Preclinical - reproducibility of hepatocellular function#

Ebony Gunwhy.

This example illustrates the use of Liver for fitting of signals measured in liver. The use case is provided by the liver work package of the TRISTAN project which develops imaging biomarkers for drug safety assessment. The data and analysis were first published in Gunwhy et al. (2024).

The specific objective of the study was to to identify the main sources of variability in DCE-MRI biomarkers of hepatocellular function in rats. This was done by comparing data measured at different centres and field strengths, at different days in the same subjects, and over the course of several months in the same centre.

The study presented here measured gadoxetate uptake and excretion in healthy rats either scanned once with vehicle or twice with either vehicle or 10 mg/kg of rifampicin at follow-up. Studies were performed in preclinical MRI scanners at 3 different centers and 2 different field strengths. Results demonstrated significant differences between substudies for uptake and excretion. Within-subject differences were substantially smaller for excretion but less so for uptake. Rifampicin-induced inhibition was safely above the detection limits for both uptake and excretion. Most of the variability in individual data was accounted for by between-subject and between-centre variability, substantially more than the between-day variation. Significant differences in excretion were observed between field strengths at the same centre, between centres at the same field strength, and between repeat experiments over 2 months apart in the same centre.

Reference

Gunwhy ER, Hines CDG, Green C, Laitinen I, Tadimalla S, Hockings PD, Schütz G, Kenna JG, Sourbron S, Waterton JC. Assessment of hepatic transporter function in rats using dynamic gadoxetate-enhanced MRI: a reproducibility study. MAGMA. 2024 Aug;37(4):697-708. [DOI]

Setup#

# Import packages
import pandas as pd
import numpy as np
import matplotlib.pyplot as plt
import seaborn as sns
import pydmr
import dcmri as dc

# Fetch the data
dmrfile = dc.fetch('tristan_rats_healthy_reproducibility')
data = pydmr.read(dmrfile, 'nest')
rois, pars = data['rois'], data['pars']

Model definition#

In order to avoid some repetition in this script, we define a function that returns a trained model for a single dataset.

The model uses a standardized, population-average input function and fits for only 2 parameters, fixing all other free parameters to typical values for this rat model:

def tristan_rat(roi, par, **kwargs):

    # High-resolution time points for prediction
    t = np.arange(0, np.amax(roi['time'])+0.5, 0.5)

    # Standard input function
    ca = dc.aif_tristan_rat(t, BAT=par['BAT'], duration=par['duration'])

    # Liver model with population input function
    model = dc.Liver(

        # Input parameters
        t = t,
        ca = ca,

        # Acquisition parameters
        field_strength = par['field_strength'],
        TR = par['TR'],
        FA = par['FA'],
        n0 = par['n0'],

        # Configure as in the TRISTAN-rat study
        config = 'TRISTAN-rat',
    )
    return model.train(roi['time'], roi['liver'], **kwargs)

Check model fit#

Before running the full analysis on all cases, lets illustrate the results by fitting the baseline visit for the first subject. We use maximum verbosity to get some feedback about the iterations:

model = tristan_rat(
    rois['S01-01']['Day_1'],
    pars['S01-01']['Day_1'],
    xtol=1e-3,
    verbose=2,
)
   Iteration     Total nfev        Cost      Cost reduction    Step norm     Optimality
       0              1         1.1566e+02                                    2.83e+04
       1              3         5.9371e+01      5.63e+01       4.50e+02       4.55e+03
       2              5         4.9338e+01      1.00e+01       3.37e+02       2.29e+03
       3              6         3.7455e+01      1.19e+01       5.84e+02       7.47e+03
       4              7         1.8533e+01      1.89e+01       3.67e+01       7.67e+02
       5              8         1.5677e+01      2.86e+00       1.26e+02       1.58e+03
       6              9         1.3881e+01      1.80e+00       2.61e+00       3.34e+01
       7             10         1.3881e+01      8.55e-04       1.56e-02       3.45e-02
`xtol` termination condition is satisfied.
Function evaluations 10, initial cost 1.1566e+02, final cost 1.3881e+01, first-order optimality 3.45e-02.

Plot the results to check that the model has fitted the data:

model.plot(
    rois['S01-01']['Day_1']['time'],
    rois['S01-01']['Day_1']['liver'],
)
Prediction of the MRI signals., Reconstruction of concentrations.

Print the measured model parameters and any derived parameters and check that standard deviations of measured parameters are small relative to the value, indicating that the parameters are measured reliably:

model.print_params(round_to=3)
--------------------------------
Free parameters with their stdev
--------------------------------

Hepatocellular uptake rate (khe): 0.023 (0.003) mL/sec/cm3
Hepatocellular mean transit time (Th): 263.43 (33.158) sec

----------------------------
Fixed and derived parameters
----------------------------

Hematocrit (H): 0.418
Liver extracellular volume fraction (ve): 0.23 mL/cm3
Biliary tissue excretion rate (Kbh): 0.004 mL/sec/cm3
Hepatocellular tissue uptake rate (Khe): 0.101 mL/sec/cm3
Biliary excretion rate (kbh): 0.003 mL/sec/cm3
Liver extraction fraction (E): 0.513
Hepatic plasma clearance (Ktrans): 0.011 mL/sec/cm3

Fit all data#

Now that we have illustrated an individual result in some detail, we proceed with fitting all the data. Results are stored in a dataframe in long format:

results = []

# Loop over all datasets
for subj in rois.keys():
    for visit in rois[subj].keys():

        roi = rois[subj][visit]
        par = pars[subj][visit]

        # Generate a trained model
        model = tristan_rat(roi, par, xtol=1e-3)

        # Export fitted parameters as lists
        rows = model.export_params(type='list')

        # Add study, visit and subject info
        rows = [row + [par['study'], par['visit'], subj] for row in rows]

        # Add to the list of all results
        results += rows

# Combine all results into a single dataframe.
cols = ['parameter', 'name', 'value', 'unit', 'stdev', 'study',
        'visit', 'subject']
results = pd.DataFrame(results, columns=cols)

