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Cellular automata models of tumour natural shrinkage

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  • Naumov, Lev
  • Hoekstra, Alfons
  • Sloot, Peter

Abstract

In this paper we present three dimensional cellular automata models for tumour growth, with a focus on the tumour’s natural shrinkage caused by the removal of the dead cells’ mortal remains. The significance of this phenomenon for the resulting volume of the in silico tumour is shown. Two algorithms are presented, one using the chain shifting approach for tumour expansion and shrinkage and another improving the performance of the chain shifting approach. Simulations are validated against the experimental results.

Suggested Citation

  • Naumov, Lev & Hoekstra, Alfons & Sloot, Peter, 2011. "Cellular automata models of tumour natural shrinkage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2283-2290.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:12:p:2283-2290
    DOI: 10.1016/j.physa.2011.02.006
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    References listed on IDEAS

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    1. L. Ferrante & S. Bompadre & L. Possati & L. Leone, 2000. "Parameter Estimation in a Gompertzian Stochastic Model for Tumor Growth," Biometrics, The International Biometric Society, vol. 56(4), pages 1076-1081, December.
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    3. Mansury, Yuri & Deisboeck, Thomas S., 2004. "Simulating ‘structure–function’ patterns of malignant brain tumors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 219-232.
    4. Junior, S.C.Ferreira & Martins, M.L. & Vilela, M.J., 1998. "A growth model for primary cancer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 569-580.
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