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Antimicrobial Agents and Chemotherapy, August 2004, p . 2911-2917, Vol . 48, No . 8 Estimation of Serum-Free 50-Percent Inhibitory Concentrations for Human Immunodeficiency Virus Protease Inhibitors Lopinavir and RitonavirDean Hickman,* Sudthida Vasavanonda, George Nequist, Lynn Colletti, Warren M . Kati, Richard Bertz, Ann Hsu, and Dale J . Kempf Global Pharmaceutical Research and Development, Abbott Laboratories, Abbott Park, Illinois Received 27 May 2003/ Returned for modification 7 August 2003/ Accepted 19 April 2004
Lopinavir (LPV) is a potent human immunodeficiency virus (HIV) protease inhibitor (PI) that is widely used for the therapeutic treatment of HIV infection as a coformulated combination with ritonavir (RTV), another PI that also enhances LPV levels in plasma by virtue of its inhibition of cytochrome P450-mediated metabolism (15, 28) . Previous studies have shown that LPV and RTV are extensively bound to both albumin and AGP (19; A . Hsu, R . Bertz, D . Hickman, M . Emery, G . Kumar, J . Denissen, S . Vasavanonda, A . Molla, D . Kempf, G . R . Granneman, and E . Sun, 8th Conf . Retrovir . Opportunist . Infect., abstr . 753, 2001) . Thus, the free fractions of LPV and RTV in HIV-infected patient plasma, determined by ultrafiltration, are 1.12 ± 0.21% and 1.99 ± 0.20%, respectively (Hsu et al., 8th Conf . Retrovir . Opportunist . Infect.) . For an estimation of the effect of serum binding on the in vivo antiviral activity of LPV and RTV, the in vitro potency of each drug in a medium consisting of 10% fetal calf serum (FCS) and 50% heat-treated human serum (HS) in RPMI 1640 medium has been determined (19) . Upon the addition of 50% HS, the mean 50% inhibitory concentration (IC50) of LPV increased from 17 to 93 nM and that of RTV increased from 68 to 1,340 nM (19) . However, the relatively modest attenuation of the activity of LPV (ca . six- to sevenfold) was lower than was anticipated based on the free fraction in human plasma, calling into question the relevance of in vitro assays that utilize 50% HS . More generally, all currently available PIs except indinavir (IDV) are bound extensively to albumin and/or AGP, and the addition of HS or purified albumin or AGP attenuates the in vitro antiviral activity of these PIs to various degrees (3, 4, 17, 19) . Clinical data also support the attenuation of potency by protein binding in vivo (5, 10) . Assessing the effect of serum binding on the activity of PIs is essential for accurate estimations of the inhibitory quotient (IQ) . Originally envisioned as a pharmacodynamic model for the in vivo activity of antibacterial agents (8), the IQ has been adapted for PIs as the minimal total drug concentration in plasma (Ctrough)/IC50 ratio . The IQ has been shown to be predictive of the virologic response to PI-based antiretroviral therapy (13, 29); however, there is wide disagreement on the optimal method for estimating the IQ based on in vitro assays (2, 20, 26) . In vitro tissue culture assays maximally tolerate ca . 50% HS and may thus underestimate the effect of serum binding . In addition, the degree of attenuation of activity following the exogenous addition of purified serum proteins at physiological concentrations sometimes differs from that observed with HS . Furthermore, the effect of binding to the 10% FCS present in the culture medium has generally been ignored, even though the free fraction of different drugs may vary widely . Finally, disease, age, and other altered physiological states can often result in altered plasma compositions, the effect of which is difficult to assess in vitro . Consequently, there is a need for a standardized method for accurately assessing the relationship of in vitro activity and the IQ by quantitatively accounting for serum binding . Theoretically, the determination of in vitro antiviral activity in a serum-free environment (IC50,free) coupled with the direct measurement of the free fraction in individual patient plasma samples should improve estimates of individual IQs, provided that only free drug is active . However, the in vitro IC50,free of PIs cannot be determined directly because FCS is required in the tissue culture medium to promote cell growth . Therefore, we have investigated a novel approach for quantitatively estimating the IC50,free of LPV and RTV that can be applied to other PIs and to many other classes of pharmaceutical compounds . This approach imputes IC50,free based on experimentally observed IC50 values (IC50,total) and free fractions for an appropriate concentration range .
