I’m trying to build a very simple pharmacometric model. Shown below is some data.
I am trying to use the integrate_ode_bdf function to integrate the differential equation for my model. When I do so, I keep getting the following error: Exception: integrate_ode_bdf: times is not a valid ordered vector..
I’ve tried sorting the Time column before passing it into Stan, but the error persists.
Here is my model:
#Courtesy of Michael Betancourt
functions {
real[] one_comp_lin_elim_abs(real t,
real[] y,
real[] theta,
real[] x_r,
int[] x_i) {
real dydt[1];
real k_a = theta[1]; // Dosing rate in 1/day
real k = theta[2]; // Elimination rate in 1/day
real D = x_r[1];
real V = x_r[2];
real dose = 0;
real elim = k * y[1];
if (t > 0)
dose = exp(- k_a * t) * D * k_a / V;
dydt[1] = dose - elim;
return dydt;
}
}
data {
real t0; // Initial time in days;
real C0[1]; // Initial concentration at t0 in mg/L
real D; // Total dosage in mg
//real V; // Compartment volume in L
int<lower=1> N_t;
real times[N_t]; // Measurement times in days
// Measured concentrations in effect compartment in mg/L
real C_hat[N_t];
}
transformed data {
real x_r[1] = {D};
int x_i[0];
}
parameters {
real<lower=0> k_a; // Dosing rate in 1/day
real<lower=0> k; // Elimination rate in 1/day
real<lower=0> sigma;
real<lower=0> V;
}
transformed parameters {
real C[N_t, 1];
{
real theta[2] = {k_a, k};
C = integrate_ode_bdf(one_comp_lin_elim_abs, C0, t0, times, theta, x_r, x_i);
}
}
model {
// Priors
k_a ~ cauchy(0, 1);
k ~ cauchy(0, 1);
sigma ~ cauchy(0, 1);
V ~ cauchy(0,1);
// Likelihood
for (n in 1:N_t)
C_hat[n] ~ lognormal(log(C[n, 1]), sigma);
}
generated quantities {
real C_ppc[N_t];
for (n in 1:N_t)
C_ppc[n] = lognormal_rng(log(C[n, 1]), sigma);
}
And here is how I set up my data to be passed to the model
t0 = c(0)
C0 = array(c(0), dim = 1)
D = 2.5
times = apixaban.data$Time
N_t = length(apixaban.data$Time)
C_hat = apixaban.data$Concentration
stan_rdump(c("t0", "C0", "D", "times", "N_t", "C_hat"), file="apixaban_model.data.R")
input_data <- read_rdump("apixaban_model.data.R")
#Model is in a Stan cell in an R Notebook
rstan::sampling(apixaban.model,data = input_data)
Data shown below
apixiban.data = tibble::tribble(
~Time, ~Subject, ~Concentration, ~Group, ~Sex, ~Sex_ID, ~Group_ID, ~Subejct_ID,
0.5, 1L, 0.7, "NAFLD", "Male", 1, 0, 1L,
0.5, 3L, 8.2, "NAFLD", "Female", 0, 0, 2L,
0.5, 4L, 13.3, "NAFLD", "Female", 0, 0, 3L,
0.5, 5L, 15.6, "NAFLD", "Female", 0, 0, 4L,
0.5, 6L, 102.1, "NAFLD", "Female", 0, 0, 5L,
