# Population PKPD with Emax dependent on AUCt

**URL:** <https://forum.certara.com/t/population-pkpd-with-emax-dependent-on-auct/3204>\
**Category:** NLME-NONMEM model comparisons\
**Created:** [July 20, 2017, 3:31pm UTC](https://forum.certara.com/t/population-pkpd-with-emax-dependent-on-auct/3204 "2017-07-20T15:31:43Z")\
**Posts on this page:** 1\
**Page:** 1

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**Author:** ![chrism](https://avatars.discourse-cdn.com/v4/letter/c/47e85d/32.png) [@chrism](https://forum.certara.com/u/chrism)\
**Post date:** [July 20, 2017, 3:31pm UTC](https://forum.certara.com/t/population-pkpd-with-emax-dependent-on-auct/3204/1 "2017-07-20T15:31:43Z")

</div>

This is Population PKPD model. The PK is a 2 compartment extravascular model with clearance parameterization, with multiple Doses (every 12 hours for 84 days). The PD is an Emax model with the effect depending on the cumulative AUC from t=0 to t=t. The Emax is found using the logistic function, ilogit. The overall model is fit using First Order Conditional Estimation (FOCE).

For model translation information, refer to the attached slide deck.

[attachment=3116:NONMEM\_NLME\_TRANSLATION\_PPK\_PD\_with\_Emax\_dependent\_on\_AUC\_FOCE.pdf]

The model is run in both NLME and NONMEM in the attached Phoenix project file.

[attachment=3117:2Comp\_Multiple\_Oral\_Dose\_PK\_with\_Emax\_dependent\_on\_AUC.phxproj]  
[NONMEM\_NLME\_TRANSLATION\_PPK\_PD\_with\_Emax\_dependent\_on\_AUC\_FOCE.pdf](https://forum.certara.com/uploads/short-url/7MTSJyi1l2J5yLjE4DidNHf4ReH.pdf) (791 KB)[2Comp\_Multiple\_Oral\_Dose\_PK\_with\_Emax\_dependent\_on\_AUC.phxproj](https://forum.certara.com/uploads/short-url/pnWBvNag2impfSnCHZT2oxHBFDe.phxproj) (1.59 MB)