Build-PK-Oral

Population PK datasets require a certain format in order to be analyzed by software systems specialized for PK analysis such as NONMEM. The Build-PK-Oral module requires dose data and concentration data. Demographic data (provided by users or the Pro-Demographic module) and laboratory data (provided by users or the Pro-Laboratory module) may optionally be included. Building PK datasets from EHR-extracted information may require some assumptions regarding dosing. The major functions performed in this module by run_Build_PK_Oral() are:

• Build PK data for orally administered medications using assumed dosing schedule when last-dose times are not provided.
• Build PK data for orally administered medications using last-dose times if they are provided or extracted from clinical notes in EHRs.

A possible EHR-extracted dataset follows:

# Data generating function for examples
mkdat <- function() {
  npat=3
  visits <- floor(runif(npat, min=2, max=6))
  id <- rep(1:npat, visits)
  dt <- as.POSIXct(paste(as.Date(sort(sample(700, sum(visits))), 
                                 origin = '2019-01-01'), '10:00:00'), tz = 'UTC') 
  + rnorm(sum(visits), 0, 1*60*60)
  dose_morn <- sample(c(2.5,5,7.5,10), sum(visits), replace = TRUE)
  conc <- round(rnorm(sum(visits), 1.5*dose_morn, 1),1)
  ld <- dt - sample(10:16, sum(visits), replace = TRUE) * 3600
  ld[rnorm(sum(visits)) < .3] <- NA
  age <- rep(sample(40:75, npat), visits)
  weight <- rep(round(rnorm(npat, 180, 20)),visits)
  hgb <- round(rep(rnorm(npat, 10, 2), visits),1)
  data.frame(id, dt, dose_morn, conc, age, weight, hgb, ld)
}

# Make example data
set.seed(30)
dat <- mkdat()
dat

##   id                  dt dose_morn conc age weight  hgb                  ld
## 1  1 2019-01-30 10:00:00       2.5  1.9  50    197 10.6                <NA>
## 2  1 2019-07-08 10:00:00      10.0 14.8  50    197 10.6                <NA>
## 3  2 2019-09-27 10:00:00       2.5  4.5  56    154  7.8                <NA>
## 4  2 2019-11-01 10:00:00      10.0 14.1  56    154  7.8 2019-10-31 22:00:00
## 5  2 2019-11-12 10:00:00       2.5  4.5  56    154  7.8                <NA>
## 6  3 2020-03-11 10:00:00       2.5  5.2  40    147 10.8 2020-03-11 00:00:00
## 7  3 2020-04-05 10:00:00       5.0  6.4  40    147 10.8                <NA>
## 8  3 2020-06-06 10:00:00       7.5 10.7  40    147 10.8 2020-06-05 19:00:00

There are 3 individuals in the dataset, each has a set of EHR-extracted dose and blood concentrations data along with demographic data and information commonly found with laboratory data:

• Subject identification number (id)
• Time of concentration measurement (dt)
• Dose (dose_morn)
• drug concentration (conc)
• Age (age)
• Weight (weight)
• Hemoglobin (hgb)
• Last-dose time (ld)

All concentrations are being taken in the morning. Given that this is a drug which should be taken orally every 12 hours, we can construct a reasonable dosing schedule which details the amount and timing of each dose.

Assume that individuals take their morning dose of medicine 30 minutes after their blood is drawn for labs to check trough concentrations at clinic visit. All doses following that first one will then occur every 12 hours until the next measured concentration is within 6 to 18 hours (when no extracted last-dose times are provided). The timing of the subsequent concentration will then dictate the next sequence of doses in the same way, and so on until the final extracted concentration.

Additionally, it is reasonable to assume that the individual has been taking the drug of interest prior to their first measured concentration. For this reason assume that there is regular dosing leading up to the first extracted concentration, the duration of which is set by the argument first_interval_hours; this duration should be long enough for trough concentrations to reach a steady state.

run_Build_PK_Oral() builds a PK dataset by following this logic, given specification of appropriate columns:

• idCol: subject identification number
• dtCol: time of concentration measurement
• doseCol: dose
• concCol: drug concentration
• ldCol: last-dose time; the default is NULL to ignore
• first_interval_hours: Hours of regular dosing leading up to the first concentration; the default is 336 hours = 14 days
• imputeClosest: Vector of columns for imputation of missing data using last observation carried forward or, if unavailable, next observation propagated backward

dat2 <- dat[,-8]
# Build PK data without last-dose times
run_Build_PK_Oral(x = dat2,
                  idCol = "id",
                  dtCol = "dt",
                  doseCol = "dose_morn",
                  concCol = "conc",
                  ldCol = NULL,
                  first_interval_hours = 336,
                  imputeClosest = NULL)

