Event-Triggered Based Feedback Impulse Control for the Tumor Growth Model With Chemotherapy

Abstract

This paper presents a novel approach for cancer treatment using the event-triggered impulse control approach. The proposed approach primarily focuses on adjusting the interval of the chemotherapy regimen, followed by implementing state feedback control to administer flexible chemotherapy dosage based on the last measurement of the patient during each interval. In this way, less total dose and shorter tumor eradicated time are achieved as compared to similar recent work. Different from other researches, as the hidden characteristic of tumor cells often inhibits the immune system’s effective recognition and feasibility measurement, we guide chemotherapy in terms of the state of immune cells in our proposed method, providing practical feasibility for treatment. To ensure the effectiveness of the proposed method, we investigate three novel theorems based on the Lyapunov stability theorem. Simulation and results have verified the correctness and superiority of the proposed scheme.

Keywords

• Tumor therapy
• impulse control
• event-triggered impulse control
• chemotherapy interval