Required section · Section 4 of 6
Guided case: a timed vancomycin pair
A serious-MRSA bloodstream-infection case uses vancomycin 1,250 mg IV every 12 hours infused over 1 hour. Doses start 08/13 05:00, 08/13 17:00, 08/14 05:00, and 08/14 17:00. Dose 5 runs 08/15 05:00–06:00 after about 4.7 half-lives; dose 6 starts 08/15 17:00. The model is one-compartment, first-order, steady-state intermittent infusion.
The 07:30 post-distribution specimen is 22.1 µg/mL = 22.1 mg/L; the 16:45 trough is 11.8 µg/mL = 11.8 mg/L. k = ln(22.1 / 11.8) / 9.25 = 0.0678 h⁻¹; half-life = ln(2) / k ≈ 10.2 h; end-infusion Cmax ≈ 22.1 × e^(0.0678 × 1.5) = 24.47 mg/L.
For intermittent infusion at steady state, Cmax,ss = (R0 / (V × k)) × ((1 − e^(−k × Tinf)) / (1 − e^(−k × τ))). With R0 = 1,250 mg/h, Tinf = 1 h, and τ = 12 h, V ≈ 88.69 L, CL = k × V ≈ 6.016 L/h, and AUC24 = 2 × 1,250 / 6.016 ≈ 416 mg·h/L. The 400–600 mg·h/L target applies only to the stated serious-MRSA/MIC context.
Illustrative drawing — this picture was drawn rather than captured.
Illustrative drawing — this picture was drawn rather than captured.
| Event | Date and time | Source or result | Interpretive role |
|---|---|---|---|
| Dose 1 | 08/13 05:00–06:00 | 1,250 mg IV over 1 h | q12h steady-state lead-in |
| Dose 2 | 08/13 17:00–18:00 | 1,250 mg IV over 1 h | q12h steady-state lead-in |
| Dose 3 | 08/14 05:00–06:00 | 1,250 mg IV over 1 h | q12h steady-state lead-in |
| Dose 4 | 08/14 17:00–18:00 | 1,250 mg IV over 1 h | q12h steady-state lead-in |
| Dose 5 | 08/15 05:00–06:00 | 1,250 mg IV over 1 h | after about 4.7 half-lives |
| Post-distribution specimen | 08/15 07:30 | Peripheral, 22.1 µg/mL | 1.5 h after infusion end |
| Trough specimen | 08/15 16:45 | Peripheral, 11.8 µg/mL | 15 min before dose 6 |
| Dose 6 | 08/15 17:00 | 1,250 mg IV starts | next q12h dose |
| Calculated result | — | AUC24 ≈416 mg·h/L | serious MRSA, MIC 1 mg/L context |
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