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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


Three Compartmental Model for Propofol Diffusion During General Anesthesia

Discontinuity, Nonlinearity, and Complexity 2(4) (2013) 357--368 | DOI:10.5890/DNC.2013.11.005

Clara M. Ionescu; Dana Copot; Robin De Keyser

Department of Electrical energy, Systems and Automation, Gent University, Technologiepark 913, 9052 Gent, Belgium

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This paper presents the initial steps towards the development of a compartmental model for drug diffusion in the human body, using fractional calculus. The model presented here preserves the mass balance, therefore it maintains the link between physiological and mathematical concepts. The final purpose of this model is to predict drug pharma-cokinetics and pharmacodynamics during general anesthesia. However, in this case the model is derived for a general class of drugs, therefore it can be employed in many biomedical applications.


Clara M. Ionescu is a post-doc fellow of the Research Foundation - Flanders (FWO). This research is supported by Flemish Research Foundation - Research Project FWOPR2013 005101.


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