HBV感染动力学微分方程模型综述

StephenW

J Virol Methods. 2019 Feb 1. pii: S0166-0934(18)30396-3. doi: 10.1016/j.jviromet.2019.01.014. [Epub ahead of print]
The review of differential equation models of HBV infection dynamics.
Li M1, Zu J2.
Author information

1
    School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi, 710049, PR China.
2
    School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi, 710049, PR China. Electronic address: [email protected].

Abstract

Understanding the infection and pathogenesis mechanism of hepatitis B virus (HBV) is very important for the prevention and treatment of hepatitis B. Mathematical models contribute to illuminate the dynamic process of HBV replication in vivo. Therefore, in this paper we review the viral dynamics in HBV infection, which may help us further understand the dynamic mechanism of HBV infection and efficacy of antiviral treatment. Firstly, we introduce a family of deterministic models by considering different biological mechanisms, such as, antiviral therapy, CTL immune response, multi-types of infected hepatocytes, time delay and spatial diffusion. Particularly, we briefly describe the stochastic models of HBV infection. Secondly, we introduce the commonly used parameter estimation methods for HBV viral dynamic models and briefly discuss how to use these methods to estimate unknown parameters (such as drug efficacy) through two specific examples. We also discuss the idea and method of model identification and use a specific example to illustrate its application. Finally, we propose three new research programs, namely, considering HBV drug-resistant strain, coupling within-host and between-host dynamics in HBV infection and linking population dynamics with evolutionary dynamics of HBV diversity.

Copyright © 2019. Published by Elsevier B.V.
KEYWORDS:

Antiviral therapy; Drug resistance; Hepatitis B virus; Mathematical model; Pharmacokinetics

PMID:
    30716348
DOI:
    10.1016/j.jviromet.2019.01.014

StephenW

J Virol方法。 2019年2月1日.pii：S0166-0934（18）30396-3。 doi：10.1016 / j.jviromet.2019.01.014。 [印刷前的电子版]
HBV感染动力学微分方程模型综述。
李M1，祖J2。
作者信息

1
    西安交通大学数学与统计学院，陕西西安710049
2
    西安交通大学数学与统计学院，陕西西安710049电子地址：[email protected]。

抽象

了解乙型肝炎病毒（HBV）的感染和发病机制对于预防和治疗乙型肝炎非常重要。数学模型有助于阐明体内HBV复制的动态过程。因此，本文综述了HBV感染的病毒动态，这可能有助于我们进一步了解HBV感染的动态机制和抗病毒治疗的疗效。首先，我们通过考虑不同的生物学机制，如抗病毒治疗，CTL免疫反应，多种类型的感染肝细胞，时间延迟和空间扩散，引入一系列确定性模型。特别地，我们简要描述了HBV感染的随机模型。其次，我们介绍了常用的HBV病毒动态模型参数估计方法，并通过两个具体实例简要讨论了如何使用这些方法估计未知参数（如药效）。我们还讨论了模型识别的思想和方法，并使用一个具体的例子来说明其应用。最后，我们提出了三个新的研究计划，即考虑HBV耐药菌株，HBV感染中的宿主内和宿主间动力学，以及将种群动态与HBV多样性的进化动力学联系起来。

版权所有©2019。Elsevier B.V.
关键词：

抗病毒治疗;耐药性;乙型肝炎病毒;数学模型;药代动力学

结论：
    30716348
DOI：
    10.1016 / j.jviromet.2019.01.014