Table of Contents
ISRN Biomathematics
Volume 2013 (2013), Article ID 120974, 16 pages
http://dx.doi.org/10.1155/2013/120974
Review Article

Models for the Study of Whole-Body Glucose Kinetics: A Mathematical Synthesis

1Centre for Nutrition Modelling, Department of Animal & Poultry Science, University of Guelph, Guelph ON, Canada N1G 2W1
2Instituto de Ganadería de Montaña (CSIC-ULE), Departamento de Producción Animal, Universidad de León, 24071 León, Spain
3Procter & Gamble Pet Care, 8700 Mason Montgomery Road, Mason, OH 45040, USA

Received 21 February 2013; Accepted 31 March 2013

Academic Editors: J. Chow, M. T. Figge, M. Glavinovic, S.-C. Ngan, and J. M. Starobin

Copyright © 2013 Leslie L. McKnight et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The maintenance of blood glucose homeostasis is complex and involves several key tissues. Most of these tissues are not easily accessible, making direct measurement of the physiological parameters involved in glucose metabolism difficult. The use of isotope tracer methodology and mathematical modeling allows indirect estimates of in vivo glucose metabolism through relatively noninvasive means. The purpose of this paper was to provide a mathematical synthesis of the models developed for describing glucose kinetics. As many of the models were developed using dogs, example data from the canine literature are presented. However, examples from the human and feline literature are also given in the absence of dog data. The glucose system is considered in both the steady and nonsteady states, and the models are examined by grouping them into schemes consisting of one, two, and three glucose compartments. Noncompartmental schemes are also considered briefly.