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Purpose.
This study was aimed to develop a family of compartmental models to describe in a strictly quantitative manner the transdermal iontophoretic transport of drugs in vivo. The new models are based on previously proposed compartmental models for the transport in vitro.
Methods.
The novel in vivo model considers two separate models to describe the input into the systemic circulation: a) constant input and b) time-variant input. Analogous to the in vitro models, the in vivo models contain four parameters: 1) kinetic lag time (t L ), 2) steady-state flux during iontophoresis (J ss ), 3) skin release rate constant (K R ), and 4) passive flux in the post-iontophoretic period (J pas ). The elimination from the systemic circulation is described by a) the one-compartment and b) the two-compartment pharmacokinetic models. The models were applied to characterize the observed plasma concentration vs. time data following single-dose iontophoretic delivery of growth hormone-releasing factor (GRF) and R-apomorphine. Moreover, the models were also used to simulate the observed plasma concentration vs. time profiles following a two-dose transdermal iontophoretic administration of alniditan.
Results.
The time-variant input models were superior to the constant input models and appropriately converged to the observed data of GRF and R-apomorphine allowing the estimation of J ss , K R , and J pas . In most cases, the values of t L were negligible. The estimated J ss and the in vivo flux profiles of GRF and R-apomorphine were similar to those obtained using the deconvolution method. The two-dose iontophoretic transport of alniditan was properly simulated using the proposed time-variant input model indicating the utility of the model to predict and to simulate the drug transport by a multiple-dose iontophoresis. Moreover, the use of the compartmental modeling approach to derive an in vitro-in vivo correlation for R-apomorphine was demonstrated. This approach was also used to identify the optimum in vitro model that closely mimics the in vivo iontophoretic transport of R-apomorphine.
Conclusions.
The developed in vivo models demonstrate their consistency and capability to describe the in vivo iontophoretic drug transport. This compartmental modeling approach provides a scientific basis to examine in vitro-in vivo correlations of drug transport by iontophoresis.
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Abbreviations
- α and β:
-
micro constants obtained during integration/Laplace transformation
- AT:
-
the amount of drug presence in the central compartment at current removal
- A2T:
-
the amount of drug presence in the peripheral compartment at current removal
- A(t):
-
drug amount in plasma at time t
- Cp(t):
-
drug concentration in the central compartment (plasma) at time t
- DHS:
-
dermatomed human skin
- EF:
-
enhancement factor
- HSC:
-
human stratum corneum
- I0:
-
the constant rate of iontophoretic drug input into the skin
- IT:
-
the maximum iontophoretic drug input at current removal at time T
- Jss:
-
steady-state flux
- J(t):
-
flux at time t
- k:
-
the rate constant of drug elimination from the central compartment
- k12:
-
the rate constant of drug distribution from the central to the peripheral compartment
- k21:
-
the rate constant of drug distribution from the peripheral to the central compartment
- KR:
-
the rate constant of drug release from the skin into the systemic circulation (in vivo) or into the acceptor phase (in vitro)
- PPI:
-
the zero order mass input into the skin due to passive diffusion post-iontophoresis
- S:
-
patch area
- T:
-
time of current removal
- t’:
-
the net time post iontophoresis
- tL:
-
the kinetic lag time of the drug molecules to enter the skin compartment
- tN:
-
the net time of current application
- VD1:
-
volume of distribution of the central compartment
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Nugroho, A., Della-Pasqua, O., Danhof, M. et al. Compartmental Modeling of Transdermal Iontophoretic Transport II: In Vivo Model Derivation and Application. Pharm Res 22, 335–346 (2005). https://doi.org/10.1007/s11095-004-1870-2
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DOI: https://doi.org/10.1007/s11095-004-1870-2