PKPD-simulations

4 messages 4 people Latest: Jul 25, 2013

PKPD-simulations

From: Markus Joerger Date: July 24, 2013 technical
dear NONMEM community, I built a PK-PD model (semiphysiological model for neutropenia) for a new IV topoisomerase inhibitor, and simulated different dosing regimens (model for D1+8 q3w below (101.ctl / NAMI-SIM-ANC--D1+8-q3w-12.5B.csv). I encountered the problem that feedback (FEEDB) on the bone marrow has to be increased to values >620, because otherwise it gives me: --------------------------------------------------------------------------------------------------------- DES SUBROUTINE: ERROR IN COMPUTATION ATTEMPT TO COMPUTE BASE**POWER WITH BASE<0. MESSAGE ISSUED FROM SIMULATION STEP ---------------------------------------------------------------------------------------------------------- Strange enough, the same model does not produce errors in the "estimation mode". If I increase the time (T) for the feedback to start working out (from 500 to >/= 620 in this case), simulation works out fine: IF(T.GE.500) THEN FEEDB=(BASE/A(9))**GAMMA ELSE FEEDB=1 ENDIF >>Time=500 is the time of first chemotherapy dosing (after the "system has been filled with neutrophils"). Subsequently, I added "categorical ANC-toxicity" according to the following coding: FLAG1=0 IF (T.GT.520.AND.ANC.LT.0.5) FLAG1=1 DADT(12)=FLAG1 TBTH=A(12) IF(A(12).GT.120) THEN DLT=1 ELSE DLT=0 ENDIF This produces "differential equations" errors at about n=150, meaning it is possible to simulate 150 patients, but not more. So far, I was not able to identify the problem, although the same coding worked just fine for a previous model of paclitaxel. Any help would be very welcome! thanks and best regards Markus MODEL-101 ;Project Name: namitecan ;Project ID: NO PROJECT DESCRIPTION $PROB RUN# 100D (NAMI) $INPUT C=DROP ID TIME AMT RATE DV CMT MDV EVID $DATA NAMI-SIM-ANC-D1+8-q3w-12.5B.CSV IGNORE=C $SUBROUTINES ADVAN6 TOL=2 $ABBREVIATED COMRES=1 $MODEL COMP=(CENTRAL,DEFDOSE) ;1 COMP=(PER1) ;2 COMP=(PER2) ;3 COMP=(AUC) ;4 COMP=(PROL) ;5 COMP=(TRANS1) ;6 COMP=(TRANS2) ;7 COMP=(TRANS3) ;8 COMP=(ANC) ;9 COMP=(NADIR) ;10 COMP=(TNAD) ;11 COMP=(TBTH) ;12 $PK " FIRST " COMMON/PRCOMG/IDUM1,IDUM2,IMAX,IDUM4,IDUM5 " INTEGER IDUM1,IDUM2,IMAX,IDUM4,IDUM5 " IMAX=100000000 IF(ICALL.EQ.4.AND.NEWIND.NE.2) THEN CALL RANDOM (2,R) CCL=90+12*R CALL RANDOM (3,R) BSL=5+0.5*R ENDIF TVCL=THETA(1)*(CCL/90)**THETA(7) CL=TVCL*EXP(ETA(1)) V1=THETA(2) Q1=THETA(3)*EXP(ETA(2)) V2=THETA(4)*EXP(ETA(3)) Q2=THETA(5)*EXP(ETA(4)) V3=THETA(6) K10=CL/V1 K12=Q1/V1 K21=Q1/V2 K13=Q2/V1 K31=Q2/V3 MTT=THETA(8)*EXP(ETA(5)) SLOPE=THETA(9)*EXP(ETA(6)) BASE=EXP(LOG(BSL)+THETA(10)*ETA(7)) GAMMA=THETA(11) V1=0.15 