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Am J Kidney Dis. Author manuscript; available in PMC 2010 July 1.

Published in final edited form as:

Published online 2009 May 17. doi: 10.1053/j.ajkd.2009.03.008

PMCID: PMC2756662

NIHMSID: NIHMS128156

Lesley A Stevens, MD MS,^{1} Thomas D Nolin, PharmD PhD,^{2} Michelle M. Richardson, PharmD,^{1} Harold I. Feldman, MD, MSCE,^{3} Julia B Lewis, MD,^{4} Roger Rodby, MD,^{5} Raymond Townsend, MD,^{3} Aghogho Okparavero, MBBS MPH,^{1} Yaping (Lucy) Zhang, MS,^{1} Christopher H Schmid, PhD,^{1} and Andrew S Levey, MD^{1}^{*}, on behalf of the Chronic Kidney Disease Epidemiology Collaboration (CKD-EPI)

A list of the CKD-EPI investigators and collaborators appears at the end of this article.

Because an author of this manuscript is an editor for AJKD, the peer-review and decision-making processes were handled entirely by an Associate Editor (Kamal Badr, MD,_Lebanese American University) who served as Acting Editor-in-Chief. Details of the journal’s procedures for potential editor conflicts are given in the Editorial Policies section of the AJKD website.

The publisher's final edited version of this article is available at Am J Kidney Dis

See other articles in PMC that cite the published article.

Kidney disease alters the pharmacokinetic disposition of many medications, requiring dosage adjustment to maintain therapeutic serum concentrations. The Cockcroft-Gault equation is used for pharmacokinetic studies and drug dosage adjustments, but the MDRD Study equation is more accurate and more often reported by clinical laboratories than the Cockcroft-Gault equation.

Diagnostic test study.

Pooled dataset in 5,504 participants from 6 research studies and 4 clinical populations with measured GFR.

Estimated kidney function using the MDRD Study and Cockcroft-Gault equations incorporating actual (CG) or ideal body weight (CG_{IBW}) and standardized serum creatinine concentrations.

Measured GFR (mGFR) assessed by ^{125}I-iothalamate urinary clearance.

Concordance of assigned kidney function categories designated by the FDA Guidance for Industry for pharmacokinetic studies, and recommended dosages of 15 medications cleared by the kidneys.

Concordance of kidney function estimates with mGFR for FDA assigned kidney function categories was 78% for the MDRD Study equation compared to 73% for the CG equation (p<0.001) and 66% for the CG_{IBW} equation (p<0.001). Concordance between the MDRD Study equation and the CG and CG_{IBW} equations was 78% and 75%, respectively (p<0.001). Concordance of kidney function estimates with mGFR for recommended drug dosages was 88% for MDRD Study equation compared to 85% for CG equation (p<0.001) and 82% for the CG_{IBW} equations (p<0.001), with lower concordance when dosing recommendations for drugs included narrow GFR ranges. Concordance rates between the CG and CG_{IBW} equations and the MDRD Study equation were 89% and 88%, respectively (p<0.05).

Results based on simulation rather than pharmacokinetic studies. Outcome was drug dosage recommendations, rather than observed drug efficacy and safety.

The MDRD Study equation can also be used for pharmacokinetic studies and drug dosage adjustments. As more accurate GFR estimating equations are developed, they should be used for these purposes.

Impairment of kidney function alters the pharmacokinetics of many medications prescribed in both the acute and chronic settings. The *Guidance for Industry: Pharmacokinetics in Patients with Impaired Renal Function — Study Design, Data Analysis, and Impact on Dosing and Labeling* from the US Food and Drug Administration (FDA), published in 1998 and herein referred to as the FDA *Guidance for Industry*, recommends that pharmaceutical companies use the Cockcroft-Gault (CG) equation to estimate kidney function, which is incorporated in the design of pharmacokinetics studies and the development of drug dosing guidelines.^{1} The rationale for the use of the CG equation is that it was the most commonly used method for assessment of kidney function in clinical practice at the time.

