Preclinical - reproducibility of hepatocellular function#

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

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

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

Reference

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

Setup#

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

# Fetch the data
data = dc.fetch('tristan_repro')

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(data, **kwargs):

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

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

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

        # Input parameters
        t = t,
        ca = ca,

        # Acquisition parameters
        field_strength = data['field_strength'],
        agent = 'gadoxetate',
        TR = data['TR'],
        FA = data['FA'],
        n0 = data['n0'],

        # Kinetic paramaters
        kinetics = '1I-IC-HF',
        H = 0.418,
        ve = 0.23,
        Fp = 0.022019, # mL/sec/cm3
        free = {
            'khe': [0, np.inf],
            'Th': [0, np.inf],
        },

        # Tissue paramaters
        R10 = 1/dc.T1(data['field_strength'], 'liver'),
    )

    return model.train(data['time'], data['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(data[0], xtol=1e-3, verbose=2)
   Iteration     Total nfev        Cost      Cost reduction    Step norm     Optimality
       0              1         1.1223e+02                                    2.78e+04
       1              3         5.7756e+01      5.45e+01       4.50e+02       4.47e+03
       2              5         4.8000e+01      9.76e+00       3.37e+02       2.26e+03
       3              6         3.6639e+01      1.14e+01       5.84e+02       7.38e+03
       4              7         1.8168e+01      1.85e+01       3.67e+01       7.55e+02
       5              8         1.5501e+01      2.67e+00       1.23e+02       1.51e+03
       6              9         1.3877e+01      1.62e+00       1.55e+00       2.54e+01
       7             10         1.3876e+01      4.86e-04       1.43e-02       1.95e-02
`xtol` termination condition is satisfied.
Function evaluations 10, initial cost 1.1223e+02, final cost 1.3876e+01, first-order optimality 1.95e-02.

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

model.plot(data[0]['time'], data[0]['liver'])
Prediction of the MRI signals., Reconstruction of concentrations.

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

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

Hepatocellular uptake rate (khe): 0.023 (0.003) mL/sec/cm3
Hepatocellular mean transit time (Th): 266.901 (33.958) 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): 0.099 mL/sec/cm3
Biliary excretion rate (kbh): 0.003 mL/sec/cm3
Liver extraction fraction (E): 0.508
Hepatic plasma clearance (Ktrans): 0.011 mL/sec/cm3

Fit all data#

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

results = []

# Loop over all datasets
for scan in data:

    # Generate a trained model for scan i:
    model = tristan_rat(scan, xtol=1e-3)

    # Save fitted parameters as a dataframe.
    pars = model.export_params()
    pars = pd.DataFrame.from_dict(pars,
        orient = 'index',
        columns = ["name", "value", "unit", 'stdev'])
    pars['parameter'] = pars.index
    pars['study'] = scan['study']
    pars['visit'] = scan['visit']
    pars['subject'] = scan['subject']

