Preclinical - repeat dosing effects on liver 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 manuscript relating to this data and analysis is currently in preparation.

The specific objective of the study was to investigate the potential of gadoxetate-enhanced DCE-MRI to study acute inhibition of hepatocyte transporters of drug-induced liver injury (DILI) causing drugs, and to study potential changes in transporter function after chronic dosing.

The study presented here measured gadoxetate uptake and excretion in healthy rats scanned after administration of vehicle and repetitive dosing regimes of either Rifampicin, Cyclosporine, or Bosentan. Studies were performed in preclinical MRI scanners at 3 different centers and 2 different field strengths.

Reference

Mikael Montelius, Steven Sourbron, Nicola Melillo, Daniel Scotcher, Aleksandra Galetin, Gunnar Schuetz, Claudia Green, Edvin Johansson, John C. Waterton, and Paul Hockings. Acute and chronic rifampicin effect on gadoxetate uptake in rats using gadoxetate DCE-MRI. Int Soc Mag Reson Med 2021; 2674.

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_multiple_dosing')
dmr = pydmr.read(dmrfile, 'nest')
rois, pars = dmr['rois'], dmr['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['S01-10']['Day_3'],
    pars['S01-10']['Day_3'],
    xtol=1e-3,
    verbose=2,
)
   Iteration     Total nfev        Cost      Cost reduction    Step norm     Optimality
       0              1         1.0009e+09                                    4.77e+10
       1              3         8.8478e+08      1.16e+08       3.92e+02       6.03e+10
       2              4         5.8515e+08      3.00e+08       6.93e+02       2.42e+11
       3              5         4.2558e+08      1.60e+08       3.70e+01       1.72e+10
       4              6         3.1239e+08      1.13e+08       3.74e+02       1.96e+11
       5              7         4.6233e+07      2.66e+08       5.87e+01       4.11e+10
       6              8         2.4695e+07      2.15e+07       1.75e+01       5.59e+07
       7              9         2.4689e+07      6.59e+03       9.27e-01       5.50e+06
       8             10         2.4689e+07      8.26e-01       8.27e-03       2.16e+03
`xtol` termination condition is satisfied.
Function evaluations 10, initial cost 1.0009e+09, final cost 2.4689e+07, first-order optimality 2.16e+03.