# Print all results
print(results.to_string())
    parameter                                 name         value        unit          stdev  study  visit subject
0           H                           Hematocrit      0.418000                   0.000000      1      1  S01-01
1          ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      1      1  S01-01
2         khe           Hepatocellular uptake rate      0.023169  mL/sec/cm3       0.002680      1      1  S01-01
3          Th     Hepatocellular mean transit time    263.430181         sec      33.157686      1      1  S01-01
4         Kbh        Biliary tissue excretion rate      0.003796  mL/sec/cm3       0.000000      1      1  S01-01
5         Khe    Hepatocellular tissue uptake rate      0.100733  mL/sec/cm3       0.000000      1      1  S01-01
6         kbh               Biliary excretion rate      0.002923  mL/sec/cm3       0.000000      1      1  S01-01
7           E            Liver extraction fraction      0.512720                   0.000000      1      1  S01-01
8      Ktrans             Hepatic plasma clearance      0.011290  mL/sec/cm3       0.000000      1      1  S01-01
9           H                           Hematocrit      0.418000                   0.000000      1      2  S01-01
10         ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      1      2  S01-01
11        khe           Hepatocellular uptake rate      0.021450  mL/sec/cm3       0.003795      1      2  S01-01
12         Th     Hepatocellular mean transit time    239.891180         sec      45.997190      1      2  S01-01
13        Kbh        Biliary tissue excretion rate      0.004169  mL/sec/cm3       0.000000      1      2  S01-01
14        Khe    Hepatocellular tissue uptake rate      0.093262  mL/sec/cm3       0.000000      1      2  S01-01
15        kbh               Biliary excretion rate      0.003210  mL/sec/cm3       0.000000      1      2  S01-01
16          E            Liver extraction fraction      0.493458                   0.000000      1      2  S01-01
17     Ktrans             Hepatic plasma clearance      0.010865  mL/sec/cm3       0.000000      1      2  S01-01
18          H                           Hematocrit      0.418000                   0.000000      1      1  S01-02
19         ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      1      1  S01-02
20        khe           Hepatocellular uptake rate      0.023849  mL/sec/cm3       0.002364      1      1  S01-02
21         Th     Hepatocellular mean transit time    256.805196         sec      27.585677      1      1  S01-02
22        Kbh        Biliary tissue excretion rate      0.003894  mL/sec/cm3       0.000000      1      1  S01-02
23        Khe    Hepatocellular tissue uptake rate      0.103689  mL/sec/cm3       0.000000      1      1  S01-02
24        kbh               Biliary excretion rate      0.002998  mL/sec/cm3       0.000000      1      1  S01-02
25          E            Liver extraction fraction      0.519944                   0.000000      1      1  S01-02
26     Ktrans             Hepatic plasma clearance      0.011449  mL/sec/cm3       0.000000      1      1  S01-02
27          H                           Hematocrit      0.418000                   0.000000      1      2  S01-02
28         ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      1      2  S01-02
29        khe           Hepatocellular uptake rate      0.022991  mL/sec/cm3       0.002509      1      2  S01-02
30         Th     Hepatocellular mean transit time    257.543111         sec      30.531118      1      2  S01-02
31        Kbh        Biliary tissue excretion rate      0.003883  mL/sec/cm3       0.000000      1      2  S01-02
32        Khe    Hepatocellular tissue uptake rate      0.099963  mL/sec/cm3       0.000000      1      2  S01-02
33        kbh               Biliary excretion rate      0.002990  mL/sec/cm3       0.000000      1      2  S01-02
34          E            Liver extraction fraction      0.510802                   0.000000      1      2  S01-02
35     Ktrans             Hepatic plasma clearance      0.011247  mL/sec/cm3       0.000000      1      2  S01-02
36          H                           Hematocrit      0.418000                   0.000000      1      1  S01-03
37         ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      1      1  S01-03
38        khe           Hepatocellular uptake rate      0.021201  mL/sec/cm3       0.001935      1      1  S01-03
39         Th     Hepatocellular mean transit time    252.047161         sec      25.047422      1      1  S01-03
40        Kbh        Biliary tissue excretion rate      0.003968  mL/sec/cm3       0.000000      1      1  S01-03
41        Khe    Hepatocellular tissue uptake rate      0.092177  mL/sec/cm3       0.000000      1      1  S01-03
42        kbh               Biliary excretion rate      0.003055  mL/sec/cm3       0.000000      1      1  S01-03
43          E            Liver extraction fraction      0.490534                   0.000000      1      1  S01-03
44     Ktrans             Hepatic plasma clearance      0.010801  mL/sec/cm3       0.000000      1      1  S01-03
45          H                           Hematocrit      0.418000                   0.000000      1      2  S01-03
46         ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      1      2  S01-03
47        khe           Hepatocellular uptake rate      0.018110  mL/sec/cm3       0.000747      1      2  S01-03
48         Th     Hepatocellular mean transit time    387.301380         sec      18.829879      1      2  S01-03
49        Kbh        Biliary tissue excretion rate      0.002582  mL/sec/cm3       0.000000      1      2  S01-03
50        Khe    Hepatocellular tissue uptake rate      0.078739  mL/sec/cm3       0.000000      1      2  S01-03
51        kbh               Biliary excretion rate      0.001988  mL/sec/cm3       0.000000      1      2  S01-03
52          E            Liver extraction fraction      0.451296                   0.000000      1      2  S01-03
53     Ktrans             Hepatic plasma clearance      0.009937  mL/sec/cm3       0.000000      1      2  S01-03
54          H                           Hematocrit      0.418000                   0.000000      1      1  S01-04
55         ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      1      1  S01-04
56        khe           Hepatocellular uptake rate      0.011768  mL/sec/cm3       0.001066      1      1  S01-04
57         Th     Hepatocellular mean transit time    400.522269         sec      43.897894      1      1  S01-04
58        Kbh        Biliary tissue excretion rate      0.002497  mL/sec/cm3       0.000000      1      1  S01-04
59        Khe    Hepatocellular tissue uptake rate      0.051165  mL/sec/cm3       0.000000      1      1  S01-04
60        kbh               Biliary excretion rate      0.001922  mL/sec/cm3       0.000000      1      1  S01-04
61          E            Liver extraction fraction      0.348299                   0.000000      1      1  S01-04
62     Ktrans             Hepatic plasma clearance      0.007669  mL/sec/cm3       0.000000      1      1  S01-04
63          H                           Hematocrit      0.418000                   0.000000      1      2  S01-04
64         ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      1      2  S01-04
65        khe           Hepatocellular uptake rate      0.006274  mL/sec/cm3       0.000476      1      2  S01-04
66         Th     Hepatocellular mean transit time    686.958253         sec      79.663045      1      2  S01-04
67        Kbh        Biliary tissue excretion rate      0.001456  mL/sec/cm3       0.000000      1      2  S01-04
68        Khe    Hepatocellular tissue uptake rate      0.027280  mL/sec/cm3       0.000000      1      2  S01-04
69        kbh               Biliary excretion rate      0.001121  mL/sec/cm3       0.000000      1      2  S01-04
70          E            Liver extraction fraction      0.221764                   0.000000      1      2  S01-04
71     Ktrans             Hepatic plasma clearance      0.004883  mL/sec/cm3       0.000000      1      2  S01-04
72          H                           Hematocrit      0.418000                   0.000000      1      1  S01-05
73         ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      1      1  S01-05
74        khe           Hepatocellular uptake rate      0.025264  mL/sec/cm3       0.003318      1      1  S01-05
75         Th     Hepatocellular mean transit time    204.782430         sec      28.619821      1      1  S01-05
76        Kbh        Biliary tissue excretion rate      0.004883  mL/sec/cm3       0.000000      1      1  S01-05
77        Khe    Hepatocellular tissue uptake rate      0.109844  mL/sec/cm3       0.000000      1      1  S01-05
78        kbh               Biliary excretion rate      0.003760  mL/sec/cm3       0.000000      1      1  S01-05
79          E            Liver extraction fraction      0.534316                   0.000000      1      1  S01-05
80     Ktrans             Hepatic plasma clearance      0.011765  mL/sec/cm3       0.000000      1      1  S01-05
81          H                           Hematocrit      0.418000                   0.000000      1      2  S01-05
82         ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      1      2  S01-05
83        khe           Hepatocellular uptake rate      0.003006  mL/sec/cm3       0.000416      1      2  S01-05
84         Th     Hepatocellular mean transit time    686.843798         sec     146.465310      1      2  S01-05
85        Kbh        Biliary tissue excretion rate      0.001456  mL/sec/cm3       0.000000      1      2  S01-05
86        Khe    Hepatocellular tissue uptake rate      0.013069  mL/sec/cm3       0.000000      1      2  S01-05
87        kbh               Biliary excretion rate      0.001121  mL/sec/cm3       0.000000      1      2  S01-05
88          E            Liver extraction fraction      0.120119                   0.000000      1      2  S01-05
89     Ktrans             Hepatic plasma clearance      0.002645  mL/sec/cm3       0.000000      1      2  S01-05
90          H                           Hematocrit      0.418000                   0.000000      1      1  S01-06
91         ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      1      1  S01-06
92        khe           Hepatocellular uptake rate      0.020590  mL/sec/cm3       0.002698      1      1  S01-06
93         Th     Hepatocellular mean transit time    231.844674         sec      32.910379      1      1  S01-06
94        Kbh        Biliary tissue excretion rate      0.004313  mL/sec/cm3       0.000000      1      1  S01-06
95        Khe    Hepatocellular tissue uptake rate      0.089523  mL/sec/cm3       0.000000      1      1  S01-06
96        kbh               Biliary excretion rate      0.003321  mL/sec/cm3       0.000000      1      1  S01-06
97          E            Liver extraction fraction      0.483235                   0.000000      1      1  S01-06
98     Ktrans             Hepatic plasma clearance      0.010640  mL/sec/cm3       0.000000      1      1  S01-06
99          H                           Hematocrit      0.418000                   0.000000      1      2  S01-06
100        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      1      2  S01-06
101       khe           Hepatocellular uptake rate      0.004487  mL/sec/cm3       0.000537      1      2  S01-06
102        Th     Hepatocellular mean transit time    542.548884         sec      88.978158      1      2  S01-06
103       Kbh        Biliary tissue excretion rate      0.001843  mL/sec/cm3       0.000000      1      2  S01-06
104       Khe    Hepatocellular tissue uptake rate      0.019511  mL/sec/cm3       0.000000      1      2  S01-06
105       kbh               Biliary excretion rate      0.001419  mL/sec/cm3       0.000000      1      2  S01-06
106         E            Liver extraction fraction      0.169296                   0.000000      1      2  S01-06
107    Ktrans             Hepatic plasma clearance      0.003728  mL/sec/cm3       0.000000      1      2  S01-06
108         H                           Hematocrit      0.418000                   0.000000      2      1  S02-01
109        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      2      1  S02-01
110       khe           Hepatocellular uptake rate      0.037456  mL/sec/cm3       0.002278      2      1  S02-01
111        Th     Hepatocellular mean transit time    263.343114         sec      17.126326      2      1  S02-01
112       Kbh        Biliary tissue excretion rate      0.003797  mL/sec/cm3       0.000000      2      1  S02-01
113       Khe    Hepatocellular tissue uptake rate      0.162851  mL/sec/cm3       0.000000      2      1  S02-01
114       kbh               Biliary excretion rate      0.002924  mL/sec/cm3       0.000000      2      1  S02-01
115         E            Liver extraction fraction      0.629775                   0.000000      2      1  S02-01
116    Ktrans             Hepatic plasma clearance      0.013867  mL/sec/cm3       0.000000      2      1  S02-01
117         H                           Hematocrit      0.418000                   0.000000      2      2  S02-01
118        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      2      2  S02-01
119       khe           Hepatocellular uptake rate      0.009023  mL/sec/cm3       0.000715      2      2  S02-01
120        Th     Hepatocellular mean transit time    274.650138         sec      24.787812      2      2  S02-01
121       Kbh        Biliary tissue excretion rate      0.003641  mL/sec/cm3       0.000000      2      2  S02-01
122       Khe    Hepatocellular tissue uptake rate      0.039232  mL/sec/cm3       0.000000      2      2  S02-01
123       kbh               Biliary excretion rate      0.002804  mL/sec/cm3       0.000000      2      2  S02-01
124         E            Liver extraction fraction      0.290678                   0.000000      2      2  S02-01
125    Ktrans             Hepatic plasma clearance      0.006400  mL/sec/cm3       0.000000      2      2  S02-01
126         H                           Hematocrit      0.418000                   0.000000      2      1  S02-02
127        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      2      1  S02-02
128       khe           Hepatocellular uptake rate      0.046177  mL/sec/cm3       0.006077      2      1  S02-02
129        Th     Hepatocellular mean transit time    144.766839         sec      19.640891      2      1  S02-02
130       Kbh        Biliary tissue excretion rate      0.006908  mL/sec/cm3       0.000000      2      1  S02-02
131       Khe    Hepatocellular tissue uptake rate      0.200771  mL/sec/cm3       0.000000      2      1  S02-02
132       kbh               Biliary excretion rate      0.005319  mL/sec/cm3       0.000000      2      1  S02-02
133         E            Liver extraction fraction      0.677124                   0.000000      2      1  S02-02
134    Ktrans             Hepatic plasma clearance      0.014910  mL/sec/cm3       0.000000      2      1  S02-02
135         H                           Hematocrit      0.418000                   0.000000      2      2  S02-02
136        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      2      2  S02-02
137       khe           Hepatocellular uptake rate      0.026697  mL/sec/cm3       0.001284      2      2  S02-02
138        Th     Hepatocellular mean transit time    268.686517         sec      14.131291      2      2  S02-02
139       Kbh        Biliary tissue excretion rate      0.003722  mL/sec/cm3       0.000000      2      2  S02-02
140       Khe    Hepatocellular tissue uptake rate      0.116073  mL/sec/cm3       0.000000      2      2  S02-02
141       kbh               Biliary excretion rate      0.002866  mL/sec/cm3       0.000000      2      2  S02-02
142         E            Liver extraction fraction      0.548011                   0.000000      2      2  S02-02
143    Ktrans             Hepatic plasma clearance      0.012067  mL/sec/cm3       0.000000      2      2  S02-02
144         H                           Hematocrit      0.418000                   0.000000      2      1  S02-03
145        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      2      1  S02-03
146       khe           Hepatocellular uptake rate      0.042474  mL/sec/cm3       0.003649      2      1  S02-03
147        Th     Hepatocellular mean transit time    155.541749         sec      13.858278      2      1  S02-03
148       Kbh        Biliary tissue excretion rate      0.006429  mL/sec/cm3       0.000000      2      1  S02-03
149       Khe    Hepatocellular tissue uptake rate      0.184670  mL/sec/cm3       0.000000      2      1  S02-03
150       kbh               Biliary excretion rate      0.004950  mL/sec/cm3       0.000000      2      1  S02-03
151         E            Liver extraction fraction      0.658583                   0.000000      2      1  S02-03
152    Ktrans             Hepatic plasma clearance      0.014501  mL/sec/cm3       0.000000      2      1  S02-03
153         H                           Hematocrit      0.418000                   0.000000      2      2  S02-03
154        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      2      2  S02-03
155       khe           Hepatocellular uptake rate      0.029353  mL/sec/cm3       0.002311      2      2  S02-03
156        Th     Hepatocellular mean transit time    167.336098         sec      13.963931      2      2  S02-03
157       Kbh        Biliary tissue excretion rate      0.005976  mL/sec/cm3       0.000000      2      2  S02-03
158       Khe    Hepatocellular tissue uptake rate      0.127621  mL/sec/cm3       0.000000      2      2  S02-03
159       kbh               Biliary excretion rate      0.004602  mL/sec/cm3       0.000000      2      2  S02-03
160         E            Liver extraction fraction      0.571380                   0.000000      2      2  S02-03
