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Research Article

Mathematical Model Of Cellular Automata And Fractals In Cancer Growth


Author(s): J. Arockia Aruldoss , J.Ashwini Pricilla
Affiliation: PG and Research Department of Mathematics St. Joseph’s College of Arts and Science (Autonomous),Cuddalore,Tamilnadu, India. Email: aruligori@gmail.com
Year of Publication: 2014
Source: International Journal of Computing Algorithm
     
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Citation: J. Arockia Aruldoss, J.Ashwini Pricilla. "Mathematical Model Of Cellular Automata And Fractals In Cancer Growth." International Journal of Computing Algorithm 3.3 (2014): 243-245.

Abstract:
In this paper, Mathematical Model can generate dynamics using Cellular AutomataCA and Fractals in cancer growth. This model describes a cancer growth are inspired from the conway’s game of life and each cell of the grid represents the location of living cells. To achieve this model we have developed an algorithm based mainly on Cellular Automata CA and Fractal Technique FT. Using these both technique provide more information about cancer growth.


Keywords Dynamics, Dimensions, Cellular AutomataCA, Fractals, Self-Similarity, Pascal Triangle and Sierpinski Triangle.


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@article{Mat1484922, author = {J. Arockia Aruldoss,J.Ashwini Pricilla}, title = {Mathematical Model Of Cellular Automata And Fractals In Cancer Growth}, journal={International Journal of Computing Algorithm}, volume={3}, issue={3}, issn = {2278-2397}, year = {2014}, publisher = {Scholarly Citation Index Analytics-SCIA}

  • [1] TommasoToffoli, 1984 “Cellular Automata as an Alternative to Differential Equations”.
  • [2] S. Wolfram, 1986, “Theory and Application of Cellular Automa”.
  • [3] P.Kurka, 2001, “Topological Dynamics of Cellular Automata, Codes systems, and graphical models”.
  • [4] B.BondarehKo, 1990,”Generalized Pascal Triangle and pyramids, their Fractals, Graphics and Applications”.
  • [5] Ary L. Goldberger, 1997, “Fractal Variability VersusPathalogic Periodicity”.
  • [6] P.Anand and A.B. Kunnumakara, Cancer is a preventable disease that requires major lifestyle changes, Pharm. Res.2592008,2097-2116.
  • [7] M.Mamat, E.S Nugraha, and A,Kartono. Mathematical modeling of tumor immune interaction. Far East Journal of Applied Mathematics. 4112010, 133-151.
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