TY - JOUR
T1 - Basic stochastic models for viral infection within a host
AU - Vidurupola, Sukhitha W.
AU - Allen, Linda J.S.
PY - 2012/10
Y1 - 2012/10
N2 - 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.
AB - 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.
KW - Stochastic differential equations
KW - Target cells
KW - Virus
UR - http://www.scopus.com/inward/record.url?scp=84867806741&partnerID=8YFLogxK
U2 - 10.3934/mbe.2012.9.915
DO - 10.3934/mbe.2012.9.915
M3 - Article
C2 - 23311428
AN - SCOPUS:84867806741
VL - 9
SP - 915
EP - 935
JO - Mathematical Biosciences and Engineering
JF - Mathematical Biosciences and Engineering
SN - 1547-1063
IS - 4
ER -