V2=38 V3=152 S1=V1 F5=BSL V5=1 V6=1 V7=1 V8=1 V9=1 TIJD=TIME-500 $DES C1=A(1)/S1 DADT(1)=-K12*A(1)+K21*A(2)-K13*A(1)+K31*A(3)-K10*A(1) DADT(2)=K12*A(1)-K21*A(2) DADT(3)=K13*A(1)-K31*A(3) DADT(4)=A(1)/S1 AUC=A(4) C9=A(9) ANC=A(9) IF(T.GE.520) THEN FEEDB=(BASE/A(9))**GAMMA ELSE FEEDB=1 ENDIF KTR=4/MTT KPROL=(KTR*FEEDB)-KTR*(SLOPE*C1) DADT(5)=KPROL*A(5)-KTR*A(5) DADT(6)=KTR*A(5)-KTR*A(6) DADT(7)=KTR*A(6)-KTR*A(7) DADT(8)=KTR*A(7)-KTR*A(8) DADT(9)=KTR*A(8)-KTR*A(9) IF(T.EQ.0) COM(1)=0 IF(COM(1).EQ.0.AND.DADT(9).LT.0.OR.T.LE.520) THEN DADT(10)=DADT(9) DADT(11)=1 ELSE DADT(10)=0 COM(1)=1 DADT(11)=0 ENDIF NADI=A(10) TNAD=A(11)-500 ;categorical ANC-toxicity FLAG1=0 IF (T.GT.520.AND.ANC.LT.0.5) FLAG1=1 DADT(12)=FLAG1 TBTH=A(12) IF(A(12).GT.120) THEN DLT=1 ELSE DLT=0 ENDIF $ERROR IF(DV.EQ.0) THEN IPRED=-3 ELSE IPRED=LOG(F) ENDIF Y=IPRED+THETA(10)*EPS(1) W=IPRED IRES=DV-IPRED IWRES=IRES/W $THETA 0.149 ;1 CL 0.15 ;2 V1 68.8 ;3 Q1 38 ;4 V2 0.654 ;5 Q2 152 ;6 V3 1.09 ;7 CLL>CL 115 ;8 MTT 0.888 ;9 SLOPE 0.689 ;10 ERR 0.222 ;11 GAMMA $OMEGA 0.567 ;1 CL 0.0975 ;2 Q1 0.169 ;3 V2 0.368 ;4 Q2 0.0257 ;[P] 5 ;MTT 0.232 ;[P] 6 ;SLOPE 1 ;[P] 7 ;ERR BSL $SIGMA 1 ;[P] PD $SIMULATION(48532) (2453) (19923) ONLYSIMULATION $TABLE ID TIJD IPRED PRED C9 CMT SLOPE AUC CCL BSL NADI TNAD COM(1) TBTH DLT NOPRINT ONEHEADER FILE=101.TAB NAMI-SIM-ANC--D1+8-q3w-12.5B.csv C NAMI C ID TIME AMT RATE DV CMT MDV EVID 1 0 1 1 0 5 1 4 1 500 26.5 13.3 0 1 1 1 1 500 0 9 1 2 1 524 0 9 1 2 1 548 0 9 1 2 1 572 0 9 1 2 1 596 0 9 1 2 1 620 0 9 1 2 1 644 0 9 1 2 1 668 26.5 13.3 0 1 1 1 1 668 0 9 1 2 1 692 0 9 1 2 1 716 0 9 1 2 1 740 0 9 1 2 1 764 0 9 1 2 1 788 0 9 1 2 1 812 0 9 1 2 1 836 0 9 1 2 1 860 0 9 1 2 1 884 0 9 1 2 1 908 0 9 1 2 1 932 0 9 1 2 1 956 0 9 1 2 1 980 0 9 1 2 1 1004 0 9 1 2 1 1028 0 9 1 2 1 1052 0 9 1 2 1 1076 0 9 1 2 1 1100 0 9 1 2 1 1124 0 9 1 2 1 1148 0 9 1 2 1 1172 0 9 1 2 1 1196 0 9 1 2 -- Markus Joerger MD-PhD Medical Oncology&Clinical Pharmacology Department of Internal Medicine Kantonsspital St. Gallen Switzerland [email protected] Phone: +41-765591070 Fax: +41-714946325

RE: PKPD-simulations

From: Erik Olofsen Date: July 24, 2013 technical
Hi Markus, If R is normally distributed, perhaps it is possible that CCL and/or BSL become less or equal than zero? Erik
Quoted reply history
