Dear nmusers,
I'm working on the pharmacokinetics of an antiCD20 mAb; I suspect the
clearance of this mAb should be time dependent as rituximab’s clearance do.
I tried to model this behavior but I’m not sure if the ODEs are correct.
Please can you help? I share  part of the code.

$SUBROUTINE ADVAN13 TOL=9
$MODEL      COMP=(CENTRAL) COMP=(PERIPH1)
$PK
;---- STRUCTURAL PARAMETERS ------
TVCL1   = THETA(2)  ; system-nonspecific clearance
TVV1   = THETA(3)
TVQ    = THETA(4)
TVV2   = THETA(5)
TVKDES = THETA(6)  ; rate constant of the specific clearance decay
TVCL2  = THETA(7)  ; time varying clearance at time zero
;---- MU_TRANSFORMATION ------
MU_1   = LOG(TVCL1)
MU_2   = LOG(TVV1)
MU_3   = LOG(TVQ)
MU_4   = LOG(TVV2)
MU_5   = LOG(TVKDES)
MU_6   = LOG(TVCL2)
;---- INDIVIDUAL PARAMETERS ------
CL1  = EXP(MU_1+ETA(1))
V1   = EXP(MU_2+ETA(2))
Q    = EXP(MU_3+ETA(3))
V2   = EXP(MU_4+ETA(4))
KDES = EXP(MU_5+ETA(5))
CL2   = EXP(MU_6+ETA(6))
S1  = V1
;---- INITIAL CONDITIONS ------
A_0(1) = 0
A_0(2) = 0
CL2_TIME = CL2*EXP((-KDES)*(TIME))
CL_TOTAL = CL2_TIME + CL1 ; total clearance
;---- DES ------
$DES
  CONC   = A(1)/V1
  DADT(1) =-(CL_TOTAL/V1)*A(1)-(Q/V1)*A(1)+(Q/V2)*A(2)
  DADT(2) = (Q/V1)*A(1)-(Q/V2)*A(2)
;----$ERROR ------
CONC1 = A(1)/V1
IPRED=-3
IF(CONC1.GT.0) IPRED=LOG(CONC1)
W = THETA(1)
Y =  IPRED+W*EPS(1)
IRES=DV-IPRED
IWRES=IRES/W

Thank you,
Niurys

MSc Niurys de Castro Suárez
Assistant Professor of Pharmacometrics
Assistant Research
Pharmacy Department
Institute of Pharmacy and Food,
University of Havana
Cuba

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