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T19:32:14Z |
| format | Journal article |
| id | oxford-uuid:1dd7f43c-92b2-460c-b99a-c222a7eb598e |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:32:14Z |
| publishDate | 2008 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:1dd7f43c-92b2-460c-b99a-c222a7eb598e2022-03-26T11:13:10ZMathematical modelling of tumour acidity.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1dd7f43c-92b2-460c-b99a-c222a7eb598eEnglishSymplectic Elements at OxfordElsevier2008Smallbone, KGatenby, RMaini, PAcid-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. |
| spellingShingle | Smallbone, K Gatenby, R Maini, P Mathematical modelling of tumour acidity. |
| title | Mathematical modelling of tumour acidity. |
| title_full | Mathematical modelling of tumour acidity. |
| title_fullStr | Mathematical modelling of tumour acidity. |
| title_full_unstemmed | Mathematical modelling of tumour acidity. |
| title_short | Mathematical modelling of tumour acidity. |
| title_sort | mathematical modelling of tumour acidity |
| work_keys_str_mv | AT smallbonek mathematicalmodellingoftumouracidity AT gatenbyr mathematicalmodellingoftumouracidity AT mainip mathematicalmodellingoftumouracidity |