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A numerical algorithm for avascular tumor growth model

Author

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  • Mahmood, Mohammed Shuker
  • Mahmood, Silvia
  • Dobrota, Dušan

Abstract

Avascular tumor growth model for multicellular spheroids is considered. The model is a moving boundary problem and consists of three types of cells. The governing equations are nonlinear hyperbolic and/or parabolic differential equations. Comparisons of the numerical solutions with the solution of the recent studies are done. The effect of the necrotic region on the tumor growth is discussed.

Suggested Citation

  • Mahmood, Mohammed Shuker & Mahmood, Silvia & Dobrota, Dušan, 2010. "A numerical algorithm for avascular tumor growth model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(6), pages 1269-1277.
  • Handle: RePEc:eee:matcom:v:80:y:2010:i:6:p:1269-1277
    DOI: 10.1016/j.matcom.2009.09.011
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    Cited by:

    1. Deswal, Komal & Taneja, Komal & Kumar, Devendra, 2024. "Higher-order compact finite difference method for a free boundary problem of ductal carcinoma in situ," Applied Mathematics and Computation, Elsevier, vol. 467(C).

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