# One Compartment Model with Absorption estimating KA and V

[Generated automatically as a Tutorial summary]

## Model Description

Name:

  d1cmp_ka_v_stderr

Title:

  One Compartment Model with Absorption estimating KA and V

Author:

  PoPy for PK/PD

Abstract:

One Compartment Model with Absorption compartment with rate (KA).
Elimination rate parametrised by clearance (CL)
and volume of distribution (V).
Model specification uses incremental flows

Keywords:

  dep_one_cmp_cl; one compartment model

Input Script:

  `d1cmp_ka_v_stderr.pyml`

Diagram:

## Comparison

### True objective value

    -44.5041

### Final fitted objective value

    -44.7678

### Compare Main f[X]

Name | Initial | Fitted | True | Abs. Error | Prop. Error
--- | --- | --- | --- | --- | ---
f[KA] | 0.3 | 0.274 | 0.3 | 2.62e-02 | 8.73%
f[V] | 20 | 18 | 20 | 2.00e+00 | 10.02%

### Compare Noise f[X]

No Noise f[X] values to compare.

### Compare Variance f[X]

No Variance f[X] values to compare.

## Outputs

### Fitted f[X] values (after fitting)

    f[KA] = 0.2738
    f[V] = 17.9968
    f[CL] = 3.2389

### Generated data .csv file

Synthetic Data:

  `synthetic_data.csv`

### Gen and Fit Summaries

- Gen: One Compartment Model with Absorption estimating KA and V (gen)

- Fit: One Compartment Model with Absorption estimating KA and V (fit)

## Inputs

### True f[X] values (for simulation)

    f[KA] = 0.3000
    f[V] = 20.0000
    f[CL] = 3.0000

### Starting f[X] values (before fitting)

    f[KA] = 0.3000
    f[V] = 20.0000
    f[CL] = 3.2389