Dynamic Relationship between Interstitial Glucose and Plasma Glucose Using Input-Output Mathematical Models


Authors

  • Angela María Lema Pérez ITM Institución Universitaria
  • José Fernando García Tirado ITM Institución Universitaria
  • Laura Lema Pérez Universidad Nacional de Colombia

DOI:

https://doi.org/10.22517/23447214.13151

Keywords:

diabetes mellitus, glucosa intersticial, glucosa plasmática, insulina, modelo de primer orden, monitoreo de glucosa.

Abstract

Type 1 Diabetes Mellitus (T1DM) is an autoimmune disease affecting most of the world population. This disease appears when the pancreas is no longer able to produce the insulin hormone which is needed to the energy intake by most of the body cells in the human being. One of the most promising treatments to this disease is by means of an automatic control system of the glucose concentration known as artificial pancreas. This artificial system uses a continuous glucose monitor (CGM) and an insulin pump which acts based on the control system. The CGM takes measurements each 5 min from the abdominal interstitium which in fact is a delayed measurement of the blood glucose. This delay causes many issues in the design of control systems. In this study both measurements are related through a first order mathematical model, in which the blood glucose is considered the input and the interstitial glucose is considered the output. A model was identified from real patient data and by using the reaction curve methodology. The model parameters , y were fitted by comparing the parameters of six identified mathematical models, and a unique mathematical model which relates both blood glucose measurements and interstitial glucose measurements was found.

Downloads

Download data is not yet available.

Author Biography

Angela María Lema Pérez, ITM Institución Universitaria

Mi nombre es Angela María Lema Pérez, soy estudiante de Ingeniería Biomédica del ITM Institución Universitaria y estoy en el último semestre de la carrera.

Pertenezco a jóven investigador Colciencias -ITM.

Downloads

Published

2016-12-30

How to Cite

Lema Pérez, A. M., García Tirado, J. F., & Lema Pérez, L. (2016). Dynamic Relationship between Interstitial Glucose and Plasma Glucose Using Input-Output Mathematical Models. Scientia Et Technica, 21(4), 365–370. https://doi.org/10.22517/23447214.13151

Issue

Vol. 21 No. 4 (2016)

Section

Bioingeniería

License

Copyrights

The journal is free open access. The papers are published under the Creative Commons Attribution / Attribution-NonCommercial-NoDerivatives 4.0 International - CC BY-NC-ND 4.0 license. For this reason, the author or authors of a manuscript accepted for publication will yield all the economic rights to the Universidad Tecnológica of Pereira free of charge, taking into account the following:

In the event that the submitted manuscript is accepted for publication, the authors must grant permission to the journal, in unlimited time, to reproduce, to edit, distribute, exhibit and publish anywhere, either by means printed, electronic, databases, repositories, optical discs, Internet or any other required medium. In all cases, the journal preserves the obligation to respect, the moral rights of the authors, contained in article 30 of Law 23 of 1982 of the Government Colombian.

The transferors using ASSIGNMENT OF PATRIMONIAL RIGHTS letter declare that all the material that is part of the article is entirely free of copyright.  Therefore, the authors are responsible for any litigation or related claim to intellectual property rights. They exonerate of all responsibility to the Universidad Tecnológica of Pereira (publishing entity) and the Scientia et Technica journal. Likewise, the authors accept that the work presented will be distributed in free open access, safeguarding copyright under the Creative Commons Attribution / Recognition-NonCommercial-NoDerivatives 4.0 International - https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es license.