Bayesian analysis of Glucose dynamics during the Oral Glucose Tolerance Test (OGTT)

Hugo Flores-Arguedas; Marcos A. Capistrán; Hugo Flores-Arguedas; Marcos A. Capistrán

doi:10.3934/mbe.2021235

Mathematical Biosciences and Engineering

2021, Volume 18, Issue 4: 4628-4647. doi: 10.3934/mbe.2021235

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Bayesian analysis of Glucose dynamics during the Oral Glucose Tolerance Test (OGTT)

Centro de Investigación en Matemáticas, A.C., Jalisco S/N, Valenciana, 36023, Guanajuato, GTO, México

Received: 16 February 2021 Accepted: 18 May 2021 Published: 27 May 2021

This paper proposes a model that considers the action and timing of insulin and glucagon in glucose homeostasis after an oral stimulus. We use the Bayesian paradigm to infer kinetic rates, namely insulin and glucagon secretion, gastrointestinal emptying, and basal glucose concentration in blood. We identify two insulin scores related to glucose concentration in both blood and the gastrointestinal tract. The scores allow us to suggest a classification for individuals with impaired insulin sensitivity.
- OGTT,
- Bayesian Inference,
- Type 2 Diabetes,
- Glucose dynamics,
- dynamical systems
Citation: Hugo Flores-Arguedas, Marcos A. Capistrán. Bayesian analysis of Glucose dynamics during the Oral Glucose Tolerance Test (OGTT)[J]. Mathematical Biosciences and Engineering, 2021, 18(4): 4628-4647. doi: 10.3934/mbe.2021235

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Abstract

This paper proposes a model that considers the action and timing of insulin and glucagon in glucose homeostasis after an oral stimulus. We use the Bayesian paradigm to infer kinetic rates, namely insulin and glucagon secretion, gastrointestinal emptying, and basal glucose concentration in blood. We identify two insulin scores related to glucose concentration in both blood and the gastrointestinal tract. The scores allow us to suggest a classification for individuals with impaired insulin sensitivity.

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