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Published Online, 11 July 2006, www.theannals.com, DOI 10.1345/aph.1G635.
The Annals of Pharmacotherapy: Vol. 40, No. 7, pp. 1248-1253. DOI 10.1345/aph.1G635
© 2006 Harvey Whitney Books Company.
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NEPHROLOGY

Comparison of the Modification of Diet in Renal Disease and Cockcroft-Gault Equations for Antimicrobial Dosage Adjustments

Kurt A Wargo, PharmD BCPS

Clinical Assistant Professor of Pharmacy Practice, Harrison School of Pharmacy, Auburn University, Huntsville, AL

Edward H Eiland III, PharmD BCPS CGP

Medical Intensive Care Clinical Pharmacist, Huntsville Hospital, Huntsville

Wayne Hamm, PharmD

Clinical Education Consultant, Pfizer, Inc., Helena, AL

Thomas M English, MS

University of Alabama-Birmingham, Huntsville Regional Medical Campus, Huntsville

Haley M Phillippe, PharmD Student

Harrison School of Pharmacy, Auburn University

Reprints: Dr. Wargo, 301 Governors Dr. SW, Suite 230-N, Huntsville, AL 35801-5123, fax 256/551-4542, wargoka{at}auburn.edu


    Abstract
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 Abstract
 Methods
 Results
 Discussion
 Conclusions
 References
 
BACKGROUND: Direct measurement of glomerular filtration rate (GFR) is considered to be the most accurate method of assessing kidney function, albeit difficult and costly. With the derivation of the Modification of Diet in Renal Disease (MDRD) equation to estimate GFR in patients with chronic kidney disease, questions exist as to whether this method should be preferred over the Cockcroft-Gault (CG) equation when making dosage adjustments for renally eliminated antimicrobials.

OBJECTIVE: To determine whether a difference exists when making antimicrobial dosage adjustments in patients with chronic kidney disease based on estimation of GFR using the MDRD and CG equations.

METHODS: We conducted an observational analysis of 409 patients with chronic kidney disease who were admitted to a tertiary care facility with an inpatient dialysis center and nephrology unit. GFR was calculated using both the 4- or 6-variable MDRD equation and the CG equation and compared using correlation and Bland-Altman methodology. Dosage discordance rates of the selected antimicrobials were determined on the basis of manufacturer renal dose recommendations.

RESULTS: Average ± SD GFR for all patients using the CG equation was 34.8 ± 12 mL/min and, using the MDRD equation, was 40.2 ± 12 mL/min (absolute mean difference 5.40; 95% CI 4.66 to 6.15; p < 0.001). The correlation coefficient between the 2 estimations, among all patients, was excellent (r = 0.80). The Bland-Altman plot yielded limits of agreement of -9.8 and 20.6; thus, the MDRD estimation may range from 9.8 mL/min below to 20.6 mL/min above the CG estimation for 95% of the cases. A discordance rate of 21-37% (p < 0.001) existed among the recommended dosing adjustments of the selected antimicrobials.

CONCLUSIONS: This analysis demonstrated statistically significant differences between the CG and MDRD equations, resulting in different dosing recommendations in 21-37% of patients. The clinical significance of these differences is uncertain in the absence of data regarding clinical outcomes that would result from the use of the discordant doses.

Key Words: Cockcroft-Gault, dosing, Modification of Diet in Renal Disease, renal

Published Online, July 11, 2006. www.theannals.com, DOI 10.1345/aph.1G635


The worldwide incidence and prevalence of chronic kidney disease is increasing. Approximately 19 million adults in the US suffer from chronic kidney disease, with an estimated 80 000 people being diagnosed annually.1,2 Kidney disease is the ninth leading cause of death in the US.3 Because this disease often goes undiagnosed and consequently untreated, the National Kidney Foundation/Kidney Disease Outcomes Quality Initiative established guidelines in 2000 to aid in the diagnosis and appropriate classification associated with the progression of chronic kidney disease.4 The stages of chronic kidney disease are described based on the level of kidney function, defined as the glomerular filtration rate (GFR).

