The qualitative analysis, existence of equilibria and asymptotic behavior of the competition between tumor and immune cells are studied under the assumption of the time dependence of the parameters and the existence of a source (represent- ing the therapeutical action). In particular, the time-dependent parameters are taken into account, by assuming that they are represented by a decaying sigmoid- like function. The background model of time-dependence parameters belongs to the hiding-learning dynamics [12, 13, 14] of kinetic models [2, 3, 4, 5, 6, 7, 8, 9, 15, 34]
Early stage of tumor-immune system competition with time dependent parameter and external source
CATTANI, Carlo;
2010
Abstract
The qualitative analysis, existence of equilibria and asymptotic behavior of the competition between tumor and immune cells are studied under the assumption of the time dependence of the parameters and the existence of a source (represent- ing the therapeutical action). In particular, the time-dependent parameters are taken into account, by assuming that they are represented by a decaying sigmoid- like function. The background model of time-dependence parameters belongs to the hiding-learning dynamics [12, 13, 14] of kinetic models [2, 3, 4, 5, 6, 7, 8, 9, 15, 34]File in questo prodotto:
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