Basic stochastic models for viral infection within a host

Sukhitha W. Vidurupola, Linda J.S. Allen

Research output: Contribution to journalArticle

4 Scopus citations

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.

Original languageEnglish
Pages (from-to)915-935
Number of pages21
JournalMathematical Biosciences and Engineering
Volume9
Issue number4
DOIs
StatePublished - Oct 2012

Keywords

  • Stochastic differential equations
  • Target cells
  • Virus

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