Parameter Estimation for a Jump Diffusion Model of Type 2 Diabetic Patients in the Presence of Unannounced Meals

Mohamad Al Ahdab, Milan Papez, Torben Knudsen, