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• W2949416889 abstract "In this article we provide homotopy solutions of a cancer nonlinear model describing the dynamics of tumor cells in interaction with healthy and effector immune cells. We apply a semi-analytic technique for solving strongly nonlinear systems - the Step Homotopy Analysis Method (SHAM). This algorithm, based on a modification of the standard homotopy analysis method (HAM), allows to obtain a one-parameter family of explicit series solutions. By using the homotopy solutions, we first investigate the dynamical effect of the activation of the effector immune cells in the deterministic dynamics, showing that an increased activation makes the system to enter into chaotic dynamics via a period-doubling bifurcation scenario. Then, by adding demographic stochasticity into the homotopy solutions, we show, as a difference from the deterministic dynamics, that an increased activation of the immune cells facilitates cancer clearance involving tumor cells extinction and healthy cells persistence. Our results highlight the importance of therapies activating the effector immune cells at early stages of cancer progression." @default.
• W2949416889 created "2019-06-27" @default.
• W2949416889 creator A5022876719 @default.
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• W2949416889 date "2014-11-28" @default.
• W2949416889 modified "2023-10-18" @default.
• W2949416889 title "Activation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approach" @default.
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• W2949416889 hasPublicationYear "2014" @default.
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