egfr: Calculates EGFR values based on different types of formulas

In amp.dm: Data Management Tools for Pharmacometrics

Calculates EGFR values based on different types of formulas

Description

This function calculates Estimated Glomerular Filtration Rate (EGFR) values based on most commonly used formulas

Usage

egfr(
  scr = NULL,
  sex = NULL,
  age = NULL,
  race = NULL,
  ht = NULL,
  bun = NULL,
  scys = NULL,
  prem = NULL,
  bsa = NULL,
  formula = "CKD-EPI"
)

Arguments

scr	vector with Serum creatinine values in mg/dL
sex	vector with SEX values (where female is defined as a value of 1)
age	vector with AGE values in years
race	vector with RACE values (where caucasian is defined as 1, black as and Japanese as > 2)
ht	vector with HEIGHT values in cm
bun	vector with Blood urea nitrogen in mg/dL
scys	vector with Serum cystatin C in mg/L
prem	vector with PREM (premature) values (where PREM is defined as value of 1)
bsa	vector with BSA values in m2 provide in case correction should be applied (see details)
formula	character with the formula to be used for the EGFR calculations (see details)

Details

Currently there are different formulas available for calculations:

• "CKD-EPI": EGFR according to the Chronic Kidney Disease Epidemiology (CKD-EPI) study formula (Levey):

  \textrm{eGFR} = 141 \cdot \min\left(\frac{\textrm{Scr}}{\kappa},1\right)^{\alpha} \cdot \max\left(\frac{\textrm{Scr}}{\kappa},1\right)^{-1.209} \cdot 0.993^{\textrm{Age}} \cdot 1.159 \textrm{ [if black]} \cdot 1.018 \textrm{ [if female]}

  where \min\left(\right) indicates the minimum of \frac{\textrm{Scr}}{\kappa} or 1; \max\left(\right) indicates the maximum of \frac{\textrm{Scr}}{\kappa}or 1. scaling parameter \kappa is 0.9 for males and 0.7 for females and scaling parameter \alpha is -0.411 for males and -0.329 for females.

• "CKD-EPI-ignore-race": EGFR according to the Chronic Kidney Disease Epidemiology (CKD-EPI) refit without race study formula (Delgado):

  \textrm{eGFR} = 142 \cdot \min\left(\frac{\textrm{Scr}}{\kappa},1\right)^{\alpha} \cdot \max\left(\frac{\textrm{Scr}}{\kappa},1\right)^{-1.200} \cdot 0.9938^{\textrm{Age}} \cdot 1.012 \textrm{ [if female]}

  where \min\left(\right) indicates the minimum of \frac{\textrm{Scr}}{\kappa} or 1; \max\left(\right) indicates the maximum of \frac{\textrm{Scr}}{\kappa}or 1. scaling parameter \kappa is 0.9 for males and 0.7 for females and scaling parameter \alpha is -0.302 for males and -0.241 for females.

• "CKD-EPI-Scys", EGFR according to the Chronic Kidney Disease Epidemiology study formula (Inker):

  \textrm{eGFR} = 133 \cdot \min\left(\frac{\textrm{Scys}}{0.8},1\right)^{-0.499} \cdot \max\left(\frac{\textrm{Scys}}{0.8},1\right)^{-1.328} \cdot 0.996^{\textrm{Age}} \cdot 0.932 \textrm{ [if female]}

  where \min\left(\right) indicates the minimum of \frac{\textrm{Scys}}{0.8} or 1; \max\left(\right) indicates the maximum of \frac{\textrm{Scys}}{0.8} or 1.

• "CKD-EPI-Scr-Scys", EGFR according to the Chronic Kidney Disease Epidemiology study formula (Inker):

  \textrm{eGFR} = k \cdot l \cdot 135 \cdot \min\left(\frac{\textrm{Scr}}{\kappa},1\right)^{\alpha} \cdot \max\left(\frac{\textrm{Scr}}{\kappa},1\right)^{-0.601} \cdot\min\left(\frac{\textrm{Scys}}{0.8},1\right)^{-0.375} \cdot \max\left(\frac{\textrm{Scys}}{0.8},1\right)^{-0.711} \cdot 0.995^{\textrm{Age}}

  where \min\left(\right) indicates the minimum of \frac{\textrm{Scys}}{0.8} or 1; \max\left(\right) indicates the maximum of \frac{\textrm{Scys}}{0.8} or 1, and where \min\left(\right) indicates the minimum of \frac{\textrm{Scr}}{\kappa} or 1; \max\left(\right) indicates the maximum of \frac{\textrm{Scr}}{\kappa}or 1. Scaling parameter k is 1 for males and 0.969 for female, scaling parameter l is 1 if White/Caucasian and 1.08 if Black/African American, scaling parameter \kappa is 0.9 for males and 0.7 for females and scaling parameter \alpha is -0.207 for males and -0.248 for females.

• "CKD-EPI-Scr-Scys-ignore-race", EGFR according to the Chronic Kidney Disease Epidemiology 2021 refit without race study formula (Delgado):

  \textrm{eGFR} = k \cdot 135 \cdot \min\left(\frac{\textrm{Scr}}{\kappa},1\right)^{\alpha} \cdot \max\left(\frac{\textrm{Scr}}{\kappa},1\right)^{-0.544} \cdot\min\left(\frac{\textrm{Scys}}{0.8},1\right)^{-0.323} \cdot \max\left(\frac{\textrm{Scys}}{0.8},1\right)^{-0.778} \cdot 0.9961^{\textrm{Age}}

  where \min\left(\right) indicates the minimum of \frac{\textrm{Scys}}{0.8} or 1; \max\left(\right) indicates the maximum of \frac{\textrm{Scys}}{0.8} or 1, and where \min\left(\right) indicates the minimum of \frac{\textrm{Scr}}{\kappa} or 1; \max\left(\right) indicates the maximum of \frac{\textrm{Scr}}{\kappa}or 1. Scaling parameter k is 1 for males and 0.963 for female, scaling parameter \kappa is 0.9 for males and 0.7 for females and scaling parameter \alpha is -0.144 for males and -0.219 for females.

