Combination Therapy-Based Adaptive Control for Organism Using Medicine Dosage Regulation Mechanism

In this chapter, the optimal control strategy for organism is investigated by using adaptive dynamic programming (ADP) method under the architecture of nonzero-sum games (NZSGs). Firstly, a tumor model is established to formulate the interaction relationships among normal cells, tumor cells, endothelial cells and the concentrations of drugs. Then, the ADP-based method of single-critic network architecture is proposed to approximate the coupled Hamilton-Jacobi equations (HJEs) under the medicine dosage regulation mechanism (MDRM). According to game theory, the approximate MDRM-based optimal strategy can be derived, which is of great practical significance. Owing to the proposed mechanism, the dosages of the chemotherapy and anti-angiogenic drugs can be regulated timely and necessarily. Furthermore, the stability of the closed-loop system with the obtained strategy is analyzed via Lyapunov theory. Finally, a simulation experiment is conducted to verify the effectiveness of the proposed method.