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Analysis of Non-linear Pharmacokinetics of P-Glycoprotein Substrates in a Microfluidic Device Using a Mathematical Model that Includes an Unstirred Water Layer (UWL) Compartment

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Abstract

Purpose

The purpose of this research is to analyze non-linear pharmacokinetics of P-glycoprotein (P-gp) substrates in a cell based assay of a microfluidic device, which might be affected by hydrodynamic barrier (unstirred water layer, UWL).

Results

Apparent permeability (Papp) were obtained using non-P-gp substrates (propranolol, metoprolol, and atenolol) and P-gp substrates (quinidine and talinolol) in a commercially available microfluidic device, organoplate ® of Caco-2 cell based assay. The previous UWL resistance model was well fitted to Papp of static and flow condition by assuming UWL including and negligible condition, while P-gp substrates of higher passive permeability (quinidine) was apart from the fitting curve. The concentration dependent non-linear kinetics of P-gp substrates, quinidine and talinolol, was more analyzed in detail, and apparent Vmax discrepancy between static and flow assay condition in the quinidine assay was observed, while that was not observed in talinolol, the lower permeable substrate. Based on the experimental results, a mathematical model for P-gp substrates including UWL compartment on the previous 3-compartment model was developed, and it indicated that the apparent Vmax was variable along with the ratio between passive permeability and UWL permeability.

Conclusions

The mathematical model adding UWL compartment well explained non-linear pharmacokinetics of apparent permeability of P-gp substrate in the microfluidic device. The model also has a potential to be applied to P-gp substrate permeability analysis in vivo.

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Abbreviations

Eq:

Equation

Papp :

Apparent permeability

P-gp:

P-glycoprotein

UWL:

Unstirred water layer

ZSQ:

Zosuquidar

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Acknowledgments and Dis1closures

The authors would like to thank Yuji Sakurai, Kazuhisa Ozeki, Jumpei Kiyokawa, Chisato Kaneko, Kai Tanaka, Mitsuyasu Tabo and Kimio Terao for their support of this work.

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Correspondence to Fumihiko Igarashi.

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Igarashi, F., Nakagawa, T., Shinohara, Y. et al. Analysis of Non-linear Pharmacokinetics of P-Glycoprotein Substrates in a Microfluidic Device Using a Mathematical Model that Includes an Unstirred Water Layer (UWL) Compartment. Pharm Res 38, 1031–1039 (2021). https://doi.org/10.1007/s11095-021-03054-4

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  • DOI: https://doi.org/10.1007/s11095-021-03054-4

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