Dynamic Modelling and Robust Control of Cancer Mutation Employing Sliding Mode Based Chemotherapy

Mutation dynamics of the cancer is modelled here analytically considering the chemotherapy injection as its related controlling input. Controlling the metastasis of cancer cells without considering the mutation challenge, results in drug resistance and failure of the treatment. In order to implement the required corrections on the injection dosage of the input, the model of the closed loop system of the cancer is required considering the mutation phenomenon. Thus the analytic model of the cancer mutation for which the chemotherapy can be employed as its corresponding controlling input is extracted in this paper. Considering the fact that the model of a biological system is always an approximate of the real system, robust sliding mode controller is employed. It is shown that by the aid of the proposed model and controlling strategy, not only the cancer cells can be converted to zero, but also its probable mutation risk will be blocked and the treatment process consequently will be accomplished in a stable mode. Verification of the developed model is performed by comparing the results with previous studies and the efficiency of the designed robust controller is evaluated by simulating the system and conducting some comparative simulation scenarios in MATLAB.