Complex Emax PD Model

[Generated automatically as a Tutorial summary]

Model Description

Name:

emax_complex

Title:

Complex Emax PD Model

Author:

PoPy for PK/PD

Abstract:

An complex emax PK/PD Model, based on the concentration of drug in the body.
The two compartment PK model uses previously estimated values of CL, V1, Q and V2 for each individual
The concentration in the central compartment influences the effect compartment along with EMAX (the maximum effect), EC50 (the concentration at which the effect is half the maximum) using a hill equation.
Keywords:

pkpd

Input Script:

emax_complex.pyml

Diagram:

Comparison

True objective value

305.2694

Final fitted objective value

301.5421

Compare Main f[X]

Name

Initial

Fitted

True

Abs. Error

Prop. Error

f[EMAX]

100

105

80

2.51e+01

31.37%

f[E50]

10

47.6

20

2.76e+01

138.22%

f[GAMMA]

1

0.475

0.5

2.45e-02

4.91%

Compare Noise f[X]

Name

Initial

Fitted

True

Abs. Error

Prop. Error

f[ANOISE]

5

2.75

3

2.49e-01

8.29%

Compare Variance f[X]

No Variance f[X] values to compare.

Outputs

Fitted f[X] values (after fitting)

f[EMAX] = 105.0956
f[E50] = 47.6442
f[GAMMA] = 0.4755
f[ANOISE] = 2.7512

Generated data .csv file

Synthetic Data:

synthetic_data.csv

Gen and Fit Summaries

Inputs

True f[X] values (for simulation)

f[EMAX] = 80.0000
f[E50] = 20.0000
f[GAMMA] = 0.5000
f[ANOISE] = 3.0000

Starting f[X] values (before fitting)

f[EMAX] = 100.0000
f[E50] = 10.0000
f[GAMMA] = 1.0000
f[ANOISE] = 5.0000