Table 1.
Parameter values.
| Parameter | Definition | Value | Range | Units | Reference |
|---|---|---|---|---|---|
| rW | Virus growth rate for wild-type in the absence of antibodies | 23.60 | 0–46 | day −1 | Calculated (Appendix A) |
| rM1 | Virus growth rate for first mutant | 23.23 | 0–46 | day −1 | Calculated (Appendix A) |
| rM2 | Virus growth rate for second mutant | 23.09 | 0–46 | day −1 | Assumed |
| K | Virus carrying capacity | 1.14 × 108 | 7.47 × 108–3.82 × 108 | virus ml −1 | Calculated (Appendix A) |
| pW | Wild-type virus neutralization by antibody | 1.462 × 10−2 × m | (1.21 × 10−2–2.67 × 10−2) × m | ml mg −1 day−1 | Calculated (Appendix A) |
| pM1 | Mutant 1 virus neutralization by antibody | (varied) | — | ml mg −1 day−1 | Assumed |
| pM2 | Mutant 2 virus neutralization by antibody | (varied) | — | ml mg −1 day−1 | Assumed |
| q | Antibody decay rate | 0.0315 | 0.0277–0.0365 | day −1 | [ 32] |
| ϵ1 | Mutation rate from wild-type to first mutant (per base per cycle) | 2.7 × 10−5 | 1 × 10−5–3.4 × 10−5 | day −1 | [ 36] |
| ϵ2 | Mutation rate from wild-type to second mutant (per base per cycle) | 2.7 × 10−6 | 2 × 10−6–2.7 × 10−2 | day −1 | Assumed |
| Ai | Amount of antibody infusion | 38.4 × m | (25.6–51.2) × m | mg ml −1 | [ 10 , 11 ] |
| A0 | Antibody on Day 0 | 37.2 | 24.9–49.4 | mg ml −1 | Calculated (Appendix A) |
| VW(0) | Number of wild-type viral particles that initiated infection | 224 | 175–350 | virus ml−1 | [ 10,37] |
| VM1(0) | Number of Mutant 1 viral particles that initiated infection | 9 | — | virus ml−1 | [ 10] |
| VM2(0) | Number of Mutant 2 viral particles that initiated infection | 1 | — | virus ml−1 | Assumed |
| t1/2 | Half-life of virus due to antibody neutralization | 1.3 | 0.7–1.8 | day | [ 33–35] |
| dW , dM1, dM2 | Viral clearance rate | 23 | 9.1–36 | day−1 | [ 38] |
| m | Antibody magnification factor | {1, 10, 50} | — | — | — |