Direct Effect Emax PD Model

[Generated automatically as a Tutorial summary]

Model Description

Name:

emax_nondiff

Title:

Direct Effect Emax PD Model

Author:

PoPy for PK/PD

Abstract:

A direct effect emax PK/PD Model, based on the concentration of drug in the body.
The one compartment PK model uses previously estimated values of CL and V for each individual
The concentration in the central compartment influences the effect.
The effect is not a compartment and so does not increase over time. It is dependent on the baseline effect, the concentration in the central compartment, the maximum effect (emax) and concentration at which the effect is half the maximum (EC50).
Keywords:

PD; Pharmacodynamics; one compartment model; emax; EC50; baseline effect

Input Script:

emax_nondiff.pyml

Diagram:

Comparison

True objective value

-52.6006

Final fitted objective value

-54.8713

Compare Main f[X]

No Main f[X] values to compare.

Compare Noise f[X]

Name

Initial

Fitted

True

Abs. Error

Prop. Error

f[EMAX]

80

523

100

4.23e+02

422.67%

f[E50]

50

323

60

2.63e+02

438.07%

f[EBASE]

5

10…

10

1.49e-02

0.15%

f[ANOISE]

2

0.46

0.5

3.98e-02

7.95%

Compare Variance f[X]

No Variance f[X] values to compare.

Outputs

Fitted f[X] values (after fitting)

f[EMAX] = 522.6699
f[E50] = 322.8391
f[EBASE] = 10.0149
f[ANOISE] = 0.4602

Generated data .csv file

Synthetic Data:

synthetic_data.csv

Gen and Fit Summaries

Inputs

True f[X] values (for simulation)

f[EMAX] = 100.0000
f[E50] = 60.0000
f[EBASE] = 10.0000
f[ANOISE] = 0.5000

Starting f[X] values (before fitting)

f[EMAX] = 80.0000
f[E50] = 50.0000
f[EBASE] = 5.0000
f[ANOISE] = 2.0000