Super Twisting Sliding Mode Control of Cancer Chemotherapy

Abstract

One of the effective ways of treating cancer patients is Chemotherapy. Chemotherapy targets to eradicate the cancer cells to most possible extent. The process of chemotherapy includes delivery of drugs into patients' body in several ways (either oral or intravenous). The interactions of the external drugs, growth of tumor volume, and their rate of killing are reflected in different cell kill hypotheses. In this work, three cell kill hypotheses are considered. These are log-kill hypothesis, Norton-Simon hypothesis, and $E_{max}$ hypothesis subject to parametric and external perturbations. As per clinical suggestions, there exists a predefined trajectory of tumor volume upon chemotherapy treatment. The paper includes the design of a Super Twisting Sliding Mode Controller in order to ensure the precise trajectory tracking for the three hypotheses despite the presence of parametric perturbations, as well as external disturbances. Simulation results verify the proposed methodology. The entire research work is carried out in a in-sillico environment.