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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

811.9569

Compare Main f[X]

Name

Initial

Fitted

True

Abs. Error

Prop. Error

f[AMP]

3

2…

2

1.79e-03

0.09%

f[INT]

16

7.87

8

1.29e-01

1.61%

f[KOUT]

0.1

0.05…

0.05

1.56e-05

0.03%

Compare Noise f[X]

Name

Initial

Fitted

True

Abs. Error

Prop. Error

f[ANOISE]

5

3.08

3

7.59e-02

2.53%

Compare Variance f[X]

No Variance f[X] values to compare.

Outputs

Fitted f[X] values (after fitting)

f[AMP] = 2.0018
f[INT] = 7.8714
f[KOUT] = 0.0500
f[ANOISE] = 3.0759

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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