While the GFR is the most accurate measure of kidney function, it is difficult and can be quite costly to measure directly and accurately.5 Therefore, in clinical practice it is customary to estimate the GFR based on serum creatinine concentration, using the Cockcroft-Gault (CG) equation. In March 1999, a new equation for the measurement of GFR, derived from the Modification of Diet in Renal Disease (MDRD) study, was found to provide a significantly more accurate estimation of the GFR than other commonly used equations.6 Because of this finding, questions exist as to whether this method should be used exclusively, replacing the CG equation when estimating renal function in patients with chronic kidney disease.7

Major differences exist between the MDRD and CG equations for estimating renal function.8 One difference is that the 6-variable MDRD equation takes into account 3 biochemical markers: serum creatinine (SCr), serum albumin, and blood urea nitrogen (BUN). Because not all patients routinely have these laboratory values obtained, an abbreviated version was developed to allow for simplicity in calculation, which includes only 4 variables that are more readily available.1 Both the 6- and 4-variable equations are based on body surface area (BSA); therefore, height and weight are not needed for calculation. A final difference between the MDRD and CG equations is that the MDRD accounts for ethnicity.9

One of the major responsibilities of pharmacists involves making drug dosing adjustments based on renal function. Therefore, it is increasingly important that an equation that accurately estimates renal function is used to provide the most optimal drug dosing recommendations. While the MDRD equation has many advantages, it needs further validation, particularly to determine whether statistically significant differences translate into clinically significant modifications of drug dosing in patients with chronic kidney disease. In addition, manufacturer renal dosing recommendations for medications are based on CG estimates of renal function. Therefore, it is unclear what impact estimation of GFR with the MDRD equation will have on making these dosage adjustments. Thus, the purpose of this study was to determine whether a difference exists when determining antimicrobial dosage adjustments in patients with chronic kidney disease, based on estimation of GFR using the MDRD and CG equations.


    Methods
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 Abstract
 Methods
 Results
 Discussion
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This observational analysis was approved by the institutional review board and conducted at an 881 bed tertiary care facility. The analysis was conducted over the 5 month period from May to September 2005. Patients were recruited using a search engine to identify those admitted with an SCr level of 1.3-3 mg/dL. Patients were included in the analysis if they were identified by physician documentation as having chronic kidney disease and were classified as having chronic kidney disease stage 3 (GFR 30-59 mL/min), 4 (15-29 mL/min), or 5 (<15 mL/min), using the MDRD equations. Exclusion criteria included acute renal failure, defined as an elevation in SCr of 0.5 mg/dL from baseline or from physician documentation; end-stage renal disease with dialysis; chronic kidney disease stages 1 or 2; and race other than white or black.

Estimation of GFR was performed using the 6-variable MDRD equation when all variables were present: GFR = 170 x (SCr)-0.999 x (age, y)-0.176 x 0.762 (if female) x 1.18 (if black) x (BUN)-0.17 x (albumin)+0.318 and the 4-variable equation when missing one or more variables: GFR = 186.3 x (SCr)-1.154 x (age, y)-0.203 x 1.212 (if black) x 0.742 (if female). The decision to use the simplified 4 variable equation was made based on evidence presented in the National Kidney Foundation guidelines.4 The estimated GFR was then multiplied by the ratio of actual body surface area (BSA) to 1.73 m2 to determine the patient-specific GFR in mL/min. Individual patient BSA was calculated using the following equation: BSA = (weight, kg)0.425 x (height, cm)0.725 x 0.007184.10 The CG estimation of renal function was used as the comparator equation: [(140 — age) x body weight x 0.85 (if female)]/(72 x SCr). In the CG equation, the lower of actual body weight or ideal body weight (IBW) or an adjusted weight, for patients whose actual body weight exceeded their IBW by more than 30%, was used in the calculation. Adjusted body weight was determined by the equation [(actual body weight - IBW) x 0.4] + IBW.

