Abstract: Evidences show that Traditional Chinese Medicines（TCM） plus Nucleoside Analogues（NA） anti-Hepatitis B Virus（HBV） infection therapy may not only suppress chronic HBV patients’ serum HBV DNA level but also regulate patients’ specific immune functions, which clear HBV directly and almost do not damage patients’ hepatocytes. This paper introduces a differential equation model with five state variables to describe the dynamics of TCM+NA anti-HBV infection therapy. It has been proved that if a basic virus reproductive number [R0<1], then the infection free solution is globally attractive. This result suggests that if an anti-virus infection therapy makes an HBV infected patient’s [R0<1], then the patient will eventually recover even if the patient’s serum HBV DNA has very high level. As an application, this model is used to simulate the dynamics of TCM+NA anti-HBV infection personalized combination therapy. Numerical simulations and analysis suggest that the TCM+NA combination therapies are able to activate patients’ abilities of cytokine-mediated noncytolytic HBV clearance.

Key words: chronic Hepatitis B Virus（HBV） infection, mathematical modeling, basic virus reproductive number, global stability, numerical simulation

摘要： 证据显示，传统中药（TCM）加核苷类似物（NA）抗乙型肝炎病毒（HBV）感染治疗可能不仅压制患者血清HBV DNA水平，而且还能激活患者的特殊免疫功能直接清除HBV而几乎不损伤患者的肝细胞。提出一个具有5个变量的微分方程模型来描述TCM+NA抗HBV感染治疗动力学。证明当新模型的基本病毒复制数[R0<1]时，病毒清除平衡点全局吸引。这意指如果抗病毒感染治疗使得患者的[R0<1]，则即使患者的血清HBV DNA水平非常高也将最终痊愈。作为应用，运用新模型模拟TCM+NA抗HBV感染个性化组合治疗的动力学。数值模拟和分析说明TCM+NA组合治疗能够激活病人细胞因子介导的非细胞毒性HBV清除能力。

关键词: 慢性乙型肝炎病毒（HBV）感染, 数学模型, 基本病毒复制数, 全局稳定性, 数值模拟