Mathematical modelling of the Warburg effect in tumour cords
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Publication:1624237
DOI10.1016/j.jtbi.2009.01.034zbMath1402.92145OpenAlexW2133957856WikidataQ39881493 ScholiaQ39881493MaRDI QIDQ1624237
Sergey Astanin, Luigi Preziosi
Publication date: 16 November 2018
Published in: Journal of Theoretical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jtbi.2009.01.034
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Cell biology (92C37)
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Cites Work
- Unnamed Item
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- Regression and regrowth of tumour cords following single-dose anticancer treatment
- A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
- Cell kinetics in tumour cords studied by a model with variable cell cycle length
- A hybrid cellular automaton model of clonal evolution in cancer: the emergence of the glycolytic phenotype
- Mathematical modelling of tumour acidity
- Incorporating energy metabolism into a growth model of multicellular tumor spheroids
- Metabolic changes during carcinogenesis: potential impact on invasiveness
- An improved geometry-aware curvature discretization for level set methods: Application to tumor growth
- ATP Production and Necrosis Formation in a Tumour Spheroid Model
- Mathematical model of tumour cord growth along the source of nutrient
- Modelling the interactions between tumour cells and a blood vessel in a microenvironment within a vascular tumour
- ON THE CLOSURE OF MASS BALANCE MODELS FOR TUMOR GROWTH
- A MATHEMATICAL MODEL FOR TUMOR CORDS INCORPORATING THE FLOW OF INTERSTITIAL FLUID
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