To determine the presence of a difference when making antimicrobial dosage adjustments, dosing discordance rates among 8 commonly used antimicrobials with specific manufacturer dosing recommendations in renal impairment, based on estimation of renal function using the CG equation, were selected: cefazolin, cefepime, daptomycin, gatifloxacin, levofloxacin, meropenem, piperacillin/tazobactam, and trimethoprim/sulfamethoxazole (Table 1).11


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Table 1. Manufacturer-Recommended Renal Dosing for Selected Antimicrobials11

 

STATISTICAL ANALYSIS
Data were compiled using Microsoft Access, and statistical testing was completed using Minitab (Minitab, 1998). Using the single proportion sample size measurement, 247 patients were needed to detect a 20% discordance rate with a 95% CI. Comparison of continuous variables was performed by using paired t-test, and dichotomous variables were compared using the {chi}2 test as appropriate. ANOVA general linear model was used to compare the absolute differences in renal function estimates using ethnicity (African American or white) and sex as factors and age as a covariate. Linear regression was incorporated to evaluate correlations between continuous variables as appropriate. The Bland-Altman method was used to assess agreement between the MDRD and CG estimations of renal function,12,13 and {chi}2 analysis was used to detect a difference in dosing discordance data. Level of significance was set as p < 0.05. Data are presented as means (range) for continuous variables, as a number for dichotomous variables, and 95% CIs are reported as appropriate.


    Results
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 Methods
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 Discussion
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A total of 409 patients were eligible for evaluation in this analysis (Table 2). The mean ± SD age of the cohort was 73.4 ± 12.5 years. Patients were evenly distributed based on gender, with the exception of SCr, which was higher in males than in females (p < 0.01). There was a preponderance (81%) of white subjects in the cohort studied. Mean weight was 80 ± 23 kg, BSA was 1.90 ± 0.26 m2, BUN was 35 ± 16 mg/dL, and SCr was 1.75 ± 0.5 mg/dL. Among the cohort of patients sampled, 46% weighed within 30% of their IBW, 36% of patients exceeded their IBW by greater than 30%, and another 18% of patients weighed less than their IBW.


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Table 2. Demographics

 

The average creatinine clearance, using the CG equation, for all patients was 34.8 ± 12 mL/min, whereas the average GFR using the MDRD equation was 40.2 ± 12 mL/min (Table 3). The absolute mean difference between the 2 estimations was 5.40 (95% CI 4.66 to 6.15; p < 0.001), and the standard deviation was 7.6. Estimation of GFR, using the 4 variable MDRD equation, was done in 25% of the patients. Factors that predicted significant differences in results included ethnicity (p < 0.001), sex (p < 0.001), and age (p < 0.001). An expected relationship was noted between age and CG estimation such that increased age was associated with lower GFR. A similar, yet weaker, relationship was found for the MDRD GFR estimation.


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Table 3. Mean Differences in CG and MDRD Equations Based on Demographicsa

 

A correlation coefficient was determined for the relationship of between calculated GFR using the MDRD and CG equations among the patients evaluated (Figure 1). Excellent correlation existed (r = 0.80) among all patients (Figure 1a). When comparing the 2 estimates of GFR using the method described by Bland and Altman,12,13 the difference in values was plotted against the mean for the 2 methods to determine the variability between them. The limits of agreement were 20.6 and -9.8; thus, the MDRD estimation may be 9.8 mL/min below or 20.6 mL/min above the CG estimation for 95% of the cases (Figure 1b). For the lower limit of agreement, the confidence interval was -11.1 to -8.5 mL/min and, for the upper limit, 21.9 to 19.3 mL/min.


Figure 1
Figure 1
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Figure 1. Comparison of MDRD and CG estimation of renal function for the study population using correlation (1a) and Bland-Altman plot (1b), (N = 409). CG = Cockcroft-Gault; GFR = glomerular filtration rate; MDRD = Modification of Diet in Renal Disease.

