Re: time-dependent clearance model
Xiaofeng,
It always amazes me how many parameters we try to estimate based on the
limited amount of data available. This is specially the case when a rather
complex event is taking place, such as autoinduction in this case, and that
based on sparse samples. In your case, there are a total of 15 parameters to
be estimated, which, as Katya points out seems to be way too many.
I would suggest that you start with the simplest model and then make it more
complex once you have the structural (i.e., your PK) model in place. Since
you have data only at pre- and post-induction, I think it is a good idea to
estimate different CL values for the two occasions. This way, you can use
the built-in library, with explicit solutions, which is normally faster than
trying to solve the equations in the $DES. Why not start with this and 1-2
ETAs on the CLs on days 1 and 7? If this simple model works, you can always
move ahead and add ETAs.
Toufigh
Quoted reply history
On 3/4/12 8:51 PM, "Wang, Xiaofeng" <[email protected]> wrote:
> Hi Katya,
>
> Thank you. I double checked the units. mcg for AMT, ng/mL for DV, and L for
> CL. I think there is no problem with the units. Since I am using
> log-transformed data, does that influence the units?
>
> I will try kicking in CLSS after day 1. For 6 observations per patients, what
> is the reasonable number of ETAs?
>
> Best,
> Xiaofeng
>
> From: [email protected] [[email protected]] on behalf of
> Ekaterina Gibiansky [[email protected]]
> Sent: Sunday, March 04, 2012 8:53 PM
> To: '[email protected]'
> Subject: Re: [NMusers] time-dependent clearance model
>
> Xiaofeng,
>
> Such a large difference suggests you may have a problem with units: check AMT,
> DV, and the parameter S2 for consistency.
> A couple of other points:
> - If the full induction is expected by day 7, and you only have data on day 1
> and after day 7, you may not be able to estimate KIN. You may be better off
> with the model where there is CLI on day 1 and CLSS on days >1 (And you will
> not need $DES for that model).
> - You have 6 observations per subject and you have 7 ETAs, it is too many,
> your model should be overparameterized (Check whether relative standard errors
> are large).
>
> Regards,
> Katya
> Ekaterina Gibiansky, Ph.D.
> CEO&CSO, QuantPharm LLC
> Web: www.quantpharm.com http://www.quantpharm.com
> Email: EGibiansky at quantpharm.com
>
>
> On 3/4/2012 5:33 PM, Wang, Xiaofeng wrote:
>> Dear nmusers,
>>
>> I have a drug with clearance autoinduction. I have sparse data(three
>> observations on day 1, two between day 7 and 14, and one on day 28). I am
>> trying to run a time-dependent clearance model. I tried FO and FOCEI, but I
>> always got unreasonable estimate for the initial clearance (CLI) which is
>> about 0.15 L/h (from knowledge of previous studies, the reasonable initial
>> clearance should be around 20 L/h and maximum induction occurs around day 7).
>> Could someone give me some advice about my model and my data? Thank you.
>>
>> Xiaofeng
>>
>> The CTL file:
>> $PROB
>> $INPUT C ID TIME AMT DV MDV EVID ADDL II CMT
>> $DATA C:/ IGNORE=C
>> $SUBROUTINES ADVAN6 TOL=6
>> $MODEL NCOMPARTMENTS=3
>> COMP=(DEPOT,DEFDOSE)
>> COMP=(CENTRAL,DEFOBS)
>> COMP=(PERIP)
>> $PK
>> CLI=THETA(1)*EXP(ETA(1))
>> CLSS=THETA(2)*EXP(ETA(2))
>> KIN=THETA(3)*EXP(ETA(3))
>> V2= THETA(4)*EXP(ETA(4))
>> Q= THETA(5)*EXP(ETA(5))
>> V3= THETA(6)*EXP(ETA(6))
>> KA= THETA(7)*EXP(ETA(7))
>> S2=V2
>> K23=Q/V2
>> K32=Q/V3
>>
>> $DES
>> CL=CLSS-(CLSS-CLI)*EXP(-KIN*T)
>> K20=CL/V2
>> DADT(1)=-KA*A(1)
>> DADT(2)=KA*A(1)+K32*A(3)-K23*A(2)-K20*A(2)
>> DADT(3)=K23*A(2)-K32*A(3)
>> $ERROR
>> IPRE=LOG(1)
>> IF(F.GT.0) IPRE=LOG(F)
>> Y = IPRE+EPS(1)
>> $EST METHOD=0 POSTHOC PRINT=10 MAX=9999 SIG=2 NOABORT MSFO=050.MSF
>> $THETA
>> (0, 20);[CLI]
>> (0, 65);[CLSS]
>> (0, 0.02) ;[KIN]
>> (0, 45);[V2]
>> (0, 5);[Q]
>> (0, 58);[V3]
>> (0, 0.2);[KA]
>>
>> $OMEGA .25 .25 .25 .25 .25 .25 .25
>> $SIGMA .2
>> $COV PRINT=E
>> $TABLE ID TIME DV CLI CLSS KIN V2 Q V3 KA IPRE CWRES ONEHEADER NOPRINT
>> FILE=050.TAB
>> $TABLE ID TIME CLI CLSS KIN V2 Q V3 KA FIRSTONLY NOAPPEND NOPRINT
>> FILE=050.PAR
>> $TABLE ID ETA1 ETA2 ETA3 ETA4 ETA5 ETA6 ETA7 FIRSTONLY NOAPPEND NOPRINT
>> FILE=050.ETA
>> $TABLE ID TIME CLI CLSS KIN V2 Q V3 KA FIRSTONLY NOAPPEND NOPRINT
>> FILE=PATAB050
>>
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