Department of Electrical Engineering, National Central University, Jhongli, 32001, Taiwan.
IET Syst Biol. 2019 Aug;13(4):186-193. doi: 10.1049/iet-syb.2019.0023.
Currently, the anti-viral therapy has been extensively utilised to reduce the viral burden and switch off certain infectious sources for hepatitis B virus (HBV) infected patients in clinical treatment. Several pieces of existing evidence have demonstrated that large-scale coverage with anti-viral therapy has obtained a certain great contribution in hygiene and disease control. In this study, an anti-HBV mathematical model is considered and its control strategy of the drug treatment is designed. Based on the Lyapunov theory, this study derives three main theorems to propose three different control strategies, respectively, for drug treatments [inline-formula removed] and [inline-formula removed], such that all states of the anti-HBV model can finally converge to the infection-free equilibrium point [inline-formula removed] asymptotically. Especially, the designed drug treatment [inline-formula removed] or [inline-formula removed] is not a fixed value, but it is time-varying and dependent on states. In Theorem 1, the single drug treatment [inline-formula removed] without [inline-formula removed] is synthesised. Theorem 2 considers the single drug treatment [inline-formula removed] without [inline-formula removed]. In Theorem 3, the combination therapy of [inline-formula removed] and [inline-formula removed] is designed. Finally, there are several simulations to show that the proposed combination therapy is much more effective to cure HBV infected patients than the drug treatment with solely single [inline-formula removed] or single [inline-formula removed].
目前，抗病毒疗法已广泛应用于临床治疗中，以降低乙型肝炎病毒（HBV）感染患者的病毒载量并消除某些感染源。大量现有证据表明，大规模的抗病毒治疗在卫生和疾病控制方面取得了一定的巨大贡献。在这项研究中，考虑了一种抗 HBV 的数学模型，并设计了其药物治疗的控制策略。基于 Lyapunov 理论，本文推导出了三个主要定理，提出了三种不同的药物治疗控制策略[公式 1]和[公式 2]，使得抗 HBV 模型的所有状态最终都能渐近收敛到无感染平衡点[公式 3]。特别地，设计的药物治疗[公式 1]或[公式 2]不是固定值，而是时变的，并且依赖于状态。在定理 1 中，合成了无[公式 4]的单一药物治疗[公式 1]。定理 2 考虑了无[公式 4]的单一药物治疗[公式 2]。在定理 3 中，设计了[公式 1]和[公式 2]的联合治疗。最后，进行了几次模拟以表明，与单独使用单一[公式 1]或单一[公式 2]的药物治疗相比，所提出的联合治疗对治疗 HBV 感染患者更为有效。
