Table 1.
Parameter | Description | Value | Source |
---|---|---|---|
β 1 | Virus infectivity | 0.000024 m l −1 d −1 | [13] |
β 2 | Cell-associated | 100−1000× | [14, 15, 17] |
Virus infectivity | 0.000012 m l −1 d −1 | ||
h 1 | Neutralizing efficiency | 0.001 m l −1 d −1 | Est. |
h 2 | CTLs killing efficiency | 0.01 m l −1 d −1 | Est. |
h | Cytokine killing efficiency | 0.0011 m l −1 d −1 | Est. |
μ T | Death rate of CD4 + T cells | 0.02 d −1 | [18] |
ω | Saturation constant | 0.01 m l −1 | Est. |
S T | Source term for CD 4+ T cells | 10 cells d −1 | Est. |
μ C | CTL death rate | 0.5 d −1 | Est. |
Infected cell death rate | 0.5 to 1 d −1 | [18] | |
μ B | B cell death rate | 0.5 d −1 | Est. |
θ 1 | Transition probability | 1/3 | [19] |
θ 2 | Transition Probability | 0.06315 | Computed |
θ 3 | Transition Probability | 0.43685 | Computed |
ϕ | Viral production/cycle/provirus | 1000 | Est. |
ψ | Probability of proliferation of CTLs | 0.01 | Est. |
χ | Probability of proliferation of B cells | 0.01 | Est. |
a 1 | Saturating constant | 0.002 m l −1 | Est. |
a 2 | Saturating constant | 0.002 m l −1 | Est. |
Parameters values that were not obtained from literature were chosen to be in the ranges 0 to 1. Est. means parameters were estimated/derived to simulate acceptable HIV dynamics. The infectivity of the cell associated virus is 102 to 103 times greater than the infectivity of free virus stocks [14], so we multiplied the infectivity of the free virus by values in the ranges 102 to 103 to get the infectivity of the cell associated virus.