 
Antimicrobial dosage discordance rates were calculated to evaluate the difference between the estimations of renal function (Figure 2). It was determined that an overall discordant rate of 20-36% existed between the recommended dosing adjustments of the selected antimicrobials, which was statistically significant (p < 0.001). The 6 variable MDRD equation discordant rate mirrored the overall discordant rate; however, wide variation existed when the 4 variable MDRD equation was compared with the CG equation. The majority of overall discordance existed when the manufacturer recommended a dosage adjustment according to CG estimation, yet that particular level of dosage adjustment was unnecessary according to estimation by the MDRD equation. For the individual antimicrobials, this occurred in 74 patients who would have received cefazolin, daptomycin, or trimethoprim/sulfamethoxazole; 75 gatifloxacin; 89 levofloxacin; 95 cefepime; 97 piperacillin/tazobactam; and 122 who would have received meropenem. Far less discordance existed when a dosage adjustment was recommended according to estimation by the MDRD equation, yet that particular level of dosage adjustment was unnecessary according to manufacturer's recommended dosage adjustment using the CG equation. This occurred in only 9 patients who would have received cefazolin, daptomycin, or trimethoprim/sulfamethoxazole; 11 gatifloxacin; 18 levofloxacin; 14 cefepime; 13 piperacillin/tazobactam; and 26 patients who would have received meropenem.


Figure 2
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Figure 2. Antimicrobial dosage discordance rate when comparing the 6- and 4-variable MDRD estimations of GFR with the manufacturer-recommended dosage adjustment using CG estimation. CG = Cockcroft-Gault; GFR = glomerular filtration rate; MDRD = Modification of Diet in Renal Disease; Pip/Tazo = piperacillin/tazobactam; Trim/Sulfa = trimethoprim/sulfamethoxazole.

 

    Discussion
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 Abstract
 Methods
 Results
 Discussion
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One well recognized component of clinical pharmacy involves renal dose adjustment of pharmacotherapy. The Pharmacy and Therapeutics committee at our institution has approved the right of clinical pharmacists to adjust drug dosages based on FDA-approved manufacturer recommendations. This dosing modification may be done without prior approval from the physician. Therefore, having an accurate estimation of renal function is of the utmost importance and has much clinical relevance. Although urine output, nutritional status, and severity of illness play a key role in this estimation, having an equation to estimate the kidney function at the patient's bedside is a critical tool of the practicing clinician. To facilitate this process, our institution has implemented a procedure to report GFR (based on the 4 variable MDRD) on all patients admitted, regardless of renal status, age, race, or BSA. However, it is important to recognize that, to date, there are no studies reported that have evaluated the clinical utility of the MDRD equation for making dosage adjustments of renally eliminated medications.

The findings presented in this analysis demonstrate the existence of a statistically significant difference between the MDRD and CG estimations of renal function. Even though a strong correlation existed when evaluating our entire cohort of patients, the Bland-Altman method for assessing agreement demonstrated a wide variation between the 2 estimations. Furthermore, based on the method chosen to estimate GFR, antimicrobials in this analysis would have been dosed differently 25% of the time (range 20-36%; p < 0.001). These findings are not only of statistical significance, but they also demonstrate the possibility of clinical importance and merit further consideration.

As stated previously, the majority of discordance existed when the manufacturer recommended a dosage adjustment according to CG estimation; however, that particular level of dosage adjustment was unnecessary, according to GFR estimation by the MDRD equation. According to this rationale, patients would have been overdosed an average of 21% (range 18-30%) of the time using the MDRD estimation, leading to the potential for adverse reactions such as seizures, arrhythmias, renal failure, gastrointestinal symptoms, neuromuscular hypersensitivity, and others. Although the potential for such adverse reactions is quite low and may not bear clinical significance, the variation between the 2 estimations was so great (20.6 to -9.8 mL/min) that a clinically significant difference may be implied. However, without actually administering an antimicrobial during the study, directly measuring GFR, comparing that measurement with our estimations, and assessing outcomes, true clinical significance can not be determined in this analysis.

Analysis contains various limitations, based on a series of assumptions. Measurement of actual GFR was not conducted on patients; instead, data presented in the MDRD study6 were used to establish that GFR can be accurately estimated using either a 6- or 4-variable equation. Thus, the major limitation of our analysis is associated with comparing 2 estimated values. Furthermore, drug concentrations were not monitored during this study due to a lack of resources.