    # Add the dataframe to the list of results
    results.append(pars)

# Combine all results into a single dataframe.
results = pd.concat(results).reset_index(drop=True)

# Print all results
print(results.to_string())
                                    name         value        unit          stdev parameter  study  visit  subject
0                             Hematocrit      0.418000                   0.000000         H      1      1        1
1    Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      1      1        1
2             Hepatocellular uptake rate      0.022701  mL/sec/cm3       0.002651       khe      1      1        1
3       Hepatocellular mean transit time    266.901064         sec      33.957856        Th      1      1        1
4          Biliary tissue excretion rate      0.003747  mL/sec/cm3       0.000000       Kbh      1      1        1
5      Hepatocellular tissue uptake rate      0.098699  mL/sec/cm3       0.000000       Khe      1      1        1
6                 Biliary excretion rate      0.002885  mL/sec/cm3       0.000000       kbh      1      1        1
7              Liver extraction fraction      0.507622                   0.000000         E      1      1        1
8               Hepatic plasma clearance      0.011177  mL/sec/cm3       0.000000    Ktrans      1      1        1
9                             Hematocrit      0.418000                   0.000000         H      1      2        1
10   Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      1      2        1
11            Hepatocellular uptake rate      0.020918  mL/sec/cm3       0.003735       khe      1      2        1
12      Hepatocellular mean transit time    243.879773         sec      47.254760        Th      1      2        1
13         Biliary tissue excretion rate      0.004100  mL/sec/cm3       0.000000       Kbh      1      2        1
14     Hepatocellular tissue uptake rate      0.090949  mL/sec/cm3       0.000000       Khe      1      2        1
15                Biliary excretion rate      0.003157  mL/sec/cm3       0.000000       kbh      1      2        1
16             Liver extraction fraction      0.487183                   0.000000         E      1      2        1
17              Hepatic plasma clearance      0.010727  mL/sec/cm3       0.000000    Ktrans      1      2        1
18                            Hematocrit      0.418000                   0.000000         H      1      1        2
19   Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      1      1        2
20            Hepatocellular uptake rate      0.023369  mL/sec/cm3       0.002335       khe      1      1        2
21      Hepatocellular mean transit time    260.154158         sec      28.196566        Th      1      1        2
22         Biliary tissue excretion rate      0.003844  mL/sec/cm3       0.000000       Kbh      1      1        2
23     Hepatocellular tissue uptake rate      0.101603  mL/sec/cm3       0.000000       Khe      1      1        2
24                Biliary excretion rate      0.002960  mL/sec/cm3       0.000000       kbh      1      1        2
25             Liver extraction fraction      0.514869                   0.000000         E      1      1        2
26              Hepatic plasma clearance      0.011337  mL/sec/cm3       0.000000    Ktrans      1      1        2
27                            Hematocrit      0.418000                   0.000000         H      1      2        2
28   Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      1      2        2
29            Hepatocellular uptake rate      0.022508  mL/sec/cm3       0.002475       khe      1      2        2
30      Hepatocellular mean transit time    261.093933         sec      31.218844        Th      1      2        2
31         Biliary tissue excretion rate      0.003830  mL/sec/cm3       0.000000       Kbh      1      2        2
32     Hepatocellular tissue uptake rate      0.097860  mL/sec/cm3       0.000000       Khe      1      2        2
33                Biliary excretion rate      0.002949  mL/sec/cm3       0.000000       kbh      1      2        2
34             Liver extraction fraction      0.505490                   0.000000         E      1      2        2
35              Hepatic plasma clearance      0.011130  mL/sec/cm3       0.000000    Ktrans      1      2        2
36                            Hematocrit      0.418000                   0.000000         H      1      1        3
37   Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      1      1        3
38            Hepatocellular uptake rate      0.020732  mL/sec/cm3       0.001915       khe      1      1        3
39      Hepatocellular mean transit time    255.544433         sec      25.731754        Th      1      1        3
40         Biliary tissue excretion rate      0.003913  mL/sec/cm3       0.000000       Kbh      1      1        3
41     Hepatocellular tissue uptake rate      0.090140  mL/sec/cm3       0.000000       Khe      1      1        3
42                Biliary excretion rate      0.003013  mL/sec/cm3       0.000000       kbh      1      1        3
43             Liver extraction fraction      0.484950                   0.000000         E      1      1        3
44              Hepatic plasma clearance      0.010678  mL/sec/cm3       0.000000    Ktrans      1      1        3
45                            Hematocrit      0.418000                   0.000000         H      1      2        3
46   Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      1      2        3
47            Hepatocellular uptake rate      0.017791  mL/sec/cm3       0.000773       khe      1      2        3
48      Hepatocellular mean transit time    392.098904         sec      20.157139        Th      1      2        3
49         Biliary tissue excretion rate      0.002550  mL/sec/cm3       0.000000       Kbh      1      2        3
50     Hepatocellular tissue uptake rate      0.077352  mL/sec/cm3       0.000000       Khe      1      2        3
51                Biliary excretion rate      0.001964  mL/sec/cm3       0.000000       kbh      1      2        3
52             Liver extraction fraction      0.446896                   0.000000         E      1      2        3
53              Hepatic plasma clearance      0.009840  mL/sec/cm3       0.000000    Ktrans      1      2        3
54                            Hematocrit      0.418000                   0.000000         H      1      1        4
55   Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      1      1        4
56            Hepatocellular uptake rate      0.011437  mL/sec/cm3       0.001050       khe      1      1        4
57      Hepatocellular mean transit time    409.157248         sec      45.720199        Th      1      1        4
58         Biliary tissue excretion rate      0.002444  mL/sec/cm3       0.000000       Kbh      1      1        4
59     Hepatocellular tissue uptake rate      0.049726  mL/sec/cm3       0.000000       Khe      1      1        4
60                Biliary excretion rate      0.001882  mL/sec/cm3       0.000000       kbh      1      1        4
61             Liver extraction fraction      0.341853                   0.000000         E      1      1        4
62              Hepatic plasma clearance      0.007527  mL/sec/cm3       0.000000    Ktrans      1      1        4
63                            Hematocrit      0.418000                   0.000000         H      1      2        4
64   Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      1      2        4
65            Hepatocellular uptake rate      0.006051  mL/sec/cm3       0.000481       khe      1      2        4
66      Hepatocellular mean transit time    712.406726         sec      88.350553        Th      1      2        4
67         Biliary tissue excretion rate      0.001404  mL/sec/cm3       0.000000       Kbh      1      2        4
68     Hepatocellular tissue uptake rate      0.026308  mL/sec/cm3       0.000000       Khe      1      2        4
69                Biliary excretion rate      0.001081  mL/sec/cm3       0.000000       kbh      1      2        4
70             Liver extraction fraction      0.215562                   0.000000         E      1      2        4
71              Hepatic plasma clearance      0.004746  mL/sec/cm3       0.000000    Ktrans      1      2        4
72                            Hematocrit      0.418000                   0.000000         H      1      1        5
73   Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      1      1        5
74            Hepatocellular uptake rate      0.024691  mL/sec/cm3       0.003274       khe      1      1        5
75      Hepatocellular mean transit time    207.612963         sec      29.316346        Th      1      1        5
76         Biliary tissue excretion rate      0.004817  mL/sec/cm3       0.000000       Kbh      1      1        5
77     Hepatocellular tissue uptake rate      0.107352  mL/sec/cm3       0.000000       Khe      1      1        5
78                Biliary excretion rate      0.003709  mL/sec/cm3       0.000000       kbh      1      1        5
79             Liver extraction fraction      0.528601                   0.000000         E      1      1        5
80              Hepatic plasma clearance      0.011639  mL/sec/cm3       0.000000    Ktrans      1      1        5
81                            Hematocrit      0.418000                   0.000000         H      1      2        5
82   Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      1      2        5
83            Hepatocellular uptake rate      0.002797  mL/sec/cm3       0.000424       khe      1      2        5
84      Hepatocellular mean transit time    737.024993         sec     178.889125        Th      1      2        5
85         Biliary tissue excretion rate      0.001357  mL/sec/cm3       0.000000       Kbh      1      2        5
86     Hepatocellular tissue uptake rate      0.012161  mL/sec/cm3       0.000000       Khe      1      2        5
87                Biliary excretion rate      0.001045  mL/sec/cm3       0.000000       kbh      1      2        5
88             Liver extraction fraction      0.112714                   0.000000         E      1      2        5
89              Hepatic plasma clearance      0.002482  mL/sec/cm3       0.000000    Ktrans      1      2        5
90                            Hematocrit      0.418000                   0.000000         H      1      1        6
91   Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      1      1        6
92            Hepatocellular uptake rate      0.020065  mL/sec/cm3       0.002657       khe      1      1        6
93      Hepatocellular mean transit time    235.655481         sec      33.845440        Th      1      1        6
94         Biliary tissue excretion rate      0.004243  mL/sec/cm3       0.000000       Kbh      1      1        6
95     Hepatocellular tissue uptake rate      0.087239  mL/sec/cm3       0.000000       Khe      1      1        6
96                Biliary excretion rate      0.003267  mL/sec/cm3       0.000000       kbh      1      1        6
97             Liver extraction fraction      0.476784                   0.000000         E      1      1        6
98              Hepatic plasma clearance      0.010498  mL/sec/cm3       0.000000    Ktrans      1      1        6
99                            Hematocrit      0.418000                   0.000000         H      1      2        6
100  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      1      2        6
101           Hepatocellular uptake rate      0.004232  mL/sec/cm3       0.000535       khe      1      2        6
102     Hepatocellular mean transit time    570.914481         sec     101.110539        Th      1      2        6
103        Biliary tissue excretion rate      0.001752  mL/sec/cm3       0.000000       Kbh      1      2        6
104    Hepatocellular tissue uptake rate      0.018401  mL/sec/cm3       0.000000       Khe      1      2        6
105               Biliary excretion rate      0.001349  mL/sec/cm3       0.000000       kbh      1      2        6
106            Liver extraction fraction      0.161218                   0.000000         E      1      2        6
107             Hepatic plasma clearance      0.003550  mL/sec/cm3       0.000000    Ktrans      1      2        6
108                           Hematocrit      0.418000                   0.000000         H      2      1        1
109  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      2      1        1
110           Hepatocellular uptake rate      0.037553  mL/sec/cm3       0.002281       khe      2      1        1
111     Hepatocellular mean transit time    262.914010         sec      17.072280        Th      2      1        1
112        Biliary tissue excretion rate      0.003804  mL/sec/cm3       0.000000       Kbh      2      1        1
113    Hepatocellular tissue uptake rate      0.163274  mL/sec/cm3       0.000000       Khe      2      1        1
114               Biliary excretion rate      0.002929  mL/sec/cm3       0.000000       kbh      2      1        1
115            Liver extraction fraction      0.630380                   0.000000         E      2      1        1
116             Hepatic plasma clearance      0.013880  mL/sec/cm3       0.000000    Ktrans      2      1        1
117                           Hematocrit      0.418000                   0.000000         H      2      2        1
118  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      2      2        1
119           Hepatocellular uptake rate      0.009112  mL/sec/cm3       0.000716       khe      2      2        1
120     Hepatocellular mean transit time    272.981659         sec      24.397678        Th      2      2        1
121        Biliary tissue excretion rate      0.003663  mL/sec/cm3       0.000000       Kbh      2      2        1
122    Hepatocellular tissue uptake rate      0.039617  mL/sec/cm3       0.000000       Khe      2      2        1
123               Biliary excretion rate      0.002821  mL/sec/cm3       0.000000       kbh      2      2        1
124            Liver extraction fraction      0.292696                   0.000000         E      2      2        1
125             Hepatic plasma clearance      0.006445  mL/sec/cm3       0.000000    Ktrans      2      2        1
126                           Hematocrit      0.418000                   0.000000         H      2      1        2
127  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      2      1        2
128           Hepatocellular uptake rate      0.046339  mL/sec/cm3       0.006089       khe      2      1        2
129     Hepatocellular mean transit time    144.489242         sec      19.573871        Th      2      1        2
130        Biliary tissue excretion rate      0.006921  mL/sec/cm3       0.000000       Kbh      2      1        2
131    Hepatocellular tissue uptake rate      0.201472  mL/sec/cm3       0.000000       Khe      2      1        2
132               Biliary excretion rate      0.005329  mL/sec/cm3       0.000000       kbh      2      1        2
133            Liver extraction fraction      0.677885                   0.000000         E      2      1        2
134             Hepatic plasma clearance      0.014926  mL/sec/cm3       0.000000    Ktrans      2      1        2
135                           Hematocrit      0.418000                   0.000000         H      2      2        2
136  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      2      2        2
137           Hepatocellular uptake rate      0.026788  mL/sec/cm3       0.001283       khe      2      2        2
