Abstract

Tumor growth models as nonlinear systems have some equilibrium points. In clinical situations, the desirable equilibrium point is the state that the competition between the populations of tumor cells and immune cells tend to the state in which the sizes of these populations do not vary (dormancy mode) or populations of tumor are zero (free tumor mode). In this study, a feedback nonlinear control for tumor growth model is designed so as to stabilize the unstable desirable equilibrium points based on Lyapunov stability theory. The aim is to steer the state trajectories to the desirable equilibrium point in order to treat cancer disease. The efficiency of the proposed method is shown in the simulation part.

Keywords:

Equilibrium point, lyapunov stability theory, nonlinear feedback control, tumor growth,

References

Competing interests

The authors have no competing interests.

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Copyright

The authors have no competing interests.