A cellular automaton model examining the effects of oxygen, hydrogen ions and lactate on early tumour growth
From MaRDI portal
Publication:464776
DOI10.1007/s00285-013-0719-xzbMath1360.92052OpenAlexW2061285943WikidataQ47686739 ScholiaQ47686739MaRDI QIDQ464776
Steven D. Webb, Craig Murdoch, Maymona Al-Husari
Publication date: 30 October 2014
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-013-0719-x
Reaction-diffusion equations (35K57) Medical applications (general) (92C50) Dynamical aspects of cellular automata (37B15)
Related Items (3)
A computational study and stability analysis of a mathematical model for in vitro inhibition of cancer cell mutation ⋮ A hybrid model of cartilage regeneration capturing the interactions between cellular dynamics and porosity ⋮ Real Linear Automata with a Continuum of Periodic Solutions for Every Period
Cites Work
- Unnamed Item
- A single-cell approach in modeling the dynamics of tumor microregions
- A new method of estimation of the box-counting dimension of multivariate objects using space-filling curves
- Necrotic core in EMT6/Ro tumour spheroids: is it caused by an ATP deficit?
- Regulation of tumour intracellular pH: a mathematical model examining the interplay between H\(^+\) and lactate
- Incorporating energy metabolism into a growth model of multicellular tumor spheroids
- Metabolic changes during carcinogenesis: potential impact on invasiveness
- Modelling the effects of cell-cycle heterogeneity on the response of a solid tumour to chemotherapy: biological insights from a hybrid multiscale cellular automaton model
- A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion
- Nonlinear modelling of cancer: bridging the gap between cells and tumours
This page was built for publication: A cellular automaton model examining the effects of oxygen, hydrogen ions and lactate on early tumour growth