138     Hepatocellular mean transit time    268.125043         sec      14.044691        Th      2      2        2
139        Biliary tissue excretion rate      0.003730  mL/sec/cm3       0.000000       Kbh      2      2        2
140    Hepatocellular tissue uptake rate      0.116470  mL/sec/cm3       0.000000       Khe      2      2        2
141               Biliary excretion rate      0.002872  mL/sec/cm3       0.000000       kbh      2      2        2
142            Liver extraction fraction      0.548856                   0.000000         E      2      2        2
143             Hepatic plasma clearance      0.012085  mL/sec/cm3       0.000000    Ktrans      2      2        2
144                           Hematocrit      0.418000                   0.000000         H      2      1        3
145  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      2      1        3
146           Hepatocellular uptake rate      0.042612  mL/sec/cm3       0.003651       khe      2      1        3
147     Hepatocellular mean transit time    155.287619         sec      13.798939        Th      2      1        3
148        Biliary tissue excretion rate      0.006440  mL/sec/cm3       0.000000       Kbh      2      1        3
149    Hepatocellular tissue uptake rate      0.185268  mL/sec/cm3       0.000000       Khe      2      1        3
150               Biliary excretion rate      0.004959  mL/sec/cm3       0.000000       kbh      2      1        3
151            Liver extraction fraction      0.659310                   0.000000         E      2      1        3
152             Hepatic plasma clearance      0.014517  mL/sec/cm3       0.000000    Ktrans      2      1        3
153                           Hematocrit      0.418000                   0.000000         H      2      2        3
154  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      2      2        3
155           Hepatocellular uptake rate      0.029486  mL/sec/cm3       0.002314       khe      2      2        3
156     Hepatocellular mean transit time    166.931971         sec      13.883798        Th      2      2        3
157        Biliary tissue excretion rate      0.005990  mL/sec/cm3       0.000000       Kbh      2      2        3
158    Hepatocellular tissue uptake rate      0.128199  mL/sec/cm3       0.000000       Khe      2      2        3
159               Biliary excretion rate      0.004613  mL/sec/cm3       0.000000       kbh      2      2        3
160            Liver extraction fraction      0.572485                   0.000000         E      2      2        3
161             Hepatic plasma clearance      0.012606  mL/sec/cm3       0.000000    Ktrans      2      2        3
162                           Hematocrit      0.418000                   0.000000         H      2      1        4
163  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      2      1        4
164           Hepatocellular uptake rate      0.024529  mL/sec/cm3       0.001685       khe      2      1        4
165     Hepatocellular mean transit time    176.772736         sec      12.998496        Th      2      1        4
166        Biliary tissue excretion rate      0.005657  mL/sec/cm3       0.000000       Kbh      2      1        4
167    Hepatocellular tissue uptake rate      0.106649  mL/sec/cm3       0.000000       Khe      2      1        4
168               Biliary excretion rate      0.004356  mL/sec/cm3       0.000000       kbh      2      1        4
169            Liver extraction fraction      0.526963                   0.000000         E      2      1        4
170             Hepatic plasma clearance      0.011603  mL/sec/cm3       0.000000    Ktrans      2      1        4
171                           Hematocrit      0.418000                   0.000000         H      2      2        4
172  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      2      2        4
173           Hepatocellular uptake rate      0.002012  mL/sec/cm3       0.000273       khe      2      2        4
174     Hepatocellular mean transit time    665.775347         sec     137.384826        Th      2      2        4
175        Biliary tissue excretion rate      0.001502  mL/sec/cm3       0.000000       Kbh      2      2        4
176    Hepatocellular tissue uptake rate      0.008747  mL/sec/cm3       0.000000       Khe      2      2        4
177               Biliary excretion rate      0.001157  mL/sec/cm3       0.000000       kbh      2      2        4
178            Liver extraction fraction      0.083720                   0.000000         E      2      2        4
179             Hepatic plasma clearance      0.001843  mL/sec/cm3       0.000000    Ktrans      2      2        4
180                           Hematocrit      0.418000                   0.000000         H      2      1        5
181  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      2      1        5
182           Hepatocellular uptake rate      0.015487  mL/sec/cm3       0.001692       khe      2      1        5
183     Hepatocellular mean transit time    137.937824         sec      16.288495        Th      2      1        5
184        Biliary tissue excretion rate      0.007250  mL/sec/cm3       0.000000       Kbh      2      1        5
185    Hepatocellular tissue uptake rate      0.067334  mL/sec/cm3       0.000000       Khe      2      1        5
186               Biliary excretion rate      0.005582  mL/sec/cm3       0.000000       kbh      2      1        5
187            Liver extraction fraction      0.412917                   0.000000         E      2      1        5
188             Hepatic plasma clearance      0.009092  mL/sec/cm3       0.000000    Ktrans      2      1        5
189                           Hematocrit      0.418000                   0.000000         H      2      2        5
190  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      2      2        5
191           Hepatocellular uptake rate      0.005127  mL/sec/cm3       0.000557       khe      2      2        5
192     Hepatocellular mean transit time    446.263349         sec      61.828233        Th      2      2        5
193        Biliary tissue excretion rate      0.002241  mL/sec/cm3       0.000000       Kbh      2      2        5
194    Hepatocellular tissue uptake rate      0.022292  mL/sec/cm3       0.000000       Khe      2      2        5
195               Biliary excretion rate      0.001725  mL/sec/cm3       0.000000       kbh      2      2        5
196            Liver extraction fraction      0.188871                   0.000000         E      2      2        5
197             Hepatic plasma clearance      0.004159  mL/sec/cm3       0.000000    Ktrans      2      2        5
198                           Hematocrit      0.418000                   0.000000         H      2      1        6
199  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      2      1        6
200           Hepatocellular uptake rate      0.024838  mL/sec/cm3       0.001156       khe      2      1        6
201     Hepatocellular mean transit time    273.362928         sec      13.997410        Th      2      1        6
202        Biliary tissue excretion rate      0.003658  mL/sec/cm3       0.000000       Kbh      2      1        6
203    Hepatocellular tissue uptake rate      0.107989  mL/sec/cm3       0.000000       Khe      2      1        6
204               Biliary excretion rate      0.002817  mL/sec/cm3       0.000000       kbh      2      1        6
205            Liver extraction fraction      0.530077                   0.000000         E      2      1        6
206             Hepatic plasma clearance      0.011672  mL/sec/cm3       0.000000    Ktrans      2      1        6
207                           Hematocrit      0.418000                   0.000000         H      2      2        6
208  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      2      2        6
209           Hepatocellular uptake rate      0.005436  mL/sec/cm3       0.000346       khe      2      2        6
210     Hepatocellular mean transit time    521.114358         sec      44.688732        Th      2      2        6
211        Biliary tissue excretion rate      0.001919  mL/sec/cm3       0.000000       Kbh      2      2        6
212    Hepatocellular tissue uptake rate      0.023633  mL/sec/cm3       0.000000       Khe      2      2        6
213               Biliary excretion rate      0.001478  mL/sec/cm3       0.000000       kbh      2      2        6
214            Liver extraction fraction      0.197984                   0.000000         E      2      2        6
215             Hepatic plasma clearance      0.004359  mL/sec/cm3       0.000000    Ktrans      2      2        6
216                           Hematocrit      0.418000                   0.000000         H      3      1        1
217  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      3      1        1
218           Hepatocellular uptake rate      0.024023  mL/sec/cm3       0.001109       khe      3      1        1
219     Hepatocellular mean transit time    312.195533         sec      16.179354        Th      3      1        1
220        Biliary tissue excretion rate      0.003203  mL/sec/cm3       0.000000       Kbh      3      1        1
221    Hepatocellular tissue uptake rate      0.104449  mL/sec/cm3       0.000000       Khe      3      1        1
222               Biliary excretion rate      0.002466  mL/sec/cm3       0.000000       kbh      3      1        1
223            Liver extraction fraction      0.521766                   0.000000         E      3      1        1
224             Hepatic plasma clearance      0.011489  mL/sec/cm3       0.000000    Ktrans      3      1        1
225                           Hematocrit      0.418000                   0.000000         H      3      2        1
226  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      3      2        1
227           Hepatocellular uptake rate      0.034071  mL/sec/cm3       0.002178       khe      3      2        1
228     Hepatocellular mean transit time    229.896375         sec      15.643979        Th      3      2        1
229        Biliary tissue excretion rate      0.004350  mL/sec/cm3       0.000000       Kbh      3      2        1
230    Hepatocellular tissue uptake rate      0.148137  mL/sec/cm3       0.000000       Khe      3      2        1
231               Biliary excretion rate      0.003349  mL/sec/cm3       0.000000       kbh      3      2        1
232            Liver extraction fraction      0.607438                   0.000000         E      3      2        1
233             Hepatic plasma clearance      0.013375  mL/sec/cm3       0.000000    Ktrans      3      2        1
234                           Hematocrit      0.418000                   0.000000         H      3      1        2
235  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      3      1        2
236           Hepatocellular uptake rate      0.027256  mL/sec/cm3       0.001718       khe      3      1        2
237     Hepatocellular mean transit time    320.467865         sec      22.611328        Th      3      1        2
238        Biliary tissue excretion rate      0.003120  mL/sec/cm3       0.000000       Kbh      3      1        2
239    Hepatocellular tissue uptake rate      0.118505  mL/sec/cm3       0.000000       Khe      3      1        2
240               Biliary excretion rate      0.002403  mL/sec/cm3       0.000000       kbh      3      1        2
241            Liver extraction fraction      0.553141                   0.000000         E      3      1        2
242             Hepatic plasma clearance      0.012180  mL/sec/cm3       0.000000    Ktrans      3      1        2
243                           Hematocrit      0.418000                   0.000000         H      3      2        2
244  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      3      2        2
245           Hepatocellular uptake rate      0.018993  mL/sec/cm3       0.002042       khe      3      2        2
246     Hepatocellular mean transit time    383.292674         sec      48.765401        Th      3      2        2
247        Biliary tissue excretion rate      0.002609  mL/sec/cm3       0.000000       Kbh      3      2        2
248    Hepatocellular tissue uptake rate      0.082578  mL/sec/cm3       0.000000       Khe      3      2        2
249               Biliary excretion rate      0.002009  mL/sec/cm3       0.000000       kbh      3      2        2
250            Liver extraction fraction      0.463107                   0.000000         E      3      2        2
251             Hepatic plasma clearance      0.010197  mL/sec/cm3       0.000000    Ktrans      3      2        2
252                           Hematocrit      0.418000                   0.000000         H      3      1        3
253  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      3      1        3
254           Hepatocellular uptake rate      0.021736  mL/sec/cm3       0.000685       khe      3      1        3
255     Hepatocellular mean transit time    320.805579         sec      11.449094        Th      3      1        3
256        Biliary tissue excretion rate      0.003117  mL/sec/cm3       0.000000       Kbh      3      1        3
257    Hepatocellular tissue uptake rate      0.094503  mL/sec/cm3       0.000000       Khe      3      1        3
258               Biliary excretion rate      0.002400  mL/sec/cm3       0.000000       kbh      3      1        3
259            Liver extraction fraction      0.496764                   0.000000         E      3      1        3
260             Hepatic plasma clearance      0.010938  mL/sec/cm3       0.000000    Ktrans      3      1        3
261                           Hematocrit      0.418000                   0.000000         H      3      2        3
262  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      3      2        3
263           Hepatocellular uptake rate      0.017769  mL/sec/cm3       0.001324       khe      3      2        3
264     Hepatocellular mean transit time    276.567242         sec      23.043210        Th      3      2        3
265        Biliary tissue excretion rate      0.003616  mL/sec/cm3       0.000000       Kbh      3      2        3
266    Hepatocellular tissue uptake rate      0.077258  mL/sec/cm3       0.000000       Khe      3      2        3
267               Biliary excretion rate      0.002784  mL/sec/cm3       0.000000       kbh      3      2        3
268            Liver extraction fraction      0.446596                   0.000000         E      3      2        3
269             Hepatic plasma clearance      0.009834  mL/sec/cm3       0.000000    Ktrans      3      2        3
270                           Hematocrit      0.418000                   0.000000         H      3      1        4
271  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      3      1        4
272           Hepatocellular uptake rate      0.034191  mL/sec/cm3       0.002869       khe      3      1        4
273     Hepatocellular mean transit time    281.281632         sec      25.575679        Th      3      1        4
274        Biliary tissue excretion rate      0.003555  mL/sec/cm3       0.000000       Kbh      3      1        4
275    Hepatocellular tissue uptake rate      0.148656  mL/sec/cm3       0.000000       Khe      3      1        4
276               Biliary excretion rate      0.002737  mL/sec/cm3       0.000000       kbh      3      1        4
277            Liver extraction fraction      0.608271                   0.000000         E      3      1        4
