在线咨询
中国工业与应用数学学会会刊
主管：中华人民共和国教育部
主办：西安交通大学
ISSN 1005-3085  CN 61-1269/O1
工程数学学报

工程数学学报 ›› 2021, Vol. 38 ›› Issue (2): 151-166.doi: 10.3969/j.issn.1005-3085.2021.02.001

• •    下一篇

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

李冬梅1,   刘伟华1,    汪   琪2,   郭美静1   

  1. 1- 哈尔滨理工大学理学院，哈尔滨  150080
    2- 黑龙江省医院儿科，哈尔滨  150036
  • 收稿日期:2018-09-29 接受日期:2019-12-20 出版日期:2021-04-15 发布日期:2022-11-08
  • 基金资助:
    黑龙江省自然科学基金 (A2016004).

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

LI Dong-mei1,   LIU Wei-hua1,   WANG Qi2,    GUO Mei-jing1   

  1. 1- School of Science, Harbin University of Science and Technology, Harbin 150080
    2- Department of Pediatrics, Heilongjiang Hospital, Harbin 150036
  • Received:2018-09-29 Accepted:2019-12-20 Online:2021-04-15 Published:2022-11-08
  • Supported by:
    The Natural Science Foundation of Heilongjiang Province (A2016004).

PDF (PC)

201

摘要： 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．

关键词: 乙肝免疫球蛋白, 乙肝病毒, 母婴间传播乙肝病毒动力学模型, 稳定性, 给药剂量

Abstract: 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.

Key words: hepatitis B immunoglobulin, hepatitis B virus, dynamic model of mother-to-child transmission of hepatitis B virus, stability, dosage

中图分类号: