Dear Nmuser:
I would like to do a data simulation .The distributions of the drug
population pharmaockinetics were assumed to be normal.But the profile that I
have got is Tmax, Cmax,and AUC(the means and variances are already
known),instead of Ka,CL,and V. What the $PK modification should I have to do in
the model where the advan2 has been taken in the $subroutine.
F=1.
Any suggestion would be appreciated.
Yours,ye hong bo
--
工作和生活,都要开心的过.
你好,叶红波在此送上真挚的祝福.祝你开心,
叶红波
simluation Tmax Cmax AUC
5 messages
3 people
Latest: Apr 22, 2010
Hi,
It looks like you are trying to derive the unknown values of KA, CL/F and V/F from the known values of Tmax, Cmax and AUC (probably obtained from a non compartmental analysis).
If that is really the case, you will need to know the values of the half-life of elimination or the slope of elimination Ke to solve for Ka and V/F (the following solutions assume a one-compartment model with linear absorption and elimination):
CL/F = Dose/AUC
V/F = (CL/F)/Ke
KA = - (1/tmax)*ln[ exp(-ke*tmax) - (Cmax*V)/(F*dose) ]
If you don't know Ke, you will have to solve for V/F and Ka numerically, prior to your simulation.
Sebastien
yhb5442387 wrote:
> Dear Nmuser:
>
> I would like to do a data simulation .The distributions of the drug population pharmaockinetics were assumed to be normal.But the profile that I have got is Tmax, Cmax,and AUC(the means and variances are already known),instead of Ka,CL,and V. What the $PK modification should I have to do in the model where the advan2 has been taken in the $subroutine.
>
> F=1.
>
> Any suggestion would be appreciated.
>
> Yours,ye hong bo
>
> --
> ??????????,????????????.
> ????,????????????????????????.????????,
> ??????
Dear Sebastien:I have to say that my admiration to you is beyond the
words,because you have directly pointed out the radical essence.Could the ke
or the V/F,any one , be derived from the known Cmax,AUC,?As far as I have
leaned ,the equations are as follows:
AUC=Dose*F/Ke*V,Cmax=(F*Dose/V)*(exp(Ka*Tmax)-epx(Ke*Tmax)).After the
computation and transformation ,I was obstructed in the front of the following:
Ke-2.1*Ln(Ke)=3.18.something like that, well I could not remember the constant
number (2.1 e.g.) clearly. I am not able to solve that equation.So,I decide to
make some equations in the $PK,in which the CL V and Ka could all be expressed
as the component of Tmax ,Cmax,and AUC at the same time.The suggestion you have
made is usefull,but still a little problem :the Ke.Thank you for your generous
help.22 03:24:55,"Sebastien Bihorel" <[email protected]>Hi,
>
>It looks like you are trying to derive the unknown values of KA, CL/F
>and V/F from the known values of Tmax, Cmax and AUC (probably obtained
>from a non compartmental analysis).
>
>If that is really the case, you will need to know the values of the
>half-life of elimination or the slope of elimination Ke to solve for Ka
>and V/F (the following solutions assume a one-compartment model with
>linear absorption and elimination):
>
>CL/F = Dose/AUC
>
>V/F = (CL/F)/Ke
>
>KA = - (1/tmax)*ln[ exp(-ke*tmax) - (Cmax*V)/(F*dose) ]
>
>If you don't know Ke, you will have to solve for V/F and Ka numerically,
>prior to your simulation.
>
>Sebastien
>
>yhb5442387 wrote:
>>
>> Dear Nmuser:
>>
>> I would like to do a data simulation .The distributions of the drug
>> population pharmaockinetics were assumed to be normal.But the profile
>> that I have got is Tmax, Cmax,and AUC(the means and variances are
>> already known),instead of Ka,CL,and V. What the $PK modification
>> should I have to do in the model where the advan2 has been taken in
>> the $subroutine.
>>
>> F=1.
>>
>> Any suggestion would be appreciated.
>>
>> Yours,ye hong bo
>>
>>
>>
>>
>> --
>> 工作和生活,都要开心的过.
>> 你好,叶红波在此送上真挚的祝福.祝你开心,
>> 叶红波
>>
>>
--
工作和生活,都要开心的过.
你好,叶红波在此送上真挚的祝福.祝你开心,
叶红波
I am not sure how you ended up with:
Ke-2.1*Ln(Ke)=3.18
but you may want to look at the following link, which explain how the Lambert function (not available in NONMEM as far as I know) could help to solve for Ke:
http://www.mathhelpforum.com/math-help/pre-algebra-algebra/58685-solving-ln-x-kx.html.
The Lambert function should be available in Maltab, Mathematica, Maple, or similar tools.
Sebastien
yhb5442387 wrote:
> Dear Sebastien:
>
> I have to say that my admiration to you is beyond the words,because you have directly pointed out the radical essence.Could the ke or the V/F,any one , be derived from the known Cmax,AUC,?As far as I have leaned ,the equations are as follows: AUC=Dose*F/Ke*V,
>
> Cmax=(F*Dose/V)*(exp(Ka*Tmax)-epx(Ke*Tmax)).
> After the computation and transformation ,I was obstructed in the front of the
> following
> : Ke-2.1*Ln(Ke)=3.18.
> something like that, well I could not remember the constant number (2.1 e.g.)
> clearly. I am not able to solve that equation.
> So,I decide to make some equations in the $PK,in which the CL V and Ka could
> all be expressed as the component of Tmax ,Cmax,and AUC at the same time.The
> suggestion you have made is usefull,but still a little problem :the Ke.
> Thank you for your generous help.
> 22 03:24:55??"Sebastien Bihorel" <[email protected]
> <mailto:[email protected]>>Hi,
> >
>
> >It looks like you are trying to derive the unknown values of KA, CL/F >and V/F from the known values of Tmax, Cmax and AUC (probably obtained >from a non compartmental analysis).
>
> >
>
> >If that is really the case, you will need to know the values of the >half-life of elimination or the slope of elimination Ke to solve for Ka >and V/F (the following solutions assume a one-compartment model with >linear absorption and elimination):
>
> >
> >CL/F = Dose/AUC
> >
> >V/F = (CL/F)/Ke
> >
> >KA = - (1/tmax)*ln[ exp(-ke*tmax) - (Cmax*V)/(F*dose) ]
> >
>
> >If you don't know Ke, you will have to solve for V/F and Ka numerically, >prior to your simulation.
>
> >
> >Sebastien
> >
> >yhb5442387 wrote:
> >>
> >> Dear Nmuser:
> >>
>
> >> I would like to do a data simulation .The distributions of the drug >> population pharmaockinetics were assumed to be normal.But the profile >> that I have got is Tmax, Cmax,and AUC(the means and variances are >> already known),instead of Ka,CL,and V. What the $PK modification >> should I have to do in the model where the advan2 has been taken in >> the $subroutine.
>
> >>
> >> F=1.
> >>
> >> Any suggestion would be appreciated.
> >>
> >> Yours,ye hong bo
> >>
> >>
> >>
> >>
> >> --
> >> ??????????,????????????.
> >> ????,????????????????????????.????????,
> >> ??????
> >>
> >>
>
> --
> ??????????,????????????.
> ????,????????????????????????.????????,
> ??????
Hello,
Perhaps this paper might be useful:
C Dansirikul, M Choi, SB Duffull Computers in Biology and Medicine 35 (2005)
389 – 403 “Estimation of pharmacokinetic parameters from non-compartmental
variables using Microsoft Excel”.
Abstract:
***
This study was conducted to develop a method, termed ‘back analysis (BA)’, for
converting non-
compartmental variables to compartment model dependent pharmacokinetic
parameters for both one- and
two-compartment models. A Microsoft ExcelJ spreadsheet was implemented with the
use of Solver J and
visual basic functions. The performance of the BA method in estimating
pharmacokinetic parameter values
was evaluated by comparing the parameter values obtained to a standard
modelling software program, NON-
MEM, using simulated data. The results show that the BA method was reasonably
precise and provided
low bias in estimating fixed and random effect parameters for both one- and
two-compartment models. The
pharmacokinetic parameters estimated from the BA method were similar to those
of NONMEM estimation.
***
I have employed the technique myself and found it to very useful.
Regards,
David
Quoted reply history
On 23/04/10 1:19 AM, "yhb5442387" <[email protected]> wrote:
Dear Sebastien:
I have to say that my admiration to you is beyond the words,because you have
directly pointed out the radical essence.Could the ke or the V/F,any one , be
derived from the known Cmax,AUC,?As far as I have leaned ,the equations are as
follows:
AUC=Dose*F/Ke*V,
Cmax=(F*Dose/V)*(exp(Ka*Tmax)-epx(Ke*Tmax)).
After the computation and transformation ,I was obstructed in the front of the
following
: Ke-2.1*Ln(Ke)=3.18.
something like that, well I could not remember the constant number (2.1 e.g.)
clearly. I am not able to solve that equation.
So,I decide to make some equations in the $PK,in which the CL V and Ka could
all be expressed as the component of Tmax ,Cmax,and AUC at the same time.The
suggestion you have made is usefull,but still a little problem :the Ke.
Thank you for your generous help.
22 03:24:55,"Sebastien Bihorel" <[email protected]>Hi,
>
>It looks like you are trying to derive the unknown values of KA, CL/F
>and V/F from the known values of Tmax, Cmax and AUC (probably obtained
>from a non compartmental analysis).
>
>If that is really the case, you will need to know the values of the
>half-life of elimination or the slope of elimination Ke to solve for Ka
>and V/F (the following solutions assume a one-compartment model with
>linear absorption and elimination):
>
>CL/F = Dose/AUC
>
>V/F = (CL/F)/Ke
>
>KA = - (1/tmax)*ln[ exp(-ke*tmax) - (Cmax*V)/(F*dose) ]
>
>If you don't know Ke, you will have to solve for V/F and Ka numerically,
>prior to your simulation.
>
>Sebastien
>
>yhb5442387 wrote:
>>
>> Dear Nmuser:
>>
>> I would like to do a data simulation .The distributions of the drug
>> population pharmaockinetics were assumed to be normal.But the profile
>> that I have got is Tmax, Cmax,and AUC(the means and variances are
>> already known),instead of Ka,CL,and V. What the $PK modification
>> should I have to do in the model where the advan2 has been taken in
>> the $subroutine.
>>
>> F=1.
>>
>> Any suggestion would be appreciated.
>>
>> Yours,ye hong bo
>>
>>
>>
>>
>> --
>> 工作和生活,都要开心的过.
>> 你好,叶红波在此送上真挚的祝福.祝你开心,
>> 叶红波
>>
>>
--
工作和生活,都要开心的过.
你好,叶红波在此送上真挚的祝福.祝你开心,
叶红波
David Foster, PhD
Lecturer
School of Pharmacy and Medical Sciences
Playford Building
Room P4-08
City East Campus
University of South Australia
Adelaide SA 5000
CRICOS Provider Number: 00121B
Phone: +61 8 8302 2055
Fax: +61 8 8302 2389
Email: [email protected]
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