________________________________ From: [email protected] [[email protected]] on behalf of markus joerger [[email protected]] Sent: Wednesday, July 24, 2013 9:29 PM To: NONMEM USERS Subject: [NMusers] PKPD-simulations dear NONMEM community, I built a PK-PD model (semiphysiological model for neutropenia) for a new IV topoisomerase inhibitor, and simulated different dosing regimens (model for D1+8 q3w below (101.ctl / NAMI-SIM-ANC--D1+8-q3w-12.5B.csv). I encountered the problem that feedback (FEEDB) on the bone marrow has to be increased to values >620, because otherwise it gives me: --------------------------------------------------------------------------------------------------------- DES SUBROUTINE: ERROR IN COMPUTATION ATTEMPT TO COMPUTE BASE**POWER WITH BASE<0. MESSAGE ISSUED FROM SIMULATION STEP ---------------------------------------------------------------------------------------------------------- Strange enough, the same model does not produce errors in the "estimation mode". If I increase the time (T) for the feedback to start working out (from 500 to >/= 620 in this case), simulation works out fine: http://T.GE.500) THEN FEEDB=(BASE/A(9))**GAMMA ELSE FEEDB=1 ENDIF >>Time=500 is the time of first chemotherapy dosing (after the "system has been >>filled with neutrophils"). Subsequently, I added "categorical ANC-toxicity" according to the following coding: FLAG1=0 IF (T.GT.520.AND.ANC.LT.0.5) FLAG1=1 DADT(12)=FLAG1 TBTH=A(12) IF(A(12).GT.120) THEN DLT=1 ELSE DLT=0 ENDIF This produces "differential equations" errors at about n=150, meaning it is possible to simulate 150 patients, but not more. So far, I was not able to identify the problem, although the same coding worked just fine for a previous model of paclitaxel. Any help would be very welcome! thanks and best regards Markus MODEL-101 ;Project Name: namitecan ;Project ID: NO PROJECT DESCRIPTION $PROB RUN# 100D (NAMI) $INPUT C=DROP ID TIME AMT RATE DV CMT MDV EVID $DATA NAMI-SIM-ANC-D1+8-q3w-12.5B.CSV IGNORE=C $SUBROUTINES ADVAN6 TOL=2 $ABBREVIATED COMRES=1 $MODEL COMP=(CENTRAL,DEFDOSE) ;1 COMP=(PER1) ;2 COMP=(PER2) ;3 COMP=(AUC) ;4 COMP=(PROL) ;5 COMP=(TRANS1) ;6 COMP=(TRANS2) ;7 COMP=(TRANS3) ;8 COMP=(ANC) ;9 COMP=(NADIR) ;10 COMP=(TNAD) ;11 COMP=(TBTH) ;12 $PK " FIRST " COMMON/PRCOMG/IDUM1,IDUM2,IMAX,IDUM4,IDUM5 " INTEGER IDUM1,IDUM2,IMAX,IDUM4,IDUM5 " IMAX=100000000 IF(ICALL.EQ.4.AND.NEWIND.NE.2) THEN CALL RANDOM (2,R) CCL=90+12*R CALL RANDOM (3,R) BSL=5+0.5*R ENDIF TVCL=THETA(1)*(CCL/90)**THETA(7) CL=TVCL*EXP(ETA(1)) V1=THETA(2) Q1=THETA(3)*EXP(ETA(2)) V2=THETA(4)*EXP(ETA(3)) Q2=THETA(5)*EXP(ETA(4)) V3=THETA(6) K10=CL/V1 K12=Q1/V1 K21=Q1/V2 K13=Q2/V1 K31=Q2/V3 MTT=THETA(8)*EXP(ETA(5)) SLOPE=THETA(9)*EXP(ETA(6)) BASE=EXP(LOG(BSL)+THETA(10)*ETA(7)) GAMMA=THETA(11) V1=0.15 V2=38 V3=152 S1=V1 F5=BSL V5=1 V6=1 V7=1 V8=1 V9=1 TIJD=TIME-500 $DES C1=A(1)/S1 DADT(1)=-K12*A(1)+K21*A(2)-K13*A(1)+K31*A(3)-K10*A(1) DADT(2)=K12*A(1)-K21*A(2) DADT(3)=K13*A(1)-K31*A(3) DADT(4)=A(1)/S1 AUC=A(4) C9=A(9) ANC=A(9) IF(T.GE.520) THEN FEEDB=(BASE/A(9))**GAMMA ELSE FEEDB=1 