Because the MDRD equation was chosen as the comparator estimator of renal function, it is important to control for patient demographic differences between this analysis and the Levey et al.6 study. With respect to mean weight, BUN, BSA, and race, our cohort of patients was comparable to patients in the MDRD study. Of note, the cohort of patients evaluated by Levey et al. exhibited a mean age of 50.6 ± 12.7 years, whereas our population was significantly older (73.4 ± 12.5 y). However, results from another study suggest that this difference may not be significant, as the researchers found the MDRD equation to be a more accurate predictor of GFR than the CG equation in older patients.14

A final limitation of this analysis lies within our method of selecting patients. While we were able to recruit more than a sufficient number of patients to power this analysis, we did not include those with an SCr level less than 1.3 mg/dL, with substantially decreased renal function, or those with an SCr level greater than 3 mg/dL, yet not on dialysis. Therefore, all possible patients with stages 3-5 chronic kidney disease were not captured.


    Conclusions
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 Abstract
 Methods
 Results
 Discussion
 Conclusions
 References
 
Results from previous studies have raised questions in the minds of clinicians as to whether the MDRD equation should be the preferred method to estimate renal function to make critical decisions about medication dosing. Based on the results of this analysis, where a wide variation was seen between estimations of GFR, we cannot advocate the use of the MDRD equation at this time for this purpose. Further studies are needed to evaluate the clinical outcomes that occur as a result of the discordant doses before such questions are answered.


    Footnotes
 
We thank Michael R McDaniel BS Pharm MBA FASHP, Director of Pharmacy Services at Huntsville Hospital, for designing the search engine used to identify patients eligible for inclusion in this analysis.


    References
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 References
 

  1. Coresh J, Astor BC, Greene T, Eknoyan G, Levey AS. Prevalence of chronic kidney disease and decreased kidney function in the adult US population: Third National Health and Nutrition Examination Survey. Am J Kidney Dis 2003;41:1-12.[Medline]
  2. Collins AJ, Kasiske B, Herzog C, et al. Excerpts from the United States Renal Data System 2003 Annual Data Report: atlas of end-stage renal disease in the United States. Am J Kidney Dis 2003;42(6 suppl 5):A5 -7.[CrossRef][Medline]
  3. Hoyert DL, Kung HC, Smith BL. Deaths: preliminary data for 2003.Natl Vital Stat Rep 2005;53(15):1 -48.[Medline]
  4. K/DOQI clinical practice guidelines for chronic kidney disease: evaluation, classification, and stratification. Am J Kidney Dis 2002;39(2 suppl 1):S1 -266.[CrossRef][Medline]
  5. Slikensen JR, Kasiske BL. Laboratory assessment of kidney disease: clearance, urinalysis, and kidney biopsy. In: Brenner BM, Levine SA, eds.Brenner & Rector's: the kidney. 7th ed. Philadelphia: WB Saunders, 2004: 1107-19.
  6. Levey AS, Bosch JP, Lewis JB, Greene T, Rogers N, Roth D. A more accurate method to estimate glomerular filtration rate from serum creatinine: a new prediction equation. Modification of Diet in Renal Disease Study Group.Ann Intern Med 1999;130:461-70.[Abstract/Free Full Text]
  7. Cockcroft DW, Gault MH. Prediction of creatinine clearance from serum creatinine. Nephron 1976;16:31-41.[Medline]
  8. Manjunath G, Sarnak MJ, Levey AS. Estimating the glomerular filtration rate. Dos and don'ts for assessing kidney function. Postgrad Med 2001;110:55-62.[CrossRef][Medline]
  9. Jamerson KA. Preventing chronic kidney disease in special populations. Am J Hypertens 2005;18(4 pt 2):106S -11S.[Medline]
  10. DuBois D, DuBois E. A formula to estimate the approximate surface area if height and weight be known. Arch Intern Med 1916;17:863-71.
  11. Lacy CF, Armstrong LL, Goldman MP, Lance LL. Drug information handbook. 13th ed. Hudson, OH: Lexi Comp, 2005.
  12. Bland JM, Altman DG. Statistical methods for assessing agreement between two methods of clinical measurement. Lancet 1986;1:307-10.[CrossRef][Medline]
  13. Bland JM, Altman DG. Applying the right statistics: analyses of measurement studies. Ultrasound Obstet Gynecol 2003;22:85-93.[Medline]
  14. Cirillo M, Anastasio P, De Santo NG. Relationship of gender, age, and body mass index to errors in predicted kidney function. Nephrol Dial Transplant 2005;20:1791-8.[Abstract/Free Full Text]



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