278             Hepatic plasma clearance      0.013394  mL/sec/cm3       0.000000    Ktrans      3      1        4
279                           Hematocrit      0.418000                   0.000000         H      3      2        4
280  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      3      2        4
281           Hepatocellular uptake rate      0.000882  mL/sec/cm3       0.000113       khe      3      2        4
282     Hepatocellular mean transit time  65625.454312         sec  242620.440873        Th      3      2        4
283        Biliary tissue excretion rate      0.000015  mL/sec/cm3       0.000000       Kbh      3      2        4
284    Hepatocellular tissue uptake rate      0.003837  mL/sec/cm3       0.000000       Khe      3      2        4
285               Biliary excretion rate      0.000012  mL/sec/cm3       0.000000       kbh      3      2        4
286            Liver extraction fraction      0.038533                   0.000000         E      3      2        4
287             Hepatic plasma clearance      0.000848  mL/sec/cm3       0.000000    Ktrans      3      2        4
288                           Hematocrit      0.418000                   0.000000         H      3      1        5
289  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      3      1        5
290           Hepatocellular uptake rate      0.019442  mL/sec/cm3       0.001310       khe      3      1        5
291     Hepatocellular mean transit time    273.275488         sec      20.847519        Th      3      1        5
292        Biliary tissue excretion rate      0.003659  mL/sec/cm3       0.000000       Kbh      3      1        5
293    Hepatocellular tissue uptake rate      0.084532  mL/sec/cm3       0.000000       Khe      3      1        5
294               Biliary excretion rate      0.002818  mL/sec/cm3       0.000000       kbh      3      1        5
295            Liver extraction fraction      0.468929                   0.000000         E      3      1        5
296             Hepatic plasma clearance      0.010325  mL/sec/cm3       0.000000    Ktrans      3      1        5
297                           Hematocrit      0.418000                   0.000000         H      3      2        5
298  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      3      2        5
299           Hepatocellular uptake rate      0.002662  mL/sec/cm3       0.000265       khe      3      2        5
300     Hepatocellular mean transit time   2096.750917         sec     748.034858        Th      3      2        5
301        Biliary tissue excretion rate      0.000477  mL/sec/cm3       0.000000       Kbh      3      2        5
302    Hepatocellular tissue uptake rate      0.011575  mL/sec/cm3       0.000000       Khe      3      2        5
303               Biliary excretion rate      0.000367  mL/sec/cm3       0.000000       kbh      3      2        5
304            Liver extraction fraction      0.107865                   0.000000         E      3      2        5
305             Hepatic plasma clearance      0.002375  mL/sec/cm3       0.000000    Ktrans      3      2        5
306                           Hematocrit      0.418000                   0.000000         H      3      1        6
307  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      3      1        6
308           Hepatocellular uptake rate      0.018851  mL/sec/cm3       0.001438       khe      3      1        6
309     Hepatocellular mean transit time    361.106760         sec      33.865350        Th      3      1        6
310        Biliary tissue excretion rate      0.002769  mL/sec/cm3       0.000000       Kbh      3      1        6
311    Hepatocellular tissue uptake rate      0.081959  mL/sec/cm3       0.000000       Khe      3      1        6
312               Biliary excretion rate      0.002132  mL/sec/cm3       0.000000       kbh      3      1        6
313            Liver extraction fraction      0.461238                   0.000000         E      3      1        6
314             Hepatic plasma clearance      0.010156  mL/sec/cm3       0.000000    Ktrans      3      1        6
315                           Hematocrit      0.418000                   0.000000         H      3      2        6
316  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      3      2        6
317           Hepatocellular uptake rate      0.002589  mL/sec/cm3       0.000266       khe      3      2        6
318     Hepatocellular mean transit time   1829.494917         sec     578.840780        Th      3      2        6
319        Biliary tissue excretion rate      0.000547  mL/sec/cm3       0.000000       Kbh      3      2        6
320    Hepatocellular tissue uptake rate      0.011257  mL/sec/cm3       0.000000       Khe      3      2        6
321               Biliary excretion rate      0.000421  mL/sec/cm3       0.000000       kbh      3      2        6
322            Liver extraction fraction      0.105215                   0.000000         E      3      2        6
323             Hepatic plasma clearance      0.002317  mL/sec/cm3       0.000000    Ktrans      3      2        6
324                           Hematocrit      0.418000                   0.000000         H      4      1        1
325  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      4      1        1
326           Hepatocellular uptake rate      0.020679  mL/sec/cm3       0.001289       khe      4      1        1
327     Hepatocellular mean transit time    301.166410         sec      20.836217        Th      4      1        1
328        Biliary tissue excretion rate      0.003320  mL/sec/cm3       0.000000       Kbh      4      1        1
329    Hepatocellular tissue uptake rate      0.089909  mL/sec/cm3       0.000000       Khe      4      1        1
330               Biliary excretion rate      0.002557  mL/sec/cm3       0.000000       kbh      4      1        1
331            Liver extraction fraction      0.484309                   0.000000         E      4      1        1
332             Hepatic plasma clearance      0.010664  mL/sec/cm3       0.000000    Ktrans      4      1        1
333                           Hematocrit      0.418000                   0.000000         H      4      2        1
334  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      4      2        1
335           Hepatocellular uptake rate      0.025041  mL/sec/cm3       0.001390       khe      4      2        1
336     Hepatocellular mean transit time    395.811923         sec      25.537122        Th      4      2        1
337        Biliary tissue excretion rate      0.002526  mL/sec/cm3       0.000000       Kbh      4      2        1
338    Hepatocellular tissue uptake rate      0.108874  mL/sec/cm3       0.000000       Khe      4      2        1
339               Biliary excretion rate      0.001945  mL/sec/cm3       0.000000       kbh      4      2        1
340            Liver extraction fraction      0.532108                   0.000000         E      4      2        1
341             Hepatic plasma clearance      0.011716  mL/sec/cm3       0.000000    Ktrans      4      2        1
342                           Hematocrit      0.418000                   0.000000         H      4      1        2
343  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      4      1        2
344           Hepatocellular uptake rate      0.018306  mL/sec/cm3       0.001540       khe      4      1        2
345     Hepatocellular mean transit time    274.999596         sec      25.530787        Th      4      1        2
346        Biliary tissue excretion rate      0.003636  mL/sec/cm3       0.000000       Kbh      4      1        2
347    Hepatocellular tissue uptake rate      0.079591  mL/sec/cm3       0.000000       Khe      4      1        2
348               Biliary excretion rate      0.002800  mL/sec/cm3       0.000000       kbh      4      1        2
349            Liver extraction fraction      0.453961                   0.000000         E      4      1        2
350             Hepatic plasma clearance      0.009996  mL/sec/cm3       0.000000    Ktrans      4      1        2
351                           Hematocrit      0.418000                   0.000000         H      4      2        2
352  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      4      2        2
353           Hepatocellular uptake rate      0.025679  mL/sec/cm3       0.001795       khe      4      2        2
354     Hepatocellular mean transit time    215.892033         sec      16.038397        Th      4      2        2
355        Biliary tissue excretion rate      0.004632  mL/sec/cm3       0.000000       Kbh      4      2        2
356    Hepatocellular tissue uptake rate      0.111647  mL/sec/cm3       0.000000       Khe      4      2        2
357               Biliary excretion rate      0.003567  mL/sec/cm3       0.000000       kbh      4      2        2
358            Liver extraction fraction      0.538365                   0.000000         E      4      2        2
359             Hepatic plasma clearance      0.011854  mL/sec/cm3       0.000000    Ktrans      4      2        2
360                           Hematocrit      0.418000                   0.000000         H      4      1        3
361  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      4      1        3
362           Hepatocellular uptake rate      0.030104  mL/sec/cm3       0.002602       khe      4      1        3
363     Hepatocellular mean transit time    166.642085         sec      15.038239        Th      4      1        3
364        Biliary tissue excretion rate      0.006001  mL/sec/cm3       0.000000       Kbh      4      1        3
365    Hepatocellular tissue uptake rate      0.130887  mL/sec/cm3       0.000000       Khe      4      1        3
366               Biliary excretion rate      0.004621  mL/sec/cm3       0.000000       kbh      4      1        3
367            Liver extraction fraction      0.577556                   0.000000         E      4      1        3
368             Hepatic plasma clearance      0.012717  mL/sec/cm3       0.000000    Ktrans      4      1        3
369                           Hematocrit      0.418000                   0.000000         H      4      2        3
370  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      4      2        3
371           Hepatocellular uptake rate      0.031763  mL/sec/cm3       0.002446       khe      4      2        3
372     Hepatocellular mean transit time    201.235422         sec      16.207187        Th      4      2        3
373        Biliary tissue excretion rate      0.004969  mL/sec/cm3       0.000000       Kbh      4      2        3
374    Hepatocellular tissue uptake rate      0.138099  mL/sec/cm3       0.000000       Khe      4      2        3
375               Biliary excretion rate      0.003826  mL/sec/cm3       0.000000       kbh      4      2        3
376            Liver extraction fraction      0.590586                   0.000000         E      4      2        3
377             Hepatic plasma clearance      0.013004  mL/sec/cm3       0.000000    Ktrans      4      2        3
378                           Hematocrit      0.418000                   0.000000         H      4      1        4
379  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      4      1        4
380           Hepatocellular uptake rate      0.024781  mL/sec/cm3       0.001929       khe      4      1        4
381     Hepatocellular mean transit time    215.455531         sec      17.860634        Th      4      1        4
382        Biliary tissue excretion rate      0.004641  mL/sec/cm3       0.000000       Kbh      4      1        4
383    Hepatocellular tissue uptake rate      0.107745  mL/sec/cm3       0.000000       Khe      4      1        4
384               Biliary excretion rate      0.003574  mL/sec/cm3       0.000000       kbh      4      1        4
385            Liver extraction fraction      0.529513                   0.000000         E      4      1        4
386             Hepatic plasma clearance      0.011659  mL/sec/cm3       0.000000    Ktrans      4      1        4
387                           Hematocrit      0.418000                   0.000000         H      4      2        4
388  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      4      2        4
389           Hepatocellular uptake rate      0.031542  mL/sec/cm3       0.001530       khe      4      2        4
390     Hepatocellular mean transit time    221.315703         sec      11.280667        Th      4      2        4
391        Biliary tissue excretion rate      0.004518  mL/sec/cm3       0.000000       Kbh      4      2        4
392    Hepatocellular tissue uptake rate      0.137139  mL/sec/cm3       0.000000       Khe      4      2        4
393               Biliary excretion rate      0.003479  mL/sec/cm3       0.000000       kbh      4      2        4
394            Liver extraction fraction      0.588899                   0.000000         E      4      2        4
395             Hepatic plasma clearance      0.012967  mL/sec/cm3       0.000000    Ktrans      4      2        4
396                           Hematocrit      0.418000                   0.000000         H      4      1        5
397  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      4      1        5
398           Hepatocellular uptake rate      0.023245  mL/sec/cm3       0.001360       khe      4      1        5
399     Hepatocellular mean transit time    318.561744         sec      20.737505        Th      4      1        5
400        Biliary tissue excretion rate      0.003139  mL/sec/cm3       0.000000       Kbh      4      1        5
401    Hepatocellular tissue uptake rate      0.101067  mL/sec/cm3       0.000000       Khe      4      1        5
402               Biliary excretion rate      0.002417  mL/sec/cm3       0.000000       kbh      4      1        5
403            Liver extraction fraction      0.513548                   0.000000         E      4      1        5
404             Hepatic plasma clearance      0.011308  mL/sec/cm3       0.000000    Ktrans      4      1        5
405                           Hematocrit      0.418000                   0.000000         H      4      2        5
406  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      4      2        5
407           Hepatocellular uptake rate      0.006419  mL/sec/cm3       0.000641       khe      4      2        5
408     Hepatocellular mean transit time    834.723557         sec     142.471249        Th      4      2        5
409        Biliary tissue excretion rate      0.001198  mL/sec/cm3       0.000000       Kbh      4      2        5
410    Hepatocellular tissue uptake rate      0.027908  mL/sec/cm3       0.000000       Khe      4      2        5
411               Biliary excretion rate      0.000922  mL/sec/cm3       0.000000       kbh      4      2        5
412            Liver extraction fraction      0.225716                   0.000000         E      4      2        5
413             Hepatic plasma clearance      0.004970  mL/sec/cm3       0.000000    Ktrans      4      2        5
414                           Hematocrit      0.418000                   0.000000         H      4      1        6
415  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      4      1        6
416           Hepatocellular uptake rate      0.026134  mL/sec/cm3       0.001719       khe      4      1        6
417     Hepatocellular mean transit time    201.798523         sec      14.051229        Th      4      1        6
418        Biliary tissue excretion rate      0.004955  mL/sec/cm3       0.000000       Kbh      4      1        6
419    Hepatocellular tissue uptake rate      0.113624  mL/sec/cm3       0.000000       Khe      4      1        6
420               Biliary excretion rate      0.003816  mL/sec/cm3       0.000000       kbh      4      1        6
421            Liver extraction fraction      0.542725                   0.000000         E      4      1        6
422             Hepatic plasma clearance      0.011950  mL/sec/cm3       0.000000    Ktrans      4      1        6
423                           Hematocrit      0.418000                   0.000000         H      4      2        6
424  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      4      2        6
425           Hepatocellular uptake rate      0.004853  mL/sec/cm3       0.000434       khe      4      2        6
426     Hepatocellular mean transit time    603.017578         sec      77.246780        Th      4      2        6
427        Biliary tissue excretion rate      0.001658  mL/sec/cm3       0.000000       Kbh      4      2        6
428    Hepatocellular tissue uptake rate      0.021100  mL/sec/cm3       0.000000       Khe      4      2        6
429               Biliary excretion rate      0.001277  mL/sec/cm3       0.000000       kbh      4      2        6
430            Liver extraction fraction      0.180600                   0.000000         E      4      2        6
431             Hepatic plasma clearance      0.003977  mL/sec/cm3       0.000000    Ktrans      4      2        6
432                           Hematocrit      0.418000                   0.000000         H      4      1        7
433  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      4      1        7
434           Hepatocellular uptake rate      0.028803  mL/sec/cm3       0.001777       khe      4      1        7
435     Hepatocellular mean transit time    199.383467         sec      12.937531        Th      4      1        7
436        Biliary tissue excretion rate      0.005015  mL/sec/cm3       0.000000       Kbh      4      1        7
437    Hepatocellular tissue uptake rate      0.125230  mL/sec/cm3       0.000000       Khe      4      1        7
438               Biliary excretion rate      0.003862  mL/sec/cm3       0.000000       kbh      4      1        7
439            Liver extraction fraction      0.566742                   0.000000         E      4      1        7
440             Hepatic plasma clearance      0.012479  mL/sec/cm3       0.000000    Ktrans      4      1        7
441                           Hematocrit      0.418000                   0.000000         H      4      2        7
442  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      4      2        7
443           Hepatocellular uptake rate      0.006605  mL/sec/cm3       0.000604       khe      4      2        7
444     Hepatocellular mean transit time    598.552559         sec      77.794632        Th      4      2        7
445        Biliary tissue excretion rate      0.001671  mL/sec/cm3       0.000000       Kbh      4      2        7
446    Hepatocellular tissue uptake rate      0.028719  mL/sec/cm3       0.000000       Khe      4      2        7
447               Biliary excretion rate      0.001286  mL/sec/cm3       0.000000       kbh      4      2        7
448            Liver extraction fraction      0.230758                   0.000000         E      4      2        7
449             Hepatic plasma clearance      0.005081  mL/sec/cm3       0.000000    Ktrans      4      2        7
450                           Hematocrit      0.418000                   0.000000         H      4      1        8
451  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      4      1        8
452           Hepatocellular uptake rate      0.021571  mL/sec/cm3       0.001307       khe      4      1        8
453     Hepatocellular mean transit time    213.542713         sec      13.877482        Th      4      1        8
454        Biliary tissue excretion rate      0.004683  mL/sec/cm3       0.000000       Kbh      4      1        8
455    Hepatocellular tissue uptake rate      0.093788  mL/sec/cm3       0.000000       Khe      4      1        8
456               Biliary excretion rate      0.003606  mL/sec/cm3       0.000000       kbh      4      1        8
457            Liver extraction fraction      0.494865                   0.000000         E      4      1        8
458             Hepatic plasma clearance      0.010896  mL/sec/cm3       0.000000    Ktrans      4      1        8
459                           Hematocrit      0.418000                   0.000000         H      4      2        8
460  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      4      2        8
461           Hepatocellular uptake rate      0.006650  mL/sec/cm3       0.000648       khe      4      2        8
462     Hepatocellular mean transit time    661.958695         sec      96.443350        Th      4      2        8
463        Biliary tissue excretion rate      0.001511  mL/sec/cm3       0.000000       Kbh      4      2        8
464    Hepatocellular tissue uptake rate      0.028915  mL/sec/cm3       0.000000       Khe      4      2        8
465               Biliary excretion rate      0.001163  mL/sec/cm3       0.000000       kbh      4      2        8
466            Liver extraction fraction      0.231968                   0.000000         E      4      2        8
467             Hepatic plasma clearance      0.005108  mL/sec/cm3       0.000000    Ktrans      4      2        8
468                           Hematocrit      0.418000                   0.000000         H      5      1        1
469  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      5      1        1
470           Hepatocellular uptake rate      0.027413  mL/sec/cm3       0.001682       khe      5      1        1
471     Hepatocellular mean transit time    246.731319         sec      16.406922        Th      5      1        1
472        Biliary tissue excretion rate      0.004053  mL/sec/cm3       0.000000       Kbh      5      1        1
473    Hepatocellular tissue uptake rate      0.119189  mL/sec/cm3       0.000000       Khe      5      1        1
474               Biliary excretion rate      0.003121  mL/sec/cm3       0.000000       kbh      5      1        1
475            Liver extraction fraction      0.554563                   0.000000         E      5      1        1
476             Hepatic plasma clearance      0.012211  mL/sec/cm3       0.000000    Ktrans      5      1        1
477                           Hematocrit      0.418000                   0.000000         H      5      1        2
478  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      5      1        2
479           Hepatocellular uptake rate      0.029190  mL/sec/cm3       0.000690       khe      5      1        2
480     Hepatocellular mean transit time    192.246433         sec       4.836834        Th      5      1        2
481        Biliary tissue excretion rate      0.005202  mL/sec/cm3       0.000000       Kbh      5      1        2
482    Hepatocellular tissue uptake rate      0.126911  mL/sec/cm3       0.000000       Khe      5      1        2
483               Biliary excretion rate      0.004005  mL/sec/cm3       0.000000       kbh      5      1        2
484            Liver extraction fraction      0.570014                   0.000000         E      5      1        2
485             Hepatic plasma clearance      0.012551  mL/sec/cm3       0.000000    Ktrans      5      1        2
486                           Hematocrit      0.418000                   0.000000         H      5      1        3
487  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      5      1        3
488           Hepatocellular uptake rate      0.023123  mL/sec/cm3       0.002281       khe      5      1        3
489     Hepatocellular mean transit time    154.454455         sec      16.290498        Th      5      1        3
490        Biliary tissue excretion rate      0.006474  mL/sec/cm3       0.000000       Kbh      5      1        3
491    Hepatocellular tissue uptake rate      0.100536  mL/sec/cm3       0.000000       Khe      5      1        3
492               Biliary excretion rate      0.004985  mL/sec/cm3       0.000000       kbh      5      1        3
493            Liver extraction fraction      0.512232                   0.000000         E      5      1        3
494             Hepatic plasma clearance      0.011279  mL/sec/cm3       0.000000    Ktrans      5      1        3
495                           Hematocrit      0.418000                   0.000000         H      5      1        4
496  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      5      1        4
497           Hepatocellular uptake rate      0.017874  mL/sec/cm3       0.000788       khe      5      1        4
498     Hepatocellular mean transit time    185.344175         sec       8.871480        Th      5      1        4
499        Biliary tissue excretion rate      0.005395  mL/sec/cm3       0.000000       Kbh      5      1        4
500    Hepatocellular tissue uptake rate      0.077715  mL/sec/cm3       0.000000       Khe      5      1        4
501               Biliary excretion rate      0.004154  mL/sec/cm3       0.000000       kbh      5      1        4
502            Liver extraction fraction      0.448054                   0.000000         E      5      1        4
503             Hepatic plasma clearance      0.009866  mL/sec/cm3       0.000000    Ktrans      5      1        4
504                           Hematocrit      0.418000                   0.000000         H      5      1        5
505  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      5      1        5
506           Hepatocellular uptake rate      0.015750  mL/sec/cm3       0.001193       khe      5      1        5
507     Hepatocellular mean transit time    194.627433         sec      16.106847        Th      5      1        5
508        Biliary tissue excretion rate      0.005138  mL/sec/cm3       0.000000       Kbh      5      1        5
509    Hepatocellular tissue uptake rate      0.068477  mL/sec/cm3       0.000000       Khe      5      1        5
510               Biliary excretion rate      0.003956  mL/sec/cm3       0.000000       kbh      5      1        5
511            Liver extraction fraction      0.417006                   0.000000         E      5      1        5
512             Hepatic plasma clearance      0.009182  mL/sec/cm3       0.000000    Ktrans      5      1        5
513                           Hematocrit      0.418000                   0.000000         H      5      1        6
514  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      5      1        6
515           Hepatocellular uptake rate      0.017684  mL/sec/cm3       0.001342       khe      5      1        6
516     Hepatocellular mean transit time    171.878130         sec      14.125022        Th      5      1        6
517        Biliary tissue excretion rate      0.005818  mL/sec/cm3       0.000000       Kbh      5      1        6
518    Hepatocellular tissue uptake rate      0.076888  mL/sec/cm3       0.000000       Khe      5      1        6
519               Biliary excretion rate      0.004480  mL/sec/cm3       0.000000       kbh      5      1        6
520            Liver extraction fraction      0.445411                   0.000000         E      5      1        6
521             Hepatic plasma clearance      0.009808  mL/sec/cm3       0.000000    Ktrans      5      1        6
522                           Hematocrit      0.418000                   0.000000         H      6      1        1
523  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      6      1        1
524           Hepatocellular uptake rate      0.023093  mL/sec/cm3       0.001939       khe      6      1        1
525     Hepatocellular mean transit time    180.090839         sec      16.235359        Th      6      1        1
526        Biliary tissue excretion rate      0.005553  mL/sec/cm3       0.000000       Kbh      6      1        1
527    Hepatocellular tissue uptake rate      0.100406  mL/sec/cm3       0.000000       Khe      6      1        1
528               Biliary excretion rate      0.004276  mL/sec/cm3       0.000000       kbh      6      1        1
529            Liver extraction fraction      0.511909                   0.000000         E      6      1        1
530             Hepatic plasma clearance      0.011272  mL/sec/cm3       0.000000    Ktrans      6      1        1
531                           Hematocrit      0.418000                   0.000000         H      6      1        2
532  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      6      1        2
533           Hepatocellular uptake rate      0.029692  mL/sec/cm3       0.001751       khe      6      1        2
534     Hepatocellular mean transit time    210.523275         sec      13.254362        Th      6      1        2
535        Biliary tissue excretion rate      0.004750  mL/sec/cm3       0.000000       Kbh      6      1        2
536    Hepatocellular tissue uptake rate      0.129094  mL/sec/cm3       0.000000       Khe      6      1        2
537               Biliary excretion rate      0.003658  mL/sec/cm3       0.000000       kbh      6      1        2
538            Liver extraction fraction      0.574188                   0.000000         E      6      1        2
539             Hepatic plasma clearance      0.012643  mL/sec/cm3       0.000000    Ktrans      6      1        2
540                           Hematocrit      0.418000                   0.000000         H      6      1        3
541  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      6      1        3
542           Hepatocellular uptake rate      0.025392  mL/sec/cm3       0.002823       khe      6      1        3
543     Hepatocellular mean transit time    162.886138         sec      19.312284        Th      6      1        3
544        Biliary tissue excretion rate      0.006139  mL/sec/cm3       0.000000       Kbh      6      1        3
545    Hepatocellular tissue uptake rate      0.110399  mL/sec/cm3       0.000000       Khe      6      1        3
546               Biliary excretion rate      0.004727  mL/sec/cm3       0.000000       kbh      6      1        3
547            Liver extraction fraction      0.535569                   0.000000         E      6      1        3
548             Hepatic plasma clearance      0.011793  mL/sec/cm3       0.000000    Ktrans      6      1        3
549                           Hematocrit      0.418000                   0.000000         H      6      1        4
550  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      6      1        4
551           Hepatocellular uptake rate      0.020645  mL/sec/cm3       0.001435       khe      6      1        4
552     Hepatocellular mean transit time    173.413608         sec      12.984491        Th      6      1        4
553        Biliary tissue excretion rate      0.005767  mL/sec/cm3       0.000000       Kbh      6      1        4
554    Hepatocellular tissue uptake rate      0.089759  mL/sec/cm3       0.000000       Khe      6      1        4
555               Biliary excretion rate      0.004440  mL/sec/cm3       0.000000       kbh      6      1        4
556            Liver extraction fraction      0.483893                   0.000000         E      6      1        4
557             Hepatic plasma clearance      0.010655  mL/sec/cm3       0.000000    Ktrans      6      1        4
558                           Hematocrit      0.418000                   0.000000         H      6      1        5
559  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      6      1        5
