Tumor growth modelling by cellular automata

Interian, R., Rodríguez-Ramos, R., Valdés-Ravelo, F., Ramírez-Torres, A. , Ribeiro, C. C. and Conci, A. (2017) Tumor growth modelling by cellular automata. Mathematics and Mechanics of Complex Systems, 5(3-4), pp. 239-259. (doi: 10.2140/memocs.2017.5.239)

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Tumor growth is a complex process that requires mathematical modeling approaches for studying real-life cancer behavior. The use of cellular automata (CA) to represent tumor growth in its avascular stage is explained in this work, and a stochastic CA describing tumor growth is obtained, based on a differential equations system in the range of continuum mechanics. The novelty of this research is the deduction of the neighborhood structure and rules for a probabilistic CA from these differential equations that describe the evolution of the tumor growth. In addition, the influence of the stresses on tumor growth is captured by the CA.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Ramirez Torres, Dr Ariel
Authors: Interian, R., Rodríguez-Ramos, R., Valdés-Ravelo, F., Ramírez-Torres, A., Ribeiro, C. C., and Conci, A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Mathematics and Mechanics of Complex Systems
Publisher:Mathematical Sciences Publishers
ISSN (Online):2325-3444
Published Online:01 October 2017

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