Control the tumour growth via sliding mode control

Abstract

Cancer immunotherapy aims at provoke an immune response against tumour, which is done by the use of natural and synthetic substances. In this paper, due to uncertainties in tumour growth model as a nonlinear system, a sliding mode control based on the Lyapunov stability theory is designed to achieve the effective dose in immunotherapy treatment. Also, so as to provide a virtual patient to design a sliding mode controller, the description on the identification process for a particular cancer mathematical model under the immunotherapy treatment by recurrent neural networks is done. An appropriate sliding surface is acquired through a sliding mode control design such that the state trajectories of system will reach to desirable values. As a consequence, the system is simulated to demonstrate the efficacy of the presented method.