0.5, 7L, 33.7, "Control", "Female", 0, 1, 6L,
0.5, 8L, 37.4, "Control", "Male", 1, 1, 7L,
0.5, 9L, 26.3, "Control", "Female", 0, 1, 8L,
0.5, 10L, 82.3, "Control", "Female", 0, 1, 9L,
0.5, 11L, 6.6, "NAFLD", "Male", 1, 0, 10L,
0.5, 12L, 75.2, "NAFLD", "Female", 0, 0, 11L,
0.5, 13L, 6.7, "Control", "Female", 0, 1, 12L,
0.5, 14L, 4.3, "NAFLD", "Female", 0, 0, 13L,
0.5, 15L, 10.6, "NAFLD", "Male", 1, 0, 14L,
0.5, 16L, 4.6, "NAFLD", "Male", 1, 0, 15L,
0.5, 17L, 15.9, "NAFLD", "Female", 0, 0, 16L,
0.5, 18L, 17.9, "Control", "Female", 0, 1, 17L,
0.5, 19L, 3.9, "NAFLD", "Female", 0, 0, 18L,
0.5, 20L, 7.1, "NAFLD", "Female", 0, 0, 19L,
0.5, 21L, 28.2, "NAFLD", "Male", 1, 0, 20L,
0.5, 22L, 21.1, "Control", "Male", 1, 1, 21L,
0.5, 23L, 18, "Control", "Female", 0, 1, 22L,
0.5, 24L, 13.8, "NAFLD", "Male", 1, 0, 23L,
0.5, 25L, 5.2, "NAFLD", "Female", 0, 0, 24L,
0.5, 26L, 37.9, "NAFLD", "Female", 0, 0, 25L,
0.5, 27L, 7.4, "NAFLD", "Male", 1, 0, 26L,
0.5, 28L, 15.6, "Control", "Female", 0, 1, 27L,
0.5, 29L, 24.1, "Control", "Female", 0, 1, 28L,
0.5, 30L, 19.4, "Control", "Female", 0, 1, 29L,
0.5, 31L, 31.1, "Control", "Female", 0, 1, 30L,
0.5, 32L, 14.3, "NAFLD", "Male", 1, 0, 31L,
0.5, 33L, 4.9, "NAFLD", "Male", 1, 0, 32L,
0.5, 34L, 10, "NAFLD", "Male", 1, 0, 33L,
0.5, 35L, 2.1, "NAFLD", "Female", 0, 0, 34L,
0.5, 36L, 12.4, "NAFLD", "Female", 0, 0, 35L,
0.5, 37L, 1.7, "NAFLD", "Male", 1, 0, 36L,
1, 1L, 32.7, "NAFLD", "Male", 1, 0, 1L,
1, 3L, 45.4, "NAFLD", "Female", 0, 0, 2L,
1, 4L, 117.9, "NAFLD", "Female", 0, 0, 3L,
1, 5L, 97.8, "NAFLD", "Female", 0, 0, 4L,
1, 6L, 165.8, "NAFLD", "Female", 0, 0, 5L,
1, 7L, 84.5, "Control", "Female", 0, 1, 6L,
1, 8L, 74.4, "Control", "Male", 1, 1, 7L,
1, 9L, 65.5, "Control", "Female", 0, 1, 8L,
1, 10L, 103.4, "Control", "Female", 0, 1, 9L,
1, 11L, 7.7, "NAFLD", "Male", 1, 0, 10L,
1, 12L, 76.1, "NAFLD", "Female", 0, 0, 11L,
1, 13L, 38.4, "Control", "Female", 0, 1, 12L,
1, 14L, 34.6, "NAFLD", "Female", 0, 0, 13L,
1, 15L, 61.1, "NAFLD", "Male", 1, 0, 14L,
1, 16L, 35.4, "NAFLD", "Male", 1, 0, 15L,
1, 17L, 59.1, "NAFLD", "Female", 0, 0, 16L,
1, 18L, 82.2, "Control", "Female", 0, 1, 17L,
1, 19L, 21.1, "NAFLD", "Female", 0, 0, 18L,
1, 20L, 82.3, "NAFLD", "Female", 0, 0, 19L,
1, 21L, 66.1, "NAFLD", "Male", 1, 0, 20L,
1, 22L, 49.9, "Control", "Male", 1, 1, 21L,
1, 23L, 65.2, "Control", "Female", 0, 1, 22L,
1, 24L, 41, "NAFLD", "Male", 1, 0, 23L,
1, 25L, 43.2, "NAFLD", "Female", 0, 0, 24L,