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

model.plot(
    rois['S01-10']['Day_3']['time'],
    rois['S01-10']['Day_3']['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): 0.011 (0.0) mL/sec/cm3
Hepatocellular mean transit time (Th): 262.024 (10.683) 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): 0.049 mL/sec/cm3
Biliary excretion rate (kbh): 0.003 mL/sec/cm3
Liver extraction fraction (E): 0.339
Hepatic plasma clearance (Ktrans): 0.007 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      3  S01-10
1          ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      3  S01-10
2         khe           Hepatocellular uptake rate     0.011274  mL/sec/cm3     0.000429      1      3  S01-10
3          Th     Hepatocellular mean transit time   262.024383         sec    10.682974      1      3  S01-10
4         Kbh        Biliary tissue excretion rate     0.003816  mL/sec/cm3     0.000000      1      3  S01-10
5         Khe    Hepatocellular tissue uptake rate     0.049019  mL/sec/cm3     0.000000      1      3  S01-10
6         kbh               Biliary excretion rate     0.002939  mL/sec/cm3     0.000000      1      3  S01-10
7           E            Liver extraction fraction     0.338637                 0.000000      1      3  S01-10
8      Ktrans             Hepatic plasma clearance     0.007456  mL/sec/cm3     0.000000      1      3  S01-10
9           H                           Hematocrit     0.418000                 0.000000      1      4  S01-10
10         ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      4  S01-10
11        khe           Hepatocellular uptake rate     0.010626  mL/sec/cm3     0.000372      1      4  S01-10
12         Th     Hepatocellular mean transit time   367.581316         sec    14.526235      1      4  S01-10
13        Kbh        Biliary tissue excretion rate     0.002720  mL/sec/cm3     0.000000      1      4  S01-10
14        Khe    Hepatocellular tissue uptake rate     0.046202  mL/sec/cm3     0.000000      1      4  S01-10
15        kbh               Biliary excretion rate     0.002095  mL/sec/cm3     0.000000      1      4  S01-10
16          E            Liver extraction fraction     0.325510                 0.000000      1      4  S01-10
17     Ktrans             Hepatic plasma clearance     0.007167  mL/sec/cm3     0.000000      1      4  S01-10
18          H                           Hematocrit     0.418000                 0.000000      1      1  S01-11
19         ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      1  S01-11
20        khe           Hepatocellular uptake rate     0.013865  mL/sec/cm3     0.000621      1      1  S01-11
21         Th     Hepatocellular mean transit time   425.796488         sec    21.939712      1      1  S01-11
22        Kbh        Biliary tissue excretion rate     0.002349  mL/sec/cm3     0.000000      1      1  S01-11
23        Khe    Hepatocellular tissue uptake rate     0.060282  mL/sec/cm3     0.000000      1      1  S01-11
24        kbh               Biliary excretion rate     0.001808  mL/sec/cm3     0.000000      1      1  S01-11
25          E            Liver extraction fraction     0.386382                 0.000000      1      1  S01-11
26     Ktrans             Hepatic plasma clearance     0.008508  mL/sec/cm3     0.000000      1      1  S01-11
27          H                           Hematocrit     0.418000                 0.000000      1      2  S01-11
28         ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      2  S01-11
29        khe           Hepatocellular uptake rate     0.001621  mL/sec/cm3     0.000192      1      2  S01-11
30         Th     Hepatocellular mean transit time  2599.285794         sec  1208.566470      1      2  S01-11
31        Kbh        Biliary tissue excretion rate     0.000385  mL/sec/cm3     0.000000      1      2  S01-11
32        Khe    Hepatocellular tissue uptake rate     0.007050  mL/sec/cm3     0.000000      1      2  S01-11
33        kbh               Biliary excretion rate     0.000296  mL/sec/cm3     0.000000      1      2  S01-11
34          E            Liver extraction fraction     0.068589                 0.000000      1      2  S01-11
35     Ktrans             Hepatic plasma clearance     0.001510  mL/sec/cm3     0.000000      1      2  S01-11
36          H                           Hematocrit     0.418000                 0.000000      1      3  S01-11
37         ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      3  S01-11
38        khe           Hepatocellular uptake rate     0.002128  mL/sec/cm3     0.000288      1      3  S01-11
39         Th     Hepatocellular mean transit time   984.146706         sec   241.814768      1      3  S01-11
40        Kbh        Biliary tissue excretion rate     0.001016  mL/sec/cm3     0.000000      1      3  S01-11
41        Khe    Hepatocellular tissue uptake rate     0.009251  mL/sec/cm3     0.000000      1      3  S01-11
42        kbh               Biliary excretion rate     0.000782  mL/sec/cm3     0.000000      1      3  S01-11
43          E            Liver extraction fraction     0.088113                 0.000000      1      3  S01-11
44     Ktrans             Hepatic plasma clearance     0.001940  mL/sec/cm3     0.000000      1      3  S01-11
45          H                           Hematocrit     0.418000                 0.000000      1      4  S01-11
46         ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      4  S01-11
47        khe           Hepatocellular uptake rate     0.004891  mL/sec/cm3     0.000216      1      4  S01-11
48         Th     Hepatocellular mean transit time   600.638757         sec    36.091695      1      4  S01-11
49        Kbh        Biliary tissue excretion rate     0.001665  mL/sec/cm3     0.000000      1      4  S01-11
50        Khe    Hepatocellular tissue uptake rate     0.021265  mL/sec/cm3     0.000000      1      4  S01-11
51        kbh               Biliary excretion rate     0.001282  mL/sec/cm3     0.000000      1      4  S01-11
52          E            Liver extraction fraction     0.181754                 0.000000      1      4  S01-11
53     Ktrans             Hepatic plasma clearance     0.004002  mL/sec/cm3     0.000000      1      4  S01-11
54          H                           Hematocrit     0.418000                 0.000000      1      1  S01-12
55         ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      1  S01-12
56        khe           Hepatocellular uptake rate     0.014421  mL/sec/cm3     0.000761      1      1  S01-12
57         Th     Hepatocellular mean transit time   418.686543         sec    25.251571      1      1  S01-12
58        Kbh        Biliary tissue excretion rate     0.002388  mL/sec/cm3     0.000000      1      1  S01-12
59        Khe    Hepatocellular tissue uptake rate     0.062699  mL/sec/cm3     0.000000      1      1  S01-12
60        kbh               Biliary excretion rate     0.001839  mL/sec/cm3     0.000000      1      1  S01-12
61          E            Liver extraction fraction     0.395743                 0.000000      1      1  S01-12
62     Ktrans             Hepatic plasma clearance     0.008714  mL/sec/cm3     0.000000      1      1  S01-12
63          H                           Hematocrit     0.418000                 0.000000      1      2  S01-12
64         ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      2  S01-12
65        khe           Hepatocellular uptake rate     0.014377  mL/sec/cm3     0.000457      1      2  S01-12
66         Th     Hepatocellular mean transit time   338.192516         sec    11.726670      1      2  S01-12
67        Kbh        Biliary tissue excretion rate     0.002957  mL/sec/cm3     0.000000      1      2  S01-12
68        Khe    Hepatocellular tissue uptake rate     0.062507  mL/sec/cm3     0.000000      1      2  S01-12
69        kbh               Biliary excretion rate     0.002277  mL/sec/cm3     0.000000      1      2  S01-12
70          E            Liver extraction fraction     0.395011                 0.000000      1      2  S01-12
71     Ktrans             Hepatic plasma clearance     0.008698  mL/sec/cm3     0.000000      1      2  S01-12
72          H                           Hematocrit     0.418000                 0.000000      1      3  S01-12
73         ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      3  S01-12
74        khe           Hepatocellular uptake rate     0.010943  mL/sec/cm3     0.000370      1      3  S01-12
75         Th     Hepatocellular mean transit time   433.622906         sec    17.207635      1      3  S01-12
76        Kbh        Biliary tissue excretion rate     0.002306  mL/sec/cm3     0.000000      1      3  S01-12
77        Khe    Hepatocellular tissue uptake rate     0.047577  mL/sec/cm3     0.000000      1      3  S01-12
78        kbh               Biliary excretion rate     0.001776  mL/sec/cm3     0.000000      1      3  S01-12
79          E            Liver extraction fraction     0.331983                 0.000000      1      3  S01-12
80     Ktrans             Hepatic plasma clearance     0.007310  mL/sec/cm3     0.000000      1      3  S01-12
81          H                           Hematocrit     0.418000                 0.000000      1      4  S01-12
82         ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      4  S01-12
83        khe           Hepatocellular uptake rate     0.013804  mL/sec/cm3     0.000467      1      4  S01-12
84         Th     Hepatocellular mean transit time   467.989039         sec    18.757885      1      4  S01-12
85        Kbh        Biliary tissue excretion rate     0.002137  mL/sec/cm3     0.000000      1      4  S01-12
86        Khe    Hepatocellular tissue uptake rate     0.060016  mL/sec/cm3     0.000000      1      4  S01-12
87        kbh               Biliary excretion rate     0.001645  mL/sec/cm3     0.000000      1      4  S01-12
88          E            Liver extraction fraction     0.385333                 0.000000      1      4  S01-12
89     Ktrans             Hepatic plasma clearance     0.008485  mL/sec/cm3     0.000000      1      4  S01-12
90          H                           Hematocrit     0.418000                 0.000000      1      1  S01-01
91         ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      1  S01-01
92        khe           Hepatocellular uptake rate     0.009365  mL/sec/cm3     0.000289      1      1  S01-01
93         Th     Hepatocellular mean transit time   457.941799         sec    16.992228      1      1  S01-01
94        Kbh        Biliary tissue excretion rate     0.002184  mL/sec/cm3     0.000000      1      1  S01-01
95        Khe    Hepatocellular tissue uptake rate     0.040717  mL/sec/cm3     0.000000      1      1  S01-01
96        kbh               Biliary excretion rate     0.001681  mL/sec/cm3     0.000000      1      1  S01-01
97          E            Liver extraction fraction     0.298397                 0.000000      1      1  S01-01
98     Ktrans             Hepatic plasma clearance     0.006570  mL/sec/cm3     0.000000      1      1  S01-01
99          H                           Hematocrit     0.418000                 0.000000      1      2  S01-01
100        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      2  S01-01
101       khe           Hepatocellular uptake rate     0.004197  mL/sec/cm3     0.000219      1      2  S01-01
102        Th     Hepatocellular mean transit time   707.704964         sec    54.826880      1      2  S01-01
103       Kbh        Biliary tissue excretion rate     0.001413  mL/sec/cm3     0.000000      1      2  S01-01
104       Khe    Hepatocellular tissue uptake rate     0.018246  mL/sec/cm3     0.000000      1      2  S01-01
105       kbh               Biliary excretion rate     0.001088  mL/sec/cm3     0.000000      1      2  S01-01
106         E            Liver extraction fraction     0.160083                 0.000000      1      2  S01-01
107    Ktrans             Hepatic plasma clearance     0.003525  mL/sec/cm3     0.000000      1      2  S01-01
108         H                           Hematocrit     0.418000                 0.000000      1      3  S01-01
109        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      3  S01-01
110       khe           Hepatocellular uptake rate     0.008355  mL/sec/cm3     0.000486      1      3  S01-01
111        Th     Hepatocellular mean transit time   315.276953         sec    21.432871      1      3  S01-01
112       Kbh        Biliary tissue excretion rate     0.003172  mL/sec/cm3     0.000000      1      3  S01-01
113       Khe    Hepatocellular tissue uptake rate     0.036326  mL/sec/cm3     0.000000      1      3  S01-01
114       kbh               Biliary excretion rate     0.002442  mL/sec/cm3     0.000000      1      3  S01-01
115         E            Liver extraction fraction     0.275070                 0.000000      1      3  S01-01
116    Ktrans             Hepatic plasma clearance     0.006057  mL/sec/cm3     0.000000      1      3  S01-01
117         H                           Hematocrit     0.418000                 0.000000      1      4  S01-01
118        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      4  S01-01
119       khe           Hepatocellular uptake rate     0.013968  mL/sec/cm3     0.000882      1      4  S01-01
120        Th     Hepatocellular mean transit time   386.340943         sec    27.350383      1      4  S01-01
121       Kbh        Biliary tissue excretion rate     0.002588  mL/sec/cm3     0.000000      1      4  S01-01
122       Khe    Hepatocellular tissue uptake rate     0.060730  mL/sec/cm3     0.000000      1      4  S01-01
123       kbh               Biliary excretion rate     0.001993  mL/sec/cm3     0.000000      1      4  S01-01
124         E            Liver extraction fraction     0.388140                 0.000000      1      4  S01-01
125    Ktrans             Hepatic plasma clearance     0.008546  mL/sec/cm3     0.000000      1      4  S01-01
126         H                           Hematocrit     0.418000                 0.000000      1      1  S01-02
127        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      1  S01-02
128       khe           Hepatocellular uptake rate     0.011672  mL/sec/cm3     0.000519      1      1  S01-02
129        Th     Hepatocellular mean transit time   486.505634         sec    26.259471      1      1  S01-02
130       Kbh        Biliary tissue excretion rate     0.002055  mL/sec/cm3     0.000000      1      1  S01-02
131       Khe    Hepatocellular tissue uptake rate     0.050749  mL/sec/cm3     0.000000      1      1  S01-02
132       kbh               Biliary excretion rate     0.001583  mL/sec/cm3     0.000000      1      1  S01-02
133         E            Liver extraction fraction     0.346447                 0.000000      1      1  S01-02
134    Ktrans             Hepatic plasma clearance     0.007628  mL/sec/cm3     0.000000      1      1  S01-02
135         H                           Hematocrit     0.418000                 0.000000      1      2  S01-02
136        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      2  S01-02
137       khe           Hepatocellular uptake rate     0.003634  mL/sec/cm3     0.000234      1      2  S01-02
138        Th     Hepatocellular mean transit time  1066.525898         sec   131.330189      1      2  S01-02
139       Kbh        Biliary tissue excretion rate     0.000938  mL/sec/cm3     0.000000      1      2  S01-02
