Combination Therapy-Based Adaptive Control for Organism Using Medicine Dosage Regulation Mechanism
研究了基于自适应动态规划和非零和博弈的最优控制策略，通过肿瘤模型模拟细胞与药物浓度关系，提出单评论家网络架构求解耦合方程，实现化疗和抗血管生成药物的剂量实时调节，并用李雅普诺夫理论验证稳定性。
In this article, the optimal control strategy for organism is investigated by using the adaptive dynamic programming (ADP) method under the architecture of nonzero-sum games (NZSGs). First, 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 the 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 the Lyapunov theory. Finally, a simulation experiment is conducted to verify the effectiveness of the proposed method.