1, 26L, 119.9, "NAFLD", "Female", 0, 0, 25L,
1, 27L, 18.3, "NAFLD", "Male", 1, 0, 26L,
1, 28L, 39.2, "Control", "Female", 0, 1, 27L,
1, 29L, 50.5, "Control", "Female", 0, 1, 28L,
1, 30L, 41, "Control", "Female", 0, 1, 29L,
1, 31L, 65.9, "Control", "Female", 0, 1, 30L,
1, 32L, 41.2, "NAFLD", "Male", 1, 0, 31L,
1, 33L, 22.6, "NAFLD", "Male", 1, 0, 32L,
1, 34L, 19.2, "NAFLD", "Male", 1, 0, 33L,
1, 35L, 13.5, "NAFLD", "Female", 0, 0, 34L,
1, 36L, 36.3, "NAFLD", "Female", 0, 0, 35L,
1, 37L, 9.6, "NAFLD", "Male", 1, 0, 36L,
2, 1L, 79.7, "NAFLD", "Male", 1, 0, 1L,
2, 3L, 69.7, "NAFLD", "Female", 0, 0, 2L,
2, 4L, 102.7, "NAFLD", "Female", 0, 0, 3L,
2, 5L, 103, "NAFLD", "Female", 0, 0, 4L,
2, 6L, 151.5, "NAFLD", "Female", 0, 0, 5L,
2, 7L, 117.2, "Control", "Female", 0, 1, 6L,
2, 8L, 79.9, "Control", "Male", 1, 1, 7L,
2, 9L, 162, "Control", "Female", 0, 1, 8L,
2, 10L, 104.1, "Control", "Female", 0, 1, 9L,
2, 11L, 12.9, "NAFLD", "Male", 1, 0, 10L,
2, 12L, 77.1, "NAFLD", "Female", 0, 0, 11L,
2, 13L, 94.4, "Control", "Female", 0, 1, 12L,
2, 14L, 83.8, "NAFLD", "Female", 0, 0, 13L,
2, 15L, 67.8, "NAFLD", "Male", 1, 0, 14L,
2, 16L, 32.2, "NAFLD", "Male", 1, 0, 15L,
2, 17L, 78.1, "NAFLD", "Female", 0, 0, 16L,
2, 18L, 126.5, "Control", "Female", 0, 1, 17L,
2, 19L, 42.8, "NAFLD", "Female", 0, 0, 18L,
2, 20L, 78.7, "NAFLD", "Female", 0, 0, 19L,
2, 21L, 64.1, "NAFLD", "Male", 1, 0, 20L,
2, 22L, 46.8, "Control", "Male", 1, 1, 21L,
2, 23L, 123, "Control", "Female", 0, 1, 22L,
2, 24L, 39.8, "NAFLD", "Male", 1, 0, 23L,
2, 25L, 82.2, "NAFLD", "Female", 0, 0, 24L,
2, 26L, 125.7, "NAFLD", "Female", 0, 0, 25L,
2, 27L, 23.3, "NAFLD", "Male", 1, 0, 26L,
2, 28L, 57.4, "Control", "Female", 0, 1, 27L,
2, 29L, 86.1, "Control", "Female", 0, 1, 28L,
2, 30L, 59.7, "Control", "Female", 0, 1, 29L,
2, 31L, 82.1, "Control", "Female", 0, 1, 30L,
2, 32L, 60.9, "NAFLD", "Male", 1, 0, 31L,
2, 33L, 55.8, "NAFLD", "Male", 1, 0, 32L,
2, 34L, 22.7, "NAFLD", "Male", 1, 0, 33L,
2, 35L, 37.8, "NAFLD", "Female", 0, 0, 34L,
2, 36L, 45.7, "NAFLD", "Female", 0, 0, 35L,
2, 37L, 27.1, "NAFLD", "Male", 1, 0, 36L,
4, 1L, 59.2, "NAFLD", "Male", 1, 0, 1L,
4, 3L, 75.6, "NAFLD", "Female", 0, 0, 2L,
4, 4L, 201.6, "NAFLD", "Female", 0, 0, 3L,
4, 5L, 106.2, "NAFLD", "Female", 0, 0, 4L,
4, 6L, 144, "NAFLD", "Female", 0, 0, 5L,
4, 7L, 98.6, "Control", "Female", 0, 1, 6L,
4, 8L, 72.5, "Control", "Male", 1, 1, 7L,
4, 9L, 126.3, "Control", "Female", 0, 1, 8L,
4, 10L, 81, "Control", "Female", 0, 1, 9L,
4, 11L, 44.8, "NAFLD", "Male", 1, 0, 10L,
