• Language: en
  • Documentation version: 1.3.1

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

-847.4635

Final fitted objective value

-863.1496

Compare Main f[X]

Name

Initial

Fitted

True

Abs. Error

Prop. Error

f[KA]

1

0.215

0.2

1.48e-02

7.41%

f[CL]

1

1.79

2

2.10e-01

10.52%

f[V1]

20

55.5

50

5.46e+00

10.92%

f[Q]

0.5

1.06

1

5.64e-02

5.64%

f[V2]

100

487

80

4.07e+02

508.21%

Compare Noise f[X]

Name

Initial

Fitted

True

Abs. Error

Prop. Error

f[PNOISE]

0.1

0.142

0.15

8.50e-03

5.67%

Compare Variance f[X]

Name

Initial

Fitted

True

Abs. Error

Prop. Error

f[KA_isv]

0.05

0.139

0.1

3.93e-02

39.25%

f[KA_isv;CL_isv]

0.01

-0.0553

0.01

6.53e-02

653.38%

f[KA_isv;V1_isv]

0.01

0.0414

0.01

3.14e-02

314.14%

f[KA_isv;Q_isv]

0.01

-0.0256

0.01

3.56e-02

356.13%

f[KA_isv;V2_isv]

0.01

0.122

0.01

1.12e-01

1116.86%

f[CL_isv;KA_isv]

0.01

-0.0553

0.01

6.53e-02

653.38%

f[CL_isv]

0.05

0.0808

0.03

5.08e-02

169.21%

f[CL_isv;V1_isv]

0.01

-0.00702

-0.01

2.98e-03

29.83%

f[CL_isv;Q_isv]

0.01

-0.00606

0.02

2.61e-02

130.30%

f[CL_isv;V2_isv]

0.01

-0.178

0.02

1.98e-01

992.15%

f[V1_isv;KA_isv]

0.01

0.0414

0.01

3.14e-02

314.14%

f[V1_isv;CL_isv]

0.01

-0.00702

-0.01

2.98e-03

29.83%

f[V1_isv]

0.05

0.11

0.09

1.98e-02

21.97%

f[V1_isv;Q_isv]

0.01

-0.0827

0.01

9.27e-02

927.02%

f[V1_isv;V2_isv]

0.01

0.214

0.01

2.04e-01

2039.38%

f[Q_isv;KA_isv]

0.01

-0.0256

0.01

3.56e-02

356.13%

f[Q_isv;CL_isv]

0.01

-0.00606

0.02

2.61e-02

130.30%

f[Q_isv;V1_isv]

0.01

-0.0827

0.01

9.27e-02

927.02%

f[Q_isv]

0.05

0.317

0.07

2.47e-01

353.28%

f[Q_isv;V2_isv]

0.01

-0.324

0.01

3.34e-01

3339.14%

f[V2_isv;KA_isv]

0.01

0.122

0.01

1.12e-01

1116.86%

f[V2_isv;CL_isv]

0.01

-0.178

0.02

1.98e-01

992.15%

f[V2_isv;V1_isv]

0.01

0.214

0.01

2.04e-01

2039.38%

f[V2_isv;Q_isv]

0.01

-0.324

0.01

3.34e-01

3339.14%

f[V2_isv]

0.05

0.944

0.05

8.94e-01

1788.59%

Outputs

Fitted f[X] values (after fitting)

f[KA] = 0.2148
f[CL] = 1.7896
f[V1] = 55.4580
f[Q] = 1.0564
f[V2] = 486.5705
f[KA_isv,CL_isv,V1_isv,Q_isv,V2_isv] = [
    [ 0.1393, -0.0553, 0.0414, -0.0256, 0.1217 ],
    [ -0.0553, 0.0808, -0.0070, -0.0061, -0.1784 ],
    [ 0.0414, -0.0070, 0.1098, -0.0827, 0.2139 ],
    [ -0.0256, -0.0061, -0.0827, 0.3173, -0.3239 ],
    [ 0.1217, -0.1784, 0.2139, -0.3239, 0.9443 ],
]
f[PNOISE] = 0.1415

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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