Table 2. HIV infection with single strain.

Within-host layer of HIV multi-scale model with assumption of single strain HIV infection. The uninfected CD4+ T cells get infected by the free virions and produce HIV virus. CD4+ T cells have the constant reproduction and death rates. HIV induces death rate of infected cells. HIV population increases by production of virus by infected cells, and decreases because of the virus clearance and shedding rate.

Model diagram
Equations
$\frac{dT}{d\tau }=\lambda -kTV-dT$
$\frac{d{T}^{\ast }}{d\tau }=kTV-\left(\mu +d\right)T^{\ast }$
$\frac{dV}{d\tau }=N\left(\mu +d\right)T^{\ast }-\left(c+s\right)V-kTV$
Parameters
λ	Reproduction rate of uninfected cells
k	Infection rate of uninfected cells
d	Natural death rate of uninfected cells
μ	HIV induced death rate of infected cells
N	HIV production by infected cells
s	Shedding rate of virus
c	HIV clearance rate