Combined circadian model

[Generated automatically as a Tutorial summary]

Model Description

Name:

circ_combined

Title:

Combined circadian model

Author:

PoPy for PK/PD

Abstract:

A PD Model based on the concentration of drug in the plasma.
The PD model uses three sine functions with different amplitudes and frequencies, which simulates a circadian rhythm for the generation of a biomarker.
The amount in the central compartment is determined by CL, V1, Q and V2, PK parameters, which have been previously estimated for each individual in the data file.
The amount in the central compartment influences the rate of production of a biomarker.
Keywords:

PD; Pharmacodynamics; sine function; Circadian rhythm

Input Script:

circ_combined_tut.pyml

Diagram:

Comparison

True objective value

1072.0713

Final fitted objective value

1638.2986

Compare Main f[X]

Name

Initial

Fitted

True

Abs. Error

Prop. Error

f[AMP1]

3

2.54

1.2

1.34e+00

111.90%

f[INT1]

5

15.4

3.5

1.19e+01

339.69%

f[AMP2]

3

0.691

2.5

1.81e+00

72.37%

f[INT2]

5

0.1

6

5.90e+00

98.33%

f[AMP3]

3

3.13

3.2

6.90e-02

2.16%

f[INT3]

5

60.8

13

4.78e+01

367.87%

f[KOUT]

0.1

0.0478

0.05

2.19e-03

4.39%

Compare Noise f[X]

Name

Initial

Fitted

True

Abs. Error

Prop. Error

f[ANOISE]

10

14.6

5

9.62e+00

192.49%

Compare Variance f[X]

No Variance f[X] values to compare.

Outputs

Fitted f[X] values (after fitting)

f[AMP1] = 2.5428
f[INT1] = 15.3892
f[AMP2] = 0.6906
f[INT2] = 0.1000
f[AMP3] = 3.1310
f[INT3] = 60.8236
f[KOUT] = 0.0478
f[ANOISE] = 14.6244

Generated data .csv file

Synthetic Data:

synthetic_data.csv

Gen and Fit Summaries

Inputs

True f[X] values (for simulation)

f[AMP1] = 1.2000
f[INT1] = 3.5000
f[AMP2] = 2.5000
f[INT2] = 6.0000
f[AMP3] = 3.2000
f[INT3] = 13.0000
f[KOUT] = 0.0500
f[ANOISE] = 5.0000

Starting f[X] values (before fitting)

f[AMP1] = 3.0000
f[INT1] = 5.0000
f[AMP2] = 3.0000
f[INT2] = 5.0000
f[AMP3] = 3.0000
f[INT3] = 5.0000
f[KOUT] = 0.1000
f[ANOISE] = 10.0000