The Modification of Diet in Renal Disease (MDRD) Study equation is now widely recognized as providing more accurate estimates of glomerular filtration rate (GFR) than the CG equation, and has been re-expressed for use with standardized serum creatinine, enabling consistent performance across clinical laboratories after standardization of serum creatinine assays, anticipated to be implemented in all U.S. clinical laboratories by the end of 2009.^{2}^{–}^{12} International and national organizations now recommend that clinical laboratories report estimated GFR when serum creatinine is ordered and the latest surveys from College of American Pathologists suggest that 70% of clinical laboratories in the United States are now reporting eGFR using the MDRD Study equation.^{13}^{–}^{19} Using these readily available GFR estimates would likely facilitate drug dosing decisions. However, many clinicians are reluctant to use them for this purpose because the FDA *Guidance for Industry*, and consequently dosing adjustments listed in product labels for most medications, recommends using the CG equation.

Many studies have compared drug dosing recommendations based on CG equation to those based on the MDRD Study equation^{20}^{–}^{24}, but none have compared these recommendations to those based on measured GFR in a large, clinically diverse population. The two objectives of this study were: 1) to compare kidney function categories as defined by the FDA *Guidance for Industry* using kidney function estimates based on the MDRD Study equation and CG equation using actual and ideal body weight to measured GFR and, 2) to compare differences in hypothetical recommended dosing of 15 medications that are cleared by the kidneys among 5,504 patients from 6 research and 4 clinical populations with diverse clinical characteristics.

The Chronic Kidney Disease Epidemiology Collaboration (CKD-EPI) is a research group that was formed to develop and validate improved estimating equations for GFR by pooling data from research studies and clinical populations (hereafter referred to as “studies”), which include individuals with diverse clinical characteristics, with and without kidney disease, across a wide range of GFR. Methods for identification of and inclusion criteria for these studies have been previously described.^{2} The population described in this study includes people whose measurements were used for equation development.

All studies measured GFR using urinary clearance of iothalamate. Serum creatinine assays were calibrated to the creatinine reference standard using Roche enzymatic method (Roche-Hitachi Module-P instrument with Roche Creatinine Plus assay; Roche Diagnostics, Indianapolis, IN) at the Cleveland Clinic Research Laboratory.^{2}.

Kidney function was estimated using the equations listed in Box 1. The MDRD Study equation was expressed for use with creatinine values standardized by isotope dilution mass spectrometry (IDMS). The CG equation cannot be re-expressed for use with IDMS-standardized creatinine values because to our knowledge the original serum creatinine samples are not available for calibration. Measured GFR and the MDRD Study equations are adjusted for body surface area (BSA) and are generally reported in ml/min/1.73 m^{2}.^{27} We converted these BSA-adjusted values by multiplying by each individual’s body surface area and dividing by 1.73 m^2 so that all were expressed in units of ml/min, the units of GFR that are expressed in the majority of FDA-approved drug dosing labels. Values for estimated GFR were rounded to the nearest whole number.

**The IDMS-traceable 4-variable MDRD Study equation**^{11}:

$$=175\phantom{\rule{thinmathspace}{0ex}}\times \phantom{\rule{thinmathspace}{0ex}}{{\mathrm{S}}_{\text{cr}}}^{-1.154}\phantom{\rule{thinmathspace}{0ex}}\times \phantom{\rule{thinmathspace}{0ex}}{\text{age}}^{-0.203}\phantom{\rule{thinmathspace}{0ex}}\times \phantom{\rule{thinmathspace}{0ex}}1.212\phantom{\rule{thinmathspace}{0ex}}[\text{if African American}]\phantom{\rule{thinmathspace}{0ex}}\times \phantom{\rule{thinmathspace}{0ex}}0.742\phantom{\rule{thinmathspace}{0ex}}[\text{if female}])$$

**The Cockcroft-Gault equation (CG)**^{25}:

$$=([140-\text{age}]\phantom{\rule{thinmathspace}{0ex}}\times \phantom{\rule{thinmathspace}{0ex}}\text{actual body weight}\phantom{\rule{thinmathspace}{0ex}}\times \phantom{\rule{thinmathspace}{0ex}}0.85\phantom{\rule{thinmathspace}{0ex}}[\text{if female}])/(72\phantom{\rule{thinmathspace}{0ex}}\times \phantom{\rule{thinmathspace}{0ex}}\text{SCr})$$

