emax_disease_progression_compartmental_model
[Generated automatically as a Tutorial summary]
Model Description
- Name:
dp_emax
- Title:
emax_disease_progression_compartmental_model
- Author:
Andrew Cristinacce @ PoPy for PK/PD
- Abstract:
Specifies both the pop_gen and pop_fit subscripts.
A disease progression model, based on the concentration of drug in the central compartment.
The amount in the central compartment is determined by CL/V, which has been previously estimated for each individual.
The disease compartment increases linearly over time, but is initially reduced by the drug concentration.
The effect of the drug concentration is limited by an emax model
- Keywords:
PD; Pharmacodynamics; one compartment model; linear disease progression; emax; E50
- Input Script:
- Diagram:
Comparison
True objective value
86.0288
Final fitted objective value
85.9739
Compare Main f[X]
Name |
Initial |
Fitted |
True |
Abs. Error |
Prop. Error |
|---|---|---|---|---|---|
f[EMAX] |
20 |
81.5 |
30 |
5.15e+01 |
171.80% |
f[E50] |
15 |
953 |
10 |
9.43e+02 |
9434.33% |
f[ALPHA] |
2 |
2.5… |
2.5 |
3.61e-03 |
0.14% |
f[BETA] |
0.1 |
9.54 |
0.3 |
9.24e+00 |
3079.00% |
Compare Noise f[X]
Name |
Initial |
Fitted |
True |
Abs. Error |
Prop. Error |
|---|---|---|---|---|---|
f[S0] |
250 |
202 |
200 |
1.79e+00 |
0.89% |
f[ANOISE] |
2 |
0.932 |
1 |
6.77e-02 |
6.77% |
Compare Variance f[X]
No Variance f[X] values to compare.
Outputs
Fitted f[X] values (after fitting)
f[S0] = 201.7859
f[EMAX] = 81.5395
f[E50] = 953.4332
f[ALPHA] = 2.5036
f[BETA] = 9.5370
f[ANOISE] = 0.9323
Generated data .csv file
- Synthetic Data:
Gen and Fit Summaries
Gen: emax_disease_progression_compartmental_model (gen)
Fit: emax_disease_progression_compartmental_model (fit)
Inputs
True f[X] values (for simulation)
f[S0] = 200.0000
f[EMAX] = 30.0000
f[E50] = 10.0000
f[ALPHA] = 2.5000
f[BETA] = 0.3000
f[ANOISE] = 1.0000
Starting f[X] values (before fitting)
f[S0] = 250.0000
f[EMAX] = 20.0000
f[E50] = 15.0000
f[ALPHA] = 2.0000
f[BETA] = 0.1000
f[ANOISE] = 2.0000