161    Ktrans             Hepatic plasma clearance      0.012581  mL/sec/cm3       0.000000      2      2  S02-03
162         H                           Hematocrit      0.418000                   0.000000      2      1  S02-04
163        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      2      1  S02-04
164       khe           Hepatocellular uptake rate      0.024410  mL/sec/cm3       0.001687      2      1  S02-04
165        Th     Hepatocellular mean transit time    177.208076         sec      13.113188      2      1  S02-04
166       Kbh        Biliary tissue excretion rate      0.005643  mL/sec/cm3       0.000000      2      1  S02-04
167       Khe    Hepatocellular tissue uptake rate      0.106131  mL/sec/cm3       0.000000      2      1  S02-04
168       kbh               Biliary excretion rate      0.004345  mL/sec/cm3       0.000000      2      1  S02-04
169         E            Liver extraction fraction      0.525751                   0.000000      2      1  S02-04
170    Ktrans             Hepatic plasma clearance      0.011577  mL/sec/cm3       0.000000      2      1  S02-04
171         H                           Hematocrit      0.418000                   0.000000      2      2  S02-04
172        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      2      2  S02-04
173       khe           Hepatocellular uptake rate      0.001967  mL/sec/cm3       0.000277      2      2  S02-04
174        Th     Hepatocellular mean transit time    679.796147         sec     146.813853      2      2  S02-04
175       Kbh        Biliary tissue excretion rate      0.001471  mL/sec/cm3       0.000000      2      2  S02-04
176       Khe    Hepatocellular tissue uptake rate      0.008554  mL/sec/cm3       0.000000      2      2  S02-04
177       kbh               Biliary excretion rate      0.001133  mL/sec/cm3       0.000000      2      2  S02-04
178         E            Liver extraction fraction      0.082020                   0.000000      2      2  S02-04
179    Ktrans             Hepatic plasma clearance      0.001806  mL/sec/cm3       0.000000      2      2  S02-04
180         H                           Hematocrit      0.418000                   0.000000      2      1  S02-05
181        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      2      1  S02-05
182       khe           Hepatocellular uptake rate      0.015335  mL/sec/cm3       0.001688      2      1  S02-05
183        Th     Hepatocellular mean transit time    138.623210         sec      16.490173      2      1  S02-05
184       Kbh        Biliary tissue excretion rate      0.007214  mL/sec/cm3       0.000000      2      1  S02-05
185       Khe    Hepatocellular tissue uptake rate      0.066675  mL/sec/cm3       0.000000      2      1  S02-05
186       kbh               Biliary excretion rate      0.005555  mL/sec/cm3       0.000000      2      1  S02-05
187         E            Liver extraction fraction      0.410535                   0.000000      2      1  S02-05
188    Ktrans             Hepatic plasma clearance      0.009040  mL/sec/cm3       0.000000      2      1  S02-05
189         H                           Hematocrit      0.418000                   0.000000      2      2  S02-05
190        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      2      2  S02-05
191       khe           Hepatocellular uptake rate      0.005066  mL/sec/cm3       0.000557      2      2  S02-05
192        Th     Hepatocellular mean transit time    450.426317         sec      63.340137      2      2  S02-05
193       Kbh        Biliary tissue excretion rate      0.002220  mL/sec/cm3       0.000000      2      2  S02-05
194       Khe    Hepatocellular tissue uptake rate      0.022025  mL/sec/cm3       0.000000      2      2  S02-05
195       kbh               Biliary excretion rate      0.001709  mL/sec/cm3       0.000000      2      2  S02-05
196         E            Liver extraction fraction      0.187032                   0.000000      2      2  S02-05
197    Ktrans             Hepatic plasma clearance      0.004118  mL/sec/cm3       0.000000      2      2  S02-05
198         H                           Hematocrit      0.418000                   0.000000      2      1  S02-06
199        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      2      1  S02-06
200       khe           Hepatocellular uptake rate      0.024746  mL/sec/cm3       0.001155      2      1  S02-06
201        Th     Hepatocellular mean transit time    273.994877         sec      14.073563      2      1  S02-06
202       Kbh        Biliary tissue excretion rate      0.003650  mL/sec/cm3       0.000000      2      1  S02-06
203       Khe    Hepatocellular tissue uptake rate      0.107592  mL/sec/cm3       0.000000      2      1  S02-06
204       kbh               Biliary excretion rate      0.002810  mL/sec/cm3       0.000000      2      1  S02-06
205         E            Liver extraction fraction      0.529159                   0.000000      2      1  S02-06
206    Ktrans             Hepatic plasma clearance      0.011652  mL/sec/cm3       0.000000      2      1  S02-06
207         H                           Hematocrit      0.418000                   0.000000      2      2  S02-06
208        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      2      2  S02-06
209       khe           Hepatocellular uptake rate      0.005382  mL/sec/cm3       0.000350      2      2  S02-06
210        Th     Hepatocellular mean transit time    525.282002         sec      46.228462      2      2  S02-06
211       Kbh        Biliary tissue excretion rate      0.001904  mL/sec/cm3       0.000000      2      2  S02-06
212       Khe    Hepatocellular tissue uptake rate      0.023401  mL/sec/cm3       0.000000      2      2  S02-06
213       kbh               Biliary excretion rate      0.001466  mL/sec/cm3       0.000000      2      2  S02-06
214         E            Liver extraction fraction      0.196425                   0.000000      2      2  S02-06
215    Ktrans             Hepatic plasma clearance      0.004325  mL/sec/cm3       0.000000      2      2  S02-06
216         H                           Hematocrit      0.418000                   0.000000      3      1  S03-01
217        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      3      1  S03-01
218       khe           Hepatocellular uptake rate      0.023941  mL/sec/cm3       0.001109      3      1  S03-01
219        Th     Hepatocellular mean transit time    312.895297         sec      16.265444      3      1  S03-01
220       Kbh        Biliary tissue excretion rate      0.003196  mL/sec/cm3       0.000000      3      1  S03-01
221       Khe    Hepatocellular tissue uptake rate      0.104092  mL/sec/cm3       0.000000      3      1  S03-01
222       kbh               Biliary excretion rate      0.002461  mL/sec/cm3       0.000000      3      1  S03-01
223         E            Liver extraction fraction      0.520912                   0.000000      3      1  S03-01
224    Ktrans             Hepatic plasma clearance      0.011470  mL/sec/cm3       0.000000      3      1  S03-01
225         H                           Hematocrit      0.418000                   0.000000      3      2  S03-01
226        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      3      2  S03-01
227       khe           Hepatocellular uptake rate      0.033963  mL/sec/cm3       0.002174      3      2  S03-01
228        Th     Hepatocellular mean transit time    230.341863         sec      15.702421      3      2  S03-01
229       Kbh        Biliary tissue excretion rate      0.004341  mL/sec/cm3       0.000000      3      2  S03-01
230       Khe    Hepatocellular tissue uptake rate      0.147666  mL/sec/cm3       0.000000      3      2  S03-01
231       kbh               Biliary excretion rate      0.003343  mL/sec/cm3       0.000000      3      2  S03-01
232         E            Liver extraction fraction      0.606679                   0.000000      3      2  S03-01
233    Ktrans             Hepatic plasma clearance      0.013358  mL/sec/cm3       0.000000      3      2  S03-01
234         H                           Hematocrit      0.418000                   0.000000      3      1  S03-02
235        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      3      1  S03-02
236       khe           Hepatocellular uptake rate      0.027175  mL/sec/cm3       0.001716      3      1  S03-02
237        Th     Hepatocellular mean transit time    321.094122         sec      22.705135      3      1  S03-02
238       Kbh        Biliary tissue excretion rate      0.003114  mL/sec/cm3       0.000000      3      1  S03-02
239       Khe    Hepatocellular tissue uptake rate      0.118154  mL/sec/cm3       0.000000      3      1  S03-02
240       kbh               Biliary excretion rate      0.002398  mL/sec/cm3       0.000000      3      1  S03-02
241         E            Liver extraction fraction      0.552408                   0.000000      3      1  S03-02
242    Ktrans             Hepatic plasma clearance      0.012163  mL/sec/cm3       0.000000      3      1  S03-02
243         H                           Hematocrit      0.418000                   0.000000      3      2  S03-02
244        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      3      2  S03-02
245       khe           Hepatocellular uptake rate      0.018935  mL/sec/cm3       0.002050      3      2  S03-02
246        Th     Hepatocellular mean transit time    384.012709         sec      49.227981      3      2  S03-02
247       Kbh        Biliary tissue excretion rate      0.002604  mL/sec/cm3       0.000000      3      2  S03-02
248       Khe    Hepatocellular tissue uptake rate      0.082324  mL/sec/cm3       0.000000      3      2  S03-02
249       kbh               Biliary excretion rate      0.002005  mL/sec/cm3       0.000000      3      2  S03-02
250         E            Liver extraction fraction      0.462343                   0.000000      3      2  S03-02
251    Ktrans             Hepatic plasma clearance      0.010180  mL/sec/cm3       0.000000      3      2  S03-02
252         H                           Hematocrit      0.418000                   0.000000      3      1  S03-03
253        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      3      1  S03-03
254       khe           Hepatocellular uptake rate      0.021655  mL/sec/cm3       0.000687      3      1  S03-03
255        Th     Hepatocellular mean transit time    321.596201         sec      11.561816      3      1  S03-03
256       Kbh        Biliary tissue excretion rate      0.003109  mL/sec/cm3       0.000000      3      1  S03-03
257       Khe    Hepatocellular tissue uptake rate      0.094154  mL/sec/cm3       0.000000      3      1  S03-03
258       kbh               Biliary excretion rate      0.002394  mL/sec/cm3       0.000000      3      1  S03-03
259         E            Liver extraction fraction      0.495837                   0.000000      3      1  S03-03
260    Ktrans             Hepatic plasma clearance      0.010918  mL/sec/cm3       0.000000      3      1  S03-03
261         H                           Hematocrit      0.418000                   0.000000      3      2  S03-03
262        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      3      2  S03-03
263       khe           Hepatocellular uptake rate      0.017680  mL/sec/cm3       0.001322      3      2  S03-03
264        Th     Hepatocellular mean transit time    277.464317         sec      23.208925      3      2  S03-03
265       Kbh        Biliary tissue excretion rate      0.003604  mL/sec/cm3       0.000000      3      2  S03-03
266       Khe    Hepatocellular tissue uptake rate      0.076871  mL/sec/cm3       0.000000      3      2  S03-03
267       kbh               Biliary excretion rate      0.002775  mL/sec/cm3       0.000000      3      2  S03-03
268         E            Liver extraction fraction      0.445355                   0.000000      3      2  S03-03
269    Ktrans             Hepatic plasma clearance      0.009806  mL/sec/cm3       0.000000      3      2  S03-03
270         H                           Hematocrit      0.418000                   0.000000      3      1  S03-04
271        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      3      1  S03-04
272       khe           Hepatocellular uptake rate      0.034099  mL/sec/cm3       0.002864      3      1  S03-04
273        Th     Hepatocellular mean transit time    281.768411         sec      25.651358      3      1  S03-04
274       Kbh        Biliary tissue excretion rate      0.003549  mL/sec/cm3       0.000000      3      1  S03-04
275       Khe    Hepatocellular tissue uptake rate      0.148255  mL/sec/cm3       0.000000      3      1  S03-04
276       kbh               Biliary excretion rate      0.002733  mL/sec/cm3       0.000000      3      1  S03-04
277         E            Liver extraction fraction      0.607628                   0.000000      3      1  S03-04
278    Ktrans             Hepatic plasma clearance      0.013379  mL/sec/cm3       0.000000      3      1  S03-04
279         H                           Hematocrit      0.418000                   0.000000      3      2  S03-04
280        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      3      2  S03-04
281       khe           Hepatocellular uptake rate      0.000876  mL/sec/cm3       0.000235      3      2  S03-04
282        Th     Hepatocellular mean transit time  55013.106762         sec  919963.195838      3      2  S03-04
283       Kbh        Biliary tissue excretion rate      0.000018  mL/sec/cm3       0.000000      3      2  S03-04
284       Khe    Hepatocellular tissue uptake rate      0.003808  mL/sec/cm3       0.000000      3      2  S03-04
285       kbh               Biliary excretion rate      0.000014  mL/sec/cm3       0.000000      3      2  S03-04
286         E            Liver extraction fraction      0.038258                   0.000000      3      2  S03-04
287    Ktrans             Hepatic plasma clearance      0.000842  mL/sec/cm3       0.000000      3      2  S03-04
288         H                           Hematocrit      0.418000                   0.000000      3      1  S03-05
289        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      3      1  S03-05
290       khe           Hepatocellular uptake rate      0.019348  mL/sec/cm3       0.001308      3      1  S03-05
291        Th     Hepatocellular mean transit time    274.149443         sec      20.997595      3      1  S03-05
292       Kbh        Biliary tissue excretion rate      0.003648  mL/sec/cm3       0.000000      3      1  S03-05
293       Khe    Hepatocellular tissue uptake rate      0.084123  mL/sec/cm3       0.000000      3      1  S03-05
294       kbh               Biliary excretion rate      0.002809  mL/sec/cm3       0.000000      3      1  S03-05
295         E            Liver extraction fraction      0.467720                   0.000000      3      1  S03-05
296    Ktrans             Hepatic plasma clearance      0.010299  mL/sec/cm3       0.000000      3      1  S03-05
297         H                           Hematocrit      0.418000                   0.000000      3      2  S03-05
298        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      3      2  S03-05
299       khe           Hepatocellular uptake rate      0.002630  mL/sec/cm3       0.000265      3      2  S03-05
300        Th     Hepatocellular mean transit time   2165.011101         sec     806.084509      3      2  S03-05
301       Kbh        Biliary tissue excretion rate      0.000462  mL/sec/cm3       0.000000      3      2  S03-05
302       Khe    Hepatocellular tissue uptake rate      0.011434  mL/sec/cm3       0.000000      3      2  S03-05
303       kbh               Biliary excretion rate      0.000356  mL/sec/cm3       0.000000      3      2  S03-05
304         E            Liver extraction fraction      0.106695                   0.000000      3      2  S03-05
305    Ktrans             Hepatic plasma clearance      0.002349  mL/sec/cm3       0.000000      3      2  S03-05
306         H                           Hematocrit      0.418000                   0.000000      3      1  S03-06
307        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      3      1  S03-06
308       khe           Hepatocellular uptake rate      0.018785  mL/sec/cm3       0.001447      3      1  S03-06
309        Th     Hepatocellular mean transit time    361.925824         sec      34.299076      3      1  S03-06
310       Kbh        Biliary tissue excretion rate      0.002763  mL/sec/cm3       0.000000      3      1  S03-06
311       Khe    Hepatocellular tissue uptake rate      0.081674  mL/sec/cm3       0.000000      3      1  S03-06
312       kbh               Biliary excretion rate      0.002128  mL/sec/cm3       0.000000      3      1  S03-06
313         E            Liver extraction fraction      0.460371                   0.000000      3      1  S03-06
314    Ktrans             Hepatic plasma clearance      0.010137  mL/sec/cm3       0.000000      3      1  S03-06
315         H                           Hematocrit      0.418000                   0.000000      3      2  S03-06
316        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      3      2  S03-06
317       khe           Hepatocellular uptake rate      0.002557  mL/sec/cm3       0.000266      3      2  S03-06
318        Th     Hepatocellular mean transit time   1882.214105         sec     616.849046      3      2  S03-06
319       Kbh        Biliary tissue excretion rate      0.000531  mL/sec/cm3       0.000000      3      2  S03-06
320       Khe    Hepatocellular tissue uptake rate      0.011115  mL/sec/cm3       0.000000      3      2  S03-06
321       kbh               Biliary excretion rate      0.000409  mL/sec/cm3       0.000000      3      2  S03-06
322         E            Liver extraction fraction      0.104028                   0.000000      3      2  S03-06