**The Cockcroft-Gault equation using ideal body weight (CG _{IBW}):**

$$=([140-\text{age}]\phantom{\rule{thinmathspace}{0ex}}\times \phantom{\rule{thinmathspace}{0ex}}\text{IBW}\phantom{\rule{thinmathspace}{0ex}}\times \phantom{\rule{thinmathspace}{0ex}}0.85\phantom{\rule{thinmathspace}{0ex}}[\text{if female}])/(72\phantom{\rule{thinmathspace}{0ex}}\times \phantom{\rule{thinmathspace}{0ex}}\text{SCr})$$

In CG_{IBW}, IBW was calculated as 50 kg + [2.3 kg × (Height in inches − 60)] for men and 45.5 kg + [2.3 kg × (Height in inches − 60)] for women. If actual body weight (ACT) was less then IBW, then ACT was used or if ACT exceeded IBW by more than 30%, then adjusted body weight (ABW) was used according to the following formula^{26}: ABW = IBW + [0.4 × (ACT − IBW)].

Abbreviations: ABW, adjusted body weight; ACT, actual body weight; CG, Cockcroft-Gault; CGIBW, Cockcroft-Gault equation using ideal body weight; IDMS, isotope-dilution mass spectrometry; MDRD, Modification of Diet in Renal Disease; SCr, serum creatinine.

To assess the consistency of the results among clinically relevant subgroups, comparisons were also performed according to subgroups. Clinical characteristics were categorized as follows: age (less than 40, 40–65, or greater than 65 years); sex; race (African American or other); diabetes (yes or no), prior organ transplant (yes or no); weight (less than 60, 60 to 90, or greater than 90 kg). Classification of race, diabetes status, and transplant status were based on the definitions used in each study.

Data were expressed using standard descriptive statistics (means and standard deviations or medians and interquartile ranges, as appropriate. Analyses were computed using Excel (Microsoft Office Excel 2003; Microsoft Corp, Redmond, WA) and SAS software (version, 9.1, Cary, NC).

The percentages of participants assigned to the kidney function categories recommended by the FDA *Guidance to Industry* (>80, 50–80, 30–49, or less than 30 ml/min), were calculated based on measured GFR and kidney function estimates from the three equations^{1}. Concordance and discordance for assignment of categories between measured GFR and each of the estimates were calculated as was concordance and discordance between the MDRD Study equation-derived estimates with the other two. Significance of the differences in concordance for the kidney function categories was tested using the McNemar’s and Jonckheere-Terpstra tests for binary and categorical data with more than two categories, respectively.

A simulation study was used to compare drug dosage recommendations for fifteen medications based on measured GFR and estimated kidney function. We did not include medications that are dosed primarily by serum levels or evidence of toxicity. The fifteen medications were selected for inclusion in the simulation study because they are commonly used in clinical practice, are cleared by the kidneys, and either have narrow therapeutic windows or are commonly associated with dosing errors or adverse drug events. The recommended doses of each of the fifteen medications were determined from the dosing recommendations in the package insert for measured GFR and the three estimates (table 1). The percentage that fell into the recommended drug dosing categories for each drug were calculated. Significance of the differences in recommended drug dosing was tested using the sign test.

The institutional review boards of all participating institutions approved inclusion of the data into the pooled dataset for these analyses.

The clinical characteristics of the 5504 participants included in the study population are shown in Table 2. The mean (SD) age of the cohort is 47 (15) years. Approximately a third of the cohort was African American, a similar number had diabetes and 5% were kidney transplant recipients. The mean (SD) measured GFR was 75 (44) ml/min; eGFR from the MDRD Study equation and estimated creatinine clearance from the CG and CG_{IBW} equations were 69 (38), 75 (42) and 62 (36) ml/min, respectively. All pair-wise comparisons between the values for estimated and measured GFR were significantly different from each other (p < 0.001). Table 2 shows the values for measured GFR as well as estimated kidney function using the three equations across subgroups.

