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Chronic Kidney Disease
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Estimating Glomerular Filtration Rate: Cockcroft–Gault and Modification of Diet in Renal Disease Formulas Compared to Renal Inulin Clearance

Rossini Botev, Jean-Pierre Mallié, Cecilé Couchoud, Otto Schück, Jean-Pierre Fauvel, Jack F.M. Wetzels, Nelson Lee, Natale G. De Santo and Massimo Cirillo
CJASN May 2009, 4 (5) 899-906; DOI: https://doi.org/10.2215/CJN.05371008
Rossini Botev
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Jean-Pierre Mallié
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Cecilé Couchoud
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Otto Schück
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Jean-Pierre Fauvel
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Jack F.M. Wetzels
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Nelson Lee
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Natale G. De Santo
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Massimo Cirillo
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    Figure 1.

    Relation between serum creatinine concentration and measured glomerular filtration rate (GFR) by renal inulin clearance.

  • Figure 2.
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    Figure 2.

    Relation of measured glomerular filtration rate (GFR) by renal inulin clearance and estimated GFR (eGFR) by (A) Cockcroft-Gault (CG) formula and (B) Modification of Diet in Renal Disease (MDRD) formula. Trend line in bold; r2, variability coefficient.

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    Figure 3.

    Bland and Altman plots comparing measured glomerular filtration rate (GFR) by renal inulin clearance and estimated GFR (eGFR) by (A) Cockcroft-Gault (CG) formula and (B) Modification of Diet in Renal Disease (MDRD) formula. Bold lines define upper (+2 SD) and lower (−2 SD) limits of agreement; dashed lines represent mean difference between eGFR and inulin GFR.

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    Table 1.

    Population characteristicsa

    CharacteristicAllStrata by mGFR (ml/min/1.73 m2)
    ≥9060 to 89.930 to 59.915 to 29.9<15≥60<60
    n (%)2208807(37)512(23)484(22)275(12)130(6)1319(60)889(40)
    Age (yr)46 ± 1639 ± 1348 ± 1552 ± 1652 ± 1557 ± 1642 ± 1453 ± 16
    Weight (kg)70.6 ± 16.070.2 ± 15.370.9 ± 18.370.5 ± 14.871.0 ± 16.171.7 ± 15.170.5 ± 16.570.8 ± 15.3
    Height (cm)166 ± 10167 ± 10166 ± 10166 ± 10167 ± 10166 ± 11166 ± 10166 ± 10
    BSA (m2)1.78 ± 0.211.78 ± 0.201.77 ± 0.221.78 ± 0.211.79 ± 0.221.79 ± 0.211.78 ± 0.211.78 ± 0.21
    BMI (kg/m2)25.5 ± 5.525.2 ± 5.525.9 ± 6.625.5 ± 4.825.5 ± 4.926.0 ± 5.425.5 ± 5.925.6 ± 4.9
    SCr (mg/dl)1.68 ± 1.340.90 ± 0.181.13 ± 0.291.74 ± 0.543.30 ± 1.224.98 ± 2.090.99 ± 0.252.70 ± 1.62
    MGFR (ml/min/1.73 m2)72.4 ± 39.0114.5 ± 17.775.5 ± 9.044.3 ± 8.321.9 ± 4.310.5 ± 3.199.4 ± 24.232.4 ± 15.0
    CG (ml/min/1.73 m2)68.9 ± 35.099.9 ± 23.175.4 ± 22.948.3 ± 16.326.8 ± 11.517.1 ± 6.790.4 ± 26.037.1 ± 18.7
    MDRD (ml/min/1.73 m2)62.6 ± 31.891.1 ± 19.869.4 ± 18.143.7 ± 14.622.2 ± 9.513.8 ± 5.582.7 ± 21.932.7 ± 17.3
    • ↵a Data presented as mean ± SD. mGFR, measured GFR (by renal inulin clearance); BSA, body surface area; BMI, body mass index; SCr, serum creatinine; CG, Cockcroft–Gault formula estimated GFR; MDRD, Modification of Diet in Renal Disease formula estimated GFR.

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    Table 2.