323    Ktrans             Hepatic plasma clearance      0.002291  mL/sec/cm3       0.000000      3      2  S03-06
324         H                           Hematocrit      0.418000                   0.000000      4      1  S04-01
325        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      4      1  S04-01
326       khe           Hepatocellular uptake rate      0.021087  mL/sec/cm3       0.001305      4      1  S04-01
327        Th     Hepatocellular mean transit time    297.370715         sec      20.396250      4      1  S04-01
328       Kbh        Biliary tissue excretion rate      0.003363  mL/sec/cm3       0.000000      4      1  S04-01
329       Khe    Hepatocellular tissue uptake rate      0.091683  mL/sec/cm3       0.000000      4      1  S04-01
330       kbh               Biliary excretion rate      0.002589  mL/sec/cm3       0.000000      4      1  S04-01
331         E            Liver extraction fraction      0.489189                   0.000000      4      1  S04-01
332    Ktrans             Hepatic plasma clearance      0.010771  mL/sec/cm3       0.000000      4      1  S04-01
333         H                           Hematocrit      0.418000                   0.000000      4      2  S04-01
334        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      4      2  S04-01
335       khe           Hepatocellular uptake rate      0.025377  mL/sec/cm3       0.001401      4      2  S04-01
336        Th     Hepatocellular mean transit time    392.007671         sec      25.091818      4      2  S04-01
337       Kbh        Biliary tissue excretion rate      0.002551  mL/sec/cm3       0.000000      4      2  S04-01
338       Khe    Hepatocellular tissue uptake rate      0.110335  mL/sec/cm3       0.000000      4      2  S04-01
339       kbh               Biliary excretion rate      0.001964  mL/sec/cm3       0.000000      4      2  S04-01
340         E            Liver extraction fraction      0.535425                   0.000000      4      2  S04-01
341    Ktrans             Hepatic plasma clearance      0.011790  mL/sec/cm3       0.000000      4      2  S04-01
342         H                           Hematocrit      0.418000                   0.000000      4      1  S04-02
343        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      4      1  S04-02
344       khe           Hepatocellular uptake rate      0.018752  mL/sec/cm3       0.001563      4      1  S04-02
345        Th     Hepatocellular mean transit time    270.765508         sec      24.867642      4      1  S04-02
346       Kbh        Biliary tissue excretion rate      0.003693  mL/sec/cm3       0.000000      4      1  S04-02
347       Khe    Hepatocellular tissue uptake rate      0.081531  mL/sec/cm3       0.000000      4      1  S04-02
348       kbh               Biliary excretion rate      0.002844  mL/sec/cm3       0.000000      4      1  S04-02
349         E            Liver extraction fraction      0.459936                   0.000000      4      1  S04-02
350    Ktrans             Hepatic plasma clearance      0.010127  mL/sec/cm3       0.000000      4      1  S04-02
351         H                           Hematocrit      0.418000                   0.000000      4      2  S04-02
352        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      4      2  S04-02
353       khe           Hepatocellular uptake rate      0.026179  mL/sec/cm3       0.001797      4      2  S04-02
354        Th     Hepatocellular mean transit time    213.594857         sec      15.576389      4      2  S04-02
355       Kbh        Biliary tissue excretion rate      0.004682  mL/sec/cm3       0.000000      4      2  S04-02
356       Khe    Hepatocellular tissue uptake rate      0.113824  mL/sec/cm3       0.000000      4      2  S04-02
357       kbh               Biliary excretion rate      0.003605  mL/sec/cm3       0.000000      4      2  S04-02
358         E            Liver extraction fraction      0.543160                   0.000000      4      2  S04-02
359    Ktrans             Hepatic plasma clearance      0.011960  mL/sec/cm3       0.000000      4      2  S04-02
360         H                           Hematocrit      0.418000                   0.000000      4      1  S04-03
361        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      4      1  S04-03
362       khe           Hepatocellular uptake rate      0.030745  mL/sec/cm3       0.002625      4      1  S04-03
363        Th     Hepatocellular mean transit time    164.766512         sec      14.686232      4      1  S04-03
364       Kbh        Biliary tissue excretion rate      0.006069  mL/sec/cm3       0.000000      4      1  S04-03
365       Khe    Hepatocellular tissue uptake rate      0.133676  mL/sec/cm3       0.000000      4      1  S04-03
366       kbh               Biliary excretion rate      0.004673  mL/sec/cm3       0.000000      4      1  S04-03
367         E            Liver extraction fraction      0.582692                   0.000000      4      1  S04-03
368    Ktrans             Hepatic plasma clearance      0.012830  mL/sec/cm3       0.000000      4      1  S04-03
369         H                           Hematocrit      0.418000                   0.000000      4      2  S04-03
370        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      4      2  S04-03
371       khe           Hepatocellular uptake rate      0.032307  mL/sec/cm3       0.002462      4      2  S04-03
372        Th     Hepatocellular mean transit time    199.347152         sec      15.884694      4      2  S04-03
373       Kbh        Biliary tissue excretion rate      0.005016  mL/sec/cm3       0.000000      4      2  S04-03
374       Khe    Hepatocellular tissue uptake rate      0.140467  mL/sec/cm3       0.000000      4      2  S04-03
375       kbh               Biliary excretion rate      0.003863  mL/sec/cm3       0.000000      4      2  S04-03
376         E            Liver extraction fraction      0.594691                   0.000000      4      2  S04-03
377    Ktrans             Hepatic plasma clearance      0.013095  mL/sec/cm3       0.000000      4      2  S04-03
378         H                           Hematocrit      0.418000                   0.000000      4      1  S04-04
379        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      4      1  S04-04
380       khe           Hepatocellular uptake rate      0.025308  mL/sec/cm3       0.001942      4      1  S04-04
381        Th     Hepatocellular mean transit time    212.831818         sec      17.383364      4      1  S04-04
382       Kbh        Biliary tissue excretion rate      0.004699  mL/sec/cm3       0.000000      4      1  S04-04
383       Khe    Hepatocellular tissue uptake rate      0.110034  mL/sec/cm3       0.000000      4      1  S04-04
384       kbh               Biliary excretion rate      0.003618  mL/sec/cm3       0.000000      4      1  S04-04
385         E            Liver extraction fraction      0.534747                   0.000000      4      1  S04-04
386    Ktrans             Hepatic plasma clearance      0.011775  mL/sec/cm3       0.000000      4      1  S04-04
387         H                           Hematocrit      0.418000                   0.000000      4      2  S04-04
388        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      4      2  S04-04
389       khe           Hepatocellular uptake rate      0.032058  mL/sec/cm3       0.001538      4      2  S04-04
390        Th     Hepatocellular mean transit time    219.238595         sec      11.046538      4      2  S04-04
391       Kbh        Biliary tissue excretion rate      0.004561  mL/sec/cm3       0.000000      4      2  S04-04
392       Khe    Hepatocellular tissue uptake rate      0.139382  mL/sec/cm3       0.000000      4      2  S04-04
393       kbh               Biliary excretion rate      0.003512  mL/sec/cm3       0.000000      4      2  S04-04
394         E            Liver extraction fraction      0.592820                   0.000000      4      2  S04-04
395    Ktrans             Hepatic plasma clearance      0.013053  mL/sec/cm3       0.000000      4      2  S04-04
396         H                           Hematocrit      0.418000                   0.000000      4      1  S04-05
397        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      4      1  S04-05
398       khe           Hepatocellular uptake rate      0.023628  mL/sec/cm3       0.001367      4      1  S04-05
399        Th     Hepatocellular mean transit time    315.200292         sec      20.265161      4      1  S04-05
400       Kbh        Biliary tissue excretion rate      0.003173  mL/sec/cm3       0.000000      4      1  S04-05
401       Khe    Hepatocellular tissue uptake rate      0.102733  mL/sec/cm3       0.000000      4      1  S04-05
402       kbh               Biliary excretion rate      0.002443  mL/sec/cm3       0.000000      4      1  S04-05
403         E            Liver extraction fraction      0.517630                   0.000000      4      1  S04-05
404    Ktrans             Hepatic plasma clearance      0.011398  mL/sec/cm3       0.000000      4      1  S04-05
405         H                           Hematocrit      0.418000                   0.000000      4      2  S04-05
406        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      4      2  S04-05
407       khe           Hepatocellular uptake rate      0.006623  mL/sec/cm3       0.000644      4      2  S04-05
408        Th     Hepatocellular mean transit time    805.977488         sec     131.120090      4      2  S04-05
409       Kbh        Biliary tissue excretion rate      0.001241  mL/sec/cm3       0.000000      4      2  S04-05
410       Khe    Hepatocellular tissue uptake rate      0.028797  mL/sec/cm3       0.000000      4      2  S04-05
411       kbh               Biliary excretion rate      0.000955  mL/sec/cm3       0.000000      4      2  S04-05
412         E            Liver extraction fraction      0.231241                   0.000000      4      2  S04-05
413    Ktrans             Hepatic plasma clearance      0.005092  mL/sec/cm3       0.000000      4      2  S04-05
414         H                           Hematocrit      0.418000                   0.000000      4      1  S04-06
415        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      4      1  S04-06
416       khe           Hepatocellular uptake rate      0.026667  mL/sec/cm3       0.001716      4      1  S04-06
417        Th     Hepatocellular mean transit time    199.571416         sec      13.588116      4      1  S04-06
418       Kbh        Biliary tissue excretion rate      0.005011  mL/sec/cm3       0.000000      4      1  S04-06
419       Khe    Hepatocellular tissue uptake rate      0.115942  mL/sec/cm3       0.000000      4      1  S04-06
420       kbh               Biliary excretion rate      0.003858  mL/sec/cm3       0.000000      4      1  S04-06
421         E            Liver extraction fraction      0.547731                   0.000000      4      1  S04-06
422    Ktrans             Hepatic plasma clearance      0.012060  mL/sec/cm3       0.000000      4      1  S04-06
423         H                           Hematocrit      0.418000                   0.000000      4      2  S04-06
424        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      4      2  S04-06
425       khe           Hepatocellular uptake rate      0.005094  mL/sec/cm3       0.000428      4      2  S04-06
426        Th     Hepatocellular mean transit time    577.583373         sec      68.126327      4      2  S04-06
427       Kbh        Biliary tissue excretion rate      0.001731  mL/sec/cm3       0.000000      4      2  S04-06
428       Khe    Hepatocellular tissue uptake rate      0.022147  mL/sec/cm3       0.000000      4      2  S04-06
429       kbh               Biliary excretion rate      0.001333  mL/sec/cm3       0.000000      4      2  S04-06
430         E            Liver extraction fraction      0.187878                   0.000000      4      2  S04-06
431    Ktrans             Hepatic plasma clearance      0.004137  mL/sec/cm3       0.000000      4      2  S04-06
432         H                           Hematocrit      0.418000                   0.000000      4      1  S04-07
433        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      4      1  S04-07
434       khe           Hepatocellular uptake rate      0.029360  mL/sec/cm3       0.001784      4      1  S04-07
435        Th     Hepatocellular mean transit time    197.235571         sec      12.603995      4      1  S04-07
436       Kbh        Biliary tissue excretion rate      0.005070  mL/sec/cm3       0.000000      4      1  S04-07
437       Khe    Hepatocellular tissue uptake rate      0.127652  mL/sec/cm3       0.000000      4      1  S04-07
438       kbh               Biliary excretion rate      0.003904  mL/sec/cm3       0.000000      4      1  S04-07
439         E            Liver extraction fraction      0.571440                   0.000000      4      1  S04-07
440    Ktrans             Hepatic plasma clearance      0.012583  mL/sec/cm3       0.000000      4      1  S04-07
441         H                           Hematocrit      0.418000                   0.000000      4      2  S04-07
442        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      4      2  S04-07
443       khe           Hepatocellular uptake rate      0.006850  mL/sec/cm3       0.000602      4      2  S04-07
444        Th     Hepatocellular mean transit time    579.373538         sec      71.310385      4      2  S04-07
445       Kbh        Biliary tissue excretion rate      0.001726  mL/sec/cm3       0.000000      4      2  S04-07
446       Khe    Hepatocellular tissue uptake rate      0.029783  mL/sec/cm3       0.000000      4      2  S04-07
447       kbh               Biliary excretion rate      0.001329  mL/sec/cm3       0.000000      4      2  S04-07
448         E            Liver extraction fraction      0.237280                   0.000000      4      2  S04-07
449    Ktrans             Hepatic plasma clearance      0.005225  mL/sec/cm3       0.000000      4      2  S04-07
450         H                           Hematocrit      0.418000                   0.000000      4      1  S04-08
451        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      4      1  S04-08
452       khe           Hepatocellular uptake rate      0.022104  mL/sec/cm3       0.001318      4      1  S04-08
453        Th     Hepatocellular mean transit time    210.515733         sec      13.455461      4      1  S04-08
454       Kbh        Biliary tissue excretion rate      0.004750  mL/sec/cm3       0.000000      4      1  S04-08
455       Khe    Hepatocellular tissue uptake rate      0.096104  mL/sec/cm3       0.000000      4      1  S04-08
456       kbh               Biliary excretion rate      0.003658  mL/sec/cm3       0.000000      4      1  S04-08
457         E            Liver extraction fraction      0.500962                   0.000000      4      1  S04-08
458    Ktrans             Hepatic plasma clearance      0.011031  mL/sec/cm3       0.000000      4      1  S04-08
459         H                           Hematocrit      0.418000                   0.000000      4      2  S04-08
460        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      4      2  S04-08
461       khe           Hepatocellular uptake rate      0.006882  mL/sec/cm3       0.000653      4      2  S04-08
462        Th     Hepatocellular mean transit time    640.608373         sec      89.393651      4      2  S04-08
463       Kbh        Biliary tissue excretion rate      0.001561  mL/sec/cm3       0.000000      4      2  S04-08
464       Khe    Hepatocellular tissue uptake rate      0.029924  mL/sec/cm3       0.000000      4      2  S04-08
465       kbh               Biliary excretion rate      0.001202  mL/sec/cm3       0.000000      4      2  S04-08
466         E            Liver extraction fraction      0.238136                   0.000000      4      2  S04-08
467    Ktrans             Hepatic plasma clearance      0.005244  mL/sec/cm3       0.000000      4      2  S04-08
468         H                           Hematocrit      0.418000                   0.000000      5      1  S05-01
469        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      5      1  S05-01
470       khe           Hepatocellular uptake rate      0.027315  mL/sec/cm3       0.001681      5      1  S05-01
471        Th     Hepatocellular mean transit time    247.264899         sec      16.488928      5      1  S05-01
472       Kbh        Biliary tissue excretion rate      0.004044  mL/sec/cm3       0.000000      5      1  S05-01
473       Khe    Hepatocellular tissue uptake rate      0.118762  mL/sec/cm3       0.000000      5      1  S05-01
474       kbh               Biliary excretion rate      0.003114  mL/sec/cm3       0.000000      5      1  S05-01
475         E            Liver extraction fraction      0.553676                   0.000000      5      1  S05-01
476    Ktrans             Hepatic plasma clearance      0.012191  mL/sec/cm3       0.000000      5      1  S05-01
477         H                           Hematocrit      0.418000                   0.000000      5      1  S05-02
478        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      5      1  S05-02
479       khe           Hepatocellular uptake rate      0.029071  mL/sec/cm3       0.000697      5      1  S05-02
480        Th     Hepatocellular mean transit time    192.680543         sec       4.917299      5      1  S05-02
481       Kbh        Biliary tissue excretion rate      0.005190  mL/sec/cm3       0.000000      5      1  S05-02
482       Khe    Hepatocellular tissue uptake rate      0.126397  mL/sec/cm3       0.000000      5      1  S05-02
483       kbh               Biliary excretion rate      0.003996  mL/sec/cm3       0.000000      5      1  S05-02
484         E            Liver extraction fraction      0.569017                   0.000000      5      1  S05-02
485    Ktrans             Hepatic plasma clearance      0.012529  mL/sec/cm3       0.000000      5      1  S05-02
486         H                           Hematocrit      0.418000                   0.000000      5      1  S05-03
487        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      5      1  S05-03
488       khe           Hepatocellular uptake rate      0.022983  mL/sec/cm3       0.002276      5      1  S05-03
489        Th     Hepatocellular mean transit time    154.949009         sec      16.413168      5      1  S05-03
490       Kbh        Biliary tissue excretion rate      0.006454  mL/sec/cm3       0.000000      5      1  S05-03
491       Khe    Hepatocellular tissue uptake rate      0.099925  mL/sec/cm3       0.000000      5      1  S05-03
492       kbh               Biliary excretion rate      0.004969  mL/sec/cm3       0.000000      5      1  S05-03
493         E            Liver extraction fraction      0.510709                   0.000000      5      1  S05-03
494    Ktrans             Hepatic plasma clearance      0.011245  mL/sec/cm3       0.000000      5      1  S05-03
495         H                           Hematocrit      0.418000                   0.000000      5      1  S05-04
496        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      5      1  S05-04
497       khe           Hepatocellular uptake rate      0.017759  mL/sec/cm3       0.000795      5      1  S05-04
498        Th     Hepatocellular mean transit time    185.964864         sec       9.040065      5      1  S05-04
499       Kbh        Biliary tissue excretion rate      0.005377  mL/sec/cm3       0.000000      5      1  S05-04
500       Khe    Hepatocellular tissue uptake rate      0.077215  mL/sec/cm3       0.000000      5      1  S05-04
501       kbh               Biliary excretion rate      0.004141  mL/sec/cm3       0.000000      5      1  S05-04
502         E            Liver extraction fraction      0.446459                   0.000000      5      1  S05-04
503    Ktrans             Hepatic plasma clearance      0.009831  mL/sec/cm3       0.000000      5      1  S05-04
504         H                           Hematocrit      0.418000                   0.000000      5      1  S05-05
505        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      5      1  S05-05
506       khe           Hepatocellular uptake rate      0.015636  mL/sec/cm3       0.001193      5      1  S05-05
507        Th     Hepatocellular mean transit time    195.399387         sec      16.291207      5      1  S05-05
508       Kbh        Biliary tissue excretion rate      0.005118  mL/sec/cm3       0.000000      5      1  S05-05
509       Khe    Hepatocellular tissue uptake rate      0.067983  mL/sec/cm3       0.000000      5      1  S05-05
510       kbh               Biliary excretion rate      0.003941  mL/sec/cm3       0.000000      5      1  S05-05
511         E            Liver extraction fraction      0.415244                   0.000000      5      1  S05-05
512    Ktrans             Hepatic plasma clearance      0.009143  mL/sec/cm3       0.000000      5      1  S05-05
513         H                           Hematocrit      0.418000                   0.000000      5      1  S05-06
514        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      5      1  S05-06
515       khe           Hepatocellular uptake rate      0.017560  mL/sec/cm3       0.001343      5      1  S05-06
516        Th     Hepatocellular mean transit time    172.510596         sec      14.285767      5      1  S05-06
517       Kbh        Biliary tissue excretion rate      0.005797  mL/sec/cm3       0.000000      5      1  S05-06
518       Khe    Hepatocellular tissue uptake rate      0.076347  mL/sec/cm3       0.000000      5      1  S05-06
519       kbh               Biliary excretion rate      0.004463  mL/sec/cm3       0.000000      5      1  S05-06
520         E            Liver extraction fraction      0.443667                   0.000000      5      1  S05-06
521    Ktrans             Hepatic plasma clearance      0.009769  mL/sec/cm3       0.000000      5      1  S05-06
522         H                           Hematocrit      0.418000                   0.000000      6      1  S06-01
523        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      6      1  S06-01
524       khe           Hepatocellular uptake rate      0.022970  mL/sec/cm3       0.001936      6      1  S06-01
525        Th     Hepatocellular mean transit time    180.613765         sec      16.350347      6      1  S06-01
526       Kbh        Biliary tissue excretion rate      0.005537  mL/sec/cm3       0.000000      6      1  S06-01
527       Khe    Hepatocellular tissue uptake rate      0.099870  mL/sec/cm3       0.000000      6      1  S06-01
528       kbh               Biliary excretion rate      0.004263  mL/sec/cm3       0.000000      6      1  S06-01
529         E            Liver extraction fraction      0.510571                   0.000000      6      1  S06-01
530    Ktrans             Hepatic plasma clearance      0.011242  mL/sec/cm3       0.000000      6      1  S06-01
531         H                           Hematocrit      0.418000                   0.000000      6      1  S06-02
532        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      6      1  S06-02
533       khe           Hepatocellular uptake rate      0.029583  mL/sec/cm3       0.001750      6      1  S06-02
534        Th     Hepatocellular mean transit time    210.951954         sec      13.326347      6      1  S06-02
535       Kbh        Biliary tissue excretion rate      0.004740  mL/sec/cm3       0.000000      6      1  S06-02
536       Khe    Hepatocellular tissue uptake rate      0.128623  mL/sec/cm3       0.000000      6      1  S06-02
537       kbh               Biliary excretion rate      0.003650  mL/sec/cm3       0.000000      6      1  S06-02
538         E            Liver extraction fraction      0.573294                   0.000000      6      1  S06-02
539    Ktrans             Hepatic plasma clearance      0.012623  mL/sec/cm3       0.000000      6      1  S06-02
540         H                           Hematocrit      0.418000                   0.000000      6      1  S06-03
541        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      6      1  S06-03
542       khe           Hepatocellular uptake rate      0.025256  mL/sec/cm3       0.002817      6      1  S06-03
543        Th     Hepatocellular mean transit time    163.355164         sec      19.432571      6      1  S06-03
544       Kbh        Biliary tissue excretion rate      0.006122  mL/sec/cm3       0.000000      6      1  S06-03
545       Khe    Hepatocellular tissue uptake rate      0.109808  mL/sec/cm3       0.000000      6      1  S06-03
546       kbh               Biliary excretion rate      0.004714  mL/sec/cm3       0.000000      6      1  S06-03
547         E            Liver extraction fraction      0.534234                   0.000000      6      1  S06-03
548    Ktrans             Hepatic plasma clearance      0.011763  mL/sec/cm3       0.000000      6      1  S06-03
549         H                           Hematocrit      0.418000                   0.000000      6      1  S06-04
550        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      6      1  S06-04
551       khe           Hepatocellular uptake rate      0.020520  mL/sec/cm3       0.001436      6      1  S06-04
552        Th     Hepatocellular mean transit time    173.964985         sec      13.119590      6      1  S06-04
553       Kbh        Biliary tissue excretion rate      0.005748  mL/sec/cm3       0.000000      6      1  S06-04
554       Khe    Hepatocellular tissue uptake rate      0.089218  mL/sec/cm3       0.000000      6      1  S06-04
555       kbh               Biliary excretion rate      0.004426  mL/sec/cm3       0.000000      6      1  S06-04
556         E            Liver extraction fraction      0.482383                   0.000000      6      1  S06-04
557    Ktrans             Hepatic plasma clearance      0.010622  mL/sec/cm3       0.000000      6      1  S06-04
558         H                           Hematocrit      0.418000                   0.000000      6      1  S06-05
559        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      6      1  S06-05
560       khe           Hepatocellular uptake rate      0.019660  mL/sec/cm3       0.001497      6      1  S06-05
561        Th     Hepatocellular mean transit time    171.315280         sec      14.074132      6      1  S06-05
562       Kbh        Biliary tissue excretion rate      0.005837  mL/sec/cm3       0.000000      6      1  S06-05
563       Khe    Hepatocellular tissue uptake rate      0.085477  mL/sec/cm3       0.000000      6      1  S06-05
564       kbh               Biliary excretion rate      0.004495  mL/sec/cm3       0.000000      6      1  S06-05
565         E            Liver extraction fraction      0.471696                   0.000000      6      1  S06-05
566    Ktrans             Hepatic plasma clearance      0.010386  mL/sec/cm3       0.000000      6      1  S06-05
567         H                           Hematocrit      0.418000                   0.000000      6      1  S06-06
568        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      6      1  S06-06
569       khe           Hepatocellular uptake rate      0.020711  mL/sec/cm3       0.001520      6      1  S06-06
570        Th     Hepatocellular mean transit time    232.382529         sec      18.636306      6      1  S06-06
571       Kbh        Biliary tissue excretion rate      0.004303  mL/sec/cm3       0.000000      6      1  S06-06
572       Khe    Hepatocellular tissue uptake rate      0.090047  mL/sec/cm3       0.000000      6      1  S06-06
573       kbh               Biliary excretion rate      0.003314  mL/sec/cm3       0.000000      6      1  S06-06
574         E            Liver extraction fraction      0.484692                   0.000000      6      1  S06-06
575    Ktrans             Hepatic plasma clearance      0.010672  mL/sec/cm3       0.000000      6      1  S06-06
576         H                           Hematocrit      0.418000                   0.000000      7      1  S07-01
577        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      7      1  S07-01
578       khe           Hepatocellular uptake rate      0.012683  mL/sec/cm3       0.000605      7      1  S07-01
579        Th     Hepatocellular mean transit time    280.818444         sec      15.086203      7      1  S07-01
580       Kbh        Biliary tissue excretion rate      0.003561  mL/sec/cm3       0.000000      7      1  S07-01
581       Khe    Hepatocellular tissue uptake rate      0.055144  mL/sec/cm3       0.000000      7      1  S07-01
582       kbh               Biliary excretion rate      0.002742  mL/sec/cm3       0.000000      7      1  S07-01
583         E            Liver extraction fraction      0.365485                   0.000000      7      1  S07-01
584    Ktrans             Hepatic plasma clearance      0.008048  mL/sec/cm3       0.000000      7      1  S07-01
585         H                           Hematocrit      0.418000                   0.000000      7      1  S07-02
586        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      7      1  S07-02
587       khe           Hepatocellular uptake rate      0.022498  mL/sec/cm3       0.002039      7      1  S07-02
588        Th     Hepatocellular mean transit time    289.856768         sec      28.949742      7      1  S07-02
589       Kbh        Biliary tissue excretion rate      0.003450  mL/sec/cm3       0.000000      7      1  S07-02
590       Khe    Hepatocellular tissue uptake rate      0.097817  mL/sec/cm3       0.000000      7      1  S07-02
591       kbh               Biliary excretion rate      0.002656  mL/sec/cm3       0.000000      7      1  S07-02
592         E            Liver extraction fraction      0.505379                   0.000000      7      1  S07-02
593    Ktrans             Hepatic plasma clearance      0.011128  mL/sec/cm3       0.000000      7      1  S07-02
594         H                           Hematocrit      0.418000                   0.000000      7      1  S07-03
595        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      7      1  S07-03
596       khe           Hepatocellular uptake rate      0.021004  mL/sec/cm3       0.002048      7      1  S07-03
597        Th     Hepatocellular mean transit time    278.527976         sec      29.888574      7      1  S07-03
598       Kbh        Biliary tissue excretion rate      0.003590  mL/sec/cm3       0.000000      7      1  S07-03
599       Khe    Hepatocellular tissue uptake rate      0.091322  mL/sec/cm3       0.000000      7      1  S07-03
600       kbh               Biliary excretion rate      0.002765  mL/sec/cm3       0.000000      7      1  S07-03
601         E            Liver extraction fraction      0.488205                   0.000000      7      1  S07-03
602    Ktrans             Hepatic plasma clearance      0.010750  mL/sec/cm3       0.000000      7      1  S07-03
603         H                           Hematocrit      0.418000                   0.000000      7      1  S07-04
604        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      7      1  S07-04
605       khe           Hepatocellular uptake rate      0.013532  mL/sec/cm3       0.000956      7      1  S07-04
606        Th     Hepatocellular mean transit time    292.655037         sec      23.359213      7      1  S07-04
607       Kbh        Biliary tissue excretion rate      0.003417  mL/sec/cm3       0.000000      7      1  S07-04
608       Khe    Hepatocellular tissue uptake rate      0.058834  mL/sec/cm3       0.000000      7      1  S07-04
609       kbh               Biliary excretion rate      0.002631  mL/sec/cm3       0.000000      7      1  S07-04
610         E            Liver extraction fraction      0.380634                   0.000000      7      1  S07-04
611    Ktrans             Hepatic plasma clearance      0.008381  mL/sec/cm3       0.000000      7      1  S07-04
612         H                           Hematocrit      0.418000                   0.000000      7      1  S07-05
613        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      7      1  S07-05
614       khe           Hepatocellular uptake rate      0.021344  mL/sec/cm3       0.002382      7      1  S07-05
615        Th     Hepatocellular mean transit time    214.314612         sec      25.739821      7      1  S07-05
616       Kbh        Biliary tissue excretion rate      0.004666  mL/sec/cm3       0.000000      7      1  S07-05
617       Khe    Hepatocellular tissue uptake rate      0.092802  mL/sec/cm3       0.000000      7      1  S07-05
618       kbh               Biliary excretion rate      0.003593  mL/sec/cm3       0.000000      7      1  S07-05
619         E            Liver extraction fraction      0.492223                   0.000000      7      1  S07-05
620    Ktrans             Hepatic plasma clearance      0.010838  mL/sec/cm3       0.000000      7      1  S07-05
621         H                           Hematocrit      0.418000                   0.000000      7      1  S07-06
622        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      7      1  S07-06
623       khe           Hepatocellular uptake rate      0.023153  mL/sec/cm3       0.002535      7      1  S07-06
624        Th     Hepatocellular mean transit time    254.391468         sec      30.205870      7      1  S07-06
625       Kbh        Biliary tissue excretion rate      0.003931  mL/sec/cm3       0.000000      7      1  S07-06
626       Khe    Hepatocellular tissue uptake rate      0.100663  mL/sec/cm3       0.000000      7      1  S07-06
627       kbh               Biliary excretion rate      0.003027  mL/sec/cm3       0.000000      7      1  S07-06
628         E            Liver extraction fraction      0.512547                   0.000000      7      1  S07-06
629    Ktrans             Hepatic plasma clearance      0.011286  mL/sec/cm3       0.000000      7      1  S07-06
630         H                           Hematocrit      0.418000                   0.000000      8      1  S08-01
631        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      8      1  S08-01
632       khe           Hepatocellular uptake rate      0.029672  mL/sec/cm3       0.001981      8      1  S08-01
633        Th     Hepatocellular mean transit time    405.004251         sec      31.330233      8      1  S08-01
634       Kbh        Biliary tissue excretion rate      0.002469  mL/sec/cm3       0.000000      8      1  S08-01
635       Khe    Hepatocellular tissue uptake rate      0.129007  mL/sec/cm3       0.000000      8      1  S08-01
636       kbh               Biliary excretion rate      0.001901  mL/sec/cm3       0.000000      8      1  S08-01
637         E            Liver extraction fraction      0.574023                   0.000000      8      1  S08-01
638    Ktrans             Hepatic plasma clearance      0.012639  mL/sec/cm3       0.000000      8      1  S08-01
639         H                           Hematocrit      0.418000                   0.000000      8      1  S08-02
640        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      8      1  S08-02
641       khe           Hepatocellular uptake rate      0.028285  mL/sec/cm3       0.002532      8      1  S08-02
642        Th     Hepatocellular mean transit time    266.518224         sec      25.642295      8      1  S08-02
643       Kbh        Biliary tissue excretion rate      0.003752  mL/sec/cm3       0.000000      8      1  S08-02
644       Khe    Hepatocellular tissue uptake rate      0.122977  mL/sec/cm3       0.000000      8      1  S08-02
645       kbh               Biliary excretion rate      0.002889  mL/sec/cm3       0.000000      8      1  S08-02
646         E            Liver extraction fraction      0.562279                   0.000000      8      1  S08-02
647    Ktrans             Hepatic plasma clearance      0.012381  mL/sec/cm3       0.000000      8      1  S08-02
