Determination of bermang'sminimal model parameters for diabetic mice treated with ibervillea sonorae

Emmanuel S. Sánchez-Velarde, Alejandro A. Sotelo-de Ávila, Itzamná O. Rico-Asención, Nayely R. Budar-Alemán, Rodrigo Sánchez-González, María G. Ramírez-Sotelo, Agustín I. Cabrera-Llanos

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This article shows the estimation of Bergman's Minimal Model parameters for glucose-insulin interaction in three stages: evolution of the concentration of insulin, evolution of glucose and glucose/insulin interaction itself. First, the dynamics of glucose measured in healthy mice treated with extracts of Ibervillea sonorae root in a range of 100-400 mg/kg; likewise, for mice previously induced with diabetes mellitus type 2 values are determined The different parameter values obtained are compared showing how they influence the dynamics of Bergman's Model. The values of the glucose/insulin interaction where obtained in vivo by blood samples of the mice every hour. The evolution and variability of the estimate are shown in graphical form; alsothe estimation error is quantified by performance curves, which were associated to the energy that is implied in the difference between the values of the parameters obtained and the data obtained in the kinematics of the mice. The results indicate the estimated level reached, where the upper value of the performance curve was 3.0128, while the lower was 0.1978, with standard error values between 1.55% and 10.47%.

Original languageEnglish
Title of host publicationWorld Congress on Medical Physics and Biomedical Engineering, 2015
EditorsDavid A. Jaffray
PublisherSpringer Verlag
Pages1708-1711
Number of pages4
ISBN (Print)9783319193878
DOIs
StatePublished - 2015
EventWorld Congress on Medical Physics and Biomedical Engineering, 2015 - Toronto, Canada
Duration: 7 Jun 201512 Jun 2015

Publication series

NameIFMBE Proceedings
Volume51
ISSN (Print)1680-0737

Conference

ConferenceWorld Congress on Medical Physics and Biomedical Engineering, 2015
Country/TerritoryCanada
CityToronto
Period7/06/1512/06/15

Keywords

  • Bergman's Minimal Model
  • Diabetic mice
  • Ibervillea sonorae
  • Parameter estimation

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