560           Hepatocellular uptake rate      0.019787  mL/sec/cm3       0.001499       khe      6      1        5
561     Hepatocellular mean transit time    170.731411         sec      13.947304        Th      6      1        5
562        Biliary tissue excretion rate      0.005857  mL/sec/cm3       0.000000       Kbh      6      1        5
563    Hepatocellular tissue uptake rate      0.086031  mL/sec/cm3       0.000000       Khe      6      1        5
564               Biliary excretion rate      0.004510  mL/sec/cm3       0.000000       kbh      6      1        5
565            Liver extraction fraction      0.473306                   0.000000         E      6      1        5
566             Hepatic plasma clearance      0.010422  mL/sec/cm3       0.000000    Ktrans      6      1        5
567                           Hematocrit      0.418000                   0.000000         H      6      1        6
568  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      6      1        6
569           Hepatocellular uptake rate      0.020815  mL/sec/cm3       0.001524       khe      6      1        6
570     Hepatocellular mean transit time    231.684464         sec      18.526224        Th      6      1        6
571        Biliary tissue excretion rate      0.004316  mL/sec/cm3       0.000000       Kbh      6      1        6
572    Hepatocellular tissue uptake rate      0.090499  mL/sec/cm3       0.000000       Khe      6      1        6
573               Biliary excretion rate      0.003323  mL/sec/cm3       0.000000       kbh      6      1        6
574            Liver extraction fraction      0.485944                   0.000000         E      6      1        6
575             Hepatic plasma clearance      0.010700  mL/sec/cm3       0.000000    Ktrans      6      1        6
576                           Hematocrit      0.418000                   0.000000         H      7      1        1
577  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      7      1        1
578           Hepatocellular uptake rate      0.012259  mL/sec/cm3       0.000615       khe      7      1        1
579     Hepatocellular mean transit time    287.051267         sec      16.264662        Th      7      1        1
580        Biliary tissue excretion rate      0.003484  mL/sec/cm3       0.000000       Kbh      7      1        1
581    Hepatocellular tissue uptake rate      0.053298  mL/sec/cm3       0.000000       Khe      7      1        1
582               Biliary excretion rate      0.002682  mL/sec/cm3       0.000000       kbh      7      1        1
583            Liver extraction fraction      0.357627                   0.000000         E      7      1        1
584             Hepatic plasma clearance      0.007875  mL/sec/cm3       0.000000    Ktrans      7      1        1
585                           Hematocrit      0.418000                   0.000000         H      7      1        2
586  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      7      1        2
587           Hepatocellular uptake rate      0.022070  mL/sec/cm3       0.002018       khe      7      1        2
588     Hepatocellular mean transit time    293.503375         sec      29.624750        Th      7      1        2
589        Biliary tissue excretion rate      0.003407  mL/sec/cm3       0.000000       Kbh      7      1        2
590    Hepatocellular tissue uptake rate      0.095958  mL/sec/cm3       0.000000       Khe      7      1        2
591               Biliary excretion rate      0.002623  mL/sec/cm3       0.000000       kbh      7      1        2
592            Liver extraction fraction      0.500582                   0.000000         E      7      1        2
593             Hepatic plasma clearance      0.011022  mL/sec/cm3       0.000000    Ktrans      7      1        2
594                           Hematocrit      0.418000                   0.000000         H      7      1        3
595  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      7      1        3
596           Hepatocellular uptake rate      0.020564  mL/sec/cm3       0.002026       khe      7      1        3
597     Hepatocellular mean transit time    282.354635         sec      30.659355        Th      7      1        3
598        Biliary tissue excretion rate      0.003542  mL/sec/cm3       0.000000       Kbh      7      1        3
599    Hepatocellular tissue uptake rate      0.089409  mL/sec/cm3       0.000000       Khe      7      1        3
600               Biliary excretion rate      0.002727  mL/sec/cm3       0.000000       kbh      7      1        3
601            Liver extraction fraction      0.482917                   0.000000         E      7      1        3
602             Hepatic plasma clearance      0.010633  mL/sec/cm3       0.000000    Ktrans      7      1        3
603                           Hematocrit      0.418000                   0.000000         H      7      1        4
604  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      7      1        4
605           Hepatocellular uptake rate      0.013127  mL/sec/cm3       0.000953       khe      7      1        4
606     Hepatocellular mean transit time    298.416370         sec      24.534799        Th      7      1        4
607        Biliary tissue excretion rate      0.003351  mL/sec/cm3       0.000000       Kbh      7      1        4
608    Hepatocellular tissue uptake rate      0.057074  mL/sec/cm3       0.000000       Khe      7      1        4
609               Biliary excretion rate      0.002580  mL/sec/cm3       0.000000       kbh      7      1        4
610            Liver extraction fraction      0.373498                   0.000000         E      7      1        4
611             Hepatic plasma clearance      0.008224  mL/sec/cm3       0.000000    Ktrans      7      1        4
612                           Hematocrit      0.418000                   0.000000         H      7      1        5
613  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      7      1        5
614           Hepatocellular uptake rate      0.020795  mL/sec/cm3       0.002349       khe      7      1        5
615     Hepatocellular mean transit time    217.745080         sec      26.492837        Th      7      1        5
616        Biliary tissue excretion rate      0.004593  mL/sec/cm3       0.000000       Kbh      7      1        5
617    Hepatocellular tissue uptake rate      0.090411  mL/sec/cm3       0.000000       Khe      7      1        5
618               Biliary excretion rate      0.003536  mL/sec/cm3       0.000000       kbh      7      1        5
619            Liver extraction fraction      0.485700                   0.000000         E      7      1        5
620             Hepatic plasma clearance      0.010695  mL/sec/cm3       0.000000    Ktrans      7      1        5
621                           Hematocrit      0.418000                   0.000000         H      7      1        6
622  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      7      1        6
623           Hepatocellular uptake rate      0.022667  mL/sec/cm3       0.002503       khe      7      1        6
624     Hepatocellular mean transit time    257.860271         sec      30.914503        Th      7      1        6
625        Biliary tissue excretion rate      0.003878  mL/sec/cm3       0.000000       Kbh      7      1        6
626    Hepatocellular tissue uptake rate      0.098553  mL/sec/cm3       0.000000       Khe      7      1        6
627               Biliary excretion rate      0.002986  mL/sec/cm3       0.000000       kbh      7      1        6
628            Liver extraction fraction      0.507254                   0.000000         E      7      1        6
629             Hepatic plasma clearance      0.011169  mL/sec/cm3       0.000000    Ktrans      7      1        6
630                           Hematocrit      0.418000                   0.000000         H      8      1        1
631  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      8      1        1
632           Hepatocellular uptake rate      0.029344  mL/sec/cm3       0.001970       khe      8      1        1
633     Hepatocellular mean transit time    408.262045         sec      31.838820        Th      8      1        1
634        Biliary tissue excretion rate      0.002449  mL/sec/cm3       0.000000       Kbh      8      1        1
635    Hepatocellular tissue uptake rate      0.127585  mL/sec/cm3       0.000000       Khe      8      1        1
636               Biliary excretion rate      0.001886  mL/sec/cm3       0.000000       kbh      8      1        1
637            Liver extraction fraction      0.571310                   0.000000         E      8      1        1
638             Hepatic plasma clearance      0.012580  mL/sec/cm3       0.000000    Ktrans      8      1        1
639                           Hematocrit      0.418000                   0.000000         H      8      1        2
640  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      8      1        2
641           Hepatocellular uptake rate      0.027849  mL/sec/cm3       0.002515       khe      8      1        2
642     Hepatocellular mean transit time    269.048876         sec      26.131604        Th      8      1        2
643        Biliary tissue excretion rate      0.003717  mL/sec/cm3       0.000000       Kbh      8      1        2
644    Hepatocellular tissue uptake rate      0.121082  mL/sec/cm3       0.000000       Khe      8      1        2
645               Biliary excretion rate      0.002862  mL/sec/cm3       0.000000       kbh      8      1        2
646            Liver extraction fraction      0.558453                   0.000000         E      8      1        2
647             Hepatic plasma clearance      0.012297  mL/sec/cm3       0.000000    Ktrans      8      1        2
648                           Hematocrit      0.418000                   0.000000         H      8      1        3
649  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      8      1        3
650           Hepatocellular uptake rate      0.019728  mL/sec/cm3       0.001371       khe      8      1        3
651     Hepatocellular mean transit time    383.872404         sec      31.160715        Th      8      1        3
652        Biliary tissue excretion rate      0.002605  mL/sec/cm3       0.000000       Kbh      8      1        3
653    Hepatocellular tissue uptake rate      0.085774  mL/sec/cm3       0.000000       Khe      8      1        3
654               Biliary excretion rate      0.002006  mL/sec/cm3       0.000000       kbh      8      1        3
655            Liver extraction fraction      0.472562                   0.000000         E      8      1        3
656             Hepatic plasma clearance      0.010405  mL/sec/cm3       0.000000    Ktrans      8      1        3
657                           Hematocrit      0.418000                   0.000000         H      8      1        4
658  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      8      1        4
659           Hepatocellular uptake rate      0.018832  mL/sec/cm3       0.001177       khe      8      1        4
660     Hepatocellular mean transit time    435.387822         sec      33.054295        Th      8      1        4
661        Biliary tissue excretion rate      0.002297  mL/sec/cm3       0.000000       Kbh      8      1        4
662    Hepatocellular tissue uptake rate      0.081878  mL/sec/cm3       0.000000       Khe      8      1        4
663               Biliary excretion rate      0.001769  mL/sec/cm3       0.000000       kbh      8      1        4
664            Liver extraction fraction      0.460991                   0.000000         E      8      1        4
665             Hepatic plasma clearance      0.010151  mL/sec/cm3       0.000000    Ktrans      8      1        4
666                           Hematocrit      0.418000                   0.000000         H      8      1        5
667  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      8      1        5
668           Hepatocellular uptake rate      0.025961  mL/sec/cm3       0.002111       khe      8      1        5
669     Hepatocellular mean transit time    262.092578         sec      22.959490        Th      8      1        5
670        Biliary tissue excretion rate      0.003815  mL/sec/cm3       0.000000       Kbh      8      1        5
671    Hepatocellular tissue uptake rate      0.112874  mL/sec/cm3       0.000000       Khe      8      1        5
672               Biliary excretion rate      0.002938  mL/sec/cm3       0.000000       kbh      8      1        5
673            Liver extraction fraction      0.541079                   0.000000         E      8      1        5
674             Hepatic plasma clearance      0.011914  mL/sec/cm3       0.000000    Ktrans      8      1        5
675                           Hematocrit      0.418000                   0.000000         H      8      1        6
676  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      8      1        6
677           Hepatocellular uptake rate      0.025441  mL/sec/cm3       0.002053       khe      8      1        6
678     Hepatocellular mean transit time    295.237391         sec      26.068654        Th      8      1        6
679        Biliary tissue excretion rate      0.003387  mL/sec/cm3       0.000000       Kbh      8      1        6
680    Hepatocellular tissue uptake rate      0.110613  mL/sec/cm3       0.000000       Khe      8      1        6
681               Biliary excretion rate      0.002608  mL/sec/cm3       0.000000       kbh      8      1        6
682            Liver extraction fraction      0.536050                   0.000000         E      8      1        6
683             Hepatic plasma clearance      0.011803  mL/sec/cm3       0.000000    Ktrans      8      1        6
684                           Hematocrit      0.418000                   0.000000         H      9      1        1
685  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      9      1        1
686           Hepatocellular uptake rate      0.020030  mL/sec/cm3       0.000709       khe      9      1        1
687     Hepatocellular mean transit time    373.947283         sec      15.530816        Th      9      1        1
688        Biliary tissue excretion rate      0.002674  mL/sec/cm3       0.000000       Kbh      9      1        1
689    Hepatocellular tissue uptake rate      0.087087  mL/sec/cm3       0.000000       Khe      9      1        1
690               Biliary excretion rate      0.002059  mL/sec/cm3       0.000000       kbh      9      1        1
691            Liver extraction fraction      0.476350                   0.000000         E      9      1        1
692             Hepatic plasma clearance      0.010489  mL/sec/cm3       0.000000    Ktrans      9      1        1
693                           Hematocrit      0.418000                   0.000000         H      9      1        2
694  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      9      1        2
695           Hepatocellular uptake rate      0.017119  mL/sec/cm3       0.001287       khe      9      1        2
696     Hepatocellular mean transit time    231.522778         sec      19.151147        Th      9      1        2
697        Biliary tissue excretion rate      0.004319  mL/sec/cm3       0.000000       Kbh      9      1        2
698    Hepatocellular tissue uptake rate      0.074433  mL/sec/cm3       0.000000       Khe      9      1        2
699               Biliary excretion rate      0.003326  mL/sec/cm3       0.000000       kbh      9      1        2
