emax_disease_progression_compartmental_model

[Generated automatically as a Fitting 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:

dp_emax_fit.pyml

Diagram:

Comparison

Compare Main f[X]

Variable Name

Starting Value

Fitted Value

Abs Change

Prop Change

f[EMAX]

20.0000

81.5395

61.5395

3.0770

f[E50]

15.0000

953.4332

938.4332

62.5622

f[ALPHA]

2.0000

2.5036

0.5036

0.2518

f[BETA]

0.1000

9.5370

9.4370

94.3700

Compare Noise f[X]

Variable Name

Starting Value

Fitted Value

Abs Change

Prop Change

f[S0]

250.0000

201.7859

48.2141

0.1929

f[ANOISE]

2.0000

0.9323

1.0677

0.5338

Compare Variance f[X]

Population simulated (sim) plots

indOBS_vs_TIME

Outputs

Final objective value

85.9739

which required 1.30 iterations and took 14.72 seconds

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

Fitted parameter .csv files

Fixed Effects:

fx_params.csv (fit)

Random Effects:

rx_params.csv (fit)

Model params:

mx_params.csv (fit)

State values:

sx_params.csv (fit)

Predictions:

px_params.csv (fit)

Likelihoods:

lx_params.csv (fit)

Inputs

Input Data:

cx_obs_params.csv

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