Table 3 shows the concordance and discordance between each of the estimating equations and measured GFR with respect to the assigned kidney function categories defined in the FDA *Guidance to Industry*. The MDRD Study equation demonstrated the highest (78%), and the CG_{IBW} (66%) the lowest, concordance with measured GFR (p<0.001). The direction of discordance was different for the three equations. The CG equation assigned a higher kidney function category compared to measured GFR for 16% of people compared to 5% for CG_{IBW} equation, and 8% for the MDRD Study equation. Conversely, CG_{IBW} assigned a lower kidney function category in 29% of people compared to 12% for CG, and 14% for MDRD Study equation.

Concordance between kidney function categories assigned using measured GFR vs. estimated kidney function

The MDRD Study equation has the higher rate of concordance with measured GFR for all subgroups tested (Figure 1). Other than for transplant recipients, the CG equation had a higher rate of concordance with measured GFR than the CG_{IBW} equation. Large differences in concordance rates among equations were observed in many of the subgroups.

The CG equation was concordant with the MDRD Study equation in 78% of cases, while the CG_{IBW} had a slightly lower rate of concordance at 75% (p<0.001). When discordance was observed, the CG equation was more likely to predict assignment to a higher kidney function categories than the MDRD Study equation (16% higher kidney function category vs. 6% prediction of lower kidney function categories), and the CG_{IBW} equation was more likely to predict assignment to a lower kidney function category (22% lower kidney function category vs. 3% prediction of higher kidney function category). Among subgroups, the CG and CG_{IBW} equations both demonstrated variable rates of concordance with the MDRD Study equation (71 to 86% and 55 to 89%, respectively) (Figure 2).

Compared to measured GFR, the average concordance rate for the specific drug dosing recommendations was 88% for the MDRD Study equation compared to 85% for the CG equation (p<0.001), and 82% for the CG_{IBW} equation (p<0.001) (Table 4). Concordance for all equations was lower for drugs that have a greater number of kidney function categories for dose adjustment. As observed with the FDA-assigned kidney function categories, use of the CG equation was most likely to translate into higher recommended drug dosages, while the CG_{IBW} was most likely to translate into lower recommended drug dosages.

The concordance rate between the MDRD Study and CG equations was 89%, with the MDRD Study equation recommending lower drug dosages in 9% of the study population. The concordance rate between the MDRD Study and CG_{IBW} equations was 88%, the MDRD Study equation recommending higher drug dosages in 10% of the study population. Concordance was lower for drugs with a greater number of kidney function categories (ranging from 90% for drugs with two dosing levels to 81% with five dosing levels).

Accurate estimates of kidney function are essential for optimal dosing of drugs cleared by the kidney. Overestimates of kidney function may lead to administration of inappropriately large doses and possible toxicity, and conversely underestimates may lead to sub-therapeutic dosing, treatment failures, and prolonged illness. In this study, we demonstrated that the MDRD Study equation had the highest rate of concordance with measured GFR for both assignment of kidney function categories recommended by the FDA *Guidance for Industry* and adjustment of specific drug dosing. For specific drug dosing concordance rates among equations was high, with a lower concordance for drugs with greater number of dosing levels.

The CG equation, published in 1976, estimates creatinine clearance and therefore overestimates measured GFR due to creatinine secretion. Even after correcting for this overestimation, substantial imprecision remains.^{36} Modifications of the CG equation, such as the use of ideal body weight, were developed in an attempt to overcome the imprecision with the use of measured body weight. However, as shown here and previously, this modification results in substantially worse performance compared to measured GFR.^{37}^{–}^{39} Use of standardized serum creatinine leads to another source of error for the CG equation. In previous analyses of these same data, we demonstrated that the CG equation kidney function estimates were 11.4% higher than measured GFR with standardized creatinine compared to 2% higher with non-standardized values.^{2} Serum samples are not available to enable re-expression of the CG equation for standardized serum creatinine. Altogether, these considerations do not support continued sole reliance on the CG equation for estimating kidney function for drug dosing adjustments.

