Supplemental Methods Procedures for drug extraction and quantification were developed based on previously reported sample processing and HPLC methods. (1-4) Chemicals used. Acetonitrile and methanol were HPLC-grade and purchased from VWR (Radnor, PA). Ultrapure deionized water was generated using an Aqua Solutions Type I water purification system (resistivity ≥18.2MΩ) and used in all applications. Piperacillin powder was purchased from U.S. Pharmacopeia (Rockville, MD). Tazobactam sodium and oxacillin sodium were purchased from Sigma-Aldrich (St. Louis, MO). Sample Preparation-Free Drug. Free (protein-unbound) piperacillin and tazobactam were determined using centrifugal ultrafiltration (UF).(4,5) 300uL of plasma sample was centrifuged in Centrifree UF filters (30kD MWCO, Millipore) at 1500 x g for 30 min in a fixed-rotor centrifuge. Sample Preparation-Total Drug. The same sample was used for analysis of piperacillin and tazobactam. 20 µg of internal standard (IS, oxacillin) was added to 200 µL plasma, which was then drawn by vacuum through C18 solid-phase extraction (SPE) cartridges (Waters) previously conditioned with methanol (MeOH), then hydrated with 0.067M phosphate buffer, pH 7.4. Cartridges were washed with phosphate buffer (1 mL x 3) followed by 1 mL 5% MeOH in phosphate buffer. Analytes were eluted with 100 µL, then 150 µL acetonitrile (MeCN), evaporated under a stream of air, then reconstituted in 200 µL of the aqueous component of the mobile phase (0.1M phosphate buffer, pH 3.0). High-Performance Liquid Chromatography (HPLC). HPLC was performed with a Dionex 3000 HPLC system (Dionex, Thermo-Fisher Inc., Sunnyvale CA) with UV detection (wavelength = 210nm). A C18 stationary phase (Kinetix 75 x 4.6 mm, 2.6 µm/100A particles, Phenomenex) with mobile phase flow rate of 1 mL/min was used. Piperacillin and tazobactam were both determined on this system using two separate methods. Piperacillin. The chromatogram was developed isocratically using a mobile phase of 0.1M phosphate buffer, pH 3.0 and acetonitrile (75:25). Injection volume was 10µL and elution times were approximately 3.3 minutes (piperacillin) and 8.7 minutes (IS). Tazobactam. The mobile phase consisted of a gradient of 0.1% phosphate buffer, pH 3.0 and acetonitrile. Initial conditions consisted of 5% acetonitrile, which after 2 minutes was gradually increased to 50% over 10 minutes. Injection volume was 25µL and elution time was 2.3 minutes (tazobactam) and 10.2 minutes (IS). Validation of Methods. For each analyte, separate calibration curves were constructed for determination of free and total drug. Free drug measurements were calibrated against dilutions of drug stocks in mobile phase. For both drugs, five to seven calibration standards were prepared in parallel to samples by SPE (1-500µg/mL for piperacillin, 0.05-200µg/mL for tazobactam) or in buffer (1.25-500 µg/mL for piperacillin, 0.1-40µg/mL for tazobactam). These were used to construct calibration curves for total and free drug, respectively. Standards confirmed a linear response in these ranges between analyte:internal standard peak area ratio and analyte concentration (for total drug) or analyte peak area and analyte concentration (for free drug). A validation standard (50 µg/mL piperacillin, 10µg/mL tazobactam) was used to monitor accuracy between calibration runs. Within-/between-day variability was 1.1%/5.1% for 50 µg/mL piperacillin, and 3.8%/15.7% for 10 µg/mL tazobactam. 