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
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ISSN | 1751-3758 |
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 |
DOI | 10.1080/17513758.2018.1498984 |
URL | 查看来源 |
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 | |
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. |
条目包含的文件 | 条目无相关文件。 |
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