Our finding of 11 to 29% discordance between the MDRD Study and CG equations overall and in subgroups is consistent with some previous studies which have showed discordance rates between approximately 20 to 40% between the equations.^{20}^{–}^{24} Possible explanations for the variation in reported discordance rates may be related to true differences in accuracy of equations among study populations included in the different reports or to variations in the methods utilized to estimate kidney function (e.g. actual body weight vs. ideal body weight for the CG equation), units of kidney function (i.e. adjustment vs. no adjustment for body surface area), or presence or absence of calibration of the creatinine assay. Our results are also consistent with one study which compared carboplatin doses determined by nuclear imaging of the kidneys to doses calculated using estimates based on the MDRD Study and CG equations, and demonstrated that the MDRD Study equation resulted in more accurate dosing.^{40}

Strengths of our approach include a large and diverse population; inclusion of measured GFR determined by urinary clearance of ^{125}I-iothalamate as the gold standard; calibrated serum creatinine in all studies; standard units for all equations; and inclusion of medications representative of those commonly used in both inpatient and outpatient settings, and which have narrow therapeutic windows or are commonly associated with dosing errors or adverse drug events.

There are several limitations. First, the results presented here may not be fully applicable to other populations whose characteristics are different than the current study population. For example, in populations with a lower prevalence of CKD we would expect higher concordance rates since drug dosing adjustment is only relevant to patients with kidney disease. As such, our findings of differences among patients of different characteristics may reflect differences in level of GFR of the study participants, rather than patient characteristics, *per se*. However, this dataset is more diverse than prior studies, and the performance of the equations here may be more representative of their performance when applied in clinical practice than prior studies. Second, we have not considered the contribution of tubular reabsorption or secretion to renal clearance of drugs. However, pharmacokinetic studies do not measure tubular reabsorption or secretion directly, and tubular handling of creatinine is not likely to reflect tubular handling of many drugs, which are actively secreted by a number of transporters primarily along the renal proximal tubule.^{41} Third, our results are based on simulation rather than pharmacokinetic studies and we included only a sample of commonly used drugs. Finally, we used drug dosage recommendations as an outcome, rather than observed drug efficacy and safety.

All three equations are based on serum creatinine and, therefore, all suffer the same irremediable limitations of creatinine as a filtration marker. The serum level of creatinine is determined by factors other than the GFR, and in particular tubular secretion, muscle mass and diet, leading to bias in some populations and imprecision for all.^{42} This is particularly relevant for populations with reduced muscle mass, including the frail elderly, critically ill, or cancer patients,^{43} Finally, kidney function must be at a steady state to use any endogenous filtration markers, so estimates must be used cautiously in hospitalized patients.

Adjustment of drug dosages is the most common use of kidney function estimates, and these results have implications for prescriptions of both new and existing drugs. The MDRD Study equation is commonly used as a clinical tool for detection and stratification of kidney disease, is widely available to most clinicians, and currently provides the best approximation of measured GFR.^{16} Using the same estimate for drug dosing, as well as detection and evaluation of kidney disease, would likely facilitate clinical decision making and improve care. The stated intent of the FDA *Guidance for Industry* is to use measures of kidney function that are “used widely in patient care settings”, as such measures are “more practical than other alternatives” (*Guidance* page 6).^{1} For new drug development, we propose that pharmaceutical manufacturers use the MDRD Study equation for pharmacokinetic studies and in dosing recommendations listed in the product label. For drugs that are currently in use, it is neither practical nor feasible for pharmacokinetic studies to be repeated using the MDRD Study equation. We propose that either the MDRD Study equation or CG equation using actual body weight can be used for determination of drug dosage. If more accurate equations replace the MDRD Study equation for GFR estimation by clinical laboratories, then these equations should be used instead, and the FDA *Guidance for Industry* should incorporate this flexibility in its recommendations.

Currently, no equation provides accurate estimates for all patients. Clinicians must use available estimates together with their best judgment to determine drug dosing for individual patients, particularly for medications with a narrow therapeutic index or high toxicity. For individual patients in whom kidney function estimates from different equations vary substantially, the dose should be determined by weighing the risk of toxicity with a higher dose versus the risk of sub-therapeutic dose and treatment failure with a lower dose. If both risks are high, then it may be prudent to measure the GFR or creatinine clearance prior to administration of the medication. Indeed for such medications, it may be prudent to measure GFR or creatinine clearance in all patients at the extremes of muscle mass in whom all creatinine-based estimates are suspected to be inaccurate. For some drugs, monitoring of serum concentrations can minimize errors due to inaccurate dosage adjustment based on kidney function estimates (e.g., aminoglycosides, phenytoin, lithium). Implementation of computerized clinical decision support systems including automated drug dosing is becoming more common, making such individual assessments of kidney function feasible. Such systems will also easily incorporate more accurate equations as they become used in clinical practice, and would facilitate conversion of the MDRD Study equation derived estimates from units of ml/min per 1.73 m^{2} to units if ml/min as is recommended for drug dosing.

