A Mathematical Modeling Approach to Estimate Blood Glucose Behavior in Individuals with Prediabetes

Background: Glucose homeostasis is a crucial physiological process, and its disruption is closely linked to the onset of Type 2 Diabetes Mellitus (T2DM), a major global health issue. Objective: This study presents a novel mathematical model to describe glucose dynamics in both healthy individuals and those with prediabetic risk factors. Methods: We analyzed 311 days of continuous glucose monitoring data from 43 participants (14 healthy and 29 at risk, aged 25–55), using a Dual Extended Kalman Filter to estimate parameters and unmeasurable variables, while accounting for parametric variability. We applied the Levenberg–Marquardt algorithm to minimize estimation error. Results: Based on average parameter values and standardized inputs, 311 simulations were conducted, showing strong agreement with experimental data (r = 0.98, p < 0.01). Conclusions: The model provides an accurate representation of glucose regulation and serves as a valuable in-silico tool for advancing preventive strategies against T2DM, marking one of the first models specifically tailored to individuals with prediabetes.

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Publication Details

Journal
Diabetology
Published
2025-10-29
DOI
https://doi.org/10.3390/diabetology6110123
Primary Topic
Diabetes Management and Research
Type
article
Field-Weighted Citation Impact
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article

A Mathematical Modeling Approach to Estimate Blood Glucose Behavior in Individuals with Prediabetes

Margarita de Lorena Ramos‐García, Daniel Villanueva Vásquez, Alexis Alonso‐Bastida, Lourdes Gutiérrez‐Xicoténcatl et al.
Diabetology
Diabetes Management and Research
article

A Mathematical Modeling Approach to Estimate Blood Glucose Behavior in Individuals with Prediabetes

Margarita de Lorena Ramos‐García, Daniel Villanueva Vásquez, Alexis Alonso‐Bastida, Lourdes Gutiérrez‐Xicoténcatl, Dolores Azucena Salazar-Piña, Manuel Adam‐Medina, Christian Rios‐Enriquez
article en

Abstract

Background: Glucose homeostasis is a crucial physiological process, and its disruption is closely linked to the onset of Type 2 Diabetes Mellitus (T2DM), a major global health issue. Objective: This study presents a novel mathematical model to describe glucose dynamics in both healthy individuals and those with prediabetic risk factors. Methods: We analyzed 311 days of continuous glucose monitoring data from 43 participants (14 healthy and 29 at risk, aged 25–55), using a Dual Extended Kalman Filter to estimate parameters and unmeasurable variables, while accounting for parametric variability. We applied the Levenberg–Marquardt algorithm to minimize estimation error. Results: Based on average parameter values and standardized inputs, 311 simulations were conducted, showing strong agreement with experimental data (r = 0.98, p < 0.01). Conclusions: The model provides an accurate representation of glucose regulation and serves as a valuable in-silico tool for advancing preventive strategies against T2DM, marking one of the first models specifically tailored to individuals with prediabetes.

DiabetologyVol. 6(11)
Instituto Nacional de Salud Pública (MX), Centro Nacional de Investigación y Desarrollo Tecnológico (MX), Instituto Tecnológico de Toluca (MX), Universidad Autónoma del Estado de Morelos (MX)
Openalex Percentile: Top 57%
Diabetes Management and Research
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