Basic stochastic models for viral infection within a host
Stochastic differential equation (SDE) models are formulated for intra-host virus-cell dynamics during the early stages of viral infection, prior to activation of the immune system. The SDE models incorporate more realism into the mechanisms for viral entry and release than ordinary differential e...
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| Format: | Article |
| Language: | English |
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AIMS Press
2012-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.915 |
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| author | Sukhitha W. Vidurupola Linda J. S. Allen |
| author_facet | Sukhitha W. Vidurupola Linda J. S. Allen |
| author_sort | Sukhitha W. Vidurupola |
| collection | DOAJ |
| description | Stochastic differential equation (SDE) models are formulated for intra-host virus-cell dynamics during the early stages of viral infection, prior to activation of the immune system. The SDE models incorporate more realism into the mechanisms for viral entry and release than ordinary differential equation (ODE) models and show distinct differences from the ODE models. The variability in the SDE models depends on the concentration, with much greater variability for small concentrations than large concentrations. In addition, the SDE models show significant variability in the timing of the viral peak. The viral peak is earlier for viruses that are released from infected cells via bursting rather than via budding from the cell membrane. |
| format | Article |
| id | doaj-art-7b7ac87932cf4efeb99993367e08afa2 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2012-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-7b7ac87932cf4efeb99993367e08afa22025-01-24T02:07:06ZengAIMS PressMathematical Biosciences and Engineering1551-00182012-09-019491593510.3934/mbe.2012.9.915Basic stochastic models for viral infection within a hostSukhitha W. Vidurupola0Linda J. S. Allen1Texas Tech University, Department of Mathematics and Statistics, Lubbock, Texas 79409-1042Texas Tech University, Department of Mathematics and Statistics, Lubbock, Texas 79409-1042Stochastic differential equation (SDE) models are formulated for intra-host virus-cell dynamics during the early stages of viral infection, prior to activation of the immune system. The SDE models incorporate more realism into the mechanisms for viral entry and release than ordinary differential equation (ODE) models and show distinct differences from the ODE models. The variability in the SDE models depends on the concentration, with much greater variability for small concentrations than large concentrations. In addition, the SDE models show significant variability in the timing of the viral peak. The viral peak is earlier for viruses that are released from infected cells via bursting rather than via budding from the cell membrane.https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.915target cellsvirusstochastic differential equations. |
| spellingShingle | Sukhitha W. Vidurupola Linda J. S. Allen Basic stochastic models for viral infection within a host Mathematical Biosciences and Engineering target cells virus stochastic differential equations. |
| title | Basic stochastic models for viral infection within a host |
| title_full | Basic stochastic models for viral infection within a host |
| title_fullStr | Basic stochastic models for viral infection within a host |
| title_full_unstemmed | Basic stochastic models for viral infection within a host |
| title_short | Basic stochastic models for viral infection within a host |
| title_sort | basic stochastic models for viral infection within a host |
| topic | target cells virus stochastic differential equations. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.915 |
| work_keys_str_mv | AT sukhithawvidurupola basicstochasticmodelsforviralinfectionwithinahost AT lindajsallen basicstochasticmodelsforviralinfectionwithinahost |