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 revealing novel behaviour. The simplicity of the model allows us to fully identify the key parameters controlling different aspects of behaviour.
Smallbone
Kieran
K
Manchester Centre for Integrative Systems Biology, Manchester Interdisciplinary Biocentre, 131 Princess Street, Manchester M17DN, UK. kieran.smallbone@manchester.ac.uk
Gatenby
Robert A
RA
Maini
Philip K
PK
D000818:Animals; D016923:Cell Death; D003198:Computer Simulation; D018450:Disease Progression; D006801:Humans; D006863:Hydrogen-Ion Concentration; D008954:Models, Biological; D015233:Models, Statistical; D009336:Necrosis; D009361:Neoplasm Invasiveness; D009369:Neoplasms / Q000098:blood supply / Q000378:metabolism* / Q000473:pathology; D009389:Neovascularization, Pathologic