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Cancer, Complexity, ComputationModeling Tumour Growth with a Modulated Game of Life Cellular Automaton Under Global Coupling

Cancer, Complexity, Computation: Modeling Tumour Growth with a Modulated Game of Life Cellular... [We propose a coupled map lattice that simulates the Gompertz tumour growth model used in cancer diagnosis and is able to reproduce the long-time parameter correlations that have been found in previous studies. The coupled map lattice is a modulated Game of Life cellular automaton model that includes only two free parameters. Parameter γ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\gamma $$\end{document} governs the strength of a global coupling of the cells due to the confinement pressure. Parameter κ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\kappa $$\end{document} governs the strength of the intercellular coupling which modulates the local dynamic rules of Conway’s Game of Life.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Cancer, Complexity, ComputationModeling Tumour Growth with a Modulated Game of Life Cellular Automaton Under Global Coupling

Part of the Emergence, Complexity and Computation Book Series (volume 46)
Editors: Balaz, Igor; Adamatzky, Andrew
García-Morales, Vladimir; Manzanares, José A.; Cervera, Javier
Cancer, Complexity, Computation — Aug 12, 2022
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Publisher
Springer International Publishing
Copyright
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
ISBN
978-3-031-04378-9
Pages
117 –131
DOI
10.1007/978-3-031-04379-6_5
Publisher site
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Abstract

[We propose a coupled map lattice that simulates the Gompertz tumour growth model used in cancer diagnosis and is able to reproduce the long-time parameter correlations that have been found in previous studies. The coupled map lattice is a modulated Game of Life cellular automaton model that includes only two free parameters. Parameter γ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\gamma $$\end{document} governs the strength of a global coupling of the cells due to the confinement pressure. Parameter κ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\kappa $$\end{document} governs the strength of the intercellular coupling which modulates the local dynamic rules of Conway’s Game of Life.]

Published: Aug 12, 2022

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