Abstract
A simple theoretical model of local activation and proliferation of a clone of cytotoxicalT-lymphocytes in response to a replicating tumor clone is presented. Dynamical evolution of this model describes different clinical situations of cancer disease. A detailed stability and bifurcation parameters analysis of the model states was done. In order to describe tumor metastasis, the model was expanded for description of the migration cells between two spaced tumor centers. By numerical computations for different values of cell migration rates, a chaotic regime was obtained through a cascade of doubling period. The migration model can be used to investigate and understand various types of dynamic evolution of invading tumor clones.
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Zaloj, V.A., Rotaru, A.K., Barbaroshie, A.E. et al. Nonlinear dynamics of the immune system interaction with the bilocal cancer tumor. J Biol Phys 21, 155–176 (1995). https://doi.org/10.1007/BF00712344
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DOI: https://doi.org/10.1007/BF00712344