Protein binding. FCS was combined with RPMI 1640-PS solution to prepare test media with 5, 10, 20, and 50% FCS, exactly analogous to the antiviral assay . Appropriate aliquots of the stock solutions were added to the FCS-medium aliquots to give initial [14C]LPV and [14C]RTV concentrations of approximately 0.1, 1.0, and 10.0 µg/ml . The spiked FCS aliquots were equilibrated for 15 min at 37°C before being loaded into dialysis cells . At least 2 ml of each spiked medium was incubated at 37°C for 3 h during the course of equilibrium dialysis . One milliliter was extracted and characterized by high-performance liquid chromatography to determine the drug stability in the test medium . The binding affinities of [14C]LPV and [14C]RTV were determined with an equilibrium dialysis system (Spectrum Medical Industries, Los Angeles, Calif.) using 1-ml cells and a Spectra/Por 2 membrane with a molecular mass cutoff of 12,000 to 14,000 Da . Before being used, the membranes were soaked in distilled water for at least 15 min and then in 30% aqueous ethanol for 20 min . After being rinsed to remove the residual ethanol, the membranes were placed in the dialyzing medium (5, 10, 20, or 50% 0.02 M phosphate buffer [pH 7.4], containing 0.6% NaCl, in RPMI 1640-PS medium) for at least 15 min . The membranes were then placed between the two cell halves, and the cells were placed into the carrier . Triplicate cells were filled with dialyzing medium on the right side and with 5, 10, 20, or 50% FCS (about 1 ml)-containing [14C]LPV or [14C]RTV on the left side . The cell carrier was rotated at about 20 rpm for 3 h in a water bath maintained at approximately 37°C . Preliminary experiments established that equilibrium was attained in human plasma by 3 h (data not shown) . At the end of the designated time interval, samples were removed from each side of the cells and saved for radioassays . The solutions were added to and removed from the cells via PE10 tubing attached to a 30-gauge needle and a 1-ml syringe .
Duplicate aliquots of all FCS and dialyzing medium samples were assayed directly in Insta-Gel (Packard) scintillation cocktail and counted in a Tri-Carb (Packard) model 2500TR liquid scintillation analyzer . Correction for quenching was done by automatic external standardization . The protein binding was calculated according to the following formula:
Determination of IC50 of LPV and RTV against wild-type HIV-1 (MTT-MT4 tissue culture system) . Anti-HIV activity was assessed with the IIIB strain of wild-type HIV type 1 (HIV-1) in MT4 cells in media containing 5, 10, 20, and 50% FCS (identical to the media described above) . The inhibition of HIV-1IIIB was measured in MT4 cells with a multiplicity of infection (MOI) of 0.003, using 3-(4,5-dimethylthiazol-2-yl)-2,5-diphenyltetrazolium bromide (MTT) uptake as a measure of the HIV-induced cytopathic effect (19, 24) . IC50 values for each of the four FCS concentrations were determined in two sets of six-replicate measurements .
Determination of Ki of LPV and RTV for wild-type HIV-1 protease.
Various concentrations of PIs were preincubated at room temperature with 5 nM recombinant HIV-1 protease for 10 min in a buffer consisting of 50 mM HEPES (pH 7.0), 125 mM potassium acetate, 1 mM dithiothreitol, 1 mM EDTA, 0.25 mg of bovine serum albumin/ml, and 5% dimethyl sulfoxide in a white 96-well plate . Reactions were initiated by the addition of the fluorogenic substrate (3.5 µM final concentration) DABCYL-GABA-Ser-Gln-Asn-Tyr-Pro-Ile-Val-Gln-EDANS (18) . The fluorescence changes were monitored for 30 min at room temperature by use of a Fluoroskan II plate reader equipped with a 355 nm-485 nm filter pair . Initial velocities were plotted against inhibitor concentrations and fit to the following equation (22) by nonlinear regression to establish the Ki values:
where A =
We also investigated whether the IC50,free provides a more accurate assessment of the inherent potency of PIs than the IC50,total . To this end, we determined the Kis of LPV and RTV for purified HIV protease at pH 7.0 by using a fluorogenic assay . For comparison, we measured the Ki of IDV, a PI that is only ca . 60% bound in human plasma (1) and is likely to be largely unbound in culture medium containing only 10% FCS (hence, we assume that the IC50,total reasonably approximates the IC50,free) . The ratio of IC50,total (measured with 10% FCS) to Ki varied widely among the three PIs (range, 68 for IDV to 2,070 for LPV) (Table 3), suggesting that there is no strong correlation between the inherent enzymatic inhibitory potency and the IC50,total . In contrast, the IC50,free/Ki ratios for LPV and RTV were remarkably similar (84 and 28, respectively) to the IC50,total/Ki ratio of IDV (68) (Table 3) . These results provide additional evidence that only the free concentration of PIs contributes to their antiviral activity .
