Combined circadian model

[Generated automatically as a Fitting 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_fit.pyml

Diagram:

Comparison

Compare Main f[X]

Variable Name

Starting Value

Fitted Value

Abs Change

Prop Change

f[AMP1]

3.0000

2.5428

0.4572

0.1524

f[INT1]

5.0000

15.3892

10.3892

2.0778

f[AMP2]

3.0000

0.6906

2.3094

0.7698

f[INT2]

5.0000

0.1000

4.9000

0.9800

f[AMP3]

3.0000

3.1310

0.1310

0.0437

f[INT3]

5.0000

60.8236

55.8236

11.1647

f[KOUT]

0.1000

0.0478

0.0522

0.5219

Compare Noise f[X]

Variable Name

Starting Value

Fitted Value

Abs Change

Prop Change

f[ANOISE]

10.0000

14.6244

4.6244

0.4624

Compare Variance f[X]

Population simulated (sim) plots

indOBS_vs_TIME

Outputs

Final objective value

1638.2986

which required 1.30 iterations and took 15.75 seconds

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

Fitted parameter .csv files

Fixed Effects:

fx_params.csv (fit)

Random Effects:

rx_params.csv (fit)

Model params:

mx_params.csv (fit)

State values:

sx_params.csv (fit)

Predictions:

px_params.csv (fit)

Likelihoods:

lx_params.csv (fit)

Inputs

Input Data:

cx_obs_params.csv

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