:orphan: 





.. _emax_biomarker_tut:



emax_marker_model
#################

[Generated automatically as a Tutorial summary]

Model Description
*****************


:Name: emax_biomarker

:Title: emax_marker_model

:Author: PoPy for PK/PD

:Abstract: 

| An emax 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 estimated for each individual.
| The concentration in the central compartment influences the rate of removal of a biomarker (KOUT).

:Keywords: PD; Pharmacodynamics; one compartment model; KIN; KOUT; emax; biomarker

:Input Script: :download:`emax_biomarker.pyml <emax_biomarker.pyml>`

:Diagram: 


.. thumbnail:: compartment_diagram.svg
    :width: 200px


Comparison
**********



True objective value
====================


.. code-block:: pyml

    86.0288



Final fitted objective value
============================


.. code-block:: pyml

    193.0522



Compare Main f[X]
=================



.. csv-table:: 
    :file: fx_comp_main.csv
    :header-rows: 1


Compare Noise f[X]
==================



.. csv-table:: 
    :file: fx_comp_noise.csv
    :header-rows: 1


Compare Variance f[X]
=====================


No Variance f[X] values to compare.

Outputs
*******



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


.. code-block:: pyml

    f[KIN] = 87.8471
    f[KOUT] = 0.0490
    f[EMAX] = 27.3312
    f[E50] = 95.9468
    f[ANOISE] = 1.6065



Generated data .csv file
========================


:Synthetic Data: :download:`synthetic_data.csv <synthetic_data.csv>`


Gen and Fit Summaries
=====================


* Gen: :ref:`emax_biomarker_gen` (gen)
* Fit: :ref:`emax_biomarker_fit` (fit)

Inputs
******



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

.. code-block:: pyml

    f[KIN] = 10.0000
    f[KOUT] = 0.0500
    f[EMAX] = 80.0000
    f[E50] = 30.0000
    f[ANOISE] = 1.0000



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

.. code-block:: pyml

    f[KIN] = 15.0000
    f[KOUT] = 0.1000
    f[EMAX] = 90.0000
    f[E50] = 25.0000
    f[ANOISE] = 5.0000

