Ken Kowalski published a paper many years ago which I think he called a 
semicompartmental method. It was not developed as a population approach and 
only applies to single dose data but works really well under those conditions.  
 It was published in the Journal of Pharmacokinetics and Biopharmaceutics. 

Pete Bonate. 



> On Sep 5, 2015, at 4:37 PM, Leonid Gibiansky <[email protected]> 
> wrote:
> 
> Jos,
> 
> It is not very clear what exactly you need. If you can use modeling tools, 
> then linear interpolation + effect compartment + Emax model for the effect 
> compartment versus PD dependence should work. If you would like to use only 
> the raw data, no modeling, NCA style analysis, then the difference between 
> Tmax of PK and Tmax of PD could be used as a crude estimate of the delay. Or 
> you can use hysteresis curve for the PK curve with the time delay (with 
> linear interpolation) and PD, and change the time delay for PK part until the 
> hysteresis would disappear (using some metrics what does it mean "disappear"; 
> may be area inside the loop is small). The time shift that provides smallest 
> hysteresis area is the delay time.
> 
> Leonid
> 
> 
> 
> --------------------------------------
> Leonid Gibiansky, Ph.D.
> President, QuantPharm LLC
> web:    www.quantpharm.com
> e-mail: LGibiansky at quantpharm.com
> tel:    (301) 767 5566
> 
> 
> 
>> On 9/5/2015 2:44 PM, Lommerse, JPM (Jos) wrote:
>> Dear Samer,
>> 
>> Thank you for the reference.
>> 
>> However,  the method of Fuseau assumes
>> 
>> that a mathematical description for
>> 
>> the PK curve is available.
>> 
>> I would like to do without such a PK description
>> 
>> and directly use the PK observations, e.g. applying
>> 
>> linear interpolation between the PK data points.
>> 
>> Would that be feasible?
>> 
>> Thanks, Jos
>> 
>> *From:*Samer Mouksassi [mailto:[email protected]]
>> *Sent:* Saturday, September 05, 2015 8:34 PM
>> *To:* Lommerse, JPM (Jos); [email protected]
>> *Subject:* RE: Estimation of ke0 from raw data
>> 
>> Dear Jos,
>> 
>> Please have a look at the algorithm detailed in the appendix of this
>> publication:
>> 
>> Fuseau E, Sheiner LB.
>> 
>> Simultaneous modeling of pharmacokinetics and pharmacodynamics with a
>> nonparametric pharmacodynamic model.
>> 
>> Clin Pharmacol Ther. 1984 Jun;35(6):733-41.
>> 
>> Regards,
>> 
>> Samer
>> 
>> *From:* [email protected]
>> <mailto:[email protected]>
>> [mailto:[email protected]] *On Behalf Of *Lommerse, JPM (Jos)
>> *Sent:* Saturday, September 5, 2015 1:44 PM
>> *To:* [email protected] <mailto:[email protected]>
>> *Subject:* [NMusers] Estimation of ke0 from raw data
>> 
>> Hi,
>> 
>> I have a data set containing PK concentrations and PD effect.
>> 
>> When plotting PD as a function of PD a clear anti-clockwise hysteresis
>> 
>> plot appears.
>> 
>> I would like to get a (rough) estimate of the PD time delay w.r.t. the
>> PK without
>> 
>> using a compartmental description for the observed PK, even not using
>> 
>> a polynomal function that fits the PK. The assumption I make is that
>> 
>> all PD delay can be explained by the delay through an effect compartment.
>> 
>> I am wondering if methods exist that solely use the raw data to
>> 
>> calculate such time delays.
>> 
>> Thank you for any comment/suggestion,
>> 
>> Jos
>> 
>> *Jos Lommerse*
>> 
>> Modeler Consultant
>> 
>> /Quantitative Solutions BV/
>> 
>> /Molenweg 79/
>> 
>> /5349  AC Oss/
>> 
>> /The Netherlands/
>> 
>> [email protected] <mailto:[email protected]>
>> 
>> +31 412 211102
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