4, 12L, 73.5, "NAFLD", "Female", 0, 0, 11L,
4, 13L, 83.8, "Control", "Female", 0, 1, 12L,
4, 14L, 72.8, "NAFLD", "Female", 0, 0, 13L,
4, 15L, 67.1, "NAFLD", "Male", 1, 0, 14L,
4, 16L, 27.1, "NAFLD", "Male", 1, 0, 15L,
4, 17L, 75.8, "NAFLD", "Female", 0, 0, 16L,
4, 18L, 105.5, "Control", "Female", 0, 1, 17L,
4, 19L, 66.1, "NAFLD", "Female", 0, 0, 18L,
4, 20L, 58.5, "NAFLD", "Female", 0, 0, 19L,
4, 21L, 61.6, "NAFLD", "Male", 1, 0, 20L,
4, 22L, 42.5, "Control", "Male", 1, 1, 21L,
4, 23L, 105.3, "Control", "Female", 0, 1, 22L,
4, 24L, 42.1, "NAFLD", "Male", 1, 0, 23L,
4, 25L, 80.3, "NAFLD", "Female", 0, 0, 24L,
4, 26L, 98.4, "NAFLD", "Female", 0, 0, 25L,
4, 27L, 29.7, "NAFLD", "Male", 1, 0, 26L,
4, 28L, 68.6, "Control", "Female", 0, 1, 27L,
4, 29L, 91.4, "Control", "Female", 0, 1, 28L,
4, 30L, 71.3, "Control", "Female", 0, 1, 29L,
4, 31L, 90.3, "Control", "Female", 0, 1, 30L,
4, 32L, 58.3, "NAFLD", "Male", 1, 0, 31L,
4, 33L, 41.8, "NAFLD", "Male", 1, 0, 32L,
4, 34L, 32.3, "NAFLD", "Male", 1, 0, 33L,
4, 35L, 79.6, "NAFLD", "Female", 0, 0, 34L,
4, 36L, 57, "NAFLD", "Female", 0, 0, 35L,
4, 37L, 43.9, "NAFLD", "Male", 1, 0, 36L,
6, 1L, 42.2, "NAFLD", "Male", 1, 0, 1L,
6, 3L, 70, "NAFLD", "Female", 0, 0, 2L,
6, 4L, 119, "NAFLD", "Female", 0, 0, 3L,
6, 5L, 77.4, "NAFLD", "Female", 0, 0, 4L,
6, 6L, 94.2, "NAFLD", "Female", 0, 0, 5L,
6, 7L, 65.2, "Control", "Female", 0, 1, 6L,
6, 8L, 53.6, "Control", "Male", 1, 1, 7L,
6, 9L, 93.6, "Control", "Female", 0, 1, 8L,
6, 10L, 52.4, "Control", "Female", 0, 1, 9L,
6, 11L, 37.8, "NAFLD", "Male", 1, 0, 10L,
6, 12L, 64.6, "NAFLD", "Female", 0, 0, 11L,
6, 13L, 79.3, "Control", "Female", 0, 1, 12L,
6, 14L, 44.7, "NAFLD", "Female", 0, 0, 13L,
6, 15L, 41.7, "NAFLD", "Male", 1, 0, 14L,
6, 16L, 16.7, "NAFLD", "Male", 1, 0, 15L,
6, 17L, 43.1, "NAFLD", "Female", 0, 0, 16L,
6, 18L, 65.2, "Control", "Female", 0, 1, 17L,
6, 19L, 52.5, "NAFLD", "Female", 0, 0, 18L,
6, 20L, 39, "NAFLD", "Female", 0, 0, 19L,
6, 21L, 43.2, "NAFLD", "Male", 1, 0, 20L,
6, 22L, 32.4, "Control", "Male", 1, 1, 21L,
6, 23L, 57.5, "Control", "Female", 0, 1, 22L,
6, 24L, 31.3, "NAFLD", "Male", 1, 0, 23L,
6, 25L, 56.2, "NAFLD", "Female", 0, 0, 24L,
6, 26L, 59.4, "NAFLD", "Female", 0, 0, 25L,
6, 27L, 22.4, "NAFLD", "Male", 1, 0, 26L,
6, 28L, 45.5, "Control", "Female", 0, 1, 27L,
6, 29L, 57.9, "Control", "Female", 0, 1, 28L,
6, 30L, 55.9, "Control", "Female", 0, 1, 29L,
6, 31L, 62.3, "Control", "Female", 0, 1, 30L,
6, 32L, 38.8, "NAFLD", "Male", 1, 0, 31L,