140       Khe    Hepatocellular tissue uptake rate     0.015802  mL/sec/cm3     0.000000      1      2  S01-02
141       kbh               Biliary excretion rate     0.000722  mL/sec/cm3     0.000000      1      2  S01-02
142         E            Liver extraction fraction     0.141673                 0.000000      1      2  S01-02
143    Ktrans             Hepatic plasma clearance     0.003120  mL/sec/cm3     0.000000      1      2  S01-02
144         H                           Hematocrit     0.418000                 0.000000      1      3  S01-02
145        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      3  S01-02
146       khe           Hepatocellular uptake rate     0.004653  mL/sec/cm3     0.000385      1      3  S01-02
147        Th     Hepatocellular mean transit time   703.332492         sec    85.708790      1      3  S01-02
148       Kbh        Biliary tissue excretion rate     0.001422  mL/sec/cm3     0.000000      1      3  S01-02
149       Khe    Hepatocellular tissue uptake rate     0.020229  mL/sec/cm3     0.000000      1      3  S01-02
150       kbh               Biliary excretion rate     0.001095  mL/sec/cm3     0.000000      1      3  S01-02
151         E            Liver extraction fraction     0.174445                 0.000000      1      3  S01-02
152    Ktrans             Hepatic plasma clearance     0.003841  mL/sec/cm3     0.000000      1      3  S01-02
153         H                           Hematocrit     0.418000                 0.000000      1      4  S01-02
154        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      4  S01-02
155       khe           Hepatocellular uptake rate     0.015322  mL/sec/cm3     0.000550      1      4  S01-02
156        Th     Hepatocellular mean transit time   316.458615         sec    12.194216      1      4  S01-02
157       Kbh        Biliary tissue excretion rate     0.003160  mL/sec/cm3     0.000000      1      4  S01-02
158       Khe    Hepatocellular tissue uptake rate     0.066618  mL/sec/cm3     0.000000      1      4  S01-02
159       kbh               Biliary excretion rate     0.002433  mL/sec/cm3     0.000000      1      4  S01-02
160         E            Liver extraction fraction     0.410329                 0.000000      1      4  S01-02
161    Ktrans             Hepatic plasma clearance     0.009035  mL/sec/cm3     0.000000      1      4  S01-02
162         H                           Hematocrit     0.418000                 0.000000      1      1  S01-03
163        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      1  S01-03
164       khe           Hepatocellular uptake rate     0.019435  mL/sec/cm3     0.000866      1      1  S01-03
165        Th     Hepatocellular mean transit time   313.596365         sec    14.726232      1      1  S01-03
166       Kbh        Biliary tissue excretion rate     0.003189  mL/sec/cm3     0.000000      1      1  S01-03
167       Khe    Hepatocellular tissue uptake rate     0.084500  mL/sec/cm3     0.000000      1      1  S01-03
168       kbh               Biliary excretion rate     0.002455  mL/sec/cm3     0.000000      1      1  S01-03
169         E            Liver extraction fraction     0.468832                 0.000000      1      1  S01-03
170    Ktrans             Hepatic plasma clearance     0.010323  mL/sec/cm3     0.000000      1      1  S01-03
171         H                           Hematocrit     0.418000                 0.000000      1      2  S01-03
172        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      2  S01-03
173       khe           Hepatocellular uptake rate     0.015307  mL/sec/cm3     0.000721      1      2  S01-03
174        Th     Hepatocellular mean transit time   328.336021         sec    16.699603      1      2  S01-03
175       Kbh        Biliary tissue excretion rate     0.003046  mL/sec/cm3     0.000000      1      2  S01-03
176       Khe    Hepatocellular tissue uptake rate     0.066553  mL/sec/cm3     0.000000      1      2  S01-03
177       kbh               Biliary excretion rate     0.002345  mL/sec/cm3     0.000000      1      2  S01-03
178         E            Liver extraction fraction     0.410093                 0.000000      1      2  S01-03
179    Ktrans             Hepatic plasma clearance     0.009030  mL/sec/cm3     0.000000      1      2  S01-03
180         H                           Hematocrit     0.418000                 0.000000      1      3  S01-03
181        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      3  S01-03
182       khe           Hepatocellular uptake rate     0.012718  mL/sec/cm3     0.000765      1      3  S01-03
183        Th     Hepatocellular mean transit time   396.829889         sec    27.093897      1      3  S01-03
184       Kbh        Biliary tissue excretion rate     0.002520  mL/sec/cm3     0.000000      1      3  S01-03
185       Khe    Hepatocellular tissue uptake rate     0.055296  mL/sec/cm3     0.000000      1      3  S01-03
186       kbh               Biliary excretion rate     0.001940  mL/sec/cm3     0.000000      1      3  S01-03
187         E            Liver extraction fraction     0.366123                 0.000000      1      3  S01-03
188    Ktrans             Hepatic plasma clearance     0.008062  mL/sec/cm3     0.000000      1      3  S01-03
189         H                           Hematocrit     0.418000                 0.000000      1      4  S01-03
190        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      4  S01-03
191       khe           Hepatocellular uptake rate     0.015905  mL/sec/cm3     0.000853      1      4  S01-03
192        Th     Hepatocellular mean transit time   349.894807         sec    20.433865      1      4  S01-03
193       Kbh        Biliary tissue excretion rate     0.002858  mL/sec/cm3     0.000000      1      4  S01-03
194       Khe    Hepatocellular tissue uptake rate     0.069150  mL/sec/cm3     0.000000      1      4  S01-03
195       kbh               Biliary excretion rate     0.002201  mL/sec/cm3     0.000000      1      4  S01-03
196         E            Liver extraction fraction     0.419384                 0.000000      1      4  S01-03
197    Ktrans             Hepatic plasma clearance     0.009234  mL/sec/cm3     0.000000      1      4  S01-03
198         H                           Hematocrit     0.418000                 0.000000      1      1  S01-04
199        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      1  S01-04
200       khe           Hepatocellular uptake rate     0.002513  mL/sec/cm3     0.000275      1      1  S01-04
201        Th     Hepatocellular mean transit time   433.723892         sec    58.119042      1      1  S01-04
202       Kbh        Biliary tissue excretion rate     0.002306  mL/sec/cm3     0.000000      1      1  S01-04
203       Khe    Hepatocellular tissue uptake rate     0.010928  mL/sec/cm3     0.000000      1      1  S01-04
204       kbh               Biliary excretion rate     0.001775  mL/sec/cm3     0.000000      1      1  S01-04
205         E            Liver extraction fraction     0.102455                 0.000000      1      1  S01-04
206    Ktrans             Hepatic plasma clearance     0.002256  mL/sec/cm3     0.000000      1      1  S01-04
207         H                           Hematocrit     0.418000                 0.000000      1      2  S01-04
208        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      2  S01-04
209       khe           Hepatocellular uptake rate     0.004691  mL/sec/cm3     0.000308      1      2  S01-04
210        Th     Hepatocellular mean transit time   514.295965         sec    43.251279      1      2  S01-04
211       Kbh        Biliary tissue excretion rate     0.001944  mL/sec/cm3     0.000000      1      2  S01-04
212       Khe    Hepatocellular tissue uptake rate     0.020397  mL/sec/cm3     0.000000      1      2  S01-04
213       kbh               Biliary excretion rate     0.001497  mL/sec/cm3     0.000000      1      2  S01-04
214         E            Liver extraction fraction     0.175639                 0.000000      1      2  S01-04
215    Ktrans             Hepatic plasma clearance     0.003867  mL/sec/cm3     0.000000      1      2  S01-04
216         H                           Hematocrit     0.418000                 0.000000      1      3  S01-04
217        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      3  S01-04
218       khe           Hepatocellular uptake rate     0.014515  mL/sec/cm3     0.000635      1      3  S01-04
219        Th     Hepatocellular mean transit time   281.738612         sec    13.098338      1      3  S01-04
220       Kbh        Biliary tissue excretion rate     0.003549  mL/sec/cm3     0.000000      1      3  S01-04
221       Khe    Hepatocellular tissue uptake rate     0.063111  mL/sec/cm3     0.000000      1      3  S01-04
222       kbh               Biliary excretion rate     0.002733  mL/sec/cm3     0.000000      1      3  S01-04
223         E            Liver extraction fraction     0.397309                 0.000000      1      3  S01-04
224    Ktrans             Hepatic plasma clearance     0.008748  mL/sec/cm3     0.000000      1      3  S01-04
225         H                           Hematocrit     0.418000                 0.000000      1      4  S01-04
226        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      4  S01-04
227       khe           Hepatocellular uptake rate     0.004045  mL/sec/cm3     0.000348      1      4  S01-04
228        Th     Hepatocellular mean transit time   393.722829         sec    40.183718      1      4  S01-04
229       Kbh        Biliary tissue excretion rate     0.002540  mL/sec/cm3     0.000000      1      4  S01-04
230       Khe    Hepatocellular tissue uptake rate     0.017588  mL/sec/cm3     0.000000      1      4  S01-04
231       kbh               Biliary excretion rate     0.001956  mL/sec/cm3     0.000000      1      4  S01-04
232         E            Liver extraction fraction     0.155200                 0.000000      1      4  S01-04
233    Ktrans             Hepatic plasma clearance     0.003417  mL/sec/cm3     0.000000      1      4  S01-04
234         H                           Hematocrit     0.418000                 0.000000      1      1  S01-05
235        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      1  S01-05
236       khe           Hepatocellular uptake rate     0.011666  mL/sec/cm3     0.000561      1      1  S01-05
237        Th     Hepatocellular mean transit time   446.923002         sec    25.337009      1      1  S01-05
238       Kbh        Biliary tissue excretion rate     0.002238  mL/sec/cm3     0.000000      1      1  S01-05
239       Khe    Hepatocellular tissue uptake rate     0.050722  mL/sec/cm3     0.000000      1      1  S01-05
240       kbh               Biliary excretion rate     0.001723  mL/sec/cm3     0.000000      1      1  S01-05
241         E            Liver extraction fraction     0.346329                 0.000000      1      1  S01-05
242    Ktrans             Hepatic plasma clearance     0.007626  mL/sec/cm3     0.000000      1      1  S01-05
243         H                           Hematocrit     0.418000                 0.000000      1      2  S01-05
244        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      2  S01-05
245       khe           Hepatocellular uptake rate     0.002686  mL/sec/cm3     0.000265      1      2  S01-05
246        Th     Hepatocellular mean transit time  1445.572399         sec   342.106039      1      2  S01-05
247       Kbh        Biliary tissue excretion rate     0.000692  mL/sec/cm3     0.000000      1      2  S01-05
248       Khe    Hepatocellular tissue uptake rate     0.011677  mL/sec/cm3     0.000000      1      2  S01-05
249       kbh               Biliary excretion rate     0.000533  mL/sec/cm3     0.000000      1      2  S01-05
250         E            Liver extraction fraction     0.108713                 0.000000      1      2  S01-05
251    Ktrans             Hepatic plasma clearance     0.002394  mL/sec/cm3     0.000000      1      2  S01-05
252         H                           Hematocrit     0.418000                 0.000000      1      3  S01-05
253        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      3  S01-05
254       khe           Hepatocellular uptake rate     0.009382  mL/sec/cm3     0.000293      1      3  S01-05
255        Th     Hepatocellular mean transit time   431.688412         sec    15.892626      1      3  S01-05
256       Kbh        Biliary tissue excretion rate     0.002316  mL/sec/cm3     0.000000      1      3  S01-05
257       Khe    Hepatocellular tissue uptake rate     0.040792  mL/sec/cm3     0.000000      1      3  S01-05
258       kbh               Biliary excretion rate     0.001784  mL/sec/cm3     0.000000      1      3  S01-05
259         E            Liver extraction fraction     0.298782                 0.000000      1      3  S01-05
260    Ktrans             Hepatic plasma clearance     0.006579  mL/sec/cm3     0.000000      1      3  S01-05
261         H                           Hematocrit     0.418000                 0.000000      1      4  S01-05
262        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      4  S01-05
263       khe           Hepatocellular uptake rate     0.015855  mL/sec/cm3     0.000828      1      4  S01-05
264        Th     Hepatocellular mean transit time   373.972009         sec    21.556546      1      4  S01-05
265       Kbh        Biliary tissue excretion rate     0.002674  mL/sec/cm3     0.000000      1      4  S01-05
266       Khe    Hepatocellular tissue uptake rate     0.068936  mL/sec/cm3     0.000000      1      4  S01-05
267       kbh               Biliary excretion rate     0.002059  mL/sec/cm3     0.000000      1      4  S01-05
268         E            Liver extraction fraction     0.418629                 0.000000      1      4  S01-05
269    Ktrans             Hepatic plasma clearance     0.009218  mL/sec/cm3     0.000000      1      4  S01-05
270         H                           Hematocrit     0.418000                 0.000000      1      1  S01-06
271        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      1  S01-06
272       khe           Hepatocellular uptake rate     0.018791  mL/sec/cm3     0.000913      1      1  S01-06
273        Th     Hepatocellular mean transit time   250.553876         sec    12.584461      1      1  S01-06
274       Kbh        Biliary tissue excretion rate     0.003991  mL/sec/cm3     0.000000      1      1  S01-06
275       Khe    Hepatocellular tissue uptake rate     0.081701  mL/sec/cm3     0.000000      1      1  S01-06
276       kbh               Biliary excretion rate     0.003073  mL/sec/cm3     0.000000      1      1  S01-06
277         E            Liver extraction fraction     0.460454                 0.000000      1      1  S01-06
278    Ktrans             Hepatic plasma clearance     0.010139  mL/sec/cm3     0.000000      1      1  S01-06
279         H                           Hematocrit     0.418000                 0.000000      1      2  S01-06
280        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      2  S01-06
281       khe           Hepatocellular uptake rate     0.014189  mL/sec/cm3     0.000837      1      2  S01-06
282        Th     Hepatocellular mean transit time   243.650700         sec    15.128079      1      2  S01-06
