Mathematical analysis of the global dynamics of a HTLV-I infection model, considering the role of cytotoxic T-lymphocytes
Mathematical analysis of the global dynamics of a HTLV-I infection model, considering the role of cytotoxic T-lymphocytes
复制标题
DOI：
10.1016/j.matcom.2020.09.009
复制
发表时间：
2021-02-01
影响因子：
4.6
通讯作者：
Roy, Tapan Kumar
中科院分区：
文献类型：
--
作者：
Khajanchi, Subhas;Bera, Sovan;Roy, Tapan Kumar
本文研究了CD8+ T细胞对人T细胞白血病/淋巴瘤病毒I型（HTLV-I）感染反应的数学模型。该模型包含四个耦合的非线性常微分方程，描述了未感染CD4+T细胞、潜伏感染CD4+T细胞、活跃感染CD4+T细胞和HTLV-I特异性细胞毒性T淋巴细胞（ctl）之间的相互作用。我们的模型显示了三种生物可行的平衡，即无感染稳态、无HTLV-I稳态和地方性稳态。我们的数学分析表明，局部和全局动态是由两个阈值参数R-0和R1决定的，分别是HTLV-I病毒感染和CTL反应的基本繁殖数。当R-0 < 1时，无感染稳态E-0全局渐近稳定，HTLV-I病毒被清除。对于R-1，在可行区域的内部。我们进行敏感性分析，找出HTLV-I感染模型相对于R-0和R-1的关键参数。我们的研究结果对体内HTLV-I感染的CTL反应动力学和HTLV-I相关脊髓病/热带痉挛性截瘫（HAM/TSP）的发病机制的意义进行了讨论。(C)国际数学与模拟计算机协会（IMACS）。Elsevier B.V.版权所有。
A mathematical model for the CD8+ T-cell response to Human T cell leukemia/lymphoma virus type I (HTLV-I) infection is investigated in this paper. The proposed model, which involves four coupled nonlinear ordinary differential equations, describes the interaction of uninfected CD4+T cells, latently infected CD4+T cells, actively infected CD4+T cells and HTLV-I specific cytotoxic T-lymphocytes (CTLs). Our model exhibits three biologically feasible equilibria, namely infection-free steady state, HTLV-I free steady state and an endemic steady state. Our mathematical analysis establishes that the local and global dynamics are determined by the two threshold parameters R-0 and R1, basic reproduction number for HTLV-I viral infection and for CTL response, respectively. For R-0 < 1, the infection-free steady state E-0 is globally asymptotically stable, and HTLV-I viruses are cleared. For R-1 1 in the interior of the feasible region. We perform the sensitivity analysis to find out the key parameters of the HTLV-I infection model with respect to R-0 and R-1. Implications of our findings to the dynamics of CTL response to HTLV-I infections in vivo and pathogenesis of HTLV-I associated myelopathy/tropical spastic paraparesis (HAM/TSP) are discussed. (C) 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.