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Asymptotic time dependence in the fractal pharmacokinetics of a two-compartment model

Publisher
AMERICAN PHYSICAL SOC
Publication Date
Keywords
  • Qc Physics
Disciplines
  • Biology
  • Pharmacology

Abstract

We further investigate, both analytically and numerically, the properties of the fractal two-compartment model introduced by Fuite [J. Fuite, R. Marsh, and J. Tuszynski, Phys. Rev. E 66, 021904 (2002)]. Specifically, we look at the effects of the fractal exponent of the elimination rate coefficient on the long-time behavior of the pharmacokinetic clearance tail. For small exponent values, the tail exhibits exponential behavior, while for larger values, there is a transition to a power law. The theory is applied to seven data sets simulating drugs taken from the pharmacological literature.

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