    Bias, precision, and accuracya

    mGFRbnBiasPrecisionAccuracy
    Total/RelativeTotal/RelativeWithin ±15%Within ±30%Within ±50%
    CGcMDRDdCGMDRDCGMDRDCGMDRDCGMDRD
    ≥90807−14.6f/−11.7f−23.4f/−19.5f24.4/20.921.8/17.841.429.980.968.798.498.3
    60 to 89.9512−0.1/0−6.1f/−7.8f21.4/28.217.0/22.641.840.875.479.794.197.5
    30 to 59.94844.0f/9.8f−0.6/−0.714.6/32.913.0/28.739.537.668.873.488.694.8
    15 to 29.92754.9f/23.0f0.4/1.610.5/48.88.3/38.226.932.454.956.078.287.6
    <151306.6e/78.0e3.3f/42.0f6.4/93.95.2/68.819.220.831.540.844.665.4
    ≥601319−9.0f/−7.2f−16.7f/−15.0f24.3/24.721.7/20.641.634.178.872.996.798.0
    <608894.7f/23.9f0.3/6.3f12.5/56.010.9/42.532.633.559.163.279.088.3
    Overall2208−3.5f/5.3f−9.8f/−6.4f21.5/43.120.0/33.038.033.970.869.088.894.1
    • ↵a Bias defined as total (ml/min/1.73 m2) and relative (%) mean difference between estimated and measured glomerular filtration rate (mGFR). Precision defined as one SD of total and relative bias. Accuracy defined as percentage of GFR estimations within ±15, ±30, and ±50% range of respective GFR measurements.

    • ↵b mGFR, measured GFR by renal inulin clearance in ml/min/1.73 m2.

    • ↵c CG, Cockcroft-Gault formula estimated GFR (ml/min/1.73 m2).

    • ↵d MDRD, Modification of Diet in Renal Disease formula estimated GFR (ml/min/1.73 m2).

    • ↵e P < 0.05.

    • ↵f P < 0.001 (estimated versus mGFR).

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    Table 3.

    K/DOQI-CKD classification of the population by CG and MDRD formulasa

    mGFRbnStage 1Stage 2Stage 3Stage 4Stage 5
    eGFR ≥90eGFR 60 to 89.9eGFR 30 to 59.9eGFR 15 to 29.9eGFR <15
    CGMDRDCGMDRDCGMDRDCGMDRDCGMDRD
    ≥9080764.449.133.847.81.73.10000
    60 to 89.951220.912.952.955.926.031.10.20.200
    30 to 59.94841.90.617.610.570.972.99.715.900
    15 to 29.9275002.50.025.519.661.853.510.226.9
    <1513000005.4050.840.043.860.0
    • ↵a Data presented in %. K/DOQI, Kidney Disease Outcomes Quality Initiative; CKD, chronic kidney disease; CG, Cockcroft-Gault formula; MDRD, Modification of Diet in Renal Disease formula; mGFR, measured glomerular filtration rate by renal inulin clearance (ml/min/1.73 m2); eGFR, estimated GFR (ml/min/1.73 m2) by CG or MDRD formula used for CKD classification (stages based on GFR levels alone). Values in bold represent percentage of properly classified estimates by either formula.

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    Table 4.

    Performance of the CG and MDRD formulas in the GFR groups according to K/DOQI-CKD classificationa

    mGFRnSensitivitySpecificityPPVNPV
    CGMDRDCGMDRDCGMDRDCGMDRD
    ≥9080764.449.191.795.181.885.281.776.4
    60 to 89.951252.955.978.574.242.639.684.784.8
    30 to 59.948470.972.987.086.260.559.791.491.9
    15 to 29.927561.853.594.193.359.953.194.593.4
    <1513043.860.098.796.467.151.396.697.5
    • ↵a Data presented in %. CG, Cockcroft-Gault formula; MDRD, Modification of Diet in Renal Disease; K/DOQI, Kidney Disease Outcomes Quality Initiative; CKD, Chronic Kidney Disease; mGFR, measured glomerular filtration rate by renal inulin clearance (ml/min/1.73 m2); PPV, positive predictive value; NPV, negative predictive value.

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Clinical Journal of the American Society of Nephrology
Vol. 4, Issue 5
May 2009
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Estimating Glomerular Filtration Rate: Cockcroft–Gault and Modification of Diet in Renal Disease Formulas Compared to Renal Inulin Clearance
Rossini Botev, Jean-Pierre Mallié, Cecilé Couchoud, Otto Schück, Jean-Pierre Fauvel, Jack F.M. Wetzels, Nelson Lee, Natale G. De Santo, Massimo Cirillo
CJASN May 2009, 4 (5) 899-906; DOI: 10.2215/CJN.05371008

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Estimating Glomerular Filtration Rate: Cockcroft–Gault and Modification of Diet in Renal Disease Formulas Compared to Renal Inulin Clearance
Rossini Botev, Jean-Pierre Mallié, Cecilé Couchoud, Otto Schück, Jean-Pierre Fauvel, Jack F.M. Wetzels, Nelson Lee, Natale G. De Santo, Massimo Cirillo
CJASN May 2009, 4 (5) 899-906; DOI: 10.2215/CJN.05371008
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