We apologize for a recent technical issue with our email system, which temporarily affected account activations. Accounts have now been activated. Authors may proceed with paper submissions. PhDFocusTM
CFP last date
20 December 2024
Call for Paper
January Edition
IJCA solicits high quality original research papers for the upcoming January edition of the journal. The last date of research paper submission is 20 December 2024

Submit your paper
Know more
The week's pick
Responsive image
Improved Shuffled Frog Leaping Algorithm with Self-Adaptive Shuffling for Fuzzy Logic PD+G Controller Optimization in Robotic Manipulators

Duc Hoang Nguyen
Random Articles
Reseach Article

Simulating the Tumor Growth with Cellular Automata Models

by S. Zouhri, S. Saadi, M. Rachik
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 108 - Number 14
Year of Publication: 2014
Authors: S. Zouhri, S. Saadi, M. Rachik
10.5120/18977-0392

S. Zouhri, S. Saadi, M. Rachik . Simulating the Tumor Growth with Cellular Automata Models. International Journal of Computer Applications. 108, 14 ( December 2014), 5-11. DOI=10.5120/18977-0392

@article{ 10.5120/18977-0392,
author = { S. Zouhri, S. Saadi, M. Rachik },
title = { Simulating the Tumor Growth with Cellular Automata Models },
journal = { International Journal of Computer Applications },
issue_date = { December 2014 },
volume = { 108 },
number = { 14 },
month = { December },
year = { 2014 },
issn = { 0975-8887 },
pages = { 5-11 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume108/number14/18977-0392/ },
doi = { 10.5120/18977-0392 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:42:57.273488+05:30
%A S. Zouhri
%A S. Saadi
%A M. Rachik
%T Simulating the Tumor Growth with Cellular Automata Models
%J International Journal of Computer Applications
%@ 0975-8887
%V 108
%N 14
%P 5-11
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
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
  1. J. A. Adam and N. Bellomo. A survey of models for tumor-immune system dynamics. Birkhauser, 1997.
  2. 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.
  3. D. G. Mallet and L. G. de Pillis A cellular automata model of tumor-immune system interactions
  4. S. C. Ferreira Junior, M. L. Martins and M. J. Vilela. A reaction-diffusion model for the growth of avascular tumor
  5. 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.
  6. L. G. de Pillis, W. Gu, A. E. Radunskaya (2005). Mixed Immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations
  7. L. G. de Pillis, W. Gu, A. E. Radunskaya (2005). Mixed Immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations
  8. H. M. Byrne. Using mathematics to study solid tumor growth. In Proceedings of the 9th General Meetings of European Women in Mathematics, 81-107.
  9. W. H. Clark, J. Cancer 64, 631 (1991)
  10. S. EL Yacoubi. A mathematical method for control problems on cellular automata models.
  11. M. Turhan Coban. Numerical analysis with java examples.
  12. Helen M. Byrne. Mathematical Biomedicine and modeling avascular tumor growth.
  13. M. A. J. Chaplain. Avascular Growth, Angiogenesis and vascular growth in solid Tumours: the mathematical modelling of the stages of tumour development.
  14. J. Folkman and M. Hochberg. Self-regulation of growth in three dimensions.
Index Terms

Computer Science
Information Sciences

Keywords

Cellular automata (CA) avascular tumor immune reaction-diffusion model stochastic CA deterministic CA

Powered by PhDFocusTM