In conclusion, the MDRD Study equation had the higher concordance with measured GFR for recommended drug dosage than the CG equation. Concordance among equations was higher in the context of specific medications. Either the MDRD Study or CG equation could be used for drug dosage adjustments in most circumstances. Patients for whom estimated GFR from creatinine is likely to be inaccurate require careful consideration. Greater education is needed for physicians, pharmacists, industry and the public about CKD, and the interpretation of GFR estimates for use in drug dosing.

A list of the Investigators of CKD-EPI Aims 1 and 2, organized by institution, follows. Tufts Medical Center, Boston, MA: Andrew S. Levey, MD; Lesley A. Stevens, MD, MS; Christopher H. Schmid, PhD; and Yaping (Lucy) Zhang, MS. Cleveland Clinic Foundation, Cleveland, OH: Frederick Van Lente, PhD and Liang Li, PhD. University of Utah, Salt Lake City, UT: Tom Greene, PhD. John Hopkins University, Baltimore, MD: Josef Coresh, MD, PhD, MHS; Jane Manzi, PhD; Brad Astor PhD, MPH; and Elizabeth Selvin, PhD, MPH. University of Pennsylvania, Philadelphia, PA: Harold I. Feldman, MD, MSCE; J. Richard Landis, PhD and Marshall Joffe, MD, MPH, PhD. National Institute of Diabetes and Digestive and Kidney Diseases (NIDDK): John W. Kusek, PhD and Paul W. Eggers, PhD.

A list of the Collaborators of CKD-EPI Aim 1, organized by study, follows. African American Study of Kidney Disease and Hypertension (AASK): Gabriel Contreras, MD, MPH and Julia B. Lewis, MD. Captopril in Diabetic Nephropathy Study (CSG): Roger A. Rodby, MD and Richard D. Rohde, BS. Chronic Renal Insufficiency Cohort (CRIC): Harold I. Feldman, MD, MSCE; Lawrence J. Appel, MD, MPH; Jing Chen, MD, MS; Alan S. Go, MD; Lee Hamm, MD; Chi-yuan Hsu, MD; James P. Lash, MD; Akinlolu O. Ojo, MD; Mahboob Rahman, MD; Raymond R. Townsend, MD; Matthew R. Weir, MD; and Jackson T. Wright, MD. Cleveland Clinic Foundation (CCF): Phillip Hall, MD and Emilio Poggio, MD. Diabetes Control and Complications Trial (DCCT): Saul Genuth, MD and Michael W. Steffes, MD, PhD. Diabetic Renal Disease Study Group (DRDS): Robert G. Nelson, MD, PhD. Mayo Clinic: Andrew D. Rule, MD, MS; Timothy Larson, MD; and Fernando Cosio, MD. Modification of Diet in Renal Disease (MDRD) Study: Gerald Beck, PhD.

*Support:* CKD-EPI is funded by grants from the NIDDK as part of a cooperative agreement in which the NIDDK has substantial involvement in the design of the study and the collection, analysis, and interpretation of the data. The NIDDK was not required to approve publication of the finished manuscript. Dr Stevens receives research support from the NIDDK, the Paul Teschan Fund, Gilead, and the National Kidney Foundation (NKF). Dr Feldman receives research support from the NIDDK and Amgen. Dr Lewis receives research support from Hoffmann-LaRoche, Theravance Inc, Sanofi, and Bristol-Myers Squibb. Dr Townsend receives research support from the NIDDK. Dr Schmid receives research support from the NIDDK, Agency for Healthcare Research and Quality (AHRQ), the National Center for Research Resources (NCRR), the National Heart, Lung and Blood Institute (NHLBI), the Centers for Disease Control and Prevention (CDC), and Pfizer. Dr Levey receives research support from the NIDDK, Amgen, and the NKF.

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*Financial Disclosure:* None.

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