648         H                           Hematocrit      0.418000                   0.000000      8      1  S08-03
649        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      8      1  S08-03
650       khe           Hepatocellular uptake rate      0.020065  mL/sec/cm3       0.001380      8      1  S08-03
651        Th     Hepatocellular mean transit time    379.280945         sec      30.381067      8      1  S08-03
652       Kbh        Biliary tissue excretion rate      0.002637  mL/sec/cm3       0.000000      8      1  S08-03
653       Khe    Hepatocellular tissue uptake rate      0.087241  mL/sec/cm3       0.000000      8      1  S08-03
654       kbh               Biliary excretion rate      0.002030  mL/sec/cm3       0.000000      8      1  S08-03
655         E            Liver extraction fraction      0.476791                   0.000000      8      1  S08-03
656    Ktrans             Hepatic plasma clearance      0.010498  mL/sec/cm3       0.000000      8      1  S08-03
657         H                           Hematocrit      0.418000                   0.000000      8      1  S08-04
658        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      8      1  S08-04
659       khe           Hepatocellular uptake rate      0.019140  mL/sec/cm3       0.001184      8      1  S08-04
660        Th     Hepatocellular mean transit time    430.119180         sec      32.192971      8      1  S08-04
661       Kbh        Biliary tissue excretion rate      0.002325  mL/sec/cm3       0.000000      8      1  S08-04
662       Khe    Hepatocellular tissue uptake rate      0.083217  mL/sec/cm3       0.000000      8      1  S08-04
663       kbh               Biliary excretion rate      0.001790  mL/sec/cm3       0.000000      8      1  S08-04
664         E            Liver extraction fraction      0.465024                   0.000000      8      1  S08-04
665    Ktrans             Hepatic plasma clearance      0.010239  mL/sec/cm3       0.000000      8      1  S08-04
666         H                           Hematocrit      0.418000                   0.000000      8      1  S08-05
667        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      8      1  S08-05
668       khe           Hepatocellular uptake rate      0.026410  mL/sec/cm3       0.002126      8      1  S08-05
669        Th     Hepatocellular mean transit time    259.353153         sec      22.470592      8      1  S08-05
670       Kbh        Biliary tissue excretion rate      0.003856  mL/sec/cm3       0.000000      8      1  S08-05
671       Khe    Hepatocellular tissue uptake rate      0.114828  mL/sec/cm3       0.000000      8      1  S08-05
672       kbh               Biliary excretion rate      0.002969  mL/sec/cm3       0.000000      8      1  S08-05
673         E            Liver extraction fraction      0.545338                   0.000000      8      1  S08-05
674    Ktrans             Hepatic plasma clearance      0.012008  mL/sec/cm3       0.000000      8      1  S08-05
675         H                           Hematocrit      0.418000                   0.000000      8      1  S08-06
676        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      8      1  S08-06
677       khe           Hepatocellular uptake rate      0.025848  mL/sec/cm3       0.002068      8      1  S08-06
678        Th     Hepatocellular mean transit time    292.292001         sec      25.549667      8      1  S08-06
679       Kbh        Biliary tissue excretion rate      0.003421  mL/sec/cm3       0.000000      8      1  S08-06
680       Khe    Hepatocellular tissue uptake rate      0.112383  mL/sec/cm3       0.000000      8      1  S08-06
681       kbh               Biliary excretion rate      0.002634  mL/sec/cm3       0.000000      8      1  S08-06
682         E            Liver extraction fraction      0.539997                   0.000000      8      1  S08-06
683    Ktrans             Hepatic plasma clearance      0.011890  mL/sec/cm3       0.000000      8      1  S08-06
684         H                           Hematocrit      0.418000                   0.000000      9      1  S09-01
685        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      9      1  S09-01
686       khe           Hepatocellular uptake rate      0.019960  mL/sec/cm3       0.000712      9      1  S09-01
687        Th     Hepatocellular mean transit time    374.868102         sec      15.694085      9      1  S09-01
688       Kbh        Biliary tissue excretion rate      0.002668  mL/sec/cm3       0.000000      9      1  S09-01
689       Khe    Hepatocellular tissue uptake rate      0.086781  mL/sec/cm3       0.000000      9      1  S09-01
690       kbh               Biliary excretion rate      0.002054  mL/sec/cm3       0.000000      9      1  S09-01
691         E            Liver extraction fraction      0.475470                   0.000000      9      1  S09-01
692    Ktrans             Hepatic plasma clearance      0.010469  mL/sec/cm3       0.000000      9      1  S09-01
693         H                           Hematocrit      0.418000                   0.000000      9      1  S09-02
694        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      9      1  S09-02
695       khe           Hepatocellular uptake rate      0.017014  mL/sec/cm3       0.001283      9      1  S09-02
696        Th     Hepatocellular mean transit time    232.394677         sec      19.287626      9      1  S09-02
697       Kbh        Biliary tissue excretion rate      0.004303  mL/sec/cm3       0.000000      9      1  S09-02
698       Khe    Hepatocellular tissue uptake rate      0.073975  mL/sec/cm3       0.000000      9      1  S09-02
699       kbh               Biliary excretion rate      0.003313  mL/sec/cm3       0.000000      9      1  S09-02
700         E            Liver extraction fraction      0.435892                   0.000000      9      1  S09-02
701    Ktrans             Hepatic plasma clearance      0.009598  mL/sec/cm3       0.000000      9      1  S09-02
702         H                           Hematocrit      0.418000                   0.000000      9      1  S09-03
703        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      9      1  S09-03
704       khe           Hepatocellular uptake rate      0.028221  mL/sec/cm3       0.002239      9      1  S09-03
705        Th     Hepatocellular mean transit time    298.016000         sec      26.121908      9      1  S09-03
706       Kbh        Biliary tissue excretion rate      0.003356  mL/sec/cm3       0.000000      9      1  S09-03
707       Khe    Hepatocellular tissue uptake rate      0.122699  mL/sec/cm3       0.000000      9      1  S09-03
708       kbh               Biliary excretion rate      0.002584  mL/sec/cm3       0.000000      9      1  S09-03
709         E            Liver extraction fraction      0.561721                   0.000000      9      1  S09-03
710    Ktrans             Hepatic plasma clearance      0.012369  mL/sec/cm3       0.000000      9      1  S09-03
711         H                           Hematocrit      0.418000                   0.000000      9      1  S09-04
712        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000      9      1  S09-04
713       khe           Hepatocellular uptake rate      0.031739  mL/sec/cm3       0.002274      9      1  S09-04
714        Th     Hepatocellular mean transit time    277.181483         sec      21.584015      9      1  S09-04
715       Kbh        Biliary tissue excretion rate      0.003608  mL/sec/cm3       0.000000      9      1  S09-04
716       Khe    Hepatocellular tissue uptake rate      0.137997  mL/sec/cm3       0.000000      9      1  S09-04
717       kbh               Biliary excretion rate      0.002778  mL/sec/cm3       0.000000      9      1  S09-04
718         E            Liver extraction fraction      0.590408                   0.000000      9      1  S09-04
719    Ktrans             Hepatic plasma clearance      0.013000  mL/sec/cm3       0.000000      9      1  S09-04
720         H                           Hematocrit      0.418000                   0.000000     10      1  S10-01
721        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     10      1  S10-01
722       khe           Hepatocellular uptake rate      0.032535  mL/sec/cm3       0.002453     10      1  S10-01
723        Th     Hepatocellular mean transit time    204.527816         sec      16.360118     10      1  S10-01
724       Kbh        Biliary tissue excretion rate      0.004889  mL/sec/cm3       0.000000     10      1  S10-01
725       Khe    Hepatocellular tissue uptake rate      0.141456  mL/sec/cm3       0.000000     10      1  S10-01
726       kbh               Biliary excretion rate      0.003765  mL/sec/cm3       0.000000     10      1  S10-01
727         E            Liver extraction fraction      0.596381                   0.000000     10      1  S10-01
728    Ktrans             Hepatic plasma clearance      0.013132  mL/sec/cm3       0.000000     10      1  S10-01
729         H                           Hematocrit      0.418000                   0.000000     10      1  S10-02
730        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     10      1  S10-02
731       khe           Hepatocellular uptake rate      0.025874  mL/sec/cm3       0.001773     10      1  S10-02
732        Th     Hepatocellular mean transit time    261.575446         sec      19.579156     10      1  S10-02
733       Kbh        Biliary tissue excretion rate      0.003823  mL/sec/cm3       0.000000     10      1  S10-02
734       Khe    Hepatocellular tissue uptake rate      0.112497  mL/sec/cm3       0.000000     10      1  S10-02
735       kbh               Biliary excretion rate      0.002944  mL/sec/cm3       0.000000     10      1  S10-02
736         E            Liver extraction fraction      0.540249                   0.000000     10      1  S10-02
737    Ktrans             Hepatic plasma clearance      0.011896  mL/sec/cm3       0.000000     10      1  S10-02
738         H                           Hematocrit      0.418000                   0.000000     10      1  S10-03
739        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     10      1  S10-03
740       khe           Hepatocellular uptake rate      0.036652  mL/sec/cm3       0.002989     10      1  S10-03
741        Th     Hepatocellular mean transit time    192.444917         sec      16.496094     10      1  S10-03
742       Kbh        Biliary tissue excretion rate      0.005196  mL/sec/cm3       0.000000     10      1  S10-03
743       Khe    Hepatocellular tissue uptake rate      0.159357  mL/sec/cm3       0.000000     10      1  S10-03
744       kbh               Biliary excretion rate      0.004001  mL/sec/cm3       0.000000     10      1  S10-03
745         E            Liver extraction fraction      0.624705                   0.000000     10      1  S10-03
746    Ktrans             Hepatic plasma clearance      0.013755  mL/sec/cm3       0.000000     10      1  S10-03
747         H                           Hematocrit      0.418000                   0.000000     10      1  S10-04
748        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     10      1  S10-04
749       khe           Hepatocellular uptake rate      0.034455  mL/sec/cm3       0.003410     10      1  S10-04
750        Th     Hepatocellular mean transit time    221.622695         sec      23.277153     10      1  S10-04
751       Kbh        Biliary tissue excretion rate      0.004512  mL/sec/cm3       0.000000     10      1  S10-04
752       Khe    Hepatocellular tissue uptake rate      0.149806  mL/sec/cm3       0.000000     10      1  S10-04
753       kbh               Biliary excretion rate      0.003474  mL/sec/cm3       0.000000     10      1  S10-04
754         E            Liver extraction fraction      0.610107                   0.000000     10      1  S10-04
755    Ktrans             Hepatic plasma clearance      0.013434  mL/sec/cm3       0.000000     10      1  S10-04
756         H                           Hematocrit      0.418000                   0.000000     10      1  S10-05
757        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     10      1  S10-05
758       khe           Hepatocellular uptake rate      0.032610  mL/sec/cm3       0.002460     10      1  S10-05
759        Th     Hepatocellular mean transit time    203.726712         sec      16.301197     10      1  S10-05
760       Kbh        Biliary tissue excretion rate      0.004909  mL/sec/cm3       0.000000     10      1  S10-05
761       Khe    Hepatocellular tissue uptake rate      0.141781  mL/sec/cm3       0.000000     10      1  S10-05
762       kbh               Biliary excretion rate      0.003780  mL/sec/cm3       0.000000     10      1  S10-05
763         E            Liver extraction fraction      0.596933                   0.000000     10      1  S10-05
764    Ktrans             Hepatic plasma clearance      0.013144  mL/sec/cm3       0.000000     10      1  S10-05
765         H                           Hematocrit      0.418000                   0.000000     10      1  S10-06
766        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     10      1  S10-06
767       khe           Hepatocellular uptake rate      0.039860  mL/sec/cm3       0.002835     10      1  S10-06
768        Th     Hepatocellular mean transit time    225.726632         sec      16.897259     10      1  S10-06
769       Kbh        Biliary tissue excretion rate      0.004430  mL/sec/cm3       0.000000     10      1  S10-06
770       Khe    Hepatocellular tissue uptake rate      0.173305  mL/sec/cm3       0.000000     10      1  S10-06
771       kbh               Biliary excretion rate      0.003411  mL/sec/cm3       0.000000     10      1  S10-06
772         E            Liver extraction fraction      0.644162                   0.000000     10      1  S10-06
773    Ktrans             Hepatic plasma clearance      0.014184  mL/sec/cm3       0.000000     10      1  S10-06
774         H                           Hematocrit      0.418000                   0.000000     11      1  S11-01
775        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     11      1  S11-01
776       khe           Hepatocellular uptake rate      0.013910  mL/sec/cm3       0.000883     11      1  S11-01
777        Th     Hepatocellular mean transit time    228.002321         sec      16.022045     11      1  S11-01
778       Kbh        Biliary tissue excretion rate      0.004386  mL/sec/cm3       0.000000     11      1  S11-01
779       Khe    Hepatocellular tissue uptake rate      0.060480  mL/sec/cm3       0.000000     11      1  S11-01
780       kbh               Biliary excretion rate      0.003377  mL/sec/cm3       0.000000     11      1  S11-01
781         E            Liver extraction fraction      0.387160                   0.000000     11      1  S11-01
782    Ktrans             Hepatic plasma clearance      0.008525  mL/sec/cm3       0.000000     11      1  S11-01
783         H                           Hematocrit      0.418000                   0.000000     11      1  S11-02
784        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     11      1  S11-02
785       khe           Hepatocellular uptake rate      0.028271  mL/sec/cm3       0.001964     11      1  S11-02
786        Th     Hepatocellular mean transit time    269.927474         sec      20.456646     11      1  S11-02
787       Kbh        Biliary tissue excretion rate      0.003705  mL/sec/cm3       0.000000     11      1  S11-02
788       Khe    Hepatocellular tissue uptake rate      0.122916  mL/sec/cm3       0.000000     11      1  S11-02
789       kbh               Biliary excretion rate      0.002853  mL/sec/cm3       0.000000     11      1  S11-02
790         E            Liver extraction fraction      0.562157                   0.000000     11      1  S11-02
791    Ktrans             Hepatic plasma clearance      0.012378  mL/sec/cm3       0.000000     11      1  S11-02
792         H                           Hematocrit      0.418000                   0.000000     11      1  S11-03
793        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     11      1  S11-03
794       khe           Hepatocellular uptake rate      0.029927  mL/sec/cm3       0.002653     11      1  S11-03
795        Th     Hepatocellular mean transit time    219.983453         sec      20.856391     11      1  S11-03
796       Kbh        Biliary tissue excretion rate      0.004546  mL/sec/cm3       0.000000     11      1  S11-03
797       Khe    Hepatocellular tissue uptake rate      0.130119  mL/sec/cm3       0.000000     11      1  S11-03
798       kbh               Biliary excretion rate      0.003500  mL/sec/cm3       0.000000     11      1  S11-03
799         E            Liver extraction fraction      0.576120                   0.000000     11      1  S11-03
800    Ktrans             Hepatic plasma clearance      0.012686  mL/sec/cm3       0.000000     11      1  S11-03
801         H                           Hematocrit      0.418000                   0.000000     11      1  S11-04
802        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     11      1  S11-04
803       khe           Hepatocellular uptake rate      0.028979  mL/sec/cm3       0.002284     11      1  S11-04
804        Th     Hepatocellular mean transit time    235.280521         sec      19.953238     11      1  S11-04
805       Kbh        Biliary tissue excretion rate      0.004250  mL/sec/cm3       0.000000     11      1  S11-04
806       Khe    Hepatocellular tissue uptake rate      0.125996  mL/sec/cm3       0.000000     11      1  S11-04
807       kbh               Biliary excretion rate      0.003273  mL/sec/cm3       0.000000     11      1  S11-04
808         E            Liver extraction fraction      0.568238                   0.000000     11      1  S11-04
809    Ktrans             Hepatic plasma clearance      0.012512  mL/sec/cm3       0.000000     11      1  S11-04
810         H                           Hematocrit      0.418000                   0.000000     11      1  S11-05
811        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     11      1  S11-05
812       khe           Hepatocellular uptake rate      0.023743  mL/sec/cm3       0.001678     11      1  S11-05
813        Th     Hepatocellular mean transit time    314.105499         sec      24.947777     11      1  S11-05
814       Kbh        Biliary tissue excretion rate      0.003184  mL/sec/cm3       0.000000     11      1  S11-05
815       Khe    Hepatocellular tissue uptake rate      0.103230  mL/sec/cm3       0.000000     11      1  S11-05
816       kbh               Biliary excretion rate      0.002451  mL/sec/cm3       0.000000     11      1  S11-05
817         E            Liver extraction fraction      0.518835                   0.000000     11      1  S11-05
818    Ktrans             Hepatic plasma clearance      0.011424  mL/sec/cm3       0.000000     11      1  S11-05
819         H                           Hematocrit      0.418000                   0.000000     11      1  S11-06
820        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     11      1  S11-06
821       khe           Hepatocellular uptake rate      0.029244  mL/sec/cm3       0.002005     11      1  S11-06
822        Th     Hepatocellular mean transit time    265.109625         sec      19.750232     11      1  S11-06
823       Kbh        Biliary tissue excretion rate      0.003772  mL/sec/cm3       0.000000     11      1  S11-06
824       Khe    Hepatocellular tissue uptake rate      0.127146  mL/sec/cm3       0.000000     11      1  S11-06
825       kbh               Biliary excretion rate      0.002904  mL/sec/cm3       0.000000     11      1  S11-06
826         E            Liver extraction fraction      0.570467                   0.000000     11      1  S11-06
827    Ktrans             Hepatic plasma clearance      0.012561  mL/sec/cm3       0.000000     11      1  S11-06
828         H                           Hematocrit      0.418000                   0.000000     12      1  S12-01
829        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     12      1  S12-01
830       khe           Hepatocellular uptake rate      0.030382  mL/sec/cm3       0.001993     12      1  S12-01
831        Th     Hepatocellular mean transit time    323.452982         sec      23.292382     12      1  S12-01
832       Kbh        Biliary tissue excretion rate      0.003092  mL/sec/cm3       0.000000     12      1  S12-01
833       Khe    Hepatocellular tissue uptake rate      0.132094  mL/sec/cm3       0.000000     12      1  S12-01
834       kbh               Biliary excretion rate      0.002381  mL/sec/cm3       0.000000     12      1  S12-01
835         E            Liver extraction fraction      0.579795                   0.000000     12      1  S12-01
836    Ktrans             Hepatic plasma clearance      0.012766  mL/sec/cm3       0.000000     12      1  S12-01
837         H                           Hematocrit      0.418000                   0.000000     12      1  S12-02
838        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     12      1  S12-02
839       khe           Hepatocellular uptake rate      0.027904  mL/sec/cm3       0.001966     12      1  S12-02
840        Th     Hepatocellular mean transit time    259.614962         sec      19.620797     12      1  S12-02
841       Kbh        Biliary tissue excretion rate      0.003852  mL/sec/cm3       0.000000     12      1  S12-02
842       Khe    Hepatocellular tissue uptake rate      0.121321  mL/sec/cm3       0.000000     12      1  S12-02
843       kbh               Biliary excretion rate      0.002966  mL/sec/cm3       0.000000     12      1  S12-02
844         E            Liver extraction fraction      0.558940                   0.000000     12      1  S12-02
845    Ktrans             Hepatic plasma clearance      0.012307  mL/sec/cm3       0.000000     12      1  S12-02
846         H                           Hematocrit      0.418000                   0.000000     12      1  S12-03
847        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     12      1  S12-03
848       khe           Hepatocellular uptake rate      0.031209  mL/sec/cm3       0.002123     12      1  S12-03
849        Th     Hepatocellular mean transit time    259.228305         sec      18.775624     12      1  S12-03
850       Kbh        Biliary tissue excretion rate      0.003858  mL/sec/cm3       0.000000     12      1  S12-03
851       Khe    Hepatocellular tissue uptake rate      0.135692  mL/sec/cm3       0.000000     12      1  S12-03
852       kbh               Biliary excretion rate      0.002970  mL/sec/cm3       0.000000     12      1  S12-03
853         E            Liver extraction fraction      0.586328                   0.000000     12      1  S12-03
854    Ktrans             Hepatic plasma clearance      0.012910  mL/sec/cm3       0.000000     12      1  S12-03
855         H                           Hematocrit      0.418000                   0.000000     12      1  S12-04
856        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     12      1  S12-04
857       khe           Hepatocellular uptake rate      0.028901  mL/sec/cm3       0.001864     12      1  S12-04
858        Th     Hepatocellular mean transit time    267.022788         sec      18.488555     12      1  S12-04
859       Kbh        Biliary tissue excretion rate      0.003745  mL/sec/cm3       0.000000     12      1  S12-04
860       Khe    Hepatocellular tissue uptake rate      0.125658  mL/sec/cm3       0.000000     12      1  S12-04
861       kbh               Biliary excretion rate      0.002884  mL/sec/cm3       0.000000     12      1  S12-04
862         E            Liver extraction fraction      0.567579                   0.000000     12      1  S12-04
863    Ktrans             Hepatic plasma clearance      0.012498  mL/sec/cm3       0.000000     12      1  S12-04
864         H                           Hematocrit      0.418000                   0.000000     13      1  S13-01
865        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     13      1  S13-01
866       khe           Hepatocellular uptake rate      0.019700  mL/sec/cm3       0.002472     13      1  S13-01
867        Th     Hepatocellular mean transit time    153.711636         sec      20.567217     13      1  S13-01
868       Kbh        Biliary tissue excretion rate      0.006506  mL/sec/cm3       0.000000     13      1  S13-01
869       Khe    Hepatocellular tissue uptake rate      0.085651  mL/sec/cm3       0.000000     13      1  S13-01
870       kbh               Biliary excretion rate      0.005009  mL/sec/cm3       0.000000     13      1  S13-01
871         E            Liver extraction fraction      0.472203                   0.000000     13      1  S13-01
872    Ktrans             Hepatic plasma clearance      0.010397  mL/sec/cm3       0.000000     13      1  S13-01
873         H                           Hematocrit      0.418000                   0.000000     13      2  S13-01
874        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     13      2  S13-01
875       khe           Hepatocellular uptake rate      0.024712  mL/sec/cm3       0.001605     13      2  S13-01
876        Th     Hepatocellular mean transit time    245.211257         sec      17.339565     13      2  S13-01
877       Kbh        Biliary tissue excretion rate      0.004078  mL/sec/cm3       0.000000     13      2  S13-01
878       Khe    Hepatocellular tissue uptake rate      0.107443  mL/sec/cm3       0.000000     13      2  S13-01
879       kbh               Biliary excretion rate      0.003140  mL/sec/cm3       0.000000     13      2  S13-01
880         E            Liver extraction fraction      0.528812                   0.000000     13      2  S13-01
881    Ktrans             Hepatic plasma clearance      0.011644  mL/sec/cm3       0.000000     13      2  S13-01
882         H                           Hematocrit      0.418000                   0.000000     13      1  S13-02
883        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     13      1  S13-02
884       khe           Hepatocellular uptake rate      0.027132  mL/sec/cm3       0.002481     13      1  S13-02
885        Th     Hepatocellular mean transit time    185.363576         sec      17.873643     13      1  S13-02
886       Kbh        Biliary tissue excretion rate      0.005395  mL/sec/cm3       0.000000     13      1  S13-02
887       Khe    Hepatocellular tissue uptake rate      0.117966  mL/sec/cm3       0.000000     13      1  S13-02
888       kbh               Biliary excretion rate      0.004154  mL/sec/cm3       0.000000     13      1  S13-02
889         E            Liver extraction fraction      0.552014                   0.000000     13      1  S13-02
890    Ktrans             Hepatic plasma clearance      0.012155  mL/sec/cm3       0.000000     13      1  S13-02
891         H                           Hematocrit      0.418000                   0.000000     13      2  S13-02
892        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     13      2  S13-02
893       khe           Hepatocellular uptake rate      0.027491  mL/sec/cm3       0.001954     13      2  S13-02
894        Th     Hepatocellular mean transit time    238.054894         sec      18.275959     13      2  S13-02
895       Kbh        Biliary tissue excretion rate      0.004201  mL/sec/cm3       0.000000     13      2  S13-02
896       Khe    Hepatocellular tissue uptake rate      0.119526  mL/sec/cm3       0.000000     13      2  S13-02
897       kbh               Biliary excretion rate      0.003235  mL/sec/cm3       0.000000     13      2  S13-02
898         E            Liver extraction fraction      0.555262                   0.000000     13      2  S13-02
899    Ktrans             Hepatic plasma clearance      0.012226  mL/sec/cm3       0.000000     13      2  S13-02
900         H                           Hematocrit      0.418000                   0.000000     13      1  S13-03
901        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     13      1  S13-03
902       khe           Hepatocellular uptake rate      0.024895  mL/sec/cm3       0.002588     13      1  S13-03
903        Th     Hepatocellular mean transit time    212.113469         sec      23.485823     13      1  S13-03
904       Kbh        Biliary tissue excretion rate      0.004714  mL/sec/cm3       0.000000     13      1  S13-03
905       Khe    Hepatocellular tissue uptake rate      0.108241  mL/sec/cm3       0.000000     13      1  S13-03
906       kbh               Biliary excretion rate      0.003630  mL/sec/cm3       0.000000     13      1  S13-03
907         E            Liver extraction fraction      0.530656                   0.000000     13      1  S13-03
908    Ktrans             Hepatic plasma clearance      0.011685  mL/sec/cm3       0.000000     13      1  S13-03
909         H                           Hematocrit      0.418000                   0.000000     13      2  S13-03
910        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     13      2  S13-03
911       khe           Hepatocellular uptake rate      0.022076  mL/sec/cm3       0.001822     13      2  S13-03
912        Th     Hepatocellular mean transit time    227.337667         sec      20.418991     13      2  S13-03
913       Kbh        Biliary tissue excretion rate      0.004399  mL/sec/cm3       0.000000     13      2  S13-03
914       Khe    Hepatocellular tissue uptake rate      0.095981  mL/sec/cm3       0.000000     13      2  S13-03
915       kbh               Biliary excretion rate      0.003387  mL/sec/cm3       0.000000     13      2  S13-03
916         E            Liver extraction fraction      0.500643                   0.000000     13      2  S13-03
917    Ktrans             Hepatic plasma clearance      0.011024  mL/sec/cm3       0.000000     13      2  S13-03
918         H                           Hematocrit      0.418000                   0.000000     13      1  S13-04
919        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     13      1  S13-04
920       khe           Hepatocellular uptake rate      0.037487  mL/sec/cm3       0.002924     13      1  S13-04
921        Th     Hepatocellular mean transit time    254.710084         sec      21.177787     13      1  S13-04
922       Kbh        Biliary tissue excretion rate      0.003926  mL/sec/cm3       0.000000     13      1  S13-04
923       Khe    Hepatocellular tissue uptake rate      0.162987  mL/sec/cm3       0.000000     13      1  S13-04
924       kbh               Biliary excretion rate      0.003023  mL/sec/cm3       0.000000     13      1  S13-04
925         E            Liver extraction fraction      0.629970                   0.000000     13      1  S13-04
926    Ktrans             Hepatic plasma clearance      0.013871  mL/sec/cm3       0.000000     13      1  S13-04
927         H                           Hematocrit      0.418000                   0.000000     13      2  S13-04
928        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     13      2  S13-04
929       khe           Hepatocellular uptake rate      0.032979  mL/sec/cm3       0.003123     13      2  S13-04
930        Th     Hepatocellular mean transit time    238.990758         sec      23.840564     13      2  S13-04
931       Kbh        Biliary tissue excretion rate      0.004184  mL/sec/cm3       0.000000     13      2  S13-04
932       Khe    Hepatocellular tissue uptake rate      0.143387  mL/sec/cm3       0.000000     13      2  S13-04
933       kbh               Biliary excretion rate      0.003222  mL/sec/cm3       0.000000     13      2  S13-04
934         E            Liver extraction fraction      0.599639                   0.000000     13      2  S13-04
935    Ktrans             Hepatic plasma clearance      0.013203  mL/sec/cm3       0.000000     13      2  S13-04
936         H                           Hematocrit      0.418000                   0.000000     13      1  S13-05
937        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     13      1  S13-05
938       khe           Hepatocellular uptake rate      0.039701  mL/sec/cm3       0.004912     13      1  S13-05
939        Th     Hepatocellular mean transit time    189.604715         sec      24.516975     13      1  S13-05
940       Kbh        Biliary tissue excretion rate      0.005274  mL/sec/cm3       0.000000     13      1  S13-05
941       Khe    Hepatocellular tissue uptake rate      0.172615  mL/sec/cm3       0.000000     13      1  S13-05
942       kbh               Biliary excretion rate      0.004061  mL/sec/cm3       0.000000     13      1  S13-05
943         E            Liver extraction fraction      0.643246                   0.000000     13      1  S13-05
944    Ktrans             Hepatic plasma clearance      0.014164  mL/sec/cm3       0.000000     13      1  S13-05
945         H                           Hematocrit      0.418000                   0.000000     13      2  S13-05
946        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     13      2  S13-05
947       khe           Hepatocellular uptake rate      0.029427  mL/sec/cm3       0.003025     13      2  S13-05
948        Th     Hepatocellular mean transit time    178.498551         sec      19.238985     13      2  S13-05
949       Kbh        Biliary tissue excretion rate      0.005602  mL/sec/cm3       0.000000     13      2  S13-05
950       Khe    Hepatocellular tissue uptake rate      0.127945  mL/sec/cm3       0.000000     13      2  S13-05
951       kbh               Biliary excretion rate      0.004314  mL/sec/cm3       0.000000     13      2  S13-05
952         E            Liver extraction fraction      0.572002                   0.000000     13      2  S13-05
953    Ktrans             Hepatic plasma clearance      0.012595  mL/sec/cm3       0.000000     13      2  S13-05
954         H                           Hematocrit      0.418000                   0.000000     13      1  S13-06
955        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     13      1  S13-06
956       khe           Hepatocellular uptake rate      0.037005  mL/sec/cm3       0.003320     13      1  S13-06
957        Th     Hepatocellular mean transit time    204.412021         sec      19.303916     13      1  S13-06
958       Kbh        Biliary tissue excretion rate      0.004892  mL/sec/cm3       0.000000     13      1  S13-06
959       Khe    Hepatocellular tissue uptake rate      0.160893  mL/sec/cm3       0.000000     13      1  S13-06
960       kbh               Biliary excretion rate      0.003767  mL/sec/cm3       0.000000     13      1  S13-06
961         E            Liver extraction fraction      0.626951                   0.000000     13      1  S13-06
962    Ktrans             Hepatic plasma clearance      0.013805  mL/sec/cm3       0.000000     13      1  S13-06
963         H                           Hematocrit      0.418000                   0.000000     13      2  S13-06
964        ve  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000     13      2  S13-06
965       khe           Hepatocellular uptake rate      0.027897  mL/sec/cm3       0.001381     13      2  S13-06
966        Th     Hepatocellular mean transit time    210.157352         sec      11.006029     13      2  S13-06
967       Kbh        Biliary tissue excretion rate      0.004758  mL/sec/cm3       0.000000     13      2  S13-06
968       Khe    Hepatocellular tissue uptake rate      0.121293  mL/sec/cm3       0.000000     13      2  S13-06
969       kbh               Biliary excretion rate      0.003664  mL/sec/cm3       0.000000     13      2  S13-06
970         E            Liver extraction fraction      0.558882                   0.000000     13      2  S13-06
971    Ktrans             Hepatic plasma clearance      0.012306  mL/sec/cm3       0.000000     13      2  S13-06

