Call for Paper - May 2015 Edition
IJCA solicits original research papers for the May 2015 Edition. Last date of manuscript submission is April 20, 2015. Read More
International Journal of Computer Applications
© 2014 by IJCA Journal
Volume 108 - Number 14
Year of Publication: 2014
10.5120/18977-0392 |
S Zouhri, S Saadi and M Rachik. Article: Simulating the Tumor Growth with Cellular Automata Models. International Journal of Computer Applications 108(14):5-11, December 2014. Full text available. BibTeX
@article{key:article, author = {S. Zouhri and S. Saadi and M. Rachik}, title = {Article: Simulating the Tumor Growth with Cellular Automata Models}, journal = {International Journal of Computer Applications}, year = {2014}, volume = {108}, number = {14}, pages = {5-11}, month = {December}, note = {Full text available} }
Abstract
In this paper, two types of cellular automata are studied in order to describe the 2-dimensional free growth of an avascular tumor under the effect of a limited nutrient source. On one hand a deterministic cellular automata approach is used. On the other hand a stochastic one is presented. An existing reaction-diffusion model including cell proliferation, motility and death is used. Finally, a numerical simulations that show the difference between these approaches are discussed.
References
- J. A. Adam and N. Bellomo. A survey of models for tumor-immune system dynamics. Birkhauser, 1997.
- T. Alarcon, H. M. Byrne, and P. K. Maini. A cellular automaton model for tumour growth in inhomogeneous environment. J. Theor. Biol. , 225, 257-274, 2003.
- D. G. Mallet and L. G. de Pillis A cellular automata model of tumor-immune system interactions
- S. C. Ferreira Junior, M. L. Martins and M. J. Vilela. A reaction-diffusion model for the growth of avascular tumor
- V. A. Kuznetsov. Basic models of tumor-immune system interactions - Identification, analysis and predictions. In J. A. Adam and N. Bellomo (eds), A survey of models for tumor-immune system dynamics. Birkhauser, 1997.
- L. G. de Pillis, W. Gu, A. E. Radunskaya (2005). Mixed Immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations
- L. G. de Pillis, W. Gu, A. E. Radunskaya (2005). Mixed Immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations
- H. M. Byrne. Using mathematics to study solid tumor growth. In Proceedings of the 9th General Meetings of European Women in Mathematics, 81-107.
- W. H. Clark, J. Cancer 64, 631 (1991)
- S. EL Yacoubi. A mathematical method for control problems on cellular automata models.
- M. Turhan Coban. Numerical analysis with java examples.
- Helen M. Byrne. Mathematical Biomedicine and modeling avascular tumor growth.
- M. A. J. Chaplain. Avascular Growth, Angiogenesis and vascular growth in solid Tumours: the mathematical modelling of the stages of tumour development.
- J. Folkman and M. Hochberg. Self-regulation of growth in three dimensions.