Abstract
Purpose
The Wagner-Nelson and Loo-Riegelman methods developed in the 1960s and used since for the construction of percent of drug absorbed as a function of time as well as in in vitro in vivo correlations are re-considered in the light of the physiologically sound Finite Absorption Time (F.A.T.) concept developed recently.
Methods
The classical equations for the percentage of drug absorption as a function of time were modified by taking into account the termination of drug absorption at F.A.T., replacing the parameters associated with the assumption of infinite drug absorption.
Results
Mathematical analysis using the relevant Physiologically Based Pharmacokinetic Finite Time (PBFTK) models assuming one- or two-compartment drug disposition, revealed that the modified %absorbed versus time curves are of bilinear type with an ascending limb intersecting the horizontal line at F.A.T. A computer-based methodology is described for the estimation of F.A.T. from experimental data. More than one linear ascending limb is found when more than one absorption phase is operating. Experimental data were analyzed and the estimates for F.A.T were found to be similar to those derived from nonlinear regression analysis using PBFTPK models.
Conclusion
These results place an end to the routinely reported exponential %absorbed versus time curves prevailing in biopharmaceutics-pharmacokinetics since their inception in the’60 s. These findings point to the use of the F.A.T. concept in drug absorption research and regulatory guidelines such as deconvolution techniques for the assessment of drug input rate, stochastic mean absorption time calculations, population analyses, in vitro in vivo correlations and bioequivalence guidelines.
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Data Availability
All data used in this study have been published previously as indicated for each data set analyzed.
References
Wagner JG, Nelson E. Percent absorbed time plots derived from blood level and/or urinary excretion data. J Pharm Sci. 1963;52:610–1. https://doi.org/10.1002/jps.2600520629.
Wagner JG, Nelson E. The kinetic analysis of blood levels and urinary excretion in the absorptive phase after single doses of drug. J Pharm Sci. 1964;53:1392–403. https://doi.org/10.1002/jps.2600531126.
Loo JCK, Riegelman S. New method for calculating the intrinsic absorption rate of drugs. J Pharm Sci. 1968;57:918–28. https://doi.org/10.1002/jps.2600570602.
Wagner JG. Application of the Loo-Riegelman absorption method. J Pharmacokinet Biopharm. 1975Feb;3(1):51–67. https://doi.org/10.1007/BF01066595.
Macheras P. On an unphysical hypothesis of Bateman equation and its implications for pharmacokinetics. Pharm Res. 2019;36:94. https://doi.org/10.1007/s11095-019-2633-4.
Cutler DJ. Numerical deconvolution by least squares: use of prescribed input functions. J Pharmacokinet Biopharm. 1978;6(3):227–41. https://doi.org/10.1007/BF01312264.
Margolskee A, Darwich AS, Galetin A, Rostami-Hodjegan A, Aarons L. Deconvolution and IVIVC: Exploring the Role of Rate-Limiting Conditions. AAPS J. 2016Mar;18(2):321–32. https://doi.org/10.1208/s12248-015-9849-y.
U.S. Department of Health and Human Services, Food and Drug Administration, Center for Drug Evaluation and Research (CDER). Guidance for Industry: SUPAC-MR: Modified Release Solid Oral Dosage Forms. 1997. http://www.fda.gov/downloads/Drugs/Guidances/UCM070640.pdf. Accessed Feb 20 2023
Uppoor VR, et al. FDA Guidance to Industry Extended Release Oral Dosage Forms: Development, Evaluation, And Application Of In Vitro/In Vivo Correlations. Dissolution Technol. 1997;4(4):23–32. https://doi.org/10.14227/DT040497P23.
Macheras P, Chryssafidis P. Revising pharmacokinetics of oral drug absorption: I models based on biopharmaceutical/physiological and finite absorption time concepts. Pharm Res. 2020;37:187. https://doi.org/10.1007/s11095-020-02894-w.ErratumPharmRes2020;37:206.
Macheras P, Tsekouras AA. The Finite Absorption Time (FAT) concept en route to PBPK modeling and pharmacometrics. J Pharmacokinet Pharmacodyn. 2023;50:5–10. https://doi.org/10.1007/s10928-022-09832-w.
Chryssafidis P, Tsekouras AA, Macheras P. Revising pharmacokinetics of oral drug absorption: II bioavailability bioequivalence considerations. Pharm Res. 2021;38:1345–56. https://doi.org/10.1007/s11095-021-03078-w.
Chryssafidis P, Tsekouras AA, Macheras P. Re-writing oral pharmacokinetics using physiologically based finite time pharmacokinetic (PBFTPK) models. Pharm Res. 2022;39:691–701. https://doi.org/10.1007/s11095-022-03230-0.
Tsekouras AA, Macheras P. Columbus’ egg: Oral drugs are absorbed in finite time. Eur J Pharm Sci. 2022;176:106265. https://doi.org/10.1016/j.ejps.2022.106265.
Wu D, Tsekouras AA, Macheras P, Kesisoglou F. Physiologically based pharmacokinetic models under the prism of the finite absorption time concept. Pharm Res. 2023;40:419–29. https://doi.org/10.1007/s11095-022-03357-0.
Macheras P, Tsekouras AA. Revising Oral Pharmacokinetics, Bioavailability and Bioequivalence Based on the Finite Absorption Time Concept. Cham: Springer; 2023. https://doi.org/10.1007/978-3-031-20025-0.
Food and Drug Administration. Center for Drug Evaluation and Research (CDER). Waiver of In Vivo Bioavailability and Bioequivalence Studies for Immediate-Release Solid Oral Dosage Forms Based on a Biopharmaceutics Classification System. Guidance for Industry U.S. Department of Health and Human Services. 2017.
