Authors: Petronijević, Branislava
Šarčev, Ivan
Zorica, Dušan 
Janev, Marko 
Atanacković, Teodor
Title: Fractional two-compartmental model for articaine serum levels
Journal: Heat and Mass Transfer/Waerme- und Stoffuebertragung
Volume: 52
Issue: 6
First page: 1125
Last page: 1130
Issue Date: 1-Jan-2016
Rank: M22
ISSN: 09477411
DOI: 10.1007/s00231-015-1639-7
Abstract: 
Two fractional two-compartmental models are applied to the pharmacokinetics of articaine. Integer order derivatives are replaced by fractional derivatives, either of different, or of same orders. Models are formulated so that the mass balance is preserved. Explicit forms of the solutions are obtained in terms of the Mittag–Leffler functions. Pharmacokinetic parameters are determined by the use of the evolutionary algorithm and trust regions optimization to recover the experimental data.
Publisher: Springer Link
Project: Viscoelasticity of fractional type and shape optimization in a theory of rods 
Secretariat for Science of Vojvodina, Grant 114-451-947

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