| Abstract: |
| Two mathematical models: deterministic and stochastic describing the growth of early stage cancer were proposed. To develop these models for tumor growth we assume that cancer tumors are heterogenous populations consisting of six sub-populations of tumor cells: stem cells, tumor stem cells, healthy cells, cancer cells, quiescent cancer cells and quiescent cancer stem cells. Also we consider a situation when the heterogenous population of cells with different growth capabilities compete for resources in order to obtain more effective proliferation. The influence of the treatments for cancer cells is studied. Selected results of an extensive numerical analysis are presented.The advantages and disadvantages of each approach are discussed. |
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