ENDIF KTR=4/MTT KPROL=(KTR*FEEDB)-KTR*(SLOPE*C1) DADT(5)=KPROL*A(5)-KTR*A(5) DADT(6)=KTR*A(5)-KTR*A(6) DADT(7)=KTR*A(6)-KTR*A(7) DADT(8)=KTR*A(7)-KTR*A(8) DADT(9)=KTR*A(8)-KTR*A(9) IF(T.EQ.0) COM(1)=0 IF(COM(1).EQ.0.AND.DADT(9).LT.0.OR.T.LE.520) THEN DADT(10)=DADT(9) DADT(11)=1 ELSE DADT(10)=0 COM(1)=1 DADT(11)=0 ENDIF NADI=A(10) TNAD=A(11)-500 ;categorical ANC-toxicity FLAG1=0 IF (T.GT.520.AND.ANC.LT.0.5) FLAG1=1 DADT(12)=FLAG1 TBTH=A(12) IF(A(12).GT.120) THEN DLT=1 ELSE DLT=0 ENDIF $ERROR IF(DV.EQ.0) THEN IPRED=-3 ELSE IPRED=LOG(F) ENDIF Y=IPRED+THETA(10)*EPS(1) W=IPRED IRES=DV-IPRED IWRES=IRES/W $THETA 0.149 ;1 CL 0.15 ;2 V1 68.8 ;3 Q1 38 ;4 V2 0.654 ;5 Q2 152 ;6 V3 1.09 ;7 CLL>CL 115 ;8 MTT 0.888 ;9 SLOPE 0.689 ;10 ERR 0.222 ;11 GAMMA $OMEGA 0.567 ;1 CL 0.0975 ;2 Q1 0.169 ;3 V2 0.368 ;4 Q2 0.0257 ;[P] 5 ;MTT 0.232 ;[P] 6 ;SLOPE 1 ;[P] 7 ;ERR BSL $SIGMA 1 ;[P] PD $SIMULATION(48532) (2453) (19923) ONLYSIMULATION $TABLE ID TIJD IPRED PRED C9 CMT SLOPE AUC CCL BSL NADI TNAD COM(1) TBTH DLT NOPRINT ONEHEADER FILE=101.TAB NAMI-SIM-ANC--D1+8-q3w-12.5B.csv C NAMI C ID TIME AMT RATE DV CMT MDV EVID 1 0 1 1 0 5 1 4 1 500 26.5 13.3 0 1 1 1 1 500 0 9 1 2 1 524 0 9 1 2 1 548 0 9 1 2 1 572 0 9 1 2 1 596 0 9 1 2 1 620 0 9 1 2 1 644 0 9 1 2 1 668 26.5 13.3 0 1 1 1 1 668 0 9 1 2 1 692 0 9 1 2 1 716 0 9 1 2 1 740 0 9 1 2 1 764 0 9 1 2 1 788 0 9 1 2 1 812 0 9 1 2 1 836 0 9 1 2 1 860 0 9 1 2 1 884 0 9 1 2 1 908 0 9 1 2 1 932 0 9 1 2 1 956 0 9 1 2 1 980 0 9 1 2 1 1004 0 9 1 2 1 1028 0 9 1 2 1 1052 0 9 1 2 1 1076 0 9 1 2 1 1100 0 9 1 2 1 1124 0 9 1 2 1 1148 0 9 1 2 1 1172 0 9 1 2 1 1196 0 9 1 2 -- Markus Joerger MD-PhD Medical Oncology&Clinical Pharmacology Department of Internal Medicine Kantonsspital St. Gallen Switzerland [email protected]<mailto:[email protected]> Phone: +41-765591070 Fax: +41-714946325

Re: PKPD-simulations

From: Leonid Gibiansky Date: July 24, 2013 technical
Hi Markus, Have you tried to defend against BASE**power error when A(9)=0 ? I know it should not be 0 but just in case: IF(A(9).GT.0.AND.T.GE.500) THEN FEEDB=(BASE/A(9))**GAMMA ELSE FEEDB=1 ENDIF Also, switch to ADVAN13, it is much more stable. TOL=2 is way too small. Should be at least 6 (if at all possible: could be possible with ADVAN13) Leonid -------------------------------------- Leonid Gibiansky, Ph.D. President, QuantPharm LLC web: www.quantpharm.com e-mail: LGibiansky at quantpharm.com tel: (301) 767 5566
Quoted reply history
