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First order absorption model with peripheral compartment

[Generated automatically as a Tutorial summary]

Model Description

Name:

builtin_tut_example

Title:

First order absorption model with peripheral compartment

Author:

PoPy for PK/PD

Abstract:

A two compartment PK model with bolus dose and
first order absorption, similar to a Nonmem advan4trans4 model.
Keywords:

tutorial; pk; advan4; dep_two_cmp; first order

Input Script:

builtin_tut_example.pyml

Diagram:

Comparison

True objective value

-873.1410

Final fitted objective value

-894.0829

Compare Main f[X]

Name

Initial

Fitted

True

Abs. Error

Prop. Error

f[KA]

1

0.176

0.2

2.38e-02

11.89%

f[CL]

1

2.05

2

4.90e-02

2.45%

f[V1]

20

47

50

2.97e+00

5.94%

f[Q]

0.5

1.24

1

2.40e-01

24.03%

f[V2]

100

62.1

80

1.79e+01

22.36%

Compare Noise f[X]

Name

Initial

Fitted

True

Abs. Error

Prop. Error

f[PNOISE]

0.1

0.141

0.15

8.87e-03

5.92%

Compare Variance f[X]

Name

Initial

Fitted

True

Abs. Error

Prop. Error

f[KA_isv]

0.05

0.0714

0.1

2.86e-02

28.60%

f[KA_isv;CL_isv]

0.01

0.0735

0.01

6.35e-02

635.03%

f[KA_isv;V1_isv]

0.01

-0.00747

0.01

1.75e-02

174.72%

f[KA_isv;Q_isv]

0.01

-0.14

0.01

1.50e-01

1499.49%

f[KA_isv;V2_isv]

0.01

-0.0601

0.01

7.01e-02

701.41%

f[CL_isv;KA_isv]

0.01

0.0735

0.01

6.35e-02

635.03%

f[CL_isv]

0.05

0.142

0.03

1.12e-01

373.92%

f[CL_isv;V1_isv]

0.01

-0.00395

-0.01

6.05e-03

60.53%

f[CL_isv;Q_isv]

0.01

-0.126

0.02

1.46e-01

728.10%

f[CL_isv;V2_isv]

0.01

-0.232

0.02

2.52e-01

1258.86%

f[V1_isv;KA_isv]

0.01

-0.00747

0.01

1.75e-02

174.72%

f[V1_isv;CL_isv]

0.01

-0.00395

-0.01

6.05e-03

60.53%

f[V1_isv]

0.05

0.0894

0.09

5.51e-04

0.61%

f[V1_isv;Q_isv]

0.01

0.0483

0.01

3.83e-02

383.12%

f[V1_isv;V2_isv]

0.01

0.106

0.01

9.59e-02

958.84%

f[Q_isv;KA_isv]

0.01

-0.14

0.01

1.50e-01

1499.49%

f[Q_isv;CL_isv]

0.01

-0.126

0.02

1.46e-01

728.10%

f[Q_isv;V1_isv]

0.01

0.0483

0.01

3.83e-02

383.12%

f[Q_isv]

0.05

0.301

0.07

2.31e-01

330.59%

f[Q_isv;V2_isv]

0.01

0.0929

0.01

8.29e-02

829.25%

f[V2_isv;KA_isv]

0.01

-0.0601

0.01

7.01e-02

701.41%

f[V2_isv;CL_isv]

0.01

-0.232

0.02

2.52e-01

1258.86%

f[V2_isv;V1_isv]

0.01

0.106

0.01

9.59e-02

958.84%

f[V2_isv;Q_isv]

0.01

0.0929

0.01

8.29e-02

829.25%

f[V2_isv]

0.05

0.655

0.05

6.05e-01

1210.21%

Outputs

Fitted f[X] values (after fitting)

f[KA] = 0.1762
f[CL] = 2.0490
f[V1] = 47.0285
f[Q] = 1.2403
f[V2] = 62.1150
f[KA_isv,CL_isv,V1_isv,Q_isv,V2_isv] = [
    [ 0.0714, 0.0735, -0.0075, -0.1399, -0.0601 ],
    [ 0.0735, 0.1422, -0.0039, -0.1256, -0.2318 ],
    [ -0.0075, -0.0039, 0.0894, 0.0483, 0.1059 ],
    [ -0.1399, -0.1256, 0.0483, 0.3014, 0.0929 ],
    [ -0.0601, -0.2318, 0.1059, 0.0929, 0.6551 ],
]
f[PNOISE] = 0.1411

Generated data .csv file

Synthetic Data:

synthetic_data.csv

Gen and Fit Summaries

Inputs

True f[X] values (for simulation)

f[KA] = 0.2000
f[CL] = 2.0000
f[V1] = 50.0000
f[Q] = 1.0000
f[V2] = 80.0000
f[KA_isv,CL_isv,V1_isv,Q_isv,V2_isv] = [
    [ 0.1000, 0.0100, 0.0100, 0.0100, 0.0100 ],
    [ 0.0100, 0.0300, -0.0100, 0.0200, 0.0200 ],
    [ 0.0100, -0.0100, 0.0900, 0.0100, 0.0100 ],
    [ 0.0100, 0.0200, 0.0100, 0.0700, 0.0100 ],
    [ 0.0100, 0.0200, 0.0100, 0.0100, 0.0500 ],
]
f[PNOISE] = 0.1500

Starting f[X] values (before fitting)

f[KA] = 1.0000
f[CL] = 1.0000
f[V1] = 20.0000
f[Q] = 0.5000
f[V2] = 100.0000
f[KA_isv,CL_isv,V1_isv,Q_isv,V2_isv] = [
    [ 0.0500, 0.0100, 0.0100, 0.0100, 0.0100 ],
    [ 0.0100, 0.0500, 0.0100, 0.0100, 0.0100 ],
    [ 0.0100, 0.0100, 0.0500, 0.0100, 0.0100 ],
    [ 0.0100, 0.0100, 0.0100, 0.0500, 0.0100 ],
    [ 0.0100, 0.0100, 0.0100, 0.0100, 0.0500 ],
]
f[PNOISE] = 0.1000
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