Mathematical models of HIV-1 infection including an eclipse phase are virologically reasonable and affect on quantifying viral dynamics of acute HIV-1 infection compared with models without the eclipse phase. However, it remains unclear how the modeling of the eclipse phase changes the estimated values of kinetic parameters and derived quantities, because, so far, most of studies quantifying viral dynamics are limited on analysing viral load datasets. Furthermore, the data analysis is essentially based on piece wise linear regression of the log transformed viral loads. Using the time course data of target cell densities and viral load from HIV-1 infected humanized mouse, we herein derived a novel delay differential equation model and investigated the effect of the eclipse phase on quantifying acute viral dynamics. Our findings suggest that modeling of the eclipse phase affects especially on the infection rate of viruses and the death rate of infected cells but not on the initial viral growth rate in HIV-1 infected humanized mouse.
