Dear Kok-Yong Seng,

Is the drug undergoing presystemic metabolism after oral administration? This 
might explain some differences in metabolic rate constants before and after 
oral administration. If your drug undergoes presystemic metabolism, metabolite 
concentrations may appear earlier in the systemic circulation than you would 
have expected based on your current PK model. A work-around is to use a more 
mechanistic-based model that incorporates both systemic and presystemic 
metabolism, e.g. as described by Levi et al in J Pharmacokinet Pharmacodyn. 
2007 Feb;34(1):5-21..

Cheers,
Rob ter Heine

---
R. ter Heine, PhD, PharmD
Hospital Pharmacist / Clinical Scientist / Clinical Pharmacologist
Meander Medical Center, Amersfoort, The Netherlands
T: +31-33-8502335
E: [email protected]

-----Oorspronkelijk bericht-----
Van: [email protected] [mailto:[email protected]] Namens 
Seng Kok Yong
Verzonden: maandag 17 februari 2014 9:22
Aan: [email protected]
Onderwerp: [NMusers] integrated parent-metabolite PK model from sequential iv 
and oral doses of parent drug

Dear fellow NMusers,

I'm trying to develop an integrated parent-metabolite PK model based on the 
plasma concentrations obtained from 40 subjects after sequential iv and oral 
administrations of the parent drug.  The iv bolus was injected at time = 0 
while the oral dose was administered at time = 4h.  The most stable model so 
far is a two-compartment model for the parent drug (with first-order 
absorption) linked to a one-compartment metabolite model.  However, in order to 
obtain reasonable parameter estimates and adequate goodness-of-fit plots, I 
needed to specify a "switch" in rate constant values and scaling factors at 
time = 4h (oral administration time), as defined in the control stream below.  
Without, this "switch", there was a very poor match between the measured and 
predicted metabolite concentration values.

May I ask if my code below is correct for modelling the data at hand (assuming 
the abovementioned structural model)?  If not, would you be able to suggest 
possible areas of model improvement?

Thank you and best wishes,
Kok-Yong SENG, PhD
DSO National Laboratories
Singapore
______________________

$PROB RUN# 1 parent-met data (nmol/L vs h) $INPUT ID NTIM TIME DV AMT ORAL CMT 
EVID MDV $DATA DATA.CSV IGNORE=C

$SUBROUTINE ADVAN5

$MODEL
   NCOMP=4
   COMP=(DEPOT)
   COMP=(CENTRAL, DEFDOSE)
   COMP=(METAB1)
   COMP=(PERIPM)

$PK
   IIVCL  = ETA(1)
   IIVF1  = ETA(2)
   IIVKA  = ETA(3)
   IIVCL1  = ETA(4)
   IIVV3   = ETA(5)
   KA  = THETA(1)*EXP(IIVKA)
   CL  = THETA(2)*EXP(IIVCL)
   V2  = THETA(3)
   Q   = THETA(4)
   V4  = THETA(5)
   F1  = THETA(6)*EXP(IIVF1)

   FMET = 0.6

   CL1 = THETA(7)*EXP(IIVCL1)
   V3  = THETA(8)*EXP(IIVV3)

   IF (TIME.LE.4) THEN

   S2  = V2
   S3  = V3
   K12 = KA
   K20 = (1-FMET)*(CL/V2)
   K23 = FMET*(CL/V2)
   K24 = Q/V2
   K42 = Q/V4
   K30 = CL1/V3

   ELSE

   S2  = V2/F1
   S3  = V3
   K12 = KA
   K20 = (1-FMET)*((CL/F1)/(V2/F1))
   K23 = FMET*((CL/F1)/(V2/F1))
   K24 = (Q/F1)/(V2/F1)
   K42 = (Q/F1)/(V4/F1)
   K30 = CL1/V3

   ENDIF

$ERROR ;ONLY OBSERVATIONS)

   IF (AMT.GT.0) TDOS=TIME
   TAD=TIME-TDOS

   IF (F.EQ.0) THEN
     IPRED=0
   ELSE
     IPRED=LOG(F)
   ENDIF
   IRES=DV-IPRED

   IF(CMT.EQ.2) W2 = SQRT(THETA(9)**2 )
   IF(CMT.EQ.3) W3 = SQRT(THETA(10)**2 )
   IF(CMT.EQ.2) IWRES=IRES/W2
   IF(CMT.EQ.3) IWRES=IRES/W3
   IF(CMT.EQ.2) Y = IPRED + (W2)*EPS(1) ;
   IF(CMT.EQ.3) Y = IPRED + (W3)*EPS(2)

$THETA
$OMEGA
$SIGMA
1 FIX
1 FIX

$EST METHOD=1 INTER MAXEVAL=9999 PRINT=1 POSTHOC NOABORT MSFO=1.MSF SIGL=9 
NSIG=3 $COV UNCONDITIONAL PRINT=E


:::::DATA.csv::::: (for first two subjects)
C       Data Desc: parent-met data (dose in nmoles; time in hr; conc in nmol/L) 
                                                
CID     NTIM    TIME    DV      AMT     ORAL    CMT     EVID    MDV
101     0       0       0       2302.308        .       2       1       1
101     0       0       0       2302.308        .       2       1       1
101     0.25    0.25    5.430537181     .       .       2       0       0
101     0.25    0.25    0.741358053     .       .       3       0       0
101     0.5     0.5     4.799111134     .       .       2       0       0
101     0.5     0.5     0.854669023     .       .       3       0       0
101     0.75    0.75    4.55617397      .       .       2       0       0
101     0.75    0.75    0.691490788     .       .       3       0       0
101     1       1       4.106244674     .       .       2       0       0
101     1       1       0.589508916     .       .       3       0       0
101     1.5     1.5     3.822383616     .       .       2       0       0
101     1.5     1.5     0.409972825     .       .       3       0       0
101     2       2       3.652067835     .       .       2       0       0
101     2       2       0.284763877     .       .       3       0       0
101     2.5     2.5     3.346291176     .       .       2       0       0
101     2.5     2.5     0.08938465      .       .       3       0       0
101     3       3       3.121642304     .       .       2       0       0
101     3       3       -0.090114893    .       .       3       0       0
101     3.5     3.5     3.278754426     .       .       2       0       0
101     3.5     3.5     -0.108362666    .       .       3       0       0
101     4       4       .       4604.619        1       1       1       1
101     4       4       .       4604.619        1       1       1       1
101     4       4       3.44923847      .       1       2       0       0
101     4       4       -0.071713115    .       1       3       0       0
101     4.25    4.25    3.597385022     .       1       2       0       0
101     4.25    4.25    -0.048409056    .       1       3       0       0
101     4.5     4.5     3.716095668     .       1       2       0       0
101     4.5     4.5     1.175372119     .       1       3       0       0
101     4.75    4.75    4.154635181     .       1       2       0       0
101     4.75    4.75    2.212447576     .       1       3       0       0
101     5       5       4.08855346      .       1       2       0       0
101     5       5       2.253719503     .       1       3       0       0
101     5.5     5.5     3.726503911     .       1       2       0       0
101     5.5     5.5     1.86297201      .       1       3       0       0
101     6       6       3.52409438      .       1       2       0       0
101     6       6       1.48545147      .       1       3       0       0
101     7       7       -0.791943487    .       1       3       0       0
101     8       8       2.861295756     .       1       2       0       0
101     8       8       0.195365359     .       1       3       0       0
101     10      10      2.960551062     .       1       2       0       0
101     10      10      -0.709552271    .       1       3       0       0
101     12      12      2.164593204     .       1       2       0       0
101     12      12      -0.857712813    .       1       3       0       0
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