283       Kbh        Biliary tissue excretion rate     0.004104  mL/sec/cm3     0.000000      1      2  S01-06
284       Khe    Hepatocellular tissue uptake rate     0.061690  mL/sec/cm3     0.000000      1      2  S01-06
285       kbh               Biliary excretion rate     0.003160  mL/sec/cm3     0.000000      1      2  S01-06
286         E            Liver extraction fraction     0.391869                 0.000000      1      2  S01-06
287    Ktrans             Hepatic plasma clearance     0.008629  mL/sec/cm3     0.000000      1      2  S01-06
288         H                           Hematocrit     0.418000                 0.000000      1      3  S01-06
289        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      3  S01-06
290       khe           Hepatocellular uptake rate     0.006522  mL/sec/cm3     0.000449      1      3  S01-06
291        Th     Hepatocellular mean transit time   327.498032         sec    25.461422      1      3  S01-06
292       Kbh        Biliary tissue excretion rate     0.003053  mL/sec/cm3     0.000000      1      3  S01-06
293       Khe    Hepatocellular tissue uptake rate     0.028357  mL/sec/cm3     0.000000      1      3  S01-06
294       kbh               Biliary excretion rate     0.002351  mL/sec/cm3     0.000000      1      3  S01-06
295         E            Liver extraction fraction     0.228515                 0.000000      1      3  S01-06
296    Ktrans             Hepatic plasma clearance     0.005032  mL/sec/cm3     0.000000      1      3  S01-06
297         H                           Hematocrit     0.418000                 0.000000      1      4  S01-06
298        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      4  S01-06
299       khe           Hepatocellular uptake rate     0.016574  mL/sec/cm3     0.000657      1      4  S01-06
300        Th     Hepatocellular mean transit time   192.480812         sec     7.862011      1      4  S01-06
301       Kbh        Biliary tissue excretion rate     0.005195  mL/sec/cm3     0.000000      1      4  S01-06
302       Khe    Hepatocellular tissue uptake rate     0.072061  mL/sec/cm3     0.000000      1      4  S01-06
303       kbh               Biliary excretion rate     0.004000  mL/sec/cm3     0.000000      1      4  S01-06
304         E            Liver extraction fraction     0.429455                 0.000000      1      4  S01-06
305    Ktrans             Hepatic plasma clearance     0.009456  mL/sec/cm3     0.000000      1      4  S01-06
306         H                           Hematocrit     0.418000                 0.000000      1      1  S01-07
307        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      1  S01-07
308       khe           Hepatocellular uptake rate     0.010969  mL/sec/cm3     0.000531      1      1  S01-07
309        Th     Hepatocellular mean transit time   296.062382         sec    15.577970      1      1  S01-07
310       Kbh        Biliary tissue excretion rate     0.003378  mL/sec/cm3     0.000000      1      1  S01-07
311       Khe    Hepatocellular tissue uptake rate     0.047689  mL/sec/cm3     0.000000      1      1  S01-07
312       kbh               Biliary excretion rate     0.002601  mL/sec/cm3     0.000000      1      1  S01-07
313         E            Liver extraction fraction     0.332506                 0.000000      1      1  S01-07
314    Ktrans             Hepatic plasma clearance     0.007321  mL/sec/cm3     0.000000      1      1  S01-07
315         H                           Hematocrit     0.418000                 0.000000      1      2  S01-07
316        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      2  S01-07
317       khe           Hepatocellular uptake rate     0.006092  mL/sec/cm3     0.000441      1      2  S01-07
318        Th     Hepatocellular mean transit time   538.226917         sec    50.441396      1      2  S01-07
319       Kbh        Biliary tissue excretion rate     0.001858  mL/sec/cm3     0.000000      1      2  S01-07
320       Khe    Hepatocellular tissue uptake rate     0.026486  mL/sec/cm3     0.000000      1      2  S01-07
321       kbh               Biliary excretion rate     0.001431  mL/sec/cm3     0.000000      1      2  S01-07
322         E            Liver extraction fraction     0.216708                 0.000000      1      2  S01-07
323    Ktrans             Hepatic plasma clearance     0.004772  mL/sec/cm3     0.000000      1      2  S01-07
324         H                           Hematocrit     0.418000                 0.000000      1      3  S01-07
325        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      3  S01-07
326       khe           Hepatocellular uptake rate     0.007231  mL/sec/cm3     0.000264      1      3  S01-07
327        Th     Hepatocellular mean transit time   348.883313         sec    14.451277      1      3  S01-07
328       Kbh        Biliary tissue excretion rate     0.002866  mL/sec/cm3     0.000000      1      3  S01-07
329       Khe    Hepatocellular tissue uptake rate     0.031438  mL/sec/cm3     0.000000      1      3  S01-07
330       kbh               Biliary excretion rate     0.002207  mL/sec/cm3     0.000000      1      3  S01-07
331         E            Liver extraction fraction     0.247210                 0.000000      1      3  S01-07
332    Ktrans             Hepatic plasma clearance     0.005443  mL/sec/cm3     0.000000      1      3  S01-07
333         H                           Hematocrit     0.418000                 0.000000      1      4  S01-07
334        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      4  S01-07
335       khe           Hepatocellular uptake rate     0.011655  mL/sec/cm3     0.000482      1      4  S01-07
336        Th     Hepatocellular mean transit time   415.122523         sec    19.814554      1      4  S01-07
337       Kbh        Biliary tissue excretion rate     0.002409  mL/sec/cm3     0.000000      1      4  S01-07
338       Khe    Hepatocellular tissue uptake rate     0.050674  mL/sec/cm3     0.000000      1      4  S01-07
339       kbh               Biliary excretion rate     0.001855  mL/sec/cm3     0.000000      1      4  S01-07
340         E            Liver extraction fraction     0.346112                 0.000000      1      4  S01-07
341    Ktrans             Hepatic plasma clearance     0.007621  mL/sec/cm3     0.000000      1      4  S01-07
342         H                           Hematocrit     0.418000                 0.000000      1      1  S01-08
343        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      1  S01-08
344       khe           Hepatocellular uptake rate     0.011603  mL/sec/cm3     0.000706      1      1  S01-08
345        Th     Hepatocellular mean transit time   349.521979         sec    23.618183      1      1  S01-08
346       Kbh        Biliary tissue excretion rate     0.002861  mL/sec/cm3     0.000000      1      1  S01-08
347       Khe    Hepatocellular tissue uptake rate     0.050447  mL/sec/cm3     0.000000      1      1  S01-08
348       kbh               Biliary excretion rate     0.002203  mL/sec/cm3     0.000000      1      1  S01-08
349         E            Liver extraction fraction     0.345099                 0.000000      1      1  S01-08
350    Ktrans             Hepatic plasma clearance     0.007599  mL/sec/cm3     0.000000      1      1  S01-08
351         H                           Hematocrit     0.418000                 0.000000      1      2  S01-08
352        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      2  S01-08
353       khe           Hepatocellular uptake rate     0.002626  mL/sec/cm3     0.000301      1      2  S01-08
354        Th     Hepatocellular mean transit time   981.407062         sec   203.532821      1      2  S01-08
355       Kbh        Biliary tissue excretion rate     0.001019  mL/sec/cm3     0.000000      1      2  S01-08
356       Khe    Hepatocellular tissue uptake rate     0.011418  mL/sec/cm3     0.000000      1      2  S01-08
357       kbh               Biliary excretion rate     0.000785  mL/sec/cm3     0.000000      1      2  S01-08
358         E            Liver extraction fraction     0.106562                 0.000000      1      2  S01-08
359    Ktrans             Hepatic plasma clearance     0.002346  mL/sec/cm3     0.000000      1      2  S01-08
360         H                           Hematocrit     0.418000                 0.000000      1      3  S01-08
361        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      3  S01-08
362       khe           Hepatocellular uptake rate     0.010455  mL/sec/cm3     0.000412      1      3  S01-08
363        Th     Hepatocellular mean transit time   427.515137         sec    19.713595      1      3  S01-08
364       Kbh        Biliary tissue excretion rate     0.002339  mL/sec/cm3     0.000000      1      3  S01-08
365       Khe    Hepatocellular tissue uptake rate     0.045456  mL/sec/cm3     0.000000      1      3  S01-08
366       kbh               Biliary excretion rate     0.001801  mL/sec/cm3     0.000000      1      3  S01-08
367         E            Liver extraction fraction     0.321950                 0.000000      1      3  S01-08
368    Ktrans             Hepatic plasma clearance     0.007089  mL/sec/cm3     0.000000      1      3  S01-08
369         H                           Hematocrit     0.418000                 0.000000      1      4  S01-08
370        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      4  S01-08
371       khe           Hepatocellular uptake rate     0.009236  mL/sec/cm3     0.000358      1      4  S01-08
372        Th     Hepatocellular mean transit time   490.981737         sec    23.405968      1      4  S01-08
373       Kbh        Biliary tissue excretion rate     0.002037  mL/sec/cm3     0.000000      1      4  S01-08
374       Khe    Hepatocellular tissue uptake rate     0.040158  mL/sec/cm3     0.000000      1      4  S01-08
375       kbh               Biliary excretion rate     0.001568  mL/sec/cm3     0.000000      1      4  S01-08
376         E            Liver extraction fraction     0.295510                 0.000000      1      4  S01-08
377    Ktrans             Hepatic plasma clearance     0.006507  mL/sec/cm3     0.000000      1      4  S01-08
378         H                           Hematocrit     0.418000                 0.000000      1      1  S01-09
379        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      1  S01-09
380       khe           Hepatocellular uptake rate     0.008197  mL/sec/cm3     0.000232      1      1  S01-09
381        Th     Hepatocellular mean transit time   327.300163         sec    10.345913      1      1  S01-09
382       Kbh        Biliary tissue excretion rate     0.003055  mL/sec/cm3     0.000000      1      1  S01-09
383       Khe    Hepatocellular tissue uptake rate     0.035640  mL/sec/cm3     0.000000      1      1  S01-09
384       kbh               Biliary excretion rate     0.002353  mL/sec/cm3     0.000000      1      1  S01-09
385         E            Liver extraction fraction     0.271284                 0.000000      1      1  S01-09
386    Ktrans             Hepatic plasma clearance     0.005973  mL/sec/cm3     0.000000      1      1  S01-09
387         H                           Hematocrit     0.418000                 0.000000      1      2  S01-09
388        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      2  S01-09
389       khe           Hepatocellular uptake rate     0.008179  mL/sec/cm3     0.000257      1      2  S01-09
390        Th     Hepatocellular mean transit time   342.447886         sec    12.126564      1      2  S01-09
391       Kbh        Biliary tissue excretion rate     0.002920  mL/sec/cm3     0.000000      1      2  S01-09
392       Khe    Hepatocellular tissue uptake rate     0.035561  mL/sec/cm3     0.000000      1      2  S01-09
393       kbh               Biliary excretion rate     0.002249  mL/sec/cm3     0.000000      1      2  S01-09
394         E            Liver extraction fraction     0.270846                 0.000000      1      2  S01-09
395    Ktrans             Hepatic plasma clearance     0.005964  mL/sec/cm3     0.000000      1      2  S01-09
396         H                           Hematocrit     0.418000                 0.000000      1      3  S01-09
397        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      3  S01-09
398       khe           Hepatocellular uptake rate     0.010948  mL/sec/cm3     0.000600      1      3  S01-09
399        Th     Hepatocellular mean transit time   350.441437         sec    21.437020      1      3  S01-09
400       Kbh        Biliary tissue excretion rate     0.002854  mL/sec/cm3     0.000000      1      3  S01-09
401       Khe    Hepatocellular tissue uptake rate     0.047602  mL/sec/cm3     0.000000      1      3  S01-09
402       kbh               Biliary excretion rate     0.002197  mL/sec/cm3     0.000000      1      3  S01-09
403         E            Liver extraction fraction     0.332097                 0.000000      1      3  S01-09
404    Ktrans             Hepatic plasma clearance     0.007312  mL/sec/cm3     0.000000      1      3  S01-09
405         H                           Hematocrit     0.418000                 0.000000      1      4  S01-09
406        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      1      4  S01-09
407       khe           Hepatocellular uptake rate     0.011808  mL/sec/cm3     0.000497      1      4  S01-09
408        Th     Hepatocellular mean transit time   398.753520         sec    19.162377      1      4  S01-09
409       Kbh        Biliary tissue excretion rate     0.002508  mL/sec/cm3     0.000000      1      4  S01-09
410       Khe    Hepatocellular tissue uptake rate     0.051340  mL/sec/cm3     0.000000      1      4  S01-09
411       kbh               Biliary excretion rate     0.001931  mL/sec/cm3     0.000000      1      4  S01-09
412         E            Liver extraction fraction     0.349076                 0.000000      1      4  S01-09
413    Ktrans             Hepatic plasma clearance     0.007686  mL/sec/cm3     0.000000      1      4  S01-09
414         H                           Hematocrit     0.418000                 0.000000      2      1  S02-10
415        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      1  S02-10
416       khe           Hepatocellular uptake rate     0.033644  mL/sec/cm3     0.003901      2      1  S02-10
417        Th     Hepatocellular mean transit time   233.284746         sec    28.455018      2      1  S02-10
418       Kbh        Biliary tissue excretion rate     0.004287  mL/sec/cm3     0.000000      2      1  S02-10
419       Khe    Hepatocellular tissue uptake rate     0.146280  mL/sec/cm3     0.000000      2      1  S02-10
420       kbh               Biliary excretion rate     0.003301  mL/sec/cm3     0.000000      2      1  S02-10
421         E            Liver extraction fraction     0.604426                 0.000000      2      1  S02-10
422    Ktrans             Hepatic plasma clearance     0.013309  mL/sec/cm3     0.000000      2      1  S02-10
423         H                           Hematocrit     0.418000                 0.000000      2      2  S02-10
424        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      2  S02-10
425       khe           Hepatocellular uptake rate     0.047639  mL/sec/cm3     0.006633      2      2  S02-10
426        Th     Hepatocellular mean transit time   187.753969         sec    26.554350      2      2  S02-10
427       Kbh        Biliary tissue excretion rate     0.005326  mL/sec/cm3     0.000000      2      2  S02-10
428       Khe    Hepatocellular tissue uptake rate     0.207126  mL/sec/cm3     0.000000      2      2  S02-10
429       kbh               Biliary excretion rate     0.004101  mL/sec/cm3     0.000000      2      2  S02-10
430         E            Liver extraction fraction     0.683898                 0.000000      2      2  S02-10
431    Ktrans             Hepatic plasma clearance     0.015059  mL/sec/cm3     0.000000      2      2  S02-10
432         H                           Hematocrit     0.418000                 0.000000      2      3  S02-10
433        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      3  S02-10
434       khe           Hepatocellular uptake rate     0.040054  mL/sec/cm3     0.005830      2      3  S02-10
435        Th     Hepatocellular mean transit time   199.645147         sec    29.972729      2      3  S02-10
436       Kbh        Biliary tissue excretion rate     0.005009  mL/sec/cm3     0.000000      2      3  S02-10
437       Khe    Hepatocellular tissue uptake rate     0.174146  mL/sec/cm3     0.000000      2      3  S02-10
438       kbh               Biliary excretion rate     0.003857  mL/sec/cm3     0.000000      2      3  S02-10
439         E            Liver extraction fraction     0.645270                 0.000000      2      3  S02-10
440    Ktrans             Hepatic plasma clearance     0.014208  mL/sec/cm3     0.000000      2      3  S02-10
441         H                           Hematocrit     0.418000                 0.000000      2      1  S02-11
442        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      1  S02-11
443       khe           Hepatocellular uptake rate     0.021606  mL/sec/cm3     0.001642      2      1  S02-11
444        Th     Hepatocellular mean transit time   292.625662         sec    24.599407      2      1  S02-11
445       Kbh        Biliary tissue excretion rate     0.003417  mL/sec/cm3     0.000000      2      1  S02-11
446       Khe    Hepatocellular tissue uptake rate     0.093940  mL/sec/cm3     0.000000      2      1  S02-11
447       kbh               Biliary excretion rate     0.002631  mL/sec/cm3     0.000000      2      1  S02-11
448         E            Liver extraction fraction     0.495268                 0.000000      2      1  S02-11
449    Ktrans             Hepatic plasma clearance     0.010905  mL/sec/cm3     0.000000      2      1  S02-11
450         H                           Hematocrit     0.418000                 0.000000      2      2  S02-11
451        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      2  S02-11
452       khe           Hepatocellular uptake rate     0.002141  mL/sec/cm3     0.000395      2      2  S02-11
453        Th     Hepatocellular mean transit time   882.101696         sec   291.030131      2      2  S02-11
454       Kbh        Biliary tissue excretion rate     0.001134  mL/sec/cm3     0.000000      2      2  S02-11
455       Khe    Hepatocellular tissue uptake rate     0.009308  mL/sec/cm3     0.000000      2      2  S02-11
456       kbh               Biliary excretion rate     0.000873  mL/sec/cm3     0.000000      2      2  S02-11
457         E            Liver extraction fraction     0.088615                 0.000000      2      2  S02-11
458    Ktrans             Hepatic plasma clearance     0.001951  mL/sec/cm3     0.000000      2      2  S02-11
459         H                           Hematocrit     0.418000                 0.000000      2      3  S02-11
460        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      3  S02-11
461       khe           Hepatocellular uptake rate     0.003923  mL/sec/cm3     0.000563      2      3  S02-11
462        Th     Hepatocellular mean transit time   694.217934         sec   154.179272      2      3  S02-11
463       Kbh        Biliary tissue excretion rate     0.001440  mL/sec/cm3     0.000000      2      3  S02-11
464       Khe    Hepatocellular tissue uptake rate     0.017057  mL/sec/cm3     0.000000      2      3  S02-11
465       kbh               Biliary excretion rate     0.001109  mL/sec/cm3     0.000000      2      3  S02-11
466         E            Liver extraction fraction     0.151223                 0.000000      2      3  S02-11
467    Ktrans             Hepatic plasma clearance     0.003330  mL/sec/cm3     0.000000      2      3  S02-11
468         H                           Hematocrit     0.418000                 0.000000      2      1  S02-12
469        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      1  S02-12
470       khe           Hepatocellular uptake rate     0.033714  mL/sec/cm3     0.002823      2      1  S02-12
471        Th     Hepatocellular mean transit time   325.078209         sec    29.739300      2      1  S02-12
472       Kbh        Biliary tissue excretion rate     0.003076  mL/sec/cm3     0.000000      2      1  S02-12
473       Khe    Hepatocellular tissue uptake rate     0.146581  mL/sec/cm3     0.000000      2      1  S02-12
474       kbh               Biliary excretion rate     0.002369  mL/sec/cm3     0.000000      2      1  S02-12
475         E            Liver extraction fraction     0.604917                 0.000000      2      1  S02-12
476    Ktrans             Hepatic plasma clearance     0.013320  mL/sec/cm3     0.000000      2      1  S02-12
477         H                           Hematocrit     0.418000                 0.000000      2      2  S02-12
478        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      2  S02-12
479       khe           Hepatocellular uptake rate     0.004421  mL/sec/cm3     0.000636      2      2  S02-12
480        Th     Hepatocellular mean transit time   725.511813         sec   165.265354      2      2  S02-12
481       Kbh        Biliary tissue excretion rate     0.001378  mL/sec/cm3     0.000000      2      2  S02-12
482       Khe    Hepatocellular tissue uptake rate     0.019222  mL/sec/cm3     0.000000      2      2  S02-12
483       kbh               Biliary excretion rate     0.001061  mL/sec/cm3     0.000000      2      2  S02-12
484         E            Liver extraction fraction     0.167212                 0.000000      2      2  S02-12
485    Ktrans             Hepatic plasma clearance     0.003682  mL/sec/cm3     0.000000      2      2  S02-12
486         H                           Hematocrit     0.418000                 0.000000      2      3  S02-12
487        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      3  S02-12
488       khe           Hepatocellular uptake rate     0.003991  mL/sec/cm3     0.000631      2      3  S02-12
489        Th     Hepatocellular mean transit time   821.109052         sec   221.201009      2      3  S02-12
490       Kbh        Biliary tissue excretion rate     0.001218  mL/sec/cm3     0.000000      2      3  S02-12
491       Khe    Hepatocellular tissue uptake rate     0.017350  mL/sec/cm3     0.000000      2      3  S02-12
492       kbh               Biliary excretion rate     0.000938  mL/sec/cm3     0.000000      2      3  S02-12
493         E            Liver extraction fraction     0.153427                 0.000000      2      3  S02-12
494    Ktrans             Hepatic plasma clearance     0.003378  mL/sec/cm3     0.000000      2      3  S02-12
495         H                           Hematocrit     0.418000                 0.000000      2      1  S02-13
496        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      1  S02-13
497       khe           Hepatocellular uptake rate     0.039753  mL/sec/cm3     0.004960      2      1  S02-13
498        Th     Hepatocellular mean transit time   202.598613         sec    26.098708      2      1  S02-13
499       Kbh        Biliary tissue excretion rate     0.004936  mL/sec/cm3     0.000000      2      1  S02-13
500       Khe    Hepatocellular tissue uptake rate     0.172838  mL/sec/cm3     0.000000      2      1  S02-13
501       kbh               Biliary excretion rate     0.003801  mL/sec/cm3     0.000000      2      1  S02-13
502         E            Liver extraction fraction     0.643542                 0.000000      2      1  S02-13
503    Ktrans             Hepatic plasma clearance     0.014170  mL/sec/cm3     0.000000      2      1  S02-13
504         H                           Hematocrit     0.418000                 0.000000      2      2  S02-13
505        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      2  S02-13
506       khe           Hepatocellular uptake rate     0.003596  mL/sec/cm3     0.000467      2      2  S02-13
507        Th     Hepatocellular mean transit time   638.421854         sec   122.825533      2      2  S02-13
508       Kbh        Biliary tissue excretion rate     0.001566  mL/sec/cm3     0.000000      2      2  S02-13
509       Khe    Hepatocellular tissue uptake rate     0.015634  mL/sec/cm3     0.000000      2      2  S02-13
510       kbh               Biliary excretion rate     0.001206  mL/sec/cm3     0.000000      2      2  S02-13
511         E            Liver extraction fraction     0.140378                 0.000000      2      2  S02-13
512    Ktrans             Hepatic plasma clearance     0.003091  mL/sec/cm3     0.000000      2      2  S02-13
513         H                           Hematocrit     0.418000                 0.000000      2      1  S02-01
514        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      1  S02-01
515       khe           Hepatocellular uptake rate     0.021548  mL/sec/cm3     0.001331      2      1  S02-01
516        Th     Hepatocellular mean transit time   440.706023         sec    33.076550      2      1  S02-01
517       Kbh        Biliary tissue excretion rate     0.002269  mL/sec/cm3     0.000000      2      1  S02-01
518       Khe    Hepatocellular tissue uptake rate     0.093686  mL/sec/cm3     0.000000      2      1  S02-01
519       kbh               Biliary excretion rate     0.001747  mL/sec/cm3     0.000000      2      1  S02-01
520         E            Liver extraction fraction     0.494592                 0.000000      2      1  S02-01
521    Ktrans             Hepatic plasma clearance     0.010890  mL/sec/cm3     0.000000      2      1  S02-01
522         H                           Hematocrit     0.418000                 0.000000      2      2  S02-01
523        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      2  S02-01
524       khe           Hepatocellular uptake rate     0.001946  mL/sec/cm3     0.000180      2      2  S02-01
525        Th     Hepatocellular mean transit time   845.764697         sec   136.433610      2      2  S02-01
526       Kbh        Biliary tissue excretion rate     0.001182  mL/sec/cm3     0.000000      2      2  S02-01
527       Khe    Hepatocellular tissue uptake rate     0.008462  mL/sec/cm3     0.000000      2      2  S02-01
528       kbh               Biliary excretion rate     0.000910  mL/sec/cm3     0.000000      2      2  S02-01
529         E            Liver extraction fraction     0.081208                 0.000000      2      2  S02-01
530    Ktrans             Hepatic plasma clearance     0.001788  mL/sec/cm3     0.000000      2      2  S02-01
531         H                           Hematocrit     0.418000                 0.000000      2      1  S02-02
532        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      1  S02-02
533       khe           Hepatocellular uptake rate     0.025778  mL/sec/cm3     0.001678      2      1  S02-02
534        Th     Hepatocellular mean transit time   397.102038         sec    30.112095      2      1  S02-02
535       Kbh        Biliary tissue excretion rate     0.002518  mL/sec/cm3     0.000000      2      1  S02-02
536       Khe    Hepatocellular tissue uptake rate     0.112076  mL/sec/cm3     0.000000      2      1  S02-02
537       kbh               Biliary excretion rate     0.001939  mL/sec/cm3     0.000000      2      1  S02-02
538         E            Liver extraction fraction     0.539319                 0.000000      2      1  S02-02
539    Ktrans             Hepatic plasma clearance     0.011875  mL/sec/cm3     0.000000      2      1  S02-02
540         H                           Hematocrit     0.418000                 0.000000      2      2  S02-02
541        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      2  S02-02
542       khe           Hepatocellular uptake rate     0.003474  mL/sec/cm3     0.000463      2      2  S02-02
543        Th     Hepatocellular mean transit time   757.473224         sec   163.926280      2      2  S02-02
544       Kbh        Biliary tissue excretion rate     0.001320  mL/sec/cm3     0.000000      2      2  S02-02
545       Khe    Hepatocellular tissue uptake rate     0.015106  mL/sec/cm3     0.000000      2      2  S02-02
546       kbh               Biliary excretion rate     0.001017  mL/sec/cm3     0.000000      2      2  S02-02
547         E            Liver extraction fraction     0.136283                 0.000000      2      2  S02-02
548    Ktrans             Hepatic plasma clearance     0.003001  mL/sec/cm3     0.000000      2      2  S02-02
549         H                           Hematocrit     0.418000                 0.000000      2      3  S02-02
550        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      3  S02-02
551       khe           Hepatocellular uptake rate     0.002603  mL/sec/cm3     0.000327      2      3  S02-02
552        Th     Hepatocellular mean transit time  1114.845763         sec   292.899386      2      3  S02-02
553       Kbh        Biliary tissue excretion rate     0.000897  mL/sec/cm3     0.000000      2      3  S02-02
554       Khe    Hepatocellular tissue uptake rate     0.011317  mL/sec/cm3     0.000000      2      3  S02-02
555       kbh               Biliary excretion rate     0.000691  mL/sec/cm3     0.000000      2      3  S02-02
556         E            Liver extraction fraction     0.105712                 0.000000      2      3  S02-02
557    Ktrans             Hepatic plasma clearance     0.002328  mL/sec/cm3     0.000000      2      3  S02-02
558         H                           Hematocrit     0.418000                 0.000000      2      1  S02-03
559        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      1  S02-03
560       khe           Hepatocellular uptake rate     0.030109  mL/sec/cm3     0.001970      2      1  S02-03
561        Th     Hepatocellular mean transit time   317.048967         sec    22.752603      2      1  S02-03
562       Kbh        Biliary tissue excretion rate     0.003154  mL/sec/cm3     0.000000      2      1  S02-03
563       Khe    Hepatocellular tissue uptake rate     0.130908  mL/sec/cm3     0.000000      2      1  S02-03
564       kbh               Biliary excretion rate     0.002429  mL/sec/cm3     0.000000      2      1  S02-03
565         E            Liver extraction fraction     0.577597                 0.000000      2      1  S02-03
566    Ktrans             Hepatic plasma clearance     0.012718  mL/sec/cm3     0.000000      2      1  S02-03
567         H                           Hematocrit     0.418000                 0.000000      2      2  S02-03
568        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      2  S02-03
569       khe           Hepatocellular uptake rate     0.038579  mL/sec/cm3     0.004030      2      2  S02-03
570        Th     Hepatocellular mean transit time   239.081601         sec    26.044190      2      2  S02-03
571       Kbh        Biliary tissue excretion rate     0.004183  mL/sec/cm3     0.000000      2      2  S02-03
572       Khe    Hepatocellular tissue uptake rate     0.167736  mL/sec/cm3     0.000000      2      2  S02-03
573       kbh               Biliary excretion rate     0.003221  mL/sec/cm3     0.000000      2      2  S02-03
574         E            Liver extraction fraction     0.636640                 0.000000      2      2  S02-03
575    Ktrans             Hepatic plasma clearance     0.014018  mL/sec/cm3     0.000000      2      2  S02-03
576         H                           Hematocrit     0.418000                 0.000000      2      3  S02-03
577        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      3  S02-03
578       khe           Hepatocellular uptake rate     0.039800  mL/sec/cm3     0.003786      2      3  S02-03
579        Th     Hepatocellular mean transit time   288.962937         sec    29.107115      2      3  S02-03
580       Kbh        Biliary tissue excretion rate     0.003461  mL/sec/cm3     0.000000      2      3  S02-03
581       Khe    Hepatocellular tissue uptake rate     0.173042  mL/sec/cm3     0.000000      2      3  S02-03
582       kbh               Biliary excretion rate     0.002665  mL/sec/cm3     0.000000      2      3  S02-03
583         E            Liver extraction fraction     0.643813                 0.000000      2      3  S02-03
584    Ktrans             Hepatic plasma clearance     0.014176  mL/sec/cm3     0.000000      2      3  S02-03
585         H                           Hematocrit     0.418000                 0.000000      2      1  S02-04
586        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      1  S02-04
587       khe           Hepatocellular uptake rate     0.035127  mL/sec/cm3     0.003570      2      1  S02-04
588        Th     Hepatocellular mean transit time   269.476622         sec    29.053769      2      1  S02-04
589       Kbh        Biliary tissue excretion rate     0.003711  mL/sec/cm3     0.000000      2      1  S02-04
590       Khe    Hepatocellular tissue uptake rate     0.152727  mL/sec/cm3     0.000000      2      1  S02-04
591       kbh               Biliary excretion rate     0.002857  mL/sec/cm3     0.000000      2      1  S02-04
592         E            Liver extraction fraction     0.614691                 0.000000      2      1  S02-04
593    Ktrans             Hepatic plasma clearance     0.013535  mL/sec/cm3     0.000000      2      1  S02-04
594         H                           Hematocrit     0.418000                 0.000000      2      2  S02-04
595        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      2  S02-04
596       khe           Hepatocellular uptake rate     0.042234  mL/sec/cm3     0.003929      2      2  S02-04
597        Th     Hepatocellular mean transit time   275.887774         sec    26.891997      2      2  S02-04
598       Kbh        Biliary tissue excretion rate     0.003625  mL/sec/cm3     0.000000      2      2  S02-04
599       Khe    Hepatocellular tissue uptake rate     0.183626  mL/sec/cm3     0.000000      2      2  S02-04
600       kbh               Biliary excretion rate     0.002791  mL/sec/cm3     0.000000      2      2  S02-04
601         E            Liver extraction fraction     0.657308                 0.000000      2      2  S02-04
602    Ktrans             Hepatic plasma clearance     0.014473  mL/sec/cm3     0.000000      2      2  S02-04
603         H                           Hematocrit     0.418000                 0.000000      2      3  S02-04
604        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      3  S02-04
605       khe           Hepatocellular uptake rate     0.045804  mL/sec/cm3     0.004516      2      3  S02-04
606        Th     Hepatocellular mean transit time   301.408964         sec    31.252167      2      3  S02-04
607       Kbh        Biliary tissue excretion rate     0.003318  mL/sec/cm3     0.000000      2      3  S02-04
608       Khe    Hepatocellular tissue uptake rate     0.199146  mL/sec/cm3     0.000000      2      3  S02-04
609       kbh               Biliary excretion rate     0.002555  mL/sec/cm3     0.000000      2      3  S02-04
610         E            Liver extraction fraction     0.675344                 0.000000      2      3  S02-04
611    Ktrans             Hepatic plasma clearance     0.014870  mL/sec/cm3     0.000000      2      3  S02-04
612         H                           Hematocrit     0.418000                 0.000000      2      1  S02-05
613        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      1  S02-05
614       khe           Hepatocellular uptake rate     0.030060  mL/sec/cm3     0.002416      2      1  S02-05
615        Th     Hepatocellular mean transit time   336.682806         sec    30.003822      2      1  S02-05
616       Kbh        Biliary tissue excretion rate     0.002970  mL/sec/cm3     0.000000      2      1  S02-05
617       Khe    Hepatocellular tissue uptake rate     0.130695  mL/sec/cm3     0.000000      2      1  S02-05
618       kbh               Biliary excretion rate     0.002287  mL/sec/cm3     0.000000      2      1  S02-05
619         E            Liver extraction fraction     0.577198                 0.000000      2      1  S02-05
620    Ktrans             Hepatic plasma clearance     0.012709  mL/sec/cm3     0.000000      2      1  S02-05
621         H                           Hematocrit     0.418000                 0.000000      2      2  S02-05
622        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      2  S02-05
623       khe           Hepatocellular uptake rate     0.026442  mL/sec/cm3     0.002324      2      2  S02-05
624        Th     Hepatocellular mean transit time   340.304093         sec    33.520207      2      2  S02-05
625       Kbh        Biliary tissue excretion rate     0.002939  mL/sec/cm3     0.000000      2      2  S02-05
626       Khe    Hepatocellular tissue uptake rate     0.114964  mL/sec/cm3     0.000000      2      2  S02-05
627       kbh               Biliary excretion rate     0.002263  mL/sec/cm3     0.000000      2      2  S02-05
628         E            Liver extraction fraction     0.545632                 0.000000      2      2  S02-05
629    Ktrans             Hepatic plasma clearance     0.012014  mL/sec/cm3     0.000000      2      2  S02-05
630         H                           Hematocrit     0.418000                 0.000000      2      3  S02-05
631        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      3  S02-05
632       khe           Hepatocellular uptake rate     0.028607  mL/sec/cm3     0.001605      2      3  S02-05
633        Th     Hepatocellular mean transit time   386.899602         sec    24.313154      2      3  S02-05
634       Kbh        Biliary tissue excretion rate     0.002585  mL/sec/cm3     0.000000      2      3  S02-05
635       Khe    Hepatocellular tissue uptake rate     0.124379  mL/sec/cm3     0.000000      2      3  S02-05
636       kbh               Biliary excretion rate     0.001990  mL/sec/cm3     0.000000      2      3  S02-05
637         E            Liver extraction fraction     0.565066                 0.000000      2      3  S02-05
638    Ktrans             Hepatic plasma clearance     0.012442  mL/sec/cm3     0.000000      2      3  S02-05
639         H                           Hematocrit     0.418000                 0.000000      2      1  S02-06
640        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      1  S02-06
641       khe           Hepatocellular uptake rate     0.032890  mL/sec/cm3     0.003261      2      1  S02-06
642        Th     Hepatocellular mean transit time   304.920603         sec    32.738815      2      1  S02-06
643       Kbh        Biliary tissue excretion rate     0.003280  mL/sec/cm3     0.000000      2      1  S02-06
644       Khe    Hepatocellular tissue uptake rate     0.143001  mL/sec/cm3     0.000000      2      1  S02-06
645       kbh               Biliary excretion rate     0.002525  mL/sec/cm3     0.000000      2      1  S02-06
646         E            Liver extraction fraction     0.598992                 0.000000      2      1  S02-06
647    Ktrans             Hepatic plasma clearance     0.013189  mL/sec/cm3     0.000000      2      1  S02-06
648         H                           Hematocrit     0.418000                 0.000000      2      2  S02-06
649        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      2  S02-06
650       khe           Hepatocellular uptake rate     0.037632  mL/sec/cm3     0.003892      2      2  S02-06
651        Th     Hepatocellular mean transit time   253.001242         sec    27.457199      2      2  S02-06
652       Kbh        Biliary tissue excretion rate     0.003953  mL/sec/cm3     0.000000      2      2  S02-06
653       Khe    Hepatocellular tissue uptake rate     0.163616  mL/sec/cm3     0.000000      2      2  S02-06
654       kbh               Biliary excretion rate     0.003043  mL/sec/cm3     0.000000      2      2  S02-06
655         E            Liver extraction fraction     0.630868                 0.000000      2      2  S02-06
656    Ktrans             Hepatic plasma clearance     0.013891  mL/sec/cm3     0.000000      2      2  S02-06
657         H                           Hematocrit     0.418000                 0.000000      2      3  S02-06
658        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      3  S02-06
659       khe           Hepatocellular uptake rate     0.041598  mL/sec/cm3     0.003990      2      3  S02-06
660        Th     Hepatocellular mean transit time   290.123748         sec    29.366197      2      3  S02-06
661       Kbh        Biliary tissue excretion rate     0.003447  mL/sec/cm3     0.000000      2      3  S02-06
662       Khe    Hepatocellular tissue uptake rate     0.180861  mL/sec/cm3     0.000000      2      3  S02-06
663       kbh               Biliary excretion rate     0.002654  mL/sec/cm3     0.000000      2      3  S02-06
664         E            Liver extraction fraction     0.653882                 0.000000      2      3  S02-06
665    Ktrans             Hepatic plasma clearance     0.014398  mL/sec/cm3     0.000000      2      3  S02-06
666         H                           Hematocrit     0.418000                 0.000000      2      1  S02-07
667        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      1  S02-07
668       khe           Hepatocellular uptake rate     0.024459  mL/sec/cm3     0.001955      2      1  S02-07
669        Th     Hepatocellular mean transit time   380.184330         sec    35.096166      2      1  S02-07
670       Kbh        Biliary tissue excretion rate     0.002630  mL/sec/cm3     0.000000      2      1  S02-07
671       Khe    Hepatocellular tissue uptake rate     0.106343  mL/sec/cm3     0.000000      2      1  S02-07
672       kbh               Biliary excretion rate     0.002025  mL/sec/cm3     0.000000      2      1  S02-07
673         E            Liver extraction fraction     0.526248                 0.000000      2      1  S02-07
674    Ktrans             Hepatic plasma clearance     0.011587  mL/sec/cm3     0.000000      2      1  S02-07
675         H                           Hematocrit     0.418000                 0.000000      2      2  S02-07
676        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      2  S02-07
677       khe           Hepatocellular uptake rate     0.003154  mL/sec/cm3     0.000490      2      2  S02-07
678        Th     Hepatocellular mean transit time   751.778722         sec   189.230251      2      2  S02-07
679       Kbh        Biliary tissue excretion rate     0.001330  mL/sec/cm3     0.000000      2      2  S02-07
680       Khe    Hepatocellular tissue uptake rate     0.013714  mL/sec/cm3     0.000000      2      2  S02-07
681       kbh               Biliary excretion rate     0.001024  mL/sec/cm3     0.000000      2      2  S02-07
682         E            Liver extraction fraction     0.125299                 0.000000      2      2  S02-07
683    Ktrans             Hepatic plasma clearance     0.002759  mL/sec/cm3     0.000000      2      2  S02-07
684         H                           Hematocrit     0.418000                 0.000000      2      3  S02-07
685        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      3  S02-07
686       khe           Hepatocellular uptake rate     0.003412  mL/sec/cm3     0.000464      2      3  S02-07
687        Th     Hepatocellular mean transit time   877.242027         sec   211.897850      2      3  S02-07
688       Kbh        Biliary tissue excretion rate     0.001140  mL/sec/cm3     0.000000      2      3  S02-07
689       Khe    Hepatocellular tissue uptake rate     0.014836  mL/sec/cm3     0.000000      2      3  S02-07
690       kbh               Biliary excretion rate     0.000878  mL/sec/cm3     0.000000      2      3  S02-07
691         E            Liver extraction fraction     0.134177                 0.000000      2      3  S02-07
692    Ktrans             Hepatic plasma clearance     0.002954  mL/sec/cm3     0.000000      2      3  S02-07
693         H                           Hematocrit     0.418000                 0.000000      2      1  S02-08
694        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      1  S02-08
695       khe           Hepatocellular uptake rate     0.027489  mL/sec/cm3     0.002585      2      1  S02-08
696        Th     Hepatocellular mean transit time   353.786601         sec    37.493639      2      1  S02-08
697       Kbh        Biliary tissue excretion rate     0.002827  mL/sec/cm3     0.000000      2      1  S02-08
698       Khe    Hepatocellular tissue uptake rate     0.119517  mL/sec/cm3     0.000000      2      1  S02-08
699       kbh               Biliary excretion rate     0.002176  mL/sec/cm3     0.000000      2      1  S02-08
700         E            Liver extraction fraction     0.555244                 0.000000      2      1  S02-08
701    Ktrans             Hepatic plasma clearance     0.012226  mL/sec/cm3     0.000000      2      1  S02-08
702         H                           Hematocrit     0.418000                 0.000000      2      2  S02-08
703        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      2  S02-08
704       khe           Hepatocellular uptake rate     0.003282  mL/sec/cm3     0.000530      2      2  S02-08
705        Th     Hepatocellular mean transit time   623.838535         sec   147.683923      2      2  S02-08
706       Kbh        Biliary tissue excretion rate     0.001603  mL/sec/cm3     0.000000      2      2  S02-08
707       Khe    Hepatocellular tissue uptake rate     0.014269  mL/sec/cm3     0.000000      2      2  S02-08
708       kbh               Biliary excretion rate     0.001234  mL/sec/cm3     0.000000      2      2  S02-08
709         E            Liver extraction fraction     0.129715                 0.000000      2      2  S02-08
710    Ktrans             Hepatic plasma clearance     0.002856  mL/sec/cm3     0.000000      2      2  S02-08
711         H                           Hematocrit     0.418000                 0.000000      2      3  S02-08
712        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      3  S02-08
713       khe           Hepatocellular uptake rate     0.005241  mL/sec/cm3     0.000602      2      3  S02-08
714        Th     Hepatocellular mean transit time   794.362536         sec   152.033909      2      3  S02-08
715       Kbh        Biliary tissue excretion rate     0.001259  mL/sec/cm3     0.000000      2      3  S02-08
716       Khe    Hepatocellular tissue uptake rate     0.022786  mL/sec/cm3     0.000000      2      3  S02-08
717       kbh               Biliary excretion rate     0.000969  mL/sec/cm3     0.000000      2      3  S02-08
718         E            Liver extraction fraction     0.192252                 0.000000      2      3  S02-08
719    Ktrans             Hepatic plasma clearance     0.004233  mL/sec/cm3     0.000000      2      3  S02-08
720         H                           Hematocrit     0.418000                 0.000000      2      1  S02-09
721        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      1  S02-09
722       khe           Hepatocellular uptake rate     0.024240  mL/sec/cm3     0.001681      2      1  S02-09
723        Th     Hepatocellular mean transit time   292.356719         sec    22.268834      2      1  S02-09
724       Kbh        Biliary tissue excretion rate     0.003420  mL/sec/cm3     0.000000      2      1  S02-09
725       Khe    Hepatocellular tissue uptake rate     0.105390  mL/sec/cm3     0.000000      2      1  S02-09
726       kbh               Biliary excretion rate     0.002634  mL/sec/cm3     0.000000      2      1  S02-09
727         E            Liver extraction fraction     0.524004                 0.000000      2      1  S02-09
728    Ktrans             Hepatic plasma clearance     0.011538  mL/sec/cm3     0.000000      2      1  S02-09
729         H                           Hematocrit     0.418000                 0.000000      2      2  S02-09
730        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      2  S02-09
731       khe           Hepatocellular uptake rate     0.039321  mL/sec/cm3     0.005100      2      2  S02-09
732        Th     Hepatocellular mean transit time   214.503940         sec    28.804541      2      2  S02-09
733       Kbh        Biliary tissue excretion rate     0.004662  mL/sec/cm3     0.000000      2      2  S02-09
734       Khe    Hepatocellular tissue uptake rate     0.170962  mL/sec/cm3     0.000000      2      2  S02-09
735       kbh               Biliary excretion rate     0.003590  mL/sec/cm3     0.000000      2      2  S02-09
736         E            Liver extraction fraction     0.641035                 0.000000      2      2  S02-09
737    Ktrans             Hepatic plasma clearance     0.014115  mL/sec/cm3     0.000000      2      2  S02-09
738         H                           Hematocrit     0.418000                 0.000000      2      3  S02-09
739        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      2      3  S02-09
740       khe           Hepatocellular uptake rate     0.026180  mL/sec/cm3     0.002023      2      3  S02-09
741        Th     Hepatocellular mean transit time   334.039818         sec    28.843448      2      3  S02-09
742       Kbh        Biliary tissue excretion rate     0.002994  mL/sec/cm3     0.000000      2      3  S02-09
743       Khe    Hepatocellular tissue uptake rate     0.113826  mL/sec/cm3     0.000000      2      3  S02-09
744       kbh               Biliary excretion rate     0.002305  mL/sec/cm3     0.000000      2      3  S02-09
745         E            Liver extraction fraction     0.543164                 0.000000      2      3  S02-09
746    Ktrans             Hepatic plasma clearance     0.011960  mL/sec/cm3     0.000000      2      3  S02-09
747         H                           Hematocrit     0.418000                 0.000000      3      1  S03-01
748        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      3      1  S03-01
749       khe           Hepatocellular uptake rate     0.013776  mL/sec/cm3     0.000875      3      1  S03-01
750        Th     Hepatocellular mean transit time   222.588308         sec    15.615521      3      1  S03-01
751       Kbh        Biliary tissue excretion rate     0.004493  mL/sec/cm3     0.000000      3      1  S03-01
752       Khe    Hepatocellular tissue uptake rate     0.059896  mL/sec/cm3     0.000000      3      1  S03-01
753       kbh               Biliary excretion rate     0.003459  mL/sec/cm3     0.000000      3      1  S03-01
754         E            Liver extraction fraction     0.384860                 0.000000      3      1  S03-01
755    Ktrans             Hepatic plasma clearance     0.008474  mL/sec/cm3     0.000000      3      1  S03-01
756         H                           Hematocrit     0.418000                 0.000000      3      2  S03-01
757        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      3      2  S03-01
758       khe           Hepatocellular uptake rate     0.020442  mL/sec/cm3     0.001566      3      2  S03-01
759        Th     Hepatocellular mean transit time   247.794496         sec    20.864064      3      2  S03-01
760       Kbh        Biliary tissue excretion rate     0.004036  mL/sec/cm3     0.000000      3      2  S03-01
761       Khe    Hepatocellular tissue uptake rate     0.088879  mL/sec/cm3     0.000000      3      2  S03-01
762       kbh               Biliary excretion rate     0.003107  mL/sec/cm3     0.000000      3      2  S03-01
763         E            Liver extraction fraction     0.481433                 0.000000      3      2  S03-01
764    Ktrans             Hepatic plasma clearance     0.010601  mL/sec/cm3     0.000000      3      2  S03-01
765         H                           Hematocrit     0.418000                 0.000000      3      1  S03-02
766        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      3      1  S03-02
767       khe           Hepatocellular uptake rate     0.024387  mL/sec/cm3     0.001573      3      1  S03-02
768        Th     Hepatocellular mean transit time   302.996256         sec    21.811302      3      1  S03-02
769       Kbh        Biliary tissue excretion rate     0.003300  mL/sec/cm3     0.000000      3      1  S03-02
770       Khe    Hepatocellular tissue uptake rate     0.106029  mL/sec/cm3     0.000000      3      1  S03-02
771       kbh               Biliary excretion rate     0.002541  mL/sec/cm3     0.000000      3      1  S03-02
772         E            Liver extraction fraction     0.525512                 0.000000      3      1  S03-02
773    Ktrans             Hepatic plasma clearance     0.011571  mL/sec/cm3     0.000000      3      1  S03-02
774         H                           Hematocrit     0.418000                 0.000000      3      2  S03-02
775        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      3      2  S03-02
776       khe           Hepatocellular uptake rate     0.022295  mL/sec/cm3     0.001347      3      2  S03-02
777        Th     Hepatocellular mean transit time   288.998209         sec    19.444060      3      2  S03-02
778       Kbh        Biliary tissue excretion rate     0.003460  mL/sec/cm3     0.000000      3      2  S03-02
779       Khe    Hepatocellular tissue uptake rate     0.096934  mL/sec/cm3     0.000000      3      2  S03-02
780       kbh               Biliary excretion rate     0.002664  mL/sec/cm3     0.000000      3      2  S03-02
781         E            Liver extraction fraction     0.503113                 0.000000      3      2  S03-02
782    Ktrans             Hepatic plasma clearance     0.011078  mL/sec/cm3     0.000000      3      2  S03-02
783         H                           Hematocrit     0.418000                 0.000000      3      1  S03-03
784        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      3      1  S03-03
785       khe           Hepatocellular uptake rate     0.030372  mL/sec/cm3     0.002648      3      1  S03-03
786        Th     Hepatocellular mean transit time   224.780832         sec    20.975165      3      1  S03-03
787       Kbh        Biliary tissue excretion rate     0.004449  mL/sec/cm3     0.000000      3      1  S03-03
788       Khe    Hepatocellular tissue uptake rate     0.132052  mL/sec/cm3     0.000000      3      1  S03-03
789       kbh               Biliary excretion rate     0.003426  mL/sec/cm3     0.000000      3      1  S03-03
790         E            Liver extraction fraction     0.579718                 0.000000      3      1  S03-03
791    Ktrans             Hepatic plasma clearance     0.012765  mL/sec/cm3     0.000000      3      1  S03-03
792         H                           Hematocrit     0.418000                 0.000000      3      2  S03-03
793        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      3      2  S03-03
794       khe           Hepatocellular uptake rate     0.038499  mL/sec/cm3     0.003622      3      2  S03-03
795        Th     Hepatocellular mean transit time   225.305168         sec    22.357772      3      2  S03-03
796       Kbh        Biliary tissue excretion rate     0.004438  mL/sec/cm3     0.000000      3      2  S03-03
797       Khe    Hepatocellular tissue uptake rate     0.167387  mL/sec/cm3     0.000000      3      2  S03-03
798       kbh               Biliary excretion rate     0.003418  mL/sec/cm3     0.000000      3      2  S03-03
799         E            Liver extraction fraction     0.636157                 0.000000      3      2  S03-03
800    Ktrans             Hepatic plasma clearance     0.014008  mL/sec/cm3     0.000000      3      2  S03-03
801         H                           Hematocrit     0.418000                 0.000000      3      1  S03-04
802        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      3      1  S03-04
803       khe           Hepatocellular uptake rate     0.025454  mL/sec/cm3     0.002103      3      1  S03-04
804        Th     Hepatocellular mean transit time   249.352820         sec    22.430301      3      1  S03-04
805       Kbh        Biliary tissue excretion rate     0.004010  mL/sec/cm3     0.000000      3      1  S03-04
806       Khe    Hepatocellular tissue uptake rate     0.110671  mL/sec/cm3     0.000000      3      1  S03-04
807       kbh               Biliary excretion rate     0.003088  mL/sec/cm3     0.000000      3      1  S03-04
808         E            Liver extraction fraction     0.536183                 0.000000      3      1  S03-04
809    Ktrans             Hepatic plasma clearance     0.011806  mL/sec/cm3     0.000000      3      1  S03-04
810         H                           Hematocrit     0.418000                 0.000000      3      2  S03-04
811        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      3      2  S03-04
812       khe           Hepatocellular uptake rate     0.016839  mL/sec/cm3     0.001532      3      2  S03-04
813        Th     Hepatocellular mean transit time   206.689953         sec    20.550415      3      2  S03-04
814       Kbh        Biliary tissue excretion rate     0.004838  mL/sec/cm3     0.000000      3      2  S03-04
815       Khe    Hepatocellular tissue uptake rate     0.073214  mL/sec/cm3     0.000000      3      2  S03-04
816       kbh               Biliary excretion rate     0.003725  mL/sec/cm3     0.000000      3      2  S03-04
817         E            Liver extraction fraction     0.433350                 0.000000      3      2  S03-04
818    Ktrans             Hepatic plasma clearance     0.009542  mL/sec/cm3     0.000000      3      2  S03-04
819         H                           Hematocrit     0.418000                 0.000000      3      1  S03-05
820        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      3      1  S03-05
821       khe           Hepatocellular uptake rate     0.027528  mL/sec/cm3     0.002199      3      1  S03-05
822        Th     Hepatocellular mean transit time   287.236009         sec    25.254941      3      1  S03-05
823       Kbh        Biliary tissue excretion rate     0.003481  mL/sec/cm3     0.000000      3      1  S03-05
824       Khe    Hepatocellular tissue uptake rate     0.119686  mL/sec/cm3     0.000000      3      1  S03-05
825       kbh               Biliary excretion rate     0.002681  mL/sec/cm3     0.000000      3      1  S03-05
826         E            Liver extraction fraction     0.555593                 0.000000      3      1  S03-05
827    Ktrans             Hepatic plasma clearance     0.012234  mL/sec/cm3     0.000000      3      1  S03-05
828         H                           Hematocrit     0.418000                 0.000000      3      2  S03-05
829        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      3      2  S03-05
830       khe           Hepatocellular uptake rate     0.022000  mL/sec/cm3     0.001433      3      2  S03-05
831        Th     Hepatocellular mean transit time   281.526939         sec    20.362253      3      2  S03-05
832       Kbh        Biliary tissue excretion rate     0.003552  mL/sec/cm3     0.000000      3      2  S03-05
833       Khe    Hepatocellular tissue uptake rate     0.095654  mL/sec/cm3     0.000000      3      2  S03-05
834       kbh               Biliary excretion rate     0.002735  mL/sec/cm3     0.000000      3      2  S03-05
835         E            Liver extraction fraction     0.499788                 0.000000      3      2  S03-05
836    Ktrans             Hepatic plasma clearance     0.011005  mL/sec/cm3     0.000000      3      2  S03-05
837         H                           Hematocrit     0.418000                 0.000000      3      1  S03-06
838        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      3      1  S03-06
839       khe           Hepatocellular uptake rate     0.031640  mL/sec/cm3     0.002389      3      1  S03-06
840        Th     Hepatocellular mean transit time   259.034311         sec    21.111328      3      1  S03-06
841       Kbh        Biliary tissue excretion rate     0.003860  mL/sec/cm3     0.000000      3      1  S03-06
842       Khe    Hepatocellular tissue uptake rate     0.137564  mL/sec/cm3     0.000000      3      1  S03-06
843       kbh               Biliary excretion rate     0.002973  mL/sec/cm3     0.000000      3      1  S03-06
844         E            Liver extraction fraction     0.589647                 0.000000      3      1  S03-06
845    Ktrans             Hepatic plasma clearance     0.012983  mL/sec/cm3     0.000000      3      1  S03-06
846         H                           Hematocrit     0.418000                 0.000000      3      2  S03-06
847        ve  Liver extracellular volume fraction     0.230000      mL/cm3     0.000000      3      2  S03-06
848       khe           Hepatocellular uptake rate     0.022691  mL/sec/cm3     0.001648      3      2  S03-06
849        Th     Hepatocellular mean transit time   284.192335         sec    22.906672      3      2  S03-06
850       Kbh        Biliary tissue excretion rate     0.003519  mL/sec/cm3     0.000000      3      2  S03-06
851       Khe    Hepatocellular tissue uptake rate     0.098657  mL/sec/cm3     0.000000      3      2  S03-06
852       kbh               Biliary excretion rate     0.002709  mL/sec/cm3     0.000000      3      2  S03-06
853         E            Liver extraction fraction     0.507516                 0.000000      3      2  S03-06
854    Ktrans             Hepatic plasma clearance     0.011175  mL/sec/cm3     0.000000      3      2  S03-06

