Mathematical modelling of tumour acidity

DOI10.1016/j.jtbi.2008.08.002zbMath1400.92287OpenAlexW2138509761WikidataQ51870728 ScholiaQ51870728MaRDI QIDQ1798103

Kieran Smallbone, Robert A. Gatenby, Philip K. Maini

Publication date: 23 October 2018

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:0438bfa7-0739-4231-a056-c5ef40ace2a7

zbMATH Keywords

mathematical modellingtumour invasionacidityglycolytic phenotype

Mathematics Subject Classification ID

Medical applications (general) (92C50) Cell movement (chemotaxis, etc.) (92C17)

Related Items (12)

Mathematical modelling of the Warburg effect in tumour cords ⋮ A model for acid-mediated tumour growth with nonlinear acid production term ⋮ Modeling the connection between primary and metastatic tumors ⋮ Model for acid-mediated tumour invasion with chemotherapy intervention. II: Spatially heterogeneous populations ⋮ A mathematical model for the glucose-lactate metabolism of in vitro cancer cells ⋮ Computational analysis of the influence of the microenvironment on carcinogenesis ⋮ Model of vascular desmoplastic multispecies tumor growth ⋮ Parameter non-identifiability of the Gyllenberg-Webb ODE model ⋮ The impact of adhesion on cellular invasion processes in cancer and development ⋮ Mathematical modeling of glioma invasion: acid- and vasculature mediated go-or-grow dichotomy and the influence of tissue anisotropy ⋮ Unnamed Item ⋮ Mathematical modelling of cancer invasion: a review

Cites Work

• Quiescence as a mechanism for cyclical hypoxia and acidosis
• On the Lambert \(w\) function
• The role of acidity in solid tumour growth and invasion
• Metabolic changes during carcinogenesis: potential impact on invasiveness
• Models for the Growth of a Solid Tumor by Diffusion

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