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.
Authors
- Margarita de Lorena Ramos‐García (ORCID: https://orcid.org/0000-0002-1071-5005)
- Daniel Villanueva Vásquez (ORCID: https://orcid.org/0000-0002-8623-9674)
- Alexis Alonso‐Bastida (ORCID: https://orcid.org/0000-0001-8563-9767)
- Lourdes Gutiérrez‐Xicoténcatl (ORCID: https://orcid.org/0000-0003-1828-0007)
- Dolores Azucena Salazar-Piña (ORCID: https://orcid.org/0000-0003-0800-7226)
- Manuel Adam‐Medina (ORCID: https://orcid.org/0000-0002-8106-3673)
- Christian Rios‐Enriquez (ORCID: https://orcid.org/0000-0002-7985-285X)
Institutions
- 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)
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
- 0.00