A Quasi-Steady-State Approximation to the Basic Target-Cell-Limited Viral Dynamics Model with a Non-Cytopathic Effect

被引:6
作者
Cangelosi, Richard A. [1 ]
Schwartz, Elissa J. [2 ,3 ]
Wollkind, David J. [2 ]
机构
[1] Gonzaga Univ, Dept Math, Spokane, WA 99258 USA
[2] Washington State Univ, Dept Math & Stat, Pullman, WA 99164 USA
[3] Washington State Univ, Sch Biol Sci, Pullman, WA 99164 USA
来源
FRONTIERS IN MICROBIOLOGY | 2018年 / 9卷
关键词
quasi-steady-state approximation; viral dynamics; equine infectious anemia virus; HIV; dynamical systems; matched asymptotic expansion; STABILITY;
D O I
10.3389/fmicb.2018.00054
中图分类号
Q93 [微生物学];
学科分类号
071005 ; 100705 ;
摘要
Analysis of previously published target-cell limited viral dynamic models for pathogens such as HIV, hepatitis, and influenza generally rely on standard techniques from dynamical systems theory or numerical simulation. We use a quasi-steady-state approximation to derive an analytic solution for the model with a non-cytopathic effect, that is, when the death rates of uninfected and infected cells are equal. The analytic solution provides time evolution values of all three compartments of uninfected cells, infected cells, and virus. Results are compared with numerical simulation using clinical data for equine infectious anemia virus, a retrovirus closely related to HIV, and the utility of the analytic solution is discussed.
引用
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页数:6
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