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On an Unphysical Hypothesis of Bateman Equation and its Implications for Pharmacokinetics

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Fig. 1

References

  1. Niazi S. Textbook of biopharmaceutics and clinical pharmacokinetics. New York: Appleton-Century-Crofts; 1979.

    Google Scholar 

  2. Bateman H. The solution of a system of differential equations occurring in the theory of radio-active transformations. Proc Cambridge Phil Soc. 1908;15:423–7.

    Google Scholar 

  3. Dost FH. Der Blutspiegel Thieme [Internet]. Leipzig; 1953. Available from: https://link.springer.com/content/pdf/10.1007%2FBF00562502.pdf. Accessed 1 March 2019.

  4. Kalampokis A, Argyrakis P, Macheras P. Heterogeneous tube model for the study of small intestinal transit flow. Pharm Res. 1999;16:87–91.

    Article  CAS  Google Scholar 

  5. Macheras P, Karalis V. A non-binary biopharmaceutical classification of drugs: the ABΓ system. Int J Pharm. 2014;464:85–90.

    Article  CAS  Google Scholar 

  6. U.S. 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 [Internet]. 2017. Available from: http://www.fda.gov/Drugs/GuidanceComplianceRegulatoryInformation/Guidances/default.htm. Accessed 1 March 2019.

  7. European Medicines Agency Committee for Medicinal Products for Human use (CHMP). Guideline on the investigation of bioequivalence [Internet]. 2010. Available from: http://www.ema.europa.eu. Accessed 1 March 2019.

  8. Daousani C, Macheras P. Biopharmaceutic classification of drugs revisited. Eur J Pharm Sci Elsevier BV. 2016;95:82–7.

    Article  CAS  Google Scholar 

  9. Dokoumetzidis A, Macheras P. The changing face of the rate concept in biopharmaceutical sciences: from classical to fractal and finally to fractional. Pharm Res. 2011;28:1129–32.

    Article  Google Scholar 

  10. Sopasakis P, Sarimveis C, Macheras P, Dokoumetzidis A. Fractional calculus in pharmacokinetics. J Pharmacokinet Pharmacodyn. 2017. https://doi.org/10.1007/s10928-017-9547-8.

    Article  Google Scholar 

Download references

Acknowledgments and disclosures

Dedicated to the memory of Dr. Arnold Rosen, Chelsea College (now King’s College), University of London who taught me pharmacokinetics during my PhD studies (1978–1980) in London. This manuscript, if published, will be used in a plea for the minister of education of Greece to allow professors Emeriti supervise undergraduates, MSc and PhD students after the obligatory retirement.

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  1. Department of Pharmacy, National and Kapodistrian University of Athens, Athens, Greece

    Panos Macheras

  2. PharmaInformatics Unit, ATHENA Research Center, Athens, Greece

    Panos Macheras

  3. Department of Pharmaceutical Sciences, State University of New York (SUNY), Buffalo, New York, USA

    Panos Macheras

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  1. Panos Macheras
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Correspondence to Panos Macheras.

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Macheras, P. On an Unphysical Hypothesis of Bateman Equation and its Implications for Pharmacokinetics. Pharm Res 36, 94 (2019). https://doi.org/10.1007/s11095-019-2633-4

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