Basic stochastic models for viral infection within a host

Sukhitha W. Vidurupola; Linda J. S. Allen

doi:10.3934/mbe.2012.9.915

Article Contents

2012, Volume 9, Issue 4: 915-935. Doi: 10.3934/mbe.2012.9.915

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Basic stochastic models for viral infection within a host

Sukhitha W. Vidurupola^1, and
Linda J. S. Allen^2,

1.
Texas Tech University, Department of Mathematics and Statistics, Lubbock, Texas 79409-1042
2.
Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042

Received: August 31, 2011

Revised: May 31, 2012

Published: September 2012

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Abstract

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.

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Mathematics Subject Classification: Primary: 92D30; Secondary: 34D20; 60H10.

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