The results presented here resolve the apparent inconsistency between measurements of the free fractions of PIs in human plasma and the observed attenuation of in vitro activity upon the addition of HS to the tissue culture medium . For example, LPV is >98% bound in human plasma, but its potency is only affected ca . sevenfold in the presence of 50% HS (18) . However, the inconsistency in these findings is based on the assumption that binding by the 10% FCS present in the assay medium that does not contain HS is insignificant . The present study demonstrates that PIs can be substantially bound by relatively small amounts of FCS (0.1 µg of LPV or RTV/ml is ca . 96 and 94% bound, respectively, in 10% FCS) . Consequently, the observed shift in IC50 between "low serum" (i.e., 10% FCS) and "high serum" (10% FCS plus 50% HS) conditions reflects the incremental change in free fractions between the two experimental conditions . The free fraction of LPV in 10% FCS measured in this study (3.9%) is approximately sixfold higher than that observed in medium containing 10% FCS plus 50% HS (0.65%) (Hsu et al., 8th Conf . Retrovir . Opportunist . Infect.), which is entirely consistent with the observed change in IC50 . These results also indicate that IC50 values determined in 50% HS plus 10% FCS are a relatively reliable approximation of the serum-adjusted activity of these PIs, since the free fractions in the above medium are not expected to differ greatly from the free fractions in 100% human plasma . In contrast, IC50 values determined without HS (but by necessity in the presence of FCS) may vary widely for inhibitors of similar biochemical potencies (e.g., for PIs, the inhibition of HIV protease activity) partly because of large differences in free fractions in the presence of FCS . These IC50 values are therefore of limited utility in assessing in vivo potency unless the free fraction under the conditions of the assay is measured and taken into account . Likewise, the addition of purified HS proteins, e.g., AGP and albumin, provide information on the relative impact of these proteins on the in vitro IC50 . However, without a measure of the free fraction, the extrapolation of in vitro activity to the estimation of in vivo potency may not be quantitative . Our results suggest that for a particular in vitro assay system, the product of the measured IC50 and the free fraction under any set of conditions (using either HS, FCS, or purified serum proteins) will give approximately the same estimated serum-free IC50 . The substantial binding of PIs to FCS also partially accounts for the discrepancy observed between the biochemical potency (Ki for HIV protease inhibition) and virological activity (IC50 in vitro) . The often large difference between these values, which are based on the IC50,total, can vary substantially among different PIs (Table 3) and has generally been ascribed to limited cellular penetration . However, the IC50,free/Ki ratios for LPV and RTV (Table 3) are essentially equivalent to the IC50,total/Ki ratio for IDV, a largely unbound drug, indicating that a substantial portion of the potency gap between the biochemical and virological assays is due to binding by FCS . Thus, determination of the serum-free IC50 values provides insight into the mechanism of the antiviral activity of PIs . The remainder of the difference between Ki and IC50,free values was relatively similar for the three PIs examined (28- to 84-fold) and is presumably a combination of cellular penetration, differences in substrate and assay conditions, and the fact that more or less than 50% inhibition of HIV protease activity may be necessary for a 50% inhibition of viral replication . The consistency of IC50,free/Ki ratios across multiple PIs additionally suggests that the free concentration is wholly responsible for the PI antiviral activity . The present results provide a pharmacologically relevant method for estimating the IQs of PIs . Previously, we demonstrated that the average IQ, as estimated by the ratio of Ctrough to IC50 (determined in 10% FCS plus 50% HS), is associated with the virologic efficacy of PIs (13, 29) . The present method can account for intersubject variability in the free fraction, particularly in special populations with altered serum compositions (14, 21, 25), and allows for the estimation of individual patient IQs, if desired . The mean IQ values for LPV in patients with wild-type HIV calculated by this method are 67 and 52, with and without regard to food, respectively, and the mean IQ for RTV (600 mg BID) in patients is 5.6, with or without food . These values are similar to those that were previously calculated based on the IC50 determined in 10% FCS plus 50% HS (78 and 3.9, respectively) . Thus, mean IQ values