• Language: en
  • Documentation version: 1.3.1

Emax PD Model

[Generated automatically as a Tutorial summary]

Model Description

Name:

emax_simple

Title:

Emax PD Model

Author:

PoPy for PK/PD

Abstract:

A simple emax PKPD Model, based on the amount of drug in the body.
The two compartment PK model uses 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

Input Script:

emax_simple.pyml

Diagram:

Comparison

True objective value

169.1186

Final fitted objective value

163.2858

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]

100

81.9

80

1.88e+00

2.35%

f[E50]

50

20.7

20

7.07e-01

3.53%

f[ANOISE]

5

0.912

1

8.77e-02

8.77%

Compare Variance f[X]

No Variance f[X] values to compare.

Outputs

Fitted f[X] values (after fitting)

f[EMAX] = 81.8815
f[E50] = 20.7067
f[ANOISE] = 0.9123

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] = 50.0000
f[ANOISE] = 5.0000
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