On 7/24/2013 3:29 PM, markus joerger wrote: > dear NONMEM community, > > I built a PK-PD model (semiphysiological model for neutropenia) for a > new IV topoisomerase inhibitor, and simulated different dosing regimens > (model for D1+8 q3w below (101.ctl / NAMI-SIM-ANC--D1+8-q3w-12.5B.csv). > I encountered the problem that feedback (FEEDB) on the bone marrow has > to be increased to values >620, because otherwise it gives me: > > --------------------------------------------------------------------------------------------------------- > DES SUBROUTINE: ERROR IN COMPUTATION > ATTEMPT TO COMPUTE BASE**POWER WITH BASE<0. > MESSAGE ISSUED FROM SIMULATION STEP > ---------------------------------------------------------------------------------------------------------- > > Strange enough, the same model does not produce errors in the > "estimation mode". > If I increase the time (T) for the feedback to start working out (from > 500 to >/= 620 in this case), simulation works out fine: > > IF(T.GE http://T.GE.500) THEN > FEEDB=(BASE/A(9))**GAMMA > ELSE > FEEDB=1 > ENDIF > > >>Time=500 is the time of first chemotherapy dosing (after the "system > has been filled with neutrophils"). > > Subsequently, I added "categorical ANC-toxicity" according to the > following coding: > > FLAG1=0 > IF (T.GT.520.AND.ANC.LT.0.5) FLAG1=1 > DADT(12)=FLAG1 > TBTH=A(12) > IF(A(12).GT.120) THEN > DLT=1 > ELSE > DLT=0 > ENDIF > > This produces "differential equations" errors at about n=150, meaning it > is possible to simulate 150 patients, but not more. So far, I was not > able to identify the problem, although the same coding worked just fine > for a previous model of paclitaxel. Any help would be very welcome! > > thanks and best regards > > Markus > > MODEL-101 > ;Project Name: namitecan > ;Project ID: NO PROJECT DESCRIPTION > > $PROB RUN# 100D (NAMI) > $INPUT C=DROP ID TIME AMT RATE DV CMT > MDV EVID > > $DATA NAMI-SIM-ANC-D1+8-q3w-12.5B.CSV IGNORE=C > $SUBROUTINES ADVAN6 TOL=2 > $ABBREVIATED COMRES=1 > $MODEL COMP=(CENTRAL,DEFDOSE) ;1 > COMP=(PER1) ;2 > COMP=(PER2) ;3 > COMP=(AUC) ;4 > COMP=(PROL) ;5 > COMP=(TRANS1) ;6 > COMP=(TRANS2) ;7 > COMP=(TRANS3) ;8 > COMP=(ANC) ;9 > COMP=(NADIR) ;10 > COMP=(TNAD) ;11 > COMP=(TBTH) ;12 > > $PK > " FIRST > " COMMON/PRCOMG/IDUM1,IDUM2,IMAX,IDUM4,IDUM5 > " INTEGER IDUM1,IDUM2,IMAX,IDUM4,IDUM5 > " IMAX=100000000 > > IF(ICALL.EQ.4.AND.NEWIND.NE.2) THEN > CALL RANDOM (2,R) > CCL=90+12*R > CALL RANDOM (3,R) > BSL=5+0.5*R > ENDIF > > TVCL=THETA(1)*(CCL/90)**THETA(7) > CL=TVCL*EXP(ETA(1)) > V1=THETA(2) > Q1=THETA(3)*EXP(ETA(2)) > V2=THETA(4)*EXP(ETA(3)) > Q2=THETA(5)*EXP(ETA(4)) > V3=THETA(6) > K10=CL/V1 > K12=Q1/V1 > K21=Q1/V2 > K13=Q2/V1 > K31=Q2/V3 > > MTT=THETA(8)*EXP(ETA(5)) > SLOPE=THETA(9)*EXP(ETA(6)) > BASE=EXP(LOG(BSL)+THETA(10)*ETA(7)) > GAMMA=THETA(11) > > V1=0.15 > V2=38 > V3=152 > S1=V1 > F5=BSL > V5=1 > V6=1 > V7=1 > V8=1 > V9=1 > TIJD=TIME-500 > > $DES > C1=A(1)/S1 > DADT(1)=-K12*A(1)+K21*A(2)-K13*A(1)+K31*A(3)-K10*A(1) > DADT(2)=K12*A(1)-K21*A(2) > DADT(3)=K13*A(1)-K31*A(3) > DADT(4)=A(1)/S1 > AUC=A(4) > C9=A(9) > ANC=A(9) > > IF(T.GE.520) THEN > FEEDB=(BASE/A(9))**GAMMA > ELSE > FEEDB=1 > ENDIF > > KTR=4/MTT > KPROL=(KTR*FEEDB)-KTR*(SLOPE*C1) > DADT(5)=KPROL*A(5)-KTR*A(5) > DADT(6)=KTR*A(5)-KTR*A(6) > DADT(7)=KTR*A(6)-KTR*A(7) > DADT(8)=KTR*A(7)-KTR*A(8) > DADT(9)=KTR*A(8)-KTR*A(9) > > IF(T.EQ.0) COM(1)=0 > > IF(COM(1).EQ.0.AND.DADT(9).LT.0.OR.T.LE.520) THEN > DADT(10)=DADT(9) > DADT(11)=1 > ELSE > DADT(10)=0 > COM(1)=1 > DADT(11)=0 > ENDIF > > NADI=A(10) > TNAD=A(11)-500 > > ;categorical ANC-toxicity > > FLAG1=0 > IF (T.GT.520.AND.ANC.LT.0.5) FLAG1=1 > DADT(12)=FLAG1 > TBTH=A(12) > IF(A(12).GT.120) THEN > DLT=1 > ELSE > DLT=0 > ENDIF > > $ERROR > IF(DV.EQ.0) THEN > IPRED=-3 > ELSE > IPRED=LOG(F) > ENDIF > Y=IPRED+THETA(10)*EPS(1) > W=IPRED > IRES=DV-IPRED > IWRES=IRES/W > > $THETA > 0.149 ;1 CL > 0.15 ;2 V1 > 68.8 ;3 Q1 > 38 ;4 V2 > 0.654 ;5 Q2 > 152 ;6 V3 > 1.09 ;7 CLL>CL > 115 ;8 MTT > 0.888 ;9 SLOPE > 0.689 ;10 ERR > 0.222 ;11 GAMMA > > $OMEGA > 0.567 ;1 CL > 0.0975 ;2 Q1 > 0.169 ;3 V2 > 0.368 ;4 Q2 > 0.0257 ;[P] 5 ;MTT > 0.232 ;[P] 6 ;SLOPE > 1 ;[P] 7 ;ERR BSL > > $SIGMA > 1 ;[P] PD > > $SIMULATION(48532) (2453) (19923) ONLYSIMULATION > > $TABLE ID TIJD IPRED PRED C9 CMT SLOPE AUC CCL BSL > NADI TNAD COM(1) TBTH DLT NOPRINT ONEHEADER FILE=101.TAB > > NAMI-SIM-ANC--D1+8-q3w-12.5B.csv > C NAMI > > C ID TIME AMT RATE DV CMT MDV EVID > > 1 0 1 1 0 5 1 4 > > 1 500 26.5 13.3 0 1 1 1 > > 1 500 > > 0 9 1 2 > > 1 524 > > 0 9 1 2 > > 1 548 > > 0 9 1 2 > > 1 572 > > 0 9 1 2 > > 1 596 > > 0 9 1 2 > > 1 620 > > 0 9 1 2 > > 1 644 > > 0 9 1 2 > > 1 668 26.5 13.3 0 1 1 1 > > 1 668 > > 0 9 1 2 > > 1 692 > > 0 9 1 2 > > 1 716 > > 0 9 1 2 > > 1 740 > > 0 9 1 2 > > 1 764 > > 0 9 1 2 > > 1 788 > > 0 9 1 2 > > 1 812 > > 0 9 1 2 > > 1 836 > > 0 9 1 2 > > 1 860 > > 0 9 1 2 > > 1 884 > > 0 9 1 2 > > 1 908 > > 0 9 1 2 > > 1 932 > > 0 9 1 2 > > 1 956 > > 0 9 1 2 > > 1 980 > > 0 9 1 2 > > 1 1004 > > 0 9 1 2 > > 1 1028 > > 0 9 1 2 > > 1 1052 > > 0 9 1 2 > > 1 1076 > > 0 9 1 2 > > 1 1100 > > 0 9 1 2 > > 1 1124 > > 0 9 1 2 > > 1 1148 > > 0 9 1 2 > > 1 1172 > > 0 9 1 2 > > 1 1196 > > 0 9 1 2 > > -- > Markus Joerger MD-PhD > Medical Oncology&Clinical Pharmacology > Department of Internal Medicine > Kantonsspital > St. Gallen > Switzerland > [email protected] <mailto:[email protected]> > Phone: +41-765591070 > Fax: +41-714946325

Re: PKPD-simulations

From: Juan Jose Perez Ruixo Date: July 25, 2013 technical
Markus, Can you indicate us how did you define the initial conditions of the system? Best Regards, Juanjo.