based on IC50 values determined with 50% HS have been providing a relatively realistic estimation of in vivo efficacy . The pharmacokinetic-pharmacodynamic approach provided by the IQ model presented here, using the determination of the serum-free IC50, is complementary to Emax models that have been applied to the exposure-response relationships of many drugs, including HIV PIs (11, 12, 27, 30) . Emax approaches for antiretroviral therapy suffer from certain limitations, however . If bioavailability is limited, the maximal effect of the dose-response curve may not be achieved (30) . With potent drugs that produce large decreases in the viral load (i.e., high Emax), the maximal effects may be underestimated by the sensitivity of the viral load assay or by the limited decay rate of plasma HIV RNA during initial therapy . Moreover, an accurate determination of the in vivo 50% effective concentration requires treatment with monotherapy, at least over the short-term, which may not be practical for compounds with low genetic barriers to resistance . The IQ model potentially provides a complementary approach to characterizing pharmacokinetic-pharmacodynamic relationships, particularly for drugs with average levels in plasma that produce a maximal effect (e.g., boosted PIs), when estimation of the 50% effective concentration is not possible . Given our inability to cure HIV infections because integrated proviral DNA is capable of producing infectious RNA (9), a more complete suppression resulting from high therapeutic concentrations, although not easily measured in short-term studies, could significantly impact the durability of the response (7, 16) . Finally, since it is based on in vitro and pharmacokinetic data (the latter of which may be estimated by using preclinical data), the IQ model may be useful for the evaluation of potential candidate compounds prior to clinical development . The calculation of IQ by using the serum-free IC50 suffers from several limitations as well . In this study, we have used equilibrium dialysis, which gives a 1.7-fold lower free fraction than ultrafiltration (data not shown), illustrating the challenge in accurately determining the free fraction of highly bound drugs and the importance of consistency in the method employed . In addition, the IC50,free was determined by using a particular tissue culture assay . At constant serum levels (e.g., 10% FCS), in vitro assays that use different cell lines, different wild-type variants of HIV, different detection methods, and different replication systems (e.g., single versus multiple replication cycle) can produce substantially different IC50 values for a given inhibitor . In the model presented here, we have used the MT4-MTT assay (24), which uses a relatively high MOI . As such, this assay might provide a more realistic assessment of in vivo potency, as the MOI values may be large in vivo . Because of the high MOI, this assay generally produces observed IC50 values that are higher than those from some other assays, for example, single-cycle assays that are routinely used for HIV resistance testing (6) . Thus, the IQ model based on this assay is conservative in that it provides a lower estimate of drug potency than many other models . Regardless of the in vitro assay employed for the calculation of the IQ, it is of utmost importance that the method be standardized to allow for comparisons of different agents and subsequently validated with clinical data . The correlation of the clinical response to LPV-RTV and IDV-RTV combinations in PI-experienced patients with the IQ of the PI suggests that this conservative model is useful for understanding PI pharmacodynamics (13, 29) . However, this method may be less applicable to drugs that undergo intracellular metabolism to active forms (such as nucleoside reverse transcriptase inhibitors) . For such drugs, differences in the intracellular half-life can impact the in vivo potency in ways that may not be reflected in vitro . In summary, we have described a general method for quantitatively assessing the effect of serum binding on the activity of HIV protease inhibitors . Binding to serum proteins has previously been shown to be clinically relevant for this class of compounds (3, 4, 5, 10, 17) . The present results confirm that it is only the free fraction of these agents that is active . This method also provides a quantitative approach for the comparison of IQ values for different PIs and allows for the assessment of in vivo potency within individual patients . Finally, this method provides a framework for the evaluation of other classes of drugs that are bound by serum proteins but require the presence of serum for in vitro evaluation .
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