科研成果详情

题名The effect of delay in viral production in within-host models during early infection
作者
发表日期2019-03-15
会议名称The Sixth International Conference on Mathematical Modeling and Analysis of Populations in Biological Systems (ICMA VI)
会议录名称Journal of Biological Dynamics
ISSN1751-3758
卷号13
期号sup1
页码47-73
会议日期20-22 October 2017
会议地点University of Arizona, Tucson, AZ, USA
摘要

Delay in viral production may have a significant impact on the early stages of infection. During the eclipse phase, the time from viral entry until active production of viral particles, no viruses are produced. This delay affects the probability that a viral infection becomes established and timing of the peak viral load. Deterministic and stochastic models are formulated with either multiple latent stages or a fixed delay for the eclipse phase. The deterministic model with multiple latent stages approaches in the limit the model with a fixed delay as the number of stages approaches infinity. The deterministic model framework is used to formulate continuous-time Markov chain and stochastic differential equation models. The probability of a minor infection with rapid viral clearance as opposed to a major full-blown infection with a high viral load is estimated from a branching process approximation of the Markov chain model and the results are confirmed through numerical simulations. In addition, parameter values for influenza A are used to numerically estimate the time to peak viral infection and peak viral load for the deterministic and stochastic models. Although the average length of the eclipse phase is the same in each of the models, as the number of latent stages increases, the numerical results show that the time to viral peak and the peak viral load increase.

关键词Markov chain probability of extinction stochastic differential equation viral infection
DOI10.1080/17513758.2018.1498984
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收录类别SCIE ; CPCI-S
语种英语English
WOS研究方向Environmental Sciences & Ecology ; Mathematical & Computational Biology
WOS类目Ecology ; Mathematical & Computational Biology
WOS记录号WOS:000505193700005
Scopus入藏号2-s2.0-85050274654
引用统计
被引频次:17[WOS]   [WOS记录]     [WOS相关记录]
文献类型会议论文
条目标识符https://repository.uic.edu.cn/handle/39GCC9TT/9004
专题个人在本单位外知识产出
作者单位
Department of Mathematics and Statistics,Texas Tech University,Lubbock,United States
推荐引用方式
GB/T 7714
Bai, Fan,Huff, Krystin E.S.,Allen, Linda J.S. The effect of delay in viral production in within-host models during early infection[C], 2019: 47-73.
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