Mathematical modelling of tumour acidity
نویسندگان
چکیده
منابع مشابه
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. Here we show that taking proper account of quiescence ameliorates these drawbacks as well as rev...
متن کاملMathematical modelling of tumour acidity: regulation of intracellular pH.
Measurements of extracellular pH (pHe) in vivo have shown that the microenvironment in tumours is more acidic than in normal tissue. However, both human and animal tumour cells have been shown to have an intracellular pH (pHi) on the alkaline side of neutrality (pH 7.1-7.2). This gives rise to a reversed pH gradient between tumours and normal tissue which implies that cells within solid tumours...
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Many tumours undergo periods in which they apparently do not grow but remain at a roughly constant size for extended periods. This is termed tumour dormancy. The mechanisms responsible for dormancy include failure to develop an internal blood supply, individual tumour cells exiting the cell cycle and a balance between the tumour and the immune response to it. Tumour dormancy is of considerable ...
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A system of nonlinear partial differential equations is proposed as a model for the growth of an avascular-tumour spheroid. The model assumes a continuum of cells in two states, living or dead, and, depending on the concentration of a generic nutrient, the live cells may reproduce (expanding the tumour) or die (causing contraction). These volume changes resulting from cell birth and death gener...
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The excess accumulation of water in lung interstitial or alveolar is called pulmonary edema which is caused by factors that upset the normal Starling balance in micro-circulation. Pulmonary edema disturbs the alveolar gas exchanges which are normally regulated by the respiratory system. Mathematical modelling of pulmonary edema may help to predict the lung conditions and the mechanisms involved...
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ژورنال
عنوان ژورنال: Journal of Theoretical Biology
سال: 2008
ISSN: 0022-5193
DOI: 10.1016/j.jtbi.2008.08.002