European Medicines Agency. Committee for medicinal products for human use (CHMP) Guideline on the investigation of bioequivalence. London, Jan. 2017.
Charalabidis A, Sfouni M, Bergström C, Macheras P. BCS and BDDCS: Beyond guidelines. Int J Pharm. 2019;566:264–81. https://doi.org/10.1016/j.ijpharm.2019.05.041.
Raffa RB, Pergolizzi JV Jr, Taylor R Jr, Decker JF, Patrick JT. Acetaminophen (paracetamol) oral absorption and clinical influences. Pain Pract. 2014Sep;14(7):668–77. https://doi.org/10.1111/papr.12130.
Forrest JA, Clements JA, Prescott LF. Clinical pharmacokinetics of paracetamol. Clin Pharmacokinet. 1982;7(2):93–107. https://doi.org/10.2165/00003088-198207020-00001.
Dokoumetzidis A, Papadopoulou V, Macheras P. Analysis of Dissolution Data Using Modified Versions of Noyes-Whitney Equation and the Weibull Function. Pharm Res. 2006;23:256–61. https://doi.org/10.1007/s11095-006-9093-3.
Dokoumetzidis A, Macheras P. IVIVC of controlled release formulations: physiological-dynamical reasons for their failure. J Control Release. 2008Jul 14;129(2):76–8. https://doi.org/10.1016/j.jconrel.2008.04.005.
Mircioiu C, Mircioiu I, Voicu V, Miron D. Dissolution-bioequivalence non-correlations. Basic Clin Pharmacol Toxicol. 2005Mar;96(3):262–4. https://doi.org/10.1111/j.1742-7843.2005.pto960324.x.
Cardot JM, Davit BM. In vitro-in vivo correlations: tricks and traps. AAPS J. 2012Sep;14(3):491–9. https://doi.org/10.1208/s12248-012-9359-0.
Bransford P, Cook J, Gupta M, Haertter S, He H, Ju R, Kanodia J, Lennernäs H, Lindley D, Polli JE, Wenning L, Wu Y. ICH M9 Guideline in Development on Biopharmaceutics Classification System-Based Biowaivers: An Industrial Perspective from the IQ Consortium. Mol Pharm. 2020Feb 3;17(2):361–72. https://doi.org/10.1021/acs.molpharmaceut.9b01062.
Alimpertis N, Tsekouras AA, Macheras P, Revising the assessment of bioequivalence in the light of finite absorption time (FAT) concept: The axitinib case. 30th PAGE meeting Ljubljana 28 June-1 July, 2022.
Food and Drug Administration, Code of Federal Regulations Title 21, 5 Subpart B - Procedures for Determining the Bioavailability or Bioequivalence of Drug Products. 1971. https://www.accessdata.fda.gov/scripts/cdrh/cfdocs/cfcfr/CFRSearch.cfm?fr=320.21. Accessed 27 Jul 2023
European Medicines Agency. Committee for medicinal products for human use (CHMP) guideline on the investigation of bioequivalence. London, Jan. 2010. https://www.ema.europa.eu/en/documents/scientific-guideline/guideline-investigation-bioequivalence-rev1_en.pdf
Yamaoka K, Nakagawa T, Uno T. Statistical moments in pharmacokinetics. J Pharmacokinet Biopharm. 1978;6:547–58. https://doi.org/10.1007/BF01062109.
Benet LZ, Sodhi JK. The Uses and Advantages of Kirchhoff’s Laws vs. Differential Equations in Pharmacology, Pharmacokinetics, and (Even) Chemistry. AAPS J. 2023;25(3):38. https://doi.org/10.1208/s12248-023-00801-w.
Sjögren E, Westergren J, Grant I, Hanisch G, Lindfors L, Lennernäs H, et al. In silico predictions of gastrointestinal drug absorption in pharmaceutical product development: application of the mechanistic absorption model GI-Sim. Eur J Pharm Sci. 2013;49(4):679–98. https://doi.org/10.1016/j.ejps.2013.05.019.
Sager JE, Yu J, Ragueneau-Majlessi I, Isoherranen N. Physiologically based pharmacokinetic (PBPK) modeling and simulation approaches: a systematic review of published models, applications, and model verification. Drug Metab Dispos. 2015;43(11):1823–37. https://doi.org/10.1124/dmd.115.065920.
Alimpertis N, Tsekouras AA, Macheras P. The estimates for the absorption rate constant in pharmacokinetics and pharmacometrics are wrong: A new era based on the finite absorption time concept rises, talk presented at PAGE 2023, A Coruña, Spain, 28–30 June 2023. https://www.page-meeting.org/default.asp?abstract=10610. Accessed 27 Jul 2023
Acknowledgements
The authors are indebted to Professor Leslie Benet for his advice on an advanced draft of the manuscript. We also thank an anonymous reviewer for his constructive critique. Dedicated to the memory of the hero pilots Christos Moulas, 34, and Periclis Stefanidis, 27, both of the Greek Hellenic Air Force who died fighting devastating wildfires in Greece on July 25, 2023.
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Alimpertis, N., Tsekouras, A.A. & Macheras, P. Revamping Biopharmaceutics-Pharmacokinetics with Scientific and Regulatory Implications for Oral Drug Absorption. Pharm Res 40, 2167–2175 (2023). https://doi.org/10.1007/s11095-023-03578-x
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DOI: https://doi.org/10.1007/s11095-023-03578-x