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. Author manuscript; available in PMC: 2016 Dec 10.
Published in final edited form as: J Control Release. 2015 Sep 28;219:644–651. doi: 10.1016/j.jconrel.2015.09.052

Table 1.

Some deconvolution techniques.

Deconvolution Technique Function
Model-Dependent Wagner-Nelson (one-compartment model)
Ft=Ct+Ke0tCdtKe0Cdt
Loo-Riegelman (two-compartment model)
Ft=Ct+K100tCdt+(Xp)t/VcK100Cdt
Mechanistic, Physiologically-based
Model-Independent Numerical
C(t)=0tCδ(t-u)rabs(u)du

Ct: the plasma concentration at time t; Ke: the elimination rate constant; (Xp)/t: the amount of drug in the peripheral compartment as a function of time; Vc: the apparent volume of the central compartment; K10: the apparent first order elimination rate constant of the drug from the central compartment estimated from an intravenous study of the same subject; rabs: the absorption rate time course; Cδ: the concentration time profile.