##    CID   time                date conc dose addl II mdv age weight  hgb
## 1    1    0.0 2019-01-16 10:00:00   NA  2.5   27 12   1  50    197 10.6
## 2    1  336.0 2019-01-30 10:00:00  1.9   NA   NA NA   0  50    197 10.6
## 3    1  336.5 2019-01-30 10:30:00   NA  2.5  317 12   1  50    197 10.6
## 4    1 4151.0 2019-07-08 10:00:00 14.8   NA   NA NA   0  50    197 10.6
## 5    2    0.0 2019-09-13 10:00:00   NA  2.5   27 12   1  56    154  7.8
## 6    2  336.0 2019-09-27 10:00:00  4.5   NA   NA NA   0  56    154  7.8
## 7    2  336.5 2019-09-27 10:30:00   NA  2.5   69 12   1  56    154  7.8
## 8    2 1176.0 2019-11-01 10:00:00 14.1   NA   NA NA   0  56    154  7.8
## 9    2 1176.5 2019-11-01 10:30:00   NA 10.0   21 12   1  56    154  7.8
## 10   2 1441.0 2019-11-12 10:00:00  4.5   NA   NA NA   0  56    154  7.8
## 11   3    0.0 2020-02-26 09:00:00   NA  2.5   27 12   1  40    147 10.8
## 12   3  336.0 2020-03-11 10:00:00  5.2   NA   NA NA   0  40    147 10.8
## 13   3  336.5 2020-03-11 10:30:00   NA  2.5   49 12   1  40    147 10.8
## 14   3  936.0 2020-04-05 10:00:00  6.4   NA   NA NA   0  40    147 10.8
## 15   3  936.5 2020-04-05 10:30:00   NA  5.0  123 12   1  40    147 10.8
## 16   3 2424.0 2020-06-06 10:00:00 10.7   NA   NA NA   0  40    147 10.8

Note that addl and II dictate an every-twelve-hour dosing schedule which leads up to the proceeding concentration. Covariates are preserved and a time variable which represents hours since first dose is generated. This data is now in an appropriate format for PK analysis but makes no use of the last-dose times although they are extracted along with some (but not all) concentrations. When last-dose times are present in the input data and they are specified in the argument ldCol, the sequence of doses leading up to the extracted dose is reduced and a new row is inserted which accurately describes the timing of the dose which precedes the relevant concentration.

# Build PK data with last-dose times
run_Build_PK_Oral(x = dat,
                  idCol = "id",
                  dtCol = "dt",
                  doseCol = "dose_morn",
                  concCol = "conc",
                  ldCol = "ld",
                  first_interval_hours = 336,
                  imputeClosest = NULL)

##    CID   time                date conc dose addl II mdv age weight  hgb
## 1    1    0.0 2019-01-16 10:00:00   NA  2.5   27 12   1  50    197 10.6
## 2    1  336.0 2019-01-30 10:00:00  1.9   NA   NA NA   0  50    197 10.6
## 3    1  336.5 2019-01-30 10:30:00   NA  2.5  317 12   1  50    197 10.6
## 4    1 4151.0 2019-07-08 10:00:00 14.8   NA   NA NA   0  50    197 10.6
## 5    2    0.0 2019-09-13 10:00:00   NA  2.5   27 12   1  56    154  7.8
## 6    2  336.0 2019-09-27 10:00:00  4.5   NA   NA NA   0  56    154  7.8
## 7    2  336.5 2019-09-27 10:30:00   NA  2.5   68 12   1  56    154  7.8
## 8    2 1164.0 2019-10-31 22:00:00   NA  2.5    0 NA   1  56    154  7.8
## 9    2 1176.0 2019-11-01 10:00:00 14.1   NA   NA NA   0  56    154  7.8
## 10   2 1176.5 2019-11-01 10:30:00   NA 10.0   21 12   1  56    154  7.8
## 11   2 1441.0 2019-11-12 10:00:00  4.5   NA   NA NA   0  56    154  7.8
## 12   3    0.0 2020-02-26 09:00:00   NA  2.5   26 12   1  40    147 10.8
## 13   3  326.0 2020-03-11 00:00:00   NA  2.5    0 NA   1  40    147 10.8
## 14   3  336.0 2020-03-11 10:00:00  5.2   NA   NA NA   0  40    147 10.8
## 15   3  336.5 2020-03-11 10:30:00   NA  2.5   49 12   1  40    147 10.8
## 16   3  936.0 2020-04-05 10:00:00  6.4   NA   NA NA   0  40    147 10.8
## 17   3  936.5 2020-04-05 10:30:00   NA  5.0  122 12   1  40    147 10.8
## 18   3 2409.0 2020-06-05 19:00:00   NA  5.0    0 NA   1  40    147 10.8
## 19   3 2424.0 2020-06-06 10:00:00 10.7   NA   NA NA   0  40    147 10.8

Individual 1 has no extracted last-dose times so their data is unchanged from before. Compare, however, rows 7-9 to rows 7-8 of the previous dataset constructed without last-dose times. The measured concentration of 14.1 on date 2019-11-01 is associated with a last-dose time. addl drops from 69 to 68 and the extracted last-dose is added in row 8 with additional date 2019-10-31 20:58:36, the last-dose time extracted from clinical notes. Notice that the number of doses leading up to the concentration is unchanged and the timing of the final dose has been adjusted to reflect information in the EHR (i.e., the calculated time of 1162.70 for time). This dataset still relies on assumptions about dosing, but should reflect the actual dosing schedule better by incorporating last-dose times from the EHR.

References

1. Choi L, Beck C, McNeer E, Weeks HL, Williams ML, James NT, Niu X, Abou-Khalil BW, Birdwell KA, Roden DM, Stein CM. Development of a System for Post-marketing Population Pharmacokinetic and Pharmacodynamic Studies using Real-World Data from Electronic Health Records. Clinical Pharmacology & Therapeutics. 2020 Apr; 107(4): 934-943.