700            Liver extraction fraction      0.437408                   0.000000         E      9      1        2
701             Hepatic plasma clearance      0.009631  mL/sec/cm3       0.000000    Ktrans      9      1        2
702                           Hematocrit      0.418000                   0.000000         H      9      1        3
703  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      9      1        3
704           Hepatocellular uptake rate      0.028307  mL/sec/cm3       0.002243       khe      9      1        3
705     Hepatocellular mean transit time    297.434220         sec      26.028315        Th      9      1        3
706        Biliary tissue excretion rate      0.003362  mL/sec/cm3       0.000000       Kbh      9      1        3
707    Hepatocellular tissue uptake rate      0.123073  mL/sec/cm3       0.000000       Khe      9      1        3
708               Biliary excretion rate      0.002589  mL/sec/cm3       0.000000       kbh      9      1        3
709            Liver extraction fraction      0.562470                   0.000000         E      9      1        3
710             Hepatic plasma clearance      0.012385  mL/sec/cm3       0.000000    Ktrans      9      1        3
711                           Hematocrit      0.418000                   0.000000         H      9      1        4
712  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve      9      1        4
713           Hepatocellular uptake rate      0.031829  mL/sec/cm3       0.002277       khe      9      1        4
714     Hepatocellular mean transit time    276.696420         sec      21.511310        Th      9      1        4
715        Biliary tissue excretion rate      0.003614  mL/sec/cm3       0.000000       Kbh      9      1        4
716    Hepatocellular tissue uptake rate      0.138388  mL/sec/cm3       0.000000       Khe      9      1        4
717               Biliary excretion rate      0.002783  mL/sec/cm3       0.000000       kbh      9      1        4
718            Liver extraction fraction      0.591092                   0.000000         E      9      1        4
719             Hepatic plasma clearance      0.013015  mL/sec/cm3       0.000000    Ktrans      9      1        4
720                           Hematocrit      0.418000                   0.000000         H     10      1        1
721  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     10      1        1
722           Hepatocellular uptake rate      0.032653  mL/sec/cm3       0.002459       khe     10      1        1
723     Hepatocellular mean transit time    204.095965         sec      16.306195        Th     10      1        1
724        Biliary tissue excretion rate      0.004900  mL/sec/cm3       0.000000       Kbh     10      1        1
725    Hepatocellular tissue uptake rate      0.141969  mL/sec/cm3       0.000000       Khe     10      1        1
726               Biliary excretion rate      0.003773  mL/sec/cm3       0.000000       kbh     10      1        1
727            Liver extraction fraction      0.597252                   0.000000         E     10      1        1
728             Hepatic plasma clearance      0.013151  mL/sec/cm3       0.000000    Ktrans     10      1        1
729                           Hematocrit      0.418000                   0.000000         H     10      1        2
730  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     10      1        2
731           Hepatocellular uptake rate      0.025971  mL/sec/cm3       0.001777       khe     10      1        2
732     Hepatocellular mean transit time    260.964310         sec      19.500936        Th     10      1        2
733        Biliary tissue excretion rate      0.003832  mL/sec/cm3       0.000000       Kbh     10      1        2
734    Hepatocellular tissue uptake rate      0.112917  mL/sec/cm3       0.000000       Khe     10      1        2
735               Biliary excretion rate      0.002951  mL/sec/cm3       0.000000       kbh     10      1        2
736            Liver extraction fraction      0.541175                   0.000000         E     10      1        2
737             Hepatic plasma clearance      0.011916  mL/sec/cm3       0.000000    Ktrans     10      1        2
738                           Hematocrit      0.418000                   0.000000         H     10      1        3
739  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     10      1        3
740           Hepatocellular uptake rate      0.036772  mL/sec/cm3       0.002993       khe     10      1        3
741     Hepatocellular mean transit time    192.094645         sec      16.432004        Th     10      1        3
742        Biliary tissue excretion rate      0.005206  mL/sec/cm3       0.000000       Kbh     10      1        3
743    Hepatocellular tissue uptake rate      0.159880  mL/sec/cm3       0.000000       Khe     10      1        3
744               Biliary excretion rate      0.004008  mL/sec/cm3       0.000000       kbh     10      1        3
745            Liver extraction fraction      0.625472                   0.000000         E     10      1        3
746             Hepatic plasma clearance      0.013772  mL/sec/cm3       0.000000    Ktrans     10      1        3
747                           Hematocrit      0.418000                   0.000000         H     10      1        4
748  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     10      1        4
749           Hepatocellular uptake rate      0.034563  mL/sec/cm3       0.003415       khe     10      1        4
750     Hepatocellular mean transit time    221.220680         sec      23.197005        Th     10      1        4
751        Biliary tissue excretion rate      0.004520  mL/sec/cm3       0.000000       Kbh     10      1        4
752    Hepatocellular tissue uptake rate      0.150275  mL/sec/cm3       0.000000       Khe     10      1        4
753               Biliary excretion rate      0.003481  mL/sec/cm3       0.000000       kbh     10      1        4
754            Liver extraction fraction      0.610850                   0.000000         E     10      1        4
755             Hepatic plasma clearance      0.013450  mL/sec/cm3       0.000000    Ktrans     10      1        4
756                           Hematocrit      0.418000                   0.000000         H     10      1        5
757  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     10      1        5
758           Hepatocellular uptake rate      0.032724  mL/sec/cm3       0.002464       khe     10      1        5
759     Hepatocellular mean transit time    203.321189         sec      16.233566        Th     10      1        5
760        Biliary tissue excretion rate      0.004918  mL/sec/cm3       0.000000       Kbh     10      1        5
761    Hepatocellular tissue uptake rate      0.142280  mL/sec/cm3       0.000000       Khe     10      1        5
762               Biliary excretion rate      0.003787  mL/sec/cm3       0.000000       kbh     10      1        5
763            Liver extraction fraction      0.597778                   0.000000         E     10      1        5
764             Hepatic plasma clearance      0.013162  mL/sec/cm3       0.000000    Ktrans     10      1        5
765                           Hematocrit      0.418000                   0.000000         H     10      1        6
766  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     10      1        6
767           Hepatocellular uptake rate      0.039966  mL/sec/cm3       0.002838       khe     10      1        6
768     Hepatocellular mean transit time    225.378400         sec      16.843082        Th     10      1        6
769        Biliary tissue excretion rate      0.004437  mL/sec/cm3       0.000000       Kbh     10      1        6
770    Hepatocellular tissue uptake rate      0.173767  mL/sec/cm3       0.000000       Khe     10      1        6
771               Biliary excretion rate      0.003416  mL/sec/cm3       0.000000       kbh     10      1        6
772            Liver extraction fraction      0.644771                   0.000000         E     10      1        6
773             Hepatic plasma clearance      0.014197  mL/sec/cm3       0.000000    Ktrans     10      1        6
774                           Hematocrit      0.418000                   0.000000         H     11      1        1
775  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     11      1        1
776           Hepatocellular uptake rate      0.014012  mL/sec/cm3       0.000881       khe     11      1        1
777     Hepatocellular mean transit time    227.051874         sec      15.786653        Th     11      1        1
778        Biliary tissue excretion rate      0.004404  mL/sec/cm3       0.000000       Kbh     11      1        1
779    Hepatocellular tissue uptake rate      0.060920  mL/sec/cm3       0.000000       Khe     11      1        1
780               Biliary excretion rate      0.003391  mL/sec/cm3       0.000000       kbh     11      1        1
781            Liver extraction fraction      0.388880                   0.000000         E     11      1        1
782             Hepatic plasma clearance      0.008563  mL/sec/cm3       0.000000    Ktrans     11      1        1
783                           Hematocrit      0.418000                   0.000000         H     11      1        2
784  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     11      1        2
785           Hepatocellular uptake rate      0.028364  mL/sec/cm3       0.001967       khe     11      1        2
786     Hepatocellular mean transit time    269.369316         sec      20.372041        Th     11      1        2
787        Biliary tissue excretion rate      0.003712  mL/sec/cm3       0.000000       Kbh     11      1        2
788    Hepatocellular tissue uptake rate      0.123322  mL/sec/cm3       0.000000       Khe     11      1        2
789               Biliary excretion rate      0.002859  mL/sec/cm3       0.000000       kbh     11      1        2
790            Liver extraction fraction      0.562969                   0.000000         E     11      1        2
791             Hepatic plasma clearance      0.012396  mL/sec/cm3       0.000000    Ktrans     11      1        2
792                           Hematocrit      0.418000                   0.000000         H     11      1        3
793  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     11      1        3
794           Hepatocellular uptake rate      0.030036  mL/sec/cm3       0.002657       khe     11      1        3
795     Hepatocellular mean transit time    219.517315         sec      20.772082        Th     11      1        3
796        Biliary tissue excretion rate      0.004555  mL/sec/cm3       0.000000       Kbh     11      1        3
797    Hepatocellular tissue uptake rate      0.130592  mL/sec/cm3       0.000000       Khe     11      1        3
798               Biliary excretion rate      0.003508  mL/sec/cm3       0.000000       kbh     11      1        3
799            Liver extraction fraction      0.577006                   0.000000         E     11      1        3
800             Hepatic plasma clearance      0.012705  mL/sec/cm3       0.000000    Ktrans     11      1        3
801                           Hematocrit      0.418000                   0.000000         H     11      1        4
802  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     11      1        4
803           Hepatocellular uptake rate      0.029084  mL/sec/cm3       0.002288       khe     11      1        4
804     Hepatocellular mean transit time    234.766701         sec      19.873939        Th     11      1        4
805        Biliary tissue excretion rate      0.004260  mL/sec/cm3       0.000000       Kbh     11      1        4
806    Hepatocellular tissue uptake rate      0.126451  mL/sec/cm3       0.000000       Khe     11      1        4
807               Biliary excretion rate      0.003280  mL/sec/cm3       0.000000       kbh     11      1        4
808            Liver extraction fraction      0.569124                   0.000000         E     11      1        4
809             Hepatic plasma clearance      0.012532  mL/sec/cm3       0.000000    Ktrans     11      1        4
810                           Hematocrit      0.418000                   0.000000         H     11      1        5
811  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     11      1        5
812           Hepatocellular uptake rate      0.023826  mL/sec/cm3       0.001681       khe     11      1        5
813     Hepatocellular mean transit time    313.385810         sec      24.843092        Th     11      1        5
814        Biliary tissue excretion rate      0.003191  mL/sec/cm3       0.000000       Kbh     11      1        5
815    Hepatocellular tissue uptake rate      0.103590  mL/sec/cm3       0.000000       Khe     11      1        5
816               Biliary excretion rate      0.002457  mL/sec/cm3       0.000000       kbh     11      1        5
817            Liver extraction fraction      0.519703                   0.000000         E     11      1        5
818             Hepatic plasma clearance      0.011443  mL/sec/cm3       0.000000    Ktrans     11      1        5
819                           Hematocrit      0.418000                   0.000000         H     11      1        6
820  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     11      1        6
821           Hepatocellular uptake rate      0.029338  mL/sec/cm3       0.002007       khe     11      1        6
822     Hepatocellular mean transit time    264.579427         sec      19.666217        Th     11      1        6
823        Biliary tissue excretion rate      0.003780  mL/sec/cm3       0.000000       Kbh     11      1        6
824    Hepatocellular tissue uptake rate      0.127557  mL/sec/cm3       0.000000       Khe     11      1        6
825               Biliary excretion rate      0.002910  mL/sec/cm3       0.000000       kbh     11      1        6
826            Liver extraction fraction      0.571256                   0.000000         E     11      1        6
827             Hepatic plasma clearance      0.012578  mL/sec/cm3       0.000000    Ktrans     11      1        6
828                           Hematocrit      0.418000                   0.000000         H     12      1        1
829  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     12      1        1
830           Hepatocellular uptake rate      0.030000  mL/sec/cm3       0.001981       khe     12      1        1
831     Hepatocellular mean transit time    326.139621         sec      23.676019        Th     12      1        1
832        Biliary tissue excretion rate      0.003066  mL/sec/cm3       0.000000       Kbh     12      1        1
833    Hepatocellular tissue uptake rate      0.130435  mL/sec/cm3       0.000000       Khe     12      1        1
834               Biliary excretion rate      0.002361  mL/sec/cm3       0.000000       kbh     12      1        1
835            Liver extraction fraction      0.576713                   0.000000         E     12      1        1
836             Hepatic plasma clearance      0.012699  mL/sec/cm3       0.000000    Ktrans     12      1        1
837                           Hematocrit      0.418000                   0.000000         H     12      1        2
838  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     12      1        2
839           Hepatocellular uptake rate      0.027448  mL/sec/cm3       0.001948       khe     12      1        2
840     Hepatocellular mean transit time    262.269019         sec      19.984344        Th     12      1        2
