Optimal Treatment Strategies for HIV with Antibody Response

Table 1

Definitions and values for parameters.

Parameter	Constants	Values with unit
𝑟1	Rate growth of uninfected CD4^+T	0.01 d^−1
𝑟2	Rate apoptosis of uninfected CD4^+T	2𝑒−3 d^−1
𝐵𝑉	Parameter involving amount of antigen	400
𝐵𝑇	Parameter involving apoptosis of CD4^+T	350
𝜇𝑇	Death rate of uninfected CD4^+T	0.02 d^−1
𝜇𝐼	Death rate of infected CD4^+T	0.25 d^−1
𝜇𝑉	Death rate of virus	0.95 d^−1
𝜇𝐸	Death rate of CTL	1.5 d^−1
𝜇𝐵	Death rate of antibodies	0.005 d^−1
𝑞	Rate virus deleted by CTL	5𝑒−2 mm^3 d^−1
𝑘1	Rate CD4^+T becomes infected by virus	2𝑒−4 mm^3 d^−1
𝑘2	Rate latently infected convert to actively infected	3𝑒−3 mm^3 d^−1
𝑘3	Rate actively infected cells deleted by CTL	2𝑒−3 mm^3 d^−1
𝑘4	Rate growth of CTL	1𝑒−5 mm^3 d^−1
𝑘5	Rate growth of antibody	2𝑒−4 mm^3 d^−1
𝑎0	Efficiency of each CTL	0.01 d^−1
𝑎1	Rate CTL suppresses virus	0.075 d^−1
𝑁	Average of viral particles	1000
𝑠1	Source term for uninfected CD4^+T	20 mm^3 d^−1
𝑠1	Source term for CTL	10 mm^3 d^−1
𝜔	Fraction of latently/infected CD4^+T	0.5
𝛽	Multiple of death rate of antibodies	10