Transduction
model
The new therapeutic
agent, Trandosyn (Dose = 100 mg), was administered to rats and the following
pharmacokinetic and pharmacodynamic data were generated. The Response
data reflect activities of an enzyme responsible for lipid metabolism
in the liver.
Propose a PK/PD model and provide estimates of suitable model parameters.

WinNonlin
code: Transduction model
MODEL
COMMANDS
NFUNCTIONS 1
NDERIVATIVES 5
NPARAMETERS 3
PNAMES 'EMAX', 'EC50', 'TAU'
END
TEMPORARY
T=X
E0=0.09
D=100
V=2.41
CL=1.3
C=D/V*EXP(-CL/V*T)
END
START
Z(1) = 0
Z(2) = 0
Z(3) = 0
Z(4) = 0
Z(5) = 0
END
DIFFERENTIAL
DZ(1) = 1/TAU*(EMAX*C/(EC50+C)-Z(1))
DZ(2) = (Z(1)-Z(2))/TAU
DZ(3) = (Z(2)-Z(3))/TAU
DZ(4) = (Z(3)-Z(4))/TAU
DZ(5) = (Z(4)-Z(5))/TAU
END
FUNCTION 1
F= E0+Z(5)
END
EOM
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