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

摘要

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.