Sine circadian model
[Generated automatically as a Tutorial summary]
Model Description
- Name:
circ_sin
- Title:
Sine circadian model
- Author:
PoPy for PK/PD
- Abstract:
A PD Model based on the amount of drug in the body.
The PD model uses a sine function which simulates a circadian rhythm for the generation of a biomarker.
The amount in the central compartment is determined by CL and V, PK patameters , which have been previosly estimated for each individual.
The amount in the central compartment influences the rate of production of a biomarker.
- Keywords:
PD; Pharmacodynamics; sine function; Circadian rhythm
- Input Script:
- Diagram:
Comparison
True objective value
815.0562
Final fitted objective value
811.8798
Compare Main f[X]
Name |
Initial |
Fitted |
True |
Abs. Error |
Prop. Error |
|---|---|---|---|---|---|
f[AMP] |
3 |
2… |
2 |
2.11e-03 |
0.11% |
f[INT] |
16 |
7.87 |
8 |
1.31e-01 |
1.63% |
f[KOUT] |
0.1 |
0.05… |
0.05 |
1.25e-05 |
0.02% |
Compare Noise f[X]
Name |
Initial |
Fitted |
True |
Abs. Error |
Prop. Error |
|---|---|---|---|---|---|
f[ANOISE] |
5 |
3.07 |
3 |
7.06e-02 |
2.35% |
Compare Variance f[X]
No Variance f[X] values to compare.
Outputs
Fitted f[X] values (after fitting)
f[AMP] = 2.0021
f[INT] = 7.8694
f[KOUT] = 0.0500
f[ANOISE] = 3.0706
Generated data .csv file
- Synthetic Data:
Gen and Fit Summaries
Gen: Sine circadian model (gen)
Fit: Sine circadian model (fit)
Inputs
True f[X] values (for simulation)
f[AMP] = 2.0000
f[INT] = 8.0000
f[KOUT] = 0.0500
f[ANOISE] = 3.0000
Starting f[X] values (before fitting)
f[AMP] = 3.0000
f[INT] = 16.0000
f[KOUT] = 0.1000
f[ANOISE] = 5.0000