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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:circ_sin_tut.pyml
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:synthetic_data.csv

Gen and Fit Summaries

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
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