Table 1.

Parameters of the model, definitions, and the mechanism they represent

Parameter	Mechanism	Definition
sT	T cell generation	Production rate of uninfected CD4+ T cells
fT	T cell generation	Percentage of augmented stem cells, which produce CCR5−/− CD4+ T cells
rT	T cell proliferation	Proliferation rate of uninfected CD4+ T cells in the absence of infection
pT	T cell proliferation	Max. proliferation rate of uninfected CD4+ T cells due to infection
cT	T cell proliferation	Conc. of virus, at which the proliferation rate of uninfected CD4+ T cells due to infection is half of pT
dT	T cell apoptosis	Death rate of uninfected CD4+ T cells
kVT	T cell infection	Rate constant for infection of CD4+ T cells by HIV
kMT	T cell infection	Rate constant for infection of CD4+ T cells by infected macrophages
αCCR5	T cell infection	Reduction in kVT for CCR5−/− CD4+ T cells
εCCR5	T cell infection	Reduction in kMT for CCR5−/− CD4+ T cells
kL	T cell latency	Fraction of infected CD4+ T cells that become latently infected.
aL	Act of latent T cells	Activation rate of latently infected CD4+ T cells
dTI	Infected T cell death	Death rate of infected CD4+ T cells
kET	Infected T cell kill	Rate constant for killing of infected CD4+ T cells by CD8+ T cells
dL	Latent T cell death	Death rate of latently infected CD4+ T cells
sM	Mφ generation	Production rate of uninfected macrophages
fM	Mφ generation	Percentage of augmented stem cells, which produce CCR5−/− macrophages
pM	Mφ proliferation	Maximum proliferation rate of uninfected macrophages due to infection
cM	Mφ proliferation	Concentration of virus, at which the proliferation rate of uninfected macrophages due to infection is half of pM
dM	Mφ apoptosis	Death rate of uninfected macrophages
kVM	Mφ infection	Rate constant for infection of macrophages by HIV
βCCR5	Mφ infection	Reduction in kVM for CCR5−/− macrophages
dMI	Infected Mφ death	Death rate of infected macrophages
kEM	Infected Mφ kill	Rate constant for killing of infected macrophages by CD8+ T cells
sE	CD8+ T cell gen.	Production rate of CD8+ T cells
pE	CD8+ T cell prolif.	Maximum proliferation rate of CD8+ T cells due to infection
cE	CD8+ T cell prolif.	Conc. of CD4+ T cells, at which the proliferation rate of CD8+ T cells due to infection is half of pE
dE	CD8+ T cell death	Death rate of CD3+ CD8+ T cells
dV	Virus clearance	Clearance rate of free virus
nT	Virus production	Burst size of infected CD4+ T cells
nM	Virus production	Burst size of infected macrophages