6, 33L, 33, "NAFLD", "Male", 1, 0, 32L,
6, 34L, 30, "NAFLD", "Male", 1, 0, 33L,
6, 35L, 74.1, "NAFLD", "Female", 0, 0, 34L,
6, 36L, 42.8, "NAFLD", "Female", 0, 0, 35L,
6, 37L, 37, "NAFLD", "Male", 1, 0, 36L,
8, 1L, 23.4, "NAFLD", "Male", 1, 0, 1L,
8, 3L, 40.1, "NAFLD", "Female", 0, 0, 2L,
8, 4L, 89.2, "NAFLD", "Female", 0, 0, 3L,
8, 5L, 50.1, "NAFLD", "Female", 0, 0, 4L,
8, 6L, 62.7, "NAFLD", "Female", 0, 0, 5L,
8, 7L, 49.4, "Control", "Female", 0, 1, 6L,
8, 8L, 37.8, "Control", "Male", 1, 1, 7L,
8, 9L, 73.6, "Control", "Female", 0, 1, 8L,
8, 10L, 35.4, "Control", "Female", 0, 1, 9L,
8, 11L, 27.5, "NAFLD", "Male", 1, 0, 10L,
8, 12L, 48.2, "NAFLD", "Female", 0, 0, 11L,
8, 13L, 57.3, "Control", "Female", 0, 1, 12L,
8, 14L, 34.1, "NAFLD", "Female", 0, 0, 13L,
8, 15L, 31.4, "NAFLD", "Male", 1, 0, 14L,
8, 16L, 12.6, "NAFLD", "Male", 1, 0, 15L,
8, 17L, 34.6, "NAFLD", "Female", 0, 0, 16L,
8, 18L, 37.5, "Control", "Female", 0, 1, 17L,
8, 19L, 47.7, "NAFLD", "Female", 0, 0, 18L,
8, 20L, 27.4, "NAFLD", "Female", 0, 0, 19L,
8, 21L, 31.1, "NAFLD", "Male", 1, 0, 20L,
8, 22L, 21.6, "Control", "Male", 1, 1, 21L,
8, 23L, 35.9, "Control", "Female", 0, 1, 22L,
8, 24L, 21.1, "NAFLD", "Male", 1, 0, 23L,
8, 25L, 38.2, "NAFLD", "Female", 0, 0, 24L,
8, 26L, 42.3, "NAFLD", "Female", 0, 0, 25L,
8, 27L, 17.4, "NAFLD", "Male", 1, 0, 26L,
8, 28L, 39.1, "Control", "Female", 0, 1, 27L,
8, 29L, 43.1, "Control", "Female", 0, 1, 28L,
8, 30L, 42.9, "Control", "Female", 0, 1, 29L,
8, 31L, 43, "Control", "Female", 0, 1, 30L,
8, 32L, 27.7, "NAFLD", "Male", 1, 0, 31L,
8, 33L, 24.2, "NAFLD", "Male", 1, 0, 32L,
8, 34L, 30.5, "NAFLD", "Male", 1, 0, 33L,
8, 35L, 61, "NAFLD", "Female", 0, 0, 34L,
8, 36L, 39.4, "NAFLD", "Female", 0, 0, 35L,
8, 37L, 27.8, "NAFLD", "Male", 1, 0, 36L,
10, 1L, 16.4, "NAFLD", "Male", 1, 0, 1L,
10, 3L, 26.8, "NAFLD", "Female", 0, 0, 2L,
10, 4L, 65.9, "NAFLD", "Female", 0, 0, 3L,
10, 5L, 42, "NAFLD", "Female", 0, 0, 4L,
10, 6L, 35.6, "NAFLD", "Female", 0, 0, 5L,
10, 7L, 37.2, "Control", "Female", 0, 1, 6L,
10, 8L, 31.1, "Control", "Male", 1, 1, 7L,
10, 9L, 62.3, "Control", "Female", 0, 1, 8L,
10, 10L, 31.4, "Control", "Female", 0, 1, 9L,
10, 11L, 23.1, "NAFLD", "Male", 1, 0, 10L,
10, 12L, 33.6, "NAFLD", "Female", 0, 0, 11L,
10, 13L, 44.1, "Control", "Female", 0, 1, 12L,
10, 14L, 26.2, "NAFLD", "Female", 0, 0, 13L,
10, 15L, 26.1, "NAFLD", "Male", 1, 0, 14L,
10, 16L, 8.9, "NAFLD", "Male", 1, 0, 15L,
10, 17L, 25, "NAFLD", "Female", 0, 0, 16L,
