Table 1 Estimated population parameters for the model with the best fit
Parameter | Description | Fixed effects | STD Random effects | |||
|---|---|---|---|---|---|---|
\(\theta\) | %RSE | \({\sigma }_{\theta }\) | %RSE | |||
\({f}_{I}\) | Fraction of virus produced by short-lived infected cells pre-CD8-depletion | 0.97 | 1.4 | 0.5 | – | |
\({\log }_{10}{V}_{0}\) [log10 copies/mL] | Log10 Viral load pre-CD8-depletion | 6.5 | 1.8 | 0.5 | 16.5 | |
\(r\) [1/day] | Maximum proliferation rate of Ki67+CD4+ T cells | 0.02 | 39.5 | 0.9 | 36.8 | |
\(K\) [cells/μL] | Carrying capacity for proliferation rate of Ki67+CD4+ T cells | 76.8 | 79.8 | 2.9 | 20.6 | |
\({\delta }_{1}\) [1/day] | Death rate of SIV-infected short-lived cells pre-SIV-DNA integration | 0.14 | 32.5 | 0.5 | – | |
\({\delta }_{2}\) [1/day] | Death rate of productively SIV-infected cells | 1.4 | 14.5 | 0.5 | – | |
\({\delta }_{m}\) [1/day] | Death rate of SIV-infected long-lived cells pre-SIV-DNA integration | 0.02 | – | 0.2 | – | |
\(\omega\) | for majority | Efficacy of raltegravir in reducing SIV-DNA integration events | 94% | 0.9 | 0.2 | 92.2 |
for RM238, RM239 | 66% (p = 0.001)* | 31 | ||||
\({\log }_{10}\beta\) [μL/day/mL] | Log10 SIV infectivity rate | −7.8 | 1.1 | 0.3 | 25.3 | |
\(p\) [1/day] | Virus production rate | 40,000 | – | 0.5 | – | |
\(\tau\) [days] | Pharmacological delay of raltegravir | 1.1 | 34 | 0.9 | 28.6 | |
CD8 depletion effects | \({\xi }_{1}\) | Fraction reduction of death rate of SIV-infected short-lived cells pre-SIV-DNA integration during CD8-cell-depletion | 0 | – | – | – |
\({\xi }_{2}\) | Fraction reduction of death rate of productively SIV-infected cells during CD8-cell-depletion | 0 | – | – | – | |
\({1+\xi }_{3}\) | Fold increase in virus infectivity during CD8-cell-depletion | 1 | – | – | – | |
\(1+{\xi }_{4}\) | Fold increase in virus production rate during CD8-cell-depletion | 1.84 | 11.7 | – | – | |
\({1+\xi }_{5}\) | Fold increase in maximum proliferation rate of Ki67+CD4+ T cells | 4.9 | 34 | – | – | |
Measurement error | \({\sigma }_{v}\) | Measurement error for the logged viral load | 0.23 | 3.9 | – | – |
\({\sigma }_{t}\) | Measurement error for the logged Ki67+CD4+ T cell count | 0.26 | 5.3 | – | – | |