Plot individual results#

Now let’s plot the biomarker values across visits for each study group. For this exercise, let’s specify khe and kbh as the biomarker parameters that we are interested in. For each subject, we can visualise the change in biomarker values between visits. For reference, in the below plots, the studies are numbered as follows: Study 1: Rifampicin repetitive dosing regime Study 2: Cyclosporine repetitive dosing regime Study 3: Bosentan repetitive dosing regime

# Customise plot settings
plt.rcParams["axes.titlesize"] = 25
plt.rcParams["axes.labelsize"] = 20
plt.rcParams["axes.labelweight"] = 'bold'
plt.rcParams["axes.titleweight"] = 'bold'
plt.rcParams["font.weight"] = 'bold'
plt.rc('axes', linewidth=1.5)
plt.rc('xtick', labelsize=15)
plt.rc('ytick', labelsize=15)
plt.rcParams["lines.linewidth"] = 1.5
plt.rcParams['lines.markersize'] = 2

# Extract results of interest, i.e., for parameters khe and kbh
filtered_data = results.query("parameter == 'khe' | parameter == 'kbh'")

# Plot distributions across visits per study groups and per biomarker
g = sns.catplot(data=filtered_data,
                x='visit',
                y='value',
                palette='rocket',
                hue='subject',
                row='parameter',
                col='study',
                kind='point',
                sharey=False)

g.set_titles(pad=15) # increase white space between subplots and titles

# Set limits for y-axes
for i in range(0, 3):
    g.axes[0, i].set(ylim=([0, 0.05]))

for i in range(0, 3):
    g.axes[1, i].set(ylim=([0, 0.005]))

g.set_ylabels("Value [mL/sec/cm3]") # set labels for y-axis

# reposition legend
sns.move_legend(g, "lower right", bbox_to_anchor=(0.95, 0.7))

plt.tight_layout()
plt.show()

# Choose the last image as a thumbnail for the gallery
# sphinx_gallery_thumbnail_number = -1
parameter = khe | study = 1, parameter = khe | study = 2, parameter = khe | study = 3, parameter = kbh | study = 1, parameter = kbh | study = 2, parameter = kbh | study = 3

Total running time of the script: (0 minutes 22.760 seconds)

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