• "CKD-EPI-Japan", EGFR in Japanese adults based on a Japanese coefficient-modified CKD-EPI equation (Horio):

  \textrm{eGFR} = l \cdot 141 \cdot \min\left(\frac{\textrm{Scr}}{\kappa},1\right)^{\alpha} \cdot \max\left(\frac{\textrm{Scr}}{\kappa},1\right)^{-1.209} \cdot 0.993^{\textrm{Age}} \cdot 1.018 \textrm{ [if female]}

  where \min\left(\right) indicates the minimum of \frac{\textrm{Scr}}{\kappa} or 1; \max\left(\right) indicates the maximum of \frac{\textrm{Scr}}{\kappa}or 1. Scaling parameter l is 1 for White/Caucasian, 1.159 for Black/African American, 0.813 for Japanese, scaling parameter \kappa is 0.9 for males and 0.7 for females and scaling parameter \alpha is -0.411 for males and -0.329 for females.

• "CKD-MDRD", EGFR according to the abbreviated Modification of Diet in Renal Disease study formula (Levey):

  \textrm{eGFR}= 186 \cdot \textrm{Scr}^{-1.154} \cdot \textrm{Age}^{-0.203} \cdot 1.212 \textrm{ [if black]} \cdot 0.742 \textrm{ [if female]}

• "CKD-MDRD2", EGFR according to the re-expressed Modification of Diet in Renal Disease (MDRD) study formula (Levey2007):

  \textrm{eGFR} = 175 \cdot \textrm{Scr}^{-1.154} \cdot \textrm{Age}^{-0.203} \cdot 1.212 \textrm{ [if black]} \cdot 0.742 \textrm{ [if female]}

• "Schwartz-original", EGFR in children, according to the original Schwartz formula (Schwartz1987):

  \textrm{eGFR} = k \cdot \frac{\textrm{Height}}{\textrm{Scr}}

  where k = 0.33 in pre-term infants up to 1 year, k = 0.45 in full-term infants up to 1 year, k = 0.55 in children 1 year to 13 years, k = 0.55 in girls >13 and <18 years and k = 0.70 in boys >13 and <18 years.

• "Schwartz-CKiD", EGFR in children, according to the Chronic Kidney Disease in Children (CKiD) revised Schwartz formula (Schwartz2012):

  \textrm{eGFR} = 39.8 \cdot \left(\frac{\textrm{Height}}{\textrm{Scr}}\right)^{0.456} \cdot \left(\frac{1.8}{\textrm{Scys}}\right)^{0.418} \cdot \left(\frac{30}{\textrm{BUN}}\right)^{0.079} \cdot \left(\frac{\textrm{Height}}{1.4}\right)^{0.079}

  Scaling parameter k is 1 for males and 1.076 for females.

• "Schwartz-1B", EGFR in children, according to the Chronic Kidney Disease in Children (CKiD) 1B Schwartz formula (Schwartz2009):

  \textrm{eGFR} = 40.7 \cdot \left(\frac{\textrm{Height}}{\textrm{Scr}}\right)^{0.64} \cdot \left(\frac{30}{\textrm{BUN}}\right)^{0.202}

• "Schwartz", EGFR in children, according to the updated ('bedside') Schwartz formula (Schwartz2009):

  \textrm{eGFR} = 0.413 \cdot \frac{\textrm{Height}}{\textrm{Scr}}

  This equation is not meant for patients < 1 years of age.

• "Mayo-Quadratic", EGFR according to the Quadratic Mayo Clinic formula (Rule).

  \textrm{eGFR} = \exp\left(1.911 + \frac{5.249}{\textrm{Scr}} - \frac{2.114}{\textrm{Scr}^2} - 0.00686 \cdot \textrm{Age} - 0.205\textrm{ [if female]}\right)

  If Scr < 0.8 mg/dL, a value of 0.8 is used in the equation.

• "Matsuo-Japan", EGFR in Japanese adults, according to Matsuo:

  \textrm{eGFR} = 194 \cdot \textrm{Scr}^{-1.094} \cdot \textrm{Age}^{-0.287} \cdot 0.739 \textrm{ [if female]}

For all of the calculation methods described above, the reported EGFR values are in the units "mL/minute/1.73m2". This means that the value is referenced to a body surface area (BSA) value of 1.73m2. When a value is provided for BSA, the final outcome will be corrected for the BSA value and the units become "mL/minute". This is done by multiplying the eGFR (referenced to a BSA of 1.73m2) with the individual's BSA (it is the users responsibility to proved BSA values that are calculated using the appropriate formula) and divided by 1.73. Additional information regarding this can be found in a FDA guidance document.

Value

a vector with EGFR values

Author(s)

Richard Hooijmaijers

Examples

# dataset with dummy numbers!
crea <- data.frame(id=c(1,1,2),Scr=runif(3),SEX=c(1,1,0),AGE=runif(3),RACE=c(1,1,2))
egfr(crea$Scr,crea$SEX,crea$AGE,crea$RACE, formula="CKD-EPI")
# example for use in dplyr
crea |> dplyr::mutate(EGFR = egfr(Scr,SEX, AGE, RACE, formula="CKD-EPI"))

amp.dm documentation built on March 13, 2026, 5:08 p.m.