Various Mathematical Models of Tumor Growth with Reference to Cancer Stem Cells: A Review

  • Azim Rivaz
  • Mahdieh AzizianEmail author
  • Madjid Soltani
Review Paper
Part of the following topical collections:
  1. Mathematics


Using mathematical models to simulate biological systems has a long history. An increasing number of such models have been applied to various aspects of tumor growth, with the ultimate goal of controlling cancer. Nevertheless, very little has been done in the field of cancer stem cells. Herein, we have reviewed some mathematical models of tumor growth and their specific properties. Considering the importance of the role cancer stem cells play in the production, progression and recurrence of cancer, we have also examined a mathematical growth model describing the dynamics of tumor growth in the presence of cancer stem cells.


Mathematical modeling Tumor growth Cancer stem cells 


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© Shiraz University 2019

Authors and Affiliations

  1. 1.Department of Applied Mathematics, Faculty of MathematicsShahid Bahonar University of KermanKermanIran
  2. 2.Department of General Educations, Afzalipour School of MedicineKerman University of Medical SciencesKermanIran
  3. 3.Department of Mechanical EngineeringK. N. Toosi University of TechnologyTehranIran
  4. 4.Center for Biotechnology and Bioengineering (CBB)University of WaterlooWaterlooCanada

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