10, 18L, 27.8, "Control", "Female", 0, 1, 17L,
10, 19L, 38.3, "NAFLD", "Female", 0, 0, 18L,
10, 20L, 23.1, "NAFLD", "Female", 0, 0, 19L,
10, 21L, 29, "NAFLD", "Male", 1, 0, 20L,
10, 22L, 17.4, "Control", "Male", 1, 1, 21L,
10, 23L, 22.5, "Control", "Female", 0, 1, 22L,
10, 24L, 17, "NAFLD", "Male", 1, 0, 23L,
10, 25L, 27.8, "NAFLD", "Female", 0, 0, 24L,
10, 26L, 33, "NAFLD", "Female", 0, 0, 25L,
10, 27L, 15.8, "NAFLD", "Male", 1, 0, 26L,
10, 28L, 18.3, "Control", "Female", 0, 1, 27L,
10, 29L, 33, "Control", "Female", 0, 1, 28L,
10, 30L, 35.5, "Control", "Female", 0, 1, 29L,
10, 31L, 30.6, "Control", "Female", 0, 1, 30L,
10, 32L, 19.9, "NAFLD", "Male", 1, 0, 31L,
10, 33L, 20.8, "NAFLD", "Male", 1, 0, 32L,
10, 34L, 25.4, "NAFLD", "Male", 1, 0, 33L,
10, 35L, 50.7, "NAFLD", "Female", 0, 0, 34L,
10, 36L, 37.6, "NAFLD", "Female", 0, 0, 35L,
10, 37L, 21.8, "NAFLD", "Male", 1, 0, 36L,
12, 1L, 32.9, "NAFLD", "Male", 1, 0, 1L,
12, 3L, 21, "NAFLD", "Female", 0, 0, 2L,
12, 4L, 49.6, "NAFLD", "Female", 0, 0, 3L,
12, 5L, 33.4, "NAFLD", "Female", 0, 0, 4L,
12, 6L, 48.4, "NAFLD", "Female", 0, 0, 5L,
12, 7L, 25.4, "Control", "Female", 0, 1, 6L,
12, 8L, 21.4, "Control", "Male", 1, 1, 7L,
12, 9L, 53.9, "Control", "Female", 0, 1, 8L,
12, 10L, 20.9, "Control", "Female", 0, 1, 9L,
12, 11L, 16, "NAFLD", "Male", 1, 0, 10L,
12, 12L, 24.9, "NAFLD", "Female", 0, 0, 11L,
12, 13L, 32.1, "Control", "Female", 0, 1, 12L,
12, 14L, 23.7, "NAFLD", "Female", 0, 0, 13L,
12, 15L, 16.9, "NAFLD", "Male", 1, 0, 14L,
12, 16L, 4.7, "NAFLD", "Male", 1, 0, 15L,
12, 17L, 19.6, "NAFLD", "Female", 0, 0, 16L,
12, 18L, 18.8, "Control", "Female", 0, 1, 17L,
12, 19L, 24.3, "NAFLD", "Female", 0, 0, 18L,
12, 20L, 19.3, "NAFLD", "Female", 0, 0, 19L,
12, 21L, 19.6, "NAFLD", "Male", 1, 0, 20L,
12, 22L, 11.2, "Control", "Male", 1, 1, 21L,
12, 23L, 13.8, "Control", "Female", 0, 1, 22L,
12, 24L, 8.7, "NAFLD", "Male", 1, 0, 23L,
12, 25L, 18, "NAFLD", "Female", 0, 0, 24L,
12, 26L, 22.5, "NAFLD", "Female", 0, 0, 25L,
12, 27L, 10.8, "NAFLD", "Male", 1, 0, 26L,
12, 28L, 12.3, "Control", "Female", 0, 1, 27L,
12, 29L, 20, "Control", "Female", 0, 1, 28L,
12, 30L, 23.8, "Control", "Female", 0, 1, 29L,
12, 31L, 21, "Control", "Female", 0, 1, 30L,
12, 32L, 14.4, "NAFLD", "Male", 1, 0, 31L,
12, 33L, 13.7, "NAFLD", "Male", 1, 0, 32L,
12, 34L, 17.5, "NAFLD", "Male", 1, 0, 33L,
12, 35L, 41.9, "NAFLD", "Female", 0, 0, 34L,
12, 36L, 26.9, "NAFLD", "Female", 0, 0, 35L,
12, 37L, 14.6, "NAFLD", "Male", 1, 0, 36L
)