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Simulation of Drug Uptake in a Two Compartmental Fractional Model for a Biological System

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journal contribution
posted on 27.06.2012, 00:00 by Ivo Petráš, Richard L. Magin
This paper presents a very effective numerical method for the solution of the two-compartmental pharmacokinetic model for oral drug administration. This model consists of a set of two fractional order differential equations which connect the two compartments. The rst compartment represents the gut while the second compartment corresponds to the drug concentration in the target tissue. For ease of computation, the numerical solution is also created as a Matlab function.


This work is partially supported by grants VEGA: 1/0390/10, 1/0497/11, 1/0746/11, grants APVV-0040-07 and SK-PL-0052-09 as well as NIH grant R 01 EB007537 to RLM.


Publisher Statement

NOTICE: this is the author’s version of a work that was accepted for publication in Communications in Nonlinear Science and Numerical Simulation. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Communications in Nonlinear Science and Numerical Simulation, [Vol 16, Issue 12, (December 2011)] DOI: 10.1016/j.cnsns.2011.02.012. The original publication is available at







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