841        Biliary tissue excretion rate      0.003813  mL/sec/cm3       0.000000       Kbh     12      1        2
842    Hepatocellular tissue uptake rate      0.119340  mL/sec/cm3       0.000000       Khe     12      1        2
843               Biliary excretion rate      0.002936  mL/sec/cm3       0.000000       kbh     12      1        2
844            Liver extraction fraction      0.554877                   0.000000         E     12      1        2
845             Hepatic plasma clearance      0.012218  mL/sec/cm3       0.000000    Ktrans     12      1        2
846                           Hematocrit      0.418000                   0.000000         H     12      1        3
847  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     12      1        3
848           Hepatocellular uptake rate      0.030764  mL/sec/cm3       0.002113       khe     12      1        3
849     Hepatocellular mean transit time    261.478684         sec      19.132158        Th     12      1        3
850        Biliary tissue excretion rate      0.003824  mL/sec/cm3       0.000000       Kbh     12      1        3
851    Hepatocellular tissue uptake rate      0.133755  mL/sec/cm3       0.000000       Khe     12      1        3
852               Biliary excretion rate      0.002945  mL/sec/cm3       0.000000       kbh     12      1        3
853            Liver extraction fraction      0.582837                   0.000000         E     12      1        3
854             Hepatic plasma clearance      0.012833  mL/sec/cm3       0.000000    Ktrans     12      1        3
855                           Hematocrit      0.418000                   0.000000         H     12      1        4
856  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     12      1        4
857           Hepatocellular uptake rate      0.028471  mL/sec/cm3       0.001859       khe     12      1        4
858     Hepatocellular mean transit time    269.447999         sec      18.903053        Th     12      1        4
859        Biliary tissue excretion rate      0.003711  mL/sec/cm3       0.000000       Kbh     12      1        4
860    Hepatocellular tissue uptake rate      0.123788  mL/sec/cm3       0.000000       Khe     12      1        4
861               Biliary excretion rate      0.002858  mL/sec/cm3       0.000000       kbh     12      1        4
862            Liver extraction fraction      0.563896                   0.000000         E     12      1        4
863             Hepatic plasma clearance      0.012416  mL/sec/cm3       0.000000    Ktrans     12      1        4
864                           Hematocrit      0.418000                   0.000000         H     13      1        1
865  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     13      1        1
866           Hepatocellular uptake rate      0.019085  mL/sec/cm3       0.002455       khe     13      1        1
867     Hepatocellular mean transit time    156.031562         sec      21.402089        Th     13      1        1
868        Biliary tissue excretion rate      0.006409  mL/sec/cm3       0.000000       Kbh     13      1        1
869    Hepatocellular tissue uptake rate      0.082977  mL/sec/cm3       0.000000       Khe     13      1        1
870               Biliary excretion rate      0.004935  mL/sec/cm3       0.000000       kbh     13      1        1
871            Liver extraction fraction      0.464307                   0.000000         E     13      1        1
872             Hepatic plasma clearance      0.010224  mL/sec/cm3       0.000000    Ktrans     13      1        1
873                           Hematocrit      0.418000                   0.000000         H     13      2        1
874  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     13      2        1
875           Hepatocellular uptake rate      0.024808  mL/sec/cm3       0.001606       khe     13      2        1
876     Hepatocellular mean transit time    244.656111         sec      17.235264        Th     13      2        1
877        Biliary tissue excretion rate      0.004087  mL/sec/cm3       0.000000       Kbh     13      2        1
878    Hepatocellular tissue uptake rate      0.107860  mL/sec/cm3       0.000000       Khe     13      2        1
879               Biliary excretion rate      0.003147  mL/sec/cm3       0.000000       kbh     13      2        1
880            Liver extraction fraction      0.529778                   0.000000         E     13      2        1
881             Hepatic plasma clearance      0.011665  mL/sec/cm3       0.000000    Ktrans     13      2        1
882                           Hematocrit      0.418000                   0.000000         H     13      1        2
883  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     13      1        2
884           Hepatocellular uptake rate      0.026554  mL/sec/cm3       0.002467       khe     13      1        2
885     Hepatocellular mean transit time    187.581317         sec      18.382557        Th     13      1        2
886        Biliary tissue excretion rate      0.005331  mL/sec/cm3       0.000000       Kbh     13      1        2
887    Hepatocellular tissue uptake rate      0.115452  mL/sec/cm3       0.000000       Khe     13      1        2
888               Biliary excretion rate      0.004105  mL/sec/cm3       0.000000       kbh     13      1        2
889            Liver extraction fraction      0.546681                   0.000000         E     13      1        2
890             Hepatic plasma clearance      0.012037  mL/sec/cm3       0.000000    Ktrans     13      1        2
891                           Hematocrit      0.418000                   0.000000         H     13      2        2
892  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     13      2        2
893           Hepatocellular uptake rate      0.027595  mL/sec/cm3       0.001957       khe     13      2        2
894     Hepatocellular mean transit time    237.503247         sec      18.192700        Th     13      2        2
895        Biliary tissue excretion rate      0.004210  mL/sec/cm3       0.000000       Kbh     13      2        2
896    Hepatocellular tissue uptake rate      0.119980  mL/sec/cm3       0.000000       Khe     13      2        2
897               Biliary excretion rate      0.003242  mL/sec/cm3       0.000000       kbh     13      2        2
898            Liver extraction fraction      0.556197                   0.000000         E     13      2        2
899             Hepatic plasma clearance      0.012247  mL/sec/cm3       0.000000    Ktrans     13      2        2
900                           Hematocrit      0.418000                   0.000000         H     13      1        3
901  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     13      1        3
902           Hepatocellular uptake rate      0.024377  mL/sec/cm3       0.002563       khe     13      1        3
903     Hepatocellular mean transit time    214.667832         sec      24.050896        Th     13      1        3
904        Biliary tissue excretion rate      0.004658  mL/sec/cm3       0.000000       Kbh     13      1        3
905    Hepatocellular tissue uptake rate      0.105988  mL/sec/cm3       0.000000       Khe     13      1        3
906               Biliary excretion rate      0.003587  mL/sec/cm3       0.000000       kbh     13      1        3
907            Liver extraction fraction      0.525415                   0.000000         E     13      1        3
908             Hepatic plasma clearance      0.011569  mL/sec/cm3       0.000000    Ktrans     13      1        3
909                           Hematocrit      0.418000                   0.000000         H     13      2        3
910  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     13      2        3
911           Hepatocellular uptake rate      0.022180  mL/sec/cm3       0.001826       khe     13      2        3
912     Hepatocellular mean transit time    226.709014         sec      20.299682        Th     13      2        3
913        Biliary tissue excretion rate      0.004411  mL/sec/cm3       0.000000       Kbh     13      2        3
914    Hepatocellular tissue uptake rate      0.096435  mL/sec/cm3       0.000000       Khe     13      2        3
915               Biliary excretion rate      0.003396  mL/sec/cm3       0.000000       kbh     13      2        3
916            Liver extraction fraction      0.501822                   0.000000         E     13      2        3
917             Hepatic plasma clearance      0.011050  mL/sec/cm3       0.000000    Ktrans     13      2        3
918                           Hematocrit      0.418000                   0.000000         H     13      1        4
919  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     13      1        4
920           Hepatocellular uptake rate      0.037584  mL/sec/cm3       0.002927       khe     13      1        4
921     Hepatocellular mean transit time    254.315529         sec      21.112256        Th     13      1        4
922        Biliary tissue excretion rate      0.003932  mL/sec/cm3       0.000000       Kbh     13      1        4
923    Hepatocellular tissue uptake rate      0.163407  mL/sec/cm3       0.000000       Khe     13      1        4
924               Biliary excretion rate      0.003028  mL/sec/cm3       0.000000       kbh     13      1        4
925            Liver extraction fraction      0.630570                   0.000000         E     13      1        4
926             Hepatic plasma clearance      0.013885  mL/sec/cm3       0.000000    Ktrans     13      1        4
927                           Hematocrit      0.418000                   0.000000         H     13      2        4
928  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     13      2        4
929           Hepatocellular uptake rate      0.032488  mL/sec/cm3       0.003095       khe     13      2        4
930     Hepatocellular mean transit time    241.158572         sec      24.217476        Th     13      2        4
931        Biliary tissue excretion rate      0.004147  mL/sec/cm3       0.000000       Kbh     13      2        4
932    Hepatocellular tissue uptake rate      0.141253  mL/sec/cm3       0.000000       Khe     13      2        4
933               Biliary excretion rate      0.003193  mL/sec/cm3       0.000000       kbh     13      2        4
934            Liver extraction fraction      0.596035                   0.000000         E     13      2        4
935             Hepatic plasma clearance      0.013124  mL/sec/cm3       0.000000    Ktrans     13      2        4
936                           Hematocrit      0.418000                   0.000000         H     13      1        5
937  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     13      1        5
938           Hepatocellular uptake rate      0.039824  mL/sec/cm3       0.004918       khe     13      1        5
939     Hepatocellular mean transit time    189.275595         sec      24.429376        Th     13      1        5
940        Biliary tissue excretion rate      0.005283  mL/sec/cm3       0.000000       Kbh     13      1        5
941    Hepatocellular tissue uptake rate      0.173150  mL/sec/cm3       0.000000       Khe     13      1        5
942               Biliary excretion rate      0.004068  mL/sec/cm3       0.000000       kbh     13      1        5
943            Liver extraction fraction      0.643956                   0.000000         E     13      1        5
944             Hepatic plasma clearance      0.014179  mL/sec/cm3       0.000000    Ktrans     13      1        5
945                           Hematocrit      0.418000                   0.000000         H     13      2        5
946  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     13      2        5
947           Hepatocellular uptake rate      0.028822  mL/sec/cm3       0.002995       khe     13      2        5
948     Hepatocellular mean transit time    180.559714         sec      19.678171        Th     13      2        5
949        Biliary tissue excretion rate      0.005538  mL/sec/cm3       0.000000       Kbh     13      2        5
950    Hepatocellular tissue uptake rate      0.125312  mL/sec/cm3       0.000000       Khe     13      2        5
951               Biliary excretion rate      0.004265  mL/sec/cm3       0.000000       kbh     13      2        5
952            Liver extraction fraction      0.566902                   0.000000         E     13      2        5
953             Hepatic plasma clearance      0.012483  mL/sec/cm3       0.000000    Ktrans     13      2        5
954                           Hematocrit      0.418000                   0.000000         H     13      1        6
955  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     13      1        6
956           Hepatocellular uptake rate      0.037123  mL/sec/cm3       0.003325       khe     13      1        6
957     Hepatocellular mean transit time    204.034295         sec      19.236146        Th     13      1        6
958        Biliary tissue excretion rate      0.004901  mL/sec/cm3       0.000000       Kbh     13      1        6
959    Hepatocellular tissue uptake rate      0.161406  mL/sec/cm3       0.000000       Khe     13      1        6
960               Biliary excretion rate      0.003774  mL/sec/cm3       0.000000       kbh     13      1        6
961            Liver extraction fraction      0.627695                   0.000000         E     13      1        6
962             Hepatic plasma clearance      0.013821  mL/sec/cm3       0.000000    Ktrans     13      1        6
963                           Hematocrit      0.418000                   0.000000         H     13      2        6
964  Liver extracellular volume fraction      0.230000      mL/cm3       0.000000        ve     13      2        6
965           Hepatocellular uptake rate      0.027368  mL/sec/cm3       0.001377       khe     13      2        6
966     Hepatocellular mean transit time    212.489355         sec      11.312341        Th     13      2        6
967        Biliary tissue excretion rate      0.004706  mL/sec/cm3       0.000000       Kbh     13      2        6
968    Hepatocellular tissue uptake rate      0.118990  mL/sec/cm3       0.000000       Khe     13      2        6
969               Biliary excretion rate      0.003624  mL/sec/cm3       0.000000       kbh     13      2        6
970            Liver extraction fraction      0.554151                   0.000000         E     13      2        6
971             Hepatic plasma clearance      0.012202  mL/sec/cm3       0.000000    Ktrans     13      2        6

Plot individual results#

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

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

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

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

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

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

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

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

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

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

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

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

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

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

plt.tight_layout()
plt.show()

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

Total running time of the script: (0 minutes 56.176 seconds)

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