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Artículo

Mathematical model of glucose-insulin homeostasis in healthy rats

Lombarte, MercedesIcon ; Lupo, MaelaIcon ; Campetelli, GermánIcon ; Basualdo, Marta Susana; Rigalli, AlfredoIcon
Fecha de publicación: 10/2013
Editorial: Elsevier
Revista: Mathematical Biosciences
ISSN: 0025-5564
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:
Matemática Aplicada; Bioquímica y Biología Molecular

Resumen

According to the World Health Organization there are over 220 million people in the world with diabetes and 3.4 million people died in 2004 as a consequence of this pathology. Development of an artificial pancreas would allow to restore control of blood glucose by coupling an infusion pump to a continuous glucose sensor in the blood. The design of such a device requires the development and application of mathematical models which represent the gluco-regulatory system. Models developed by other research groups describe very well the gluco-regulatory system but have a large number of mathematical equations and require complex methodologies for the estimation of its parameters. In this work we propose a mathematical model to study the homeostasis of glucose and insulin in healthy rats. The proposed model consists of three differential equations and 8 parameters that describe the variation of: blood glucose concentration, blood insulin concentration and amount of glucose in the intestine. All parameters were obtained by setting functions to the values of glucose and insulin in blood obtained after oral glucose administration. In vivo and in silico validations were performed. Additionally, a qualitative analysis has been done to verify the aforementioned model. We have shown that this model has a single, biologically consistent equilibrium point. This model is a first step in the development of a mathematical model for the type I diabetic rat.
Palabras clave: Mathematical Model , Glucose , Insulin , Dmti , Diabetes Mellitus Type I , Dmtii , Diabetes Mellitus Type Ii , Naf , Sodium Fluoride , Standard Error
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Atribución-NoComercial-SinDerivadas 2.5 Argentina (CC BY-NC-ND 2.5 AR)
Identificadores
URI: http://hdl.handle.net/11336/3181
DOI: http://dx.doi.org/10.1016/j.mbs.2013.07.017
URL: http://www.sciencedirect.com/science/article/pii/S0025556413001818
Colecciones
Articulos(CCT - ROSARIO)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - ROSARIO
Articulos(CIFASIS)
Articulos de CENTRO INT.FRANCO ARG.D/CS D/L/INF.Y SISTEM.
Citación
Lombarte, Mercedes; Lupo, Maela; Campetelli, Germán; Basualdo, Marta Susana; Rigalli, Alfredo; Mathematical model of glucose-insulin homeostasis in healthy rats; Elsevier; Mathematical Biosciences; 245; 2; 10-2013; 269-277
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