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.

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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.

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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

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