乙肝免疫球蛋白阻断乙肝病毒在母婴间传播的动力学模型

Dynamics Model of Hepatitis B Immunoglobulin Blocking the Transmission of Hepatitis B Virus between Mother and Infant

本文针对乙肝病毒在母婴间的传播机理和乙肝免疫球蛋白药物对乙肝病毒抑制作用,建立了乙肝免疫球蛋白阻断乙肝病毒在母婴间传播的动力学模型.利用Lyapunov函数和复合矩阵理论,研究了模型平衡点的稳定性问题.再结合临床实践中乙肝免疫球蛋白治疗剂量与检测到乙肝病毒的DNA数据,运用Matlab数值模拟,分析了模型的合理性.数值模拟了不同给药剂量下,乙肝病毒携带者、乙肝病毒感染者孕妇体内病毒的数量,预测了胎儿感染的乙肝病毒数量,为临床用药提供了理论依据.

This paper is concerned with the transmission mechanism of hepatitis B virus between mother and infant and the inhibitory effect of hepatitis B immunoglobulin on hepatitis B virus,and the dynamics mode of blocking the transmission of hepatitis B virus between mother and infant is established.Applying Lyapunov function and composite matrix theory,the stability of equilibrium point of model is studied.The rationality of the model is analyzed by Matlab based on the clinical data of hepatitis B immunoglobulin dosage and detection of hepatitis B virus DNA.The numbers of hepatitis B virus in pregnant women with hepatitis B virus carriers and hepatitis B virus infections at different dosages are obtained by numerically simulation.Moreover,the number of hepatitis B virus in fetuses is predicted,which provides a theoretical basis for clinical medication.