binary_emax_PD_model

[Generated automatically as a Tutorial summary]

Model Description

Name:

emax_binary

Title:

binary_emax_PD_model

Author:

PoPy for PK/PD

Abstract:

An emax PK/PD Model, based on the amount of drug in the body.
The two compartment PK model with previously estimated values of K, K21 and K12 for each individual.
The amount in the central compartment influences the effect compartment along with EMAX (the maximum effect) and EC50 (the amount at which the effect is half the maximum)
Keywords:

PD; Pharmacodynamics; two compartment model; emax; EC50; binary response

Input Script:

emax_binary.pyml

Diagram:

Comparison

True objective value

89.8551

Final fitted objective value

88.9284

Compare Main f[X]

Name

Initial

Fitted

True

Abs. Error

Prop. Error

f[EMAX]

100

80.1

80

1.06e-01

0.13%

f[E50]

10

20…

20

4.75e-02

0.24%

Compare Noise f[X]

Name

Initial

Fitted

True

Abs. Error

Prop. Error

f[ANOISE]

0.5

0.947

1

5.34e-02

5.34%

Compare Variance f[X]

No Variance f[X] values to compare.

Outputs

Fitted f[X] values (after fitting)

f[EMAX] = 80.1058
f[E50] = 20.0475
f[ANOISE] = 0.9466

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[ANOISE] = 1.0000

Starting f[X] values (before fitting)

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