1. Denooz R, Charlier C. Simultaneous determination of five β-lactam antibiotics (cefepim, ceftazidim, cefuroxim, meropenem and piperacillin) in human plasma by high-performance liquid chromatography with ultraviolet detection. Journal of Chromatography B 2008;864(1– 2):161-67. 2. McWhinney BC, Wallis SC, Hillister T, Roberts JA, Lipman J, Ungerer JPJ. Analysis of 12 beta-lactam antibiotics in human plasma by HPLC with ultraviolet detection. Journal of Chromatography B 2010;878(22):2039-43. 3. Di Giovamberardino G, Ferrannini M, Testore GP, Federici G, Pastore A. High performance liquid chromatographic determination of plasma free and total tazobactam and piperacillin. Journal of Chromatography B 2009;877(1–2):86-88. 4. Bauer SR, Salem C, Connor MJ, Groszek J, Taylor ME, Wei P, Tolwani, AJ, Fissell, WH. Pharmacokinetics and Pharmacodynamics of Piperacillin-Tazobactam in 42 Patients Treated with Concomitant CRRT. Clinical Journal of the American Society of Nephrology 2012;7(3):452-57. 5. Millipore. User Guide: Centrifree® Ultrafiltration Devices, For Research and In Vitro Diagnostic Use [ cited 2013 October 31]; Available from: http://www.millipore.com/userguides/files/centrifugal/$file/PR03523TR_RevA_English.pdf Supplemental Table 1. Summary characteristics of the study subjects according to ARC score group (mean ± SD or median/IQR). ARC score group Low (0-6) High (7-11) 5 8 40.0% 75.0% 0.29 Age (years) 58.0 ± 21.0 36.4 ± 11.8 0.08 Piperacillin dose (mg/kg) 42.1 ± 10.5 47.3 ± 19.1 0.55 Tazobactam dose (mg/kg) 5.1 (4.3, 6.4) 5.1 (3.9, 7.2) 0.81 N receiving 4g/500mg 1 4 N receiving 3g/375mg 4 4 98.0 (93.1, 193.8) 132.3 (98.8, 187.6) 0.42 SOFA score 5.4 ± 3.0 5.6 ± 2.1 0.77 APACHE II score 15.0 ± 5.2 15.5 ± 5.6 0.94 Number of Subjects % Male eGFR (mL/min/1.73m2) P Supplemental Table 2. Differences in piperacillin fT>MIC (%) were significant across a range of MIC values (N=13). ARC ≤ 6 ARC ≥ 7 P Piperacillin MIC (µg/mL) 8 16 1 2 4 100.0 ± 0.0 97.9 ± 6.5 0.34 100.0 ± 0.0 94.2 ± 13.2 0.26 100.0 ± 0.0 79.2 ± 19.9 0.02 99.9 ± 0.09 61.9 ± 21.4 0.002 92.9 ± 7.1 37.0 ± 15.1 < 0.0001 32 64 70.3 ± 21.2 11.8 ± 12.2 0.002 22.6 ± 29.6 1.3 ± 3.5 0.18 Supplemental Table 3. Potential dosing regimens, predicted efficacy, and drug costs for intermittently-delivered alternative piperacillin dosing strategies for patients with high ARC scores (except where indicated). Interval Q4h Q6h Dose Probability of fT>MIC Daily Total Estimated Daily >50% (MIC 16 µg/mL) Piperacillin Drug Cost 2g 26.7% 12 g $20.04 3g 47.6% 18 g $30.06 4g 61.8% 24 g $40.08 6g 79.9% 36 g $60.12 3 g (low ARC score) 99.5% 12 g $20.04 4 g (low ARC score) 100.0% 16 g $26.72 3g 19.8% 12 g $20.04 3 g (4h infusion) 68.6% 12 g $20.04 4g 32.1% 16 g $26.72 4 g (4h infusion) 86.2% 16 g $26.72 6g 51.8% 24 g $40.08 8g 64.1% 32 g $53.44 Q8h 3 g (4h infusion) 59.0% 12 g $20.04 4 g (4h infusion) 73.0% 16 g $26.72 6g 26.1% 18 g $30.06 8g 37.2% 24 g $40.08 500 mg/h 46.0% 12 g $20.04 583 mg/h 53.7% 14 g $23.38 667 mg/h 59.6% 16 g $26.72 750 mg/h 64.9% 18 g $30.06 1000 mg/h 77.9% 24 g $40.08 Continuous