Quoted reply history
On 25/07/2013, at 12:37, "[email protected]<mailto:[email protected]>" <[email protected]<mailto:[email protected]>> wrote: Hi Markus, If R is normally distributed, perhaps it is possible that CCL and/or BSL become less or equal than zero? Erik ________________________________ From: [email protected]<mailto:[email protected]> [[email protected]<mailto:[email protected]>] on behalf of markus joerger [[email protected]<mailto:[email protected]>] Sent: Wednesday, July 24, 2013 9:29 PM To: NONMEM USERS Subject: [NMusers] PKPD-simulations dear NONMEM community, I built a PK-PD model (semiphysiological model for neutropenia) for a new IV topoisomerase inhibitor, and simulated different dosing regimens (model for D1+8 q3w below (101.ctl / NAMI-SIM-ANC--D1+8-q3w-12.5B.csv). I encountered the problem that feedback (FEEDB) on the bone marrow has to be increased to values >620, because otherwise it gives me: --------------------------------------------------------------------------------------------------------- DES SUBROUTINE: ERROR IN COMPUTATION ATTEMPT TO COMPUTE BASE**POWER WITH BASE<0. MESSAGE ISSUED FROM SIMULATION STEP ---------------------------------------------------------------------------------------------------------- Strange enough, the same model does not produce errors in the "estimation mode". If I increase the time (T) for the feedback to start working out (from 500 to >/= 620 in this case), simulation works out fine: http://T.GE.500) THEN FEEDB=(BASE/A(9))**GAMMA ELSE FEEDB=1 ENDIF >>Time=500 is the time of first chemotherapy dosing (after the "system has been >>filled with neutrophils"). Subsequently, I added "categorical ANC-toxicity" according to the following coding: FLAG1=0 IF (T.GT.520.AND.ANC.LT.0.5) FLAG1=1 DADT(12)=FLAG1 TBTH=A(12) IF(A(12).GT.120) THEN DLT=1 ELSE DLT=0 ENDIF This produces "differential equations" errors at about n=150, meaning it is possible to simulate 150 patients, but not more. So far, I was not able to identify the problem, although the same coding worked just fine for a previous model of paclitaxel. Any help would be very welcome! thanks and best regards Markus MODEL-101 ;Project Name: namitecan ;Project ID: NO PROJECT DESCRIPTION $PROB RUN# 100D (NAMI) $INPUT C=DROP ID TIME AMT RATE DV CMT MDV EVID $DATA NAMI-SIM-ANC-D1+8-q3w-12.5B.CSV IGNORE=C $SUBROUTINES ADVAN6 TOL=2 $ABBREVIATED COMRES=1 $MODEL COMP=(CENTRAL,DEFDOSE) ;1 COMP=(PER1) ;2 COMP=(PER2) ;3 COMP=(AUC) ;4 COMP=(PROL) ;5 COMP=(TRANS1) ;6 COMP=(TRANS2) ;7 COMP=(TRANS3) ;8 COMP=(ANC) ;9 COMP=(NADIR) ;10 COMP=(TNAD) ;11 COMP=(TBTH) ;12 $PK " FIRST " COMMON/PRCOMG/IDUM1,IDUM2,IMAX,IDUM4,IDUM5 " INTEGER IDUM1,IDUM2,IMAX,IDUM4,IDUM5 " IMAX=100000000 IF(ICALL.EQ.4.AND.NEWIND.NE.2) THEN CALL RANDOM (2,R) CCL=90+12*R CALL RANDOM (3,R) BSL=5+0.5*R ENDIF TVCL=THETA(1)*(CCL/90)**THETA(7) CL=TVCL*EXP(ETA(1)) V1=THETA(2) Q1=THETA(3)*EXP(ETA(2)) V2=THETA(4)*EXP(ETA(3)) Q2=THETA(5)*EXP(ETA(4)) V3=THETA(6) K10=CL/V1 K12=Q1/V1 K21=Q1/V2 K13=Q2/V1 K31=Q2/V3 MTT=THETA(8)*EXP(ETA(5)) SLOPE=THETA(9)*EXP(ETA(6)) BASE=EXP(LOG(BSL)+THETA(10)*ETA(7)) GAMMA=THETA(11) V1=0.15 V2=38 V3=152 S1=V1 F5=BSL V5=1 V6=1 V7=1 V8=1 V9=1 TIJD=TIME-500 $DES C1=A(1)/S1 DADT(1)=-K12*A(1)+K21*A(2)-K13*A(1)+K31*A(3)-K10*A(1) DADT(2)=K12*A(1)-K21*A(2) DADT(3)=K13*A(1)-K31*A(3) DADT(4)=A(1)/S1 AUC=A(4) C9=A(9) ANC=A(9) IF(T.GE.520) THEN FEEDB=(BASE/A(9))**GAMMA ELSE FEEDB=1 ENDIF KTR=4/MTT KPROL=(KTR*FEEDB)-KTR*(SLOPE*C1) DADT(5)=KPROL*A(5)-KTR*A(5) DADT(6)=KTR*A(5)-KTR*A(6) DADT(7)=KTR*A(6)-KTR*A(7) DADT(8)=KTR*A(7)-KTR*A(8) DADT(9)=KTR*A(8)-KTR*A(9) IF(T.EQ.0) COM(1)=0 IF(COM(1).EQ.0.AND.DADT(9).LT.0.OR.T.LE.520) THEN DADT(10)=DADT(9) DADT(11)=1 ELSE DADT(10)=0 COM(1)=1 DADT(11)=0 ENDIF NADI=A(10) TNAD=A(11)-500 ;categorical ANC-toxicity FLAG1=0 IF (T.GT.520.AND.ANC.LT.0.5) FLAG1=1 DADT(12)=FLAG1 TBTH=A(12) IF(A(12).GT.120) THEN DLT=1 ELSE DLT=0 ENDIF $ERROR IF(DV.EQ.0) THEN IPRED=-3 ELSE IPRED=LOG(F) ENDIF Y=IPRED+THETA(10)*EPS(1) W=IPRED IRES=DV-IPRED IWRES=IRES/W $THETA 0.149 ;1 CL 0.15 ;2 V1 68.8 ;3 Q1 38 ;4 V2 0.654 ;5 Q2 152 ;6 V3 1.09 ;7 CLL>CL 115 ;8 MTT 0.888 ;9 SLOPE 0.689 ;10 ERR 0.222 ;11 GAMMA $OMEGA 0.567 ;1 CL 0.0975 ;2 Q1 0.169 ;3 V2 0.368 ;4 Q2 0.0257 ;[P] 5 ;MTT 0.232 ;[P] 6 ;SLOPE 1 ;[P] 7 ;ERR BSL $SIGMA 1 ;[P] PD $SIMULATION(48532) (2453) (19923) ONLYSIMULATION $TABLE ID TIJD IPRED PRED C9 CMT SLOPE AUC CCL BSL NADI TNAD COM(1) TBTH DLT NOPRINT ONEHEADER FILE=101.TAB NAMI-SIM-ANC--D1+8-q3w-12.5B.csv C NAMI C ID TIME AMT RATE DV CMT MDV EVID 1 0 1 1 0 5 1 4 1 500 26.5 13.3 0 1 1 1 1 500 0 9 1 2 1 524 0 9 1 2 1 548 0 9 1 2 1 572 0 9 1 2 1 596 0 9 1 2 1 620 0 9 1 2 1 644 0 9 1 2 1 668 26.5 13.3 0 1 1 1 1 668 0 9 1 2 1 692 0 9 1 2 1 716 0 9 1 2 1 740 0 9 1 2 1 764 0 9 1 2 1 788 0 9 1 2 1 812 0 9 1 2 1 836 0 9 1 2 1 860 0 9 1 2 1 884 0 9 1 2 1 908 0 9 1 2 1 932 0 9 1 2 1 956 0 9 1 2 1 980 0 9 1 2 1 1004 0 9 1 2 1 1028 0 9 1 2 1 1052 0 9 1 2 1 1076 0 9 1 2 1 1100 0 9 1 2 1 1124 0 9 1 2 1 1148 0 9 1 2 1 1172 0 9 1 2 1 1196 0 9 1 2 -- Markus Joerger MD-PhD Medical Oncology&Clinical Pharmacology Department of Internal Medicine Kantonsspital St. Gallen Switzerland [email protected]<mailto:[email protected]> Phone: +41-765591070 Fax: +41-714946325