Plot individual results#

Now let’s calculate the average biomarker values per substudy for saline data only. For this exercise, let’s specify khe and kbh as the biomarker parameters that we are interested in. For each biomarker, we can plot the avergae biomarker values along with their 95% confidence intervals for each study group. We can also calculate an average ‘benchmark’ value across all study groups for each biomarker, and overlay these on the graphs to see whether the observed values lie within these ranges. red lines indicate the average benchmark value, while blue represents the upper and lower limits of the 95% confidence intervals (CIs) associated with these benchmarks.

# Customise plot settings
plt.rcParams['savefig.dpi'] = 300
plt.rcParams["axes.labelsize"] = 50
plt.rcParams["axes.titlesize"] = 50
plt.rcParams["axes.labelweight"] = 'bold'
plt.rcParams["axes.titleweight"] = 'bold'
plt.rcParams["font.weight"] = 'bold'
plt.rc('axes', linewidth=2)
plt.rc('xtick', labelsize=40)
plt.rc('ytick', labelsize=40)
plt.rcParams["lines.linewidth"] = 4
plt.rcParams['lines.markersize'] = 12

# Create list of biomarkers (parameters) of interest
params = ['khe', 'kbh']

# Extract data of interest, i.e., visit 1 data for parameters of interest
visitOneData = results.query('parameter in @params and visit==1')

# Get statistical summaries per parameter and study group
stat_summary = (visitOneData
                .groupby(['parameter', 'study'])['value']
                .agg(['mean']))

# Calculate benchmark values per parameter by averaging all study group averages
benchmarks = (stat_summary
              .groupby(['parameter'])['mean']
              .agg(['mean', 'sem']))

# Calculate the 95% confidence intervals for each parameter benchmark
benchmarks['CI95'] = (benchmarks['sem'].mul(1.96))

# Sort dataframes
visitOneData_sorted = visitOneData.sort_values(['parameter'], ascending=[False])
benchmarks_sorted = benchmarks.sort_values(['parameter'], ascending=[False])

# Plot distributions across all study groups per biomarker of interest
g = sns.catplot(data=visitOneData_sorted,
                x='study',
                y='value',
                col='parameter',
                kind='point',
                capsize=0.2,
                sharey=False,
                linestyle='none',
                height=14,
                aspect=1.2,
                color='k',
                errorbar=('ci', 95))

g.set_titles("") # set custom subplot titles

# Set limits for y-axes
g.axes[0, 0].set(ylim=([0, 0.05]))
g.axes[0, 1].set(ylim=([0, 0.006]))

ylabels = ['$k_{he}$', '$k_{bh}$'] # define labels for y-axis

# Assign values from benchmarks dataframe to be
# used as horizontal lines to overlay on plots
means = benchmarks_sorted['mean']
lower_cis = means - benchmarks_sorted['CI95']
upper_cis = means + benchmarks_sorted['CI95']

# iterate through subplots to overlay y-labels and axis lines
for i in range(len(ylabels)):
    g.axes[0, i].set_ylabel(f"{ylabels[i]} [mL/sec/cm3]")
    g.axes[0, i].axhline(means.iloc[i], color='blue', ls=':')
    g.axes[0, i].axhline(lower_cis.iloc[i], color='red', ls='--')
    g.axes[0, i].axhline(upper_cis.iloc[i], color='red', ls='--')

plt.tight_layout()
plt.show()

# Choose the last image as a thumbnail for the gallery
# sphinx_gallery_thumbnail_number = -1
plot tristan repro

Total running time of the script: (0 minutes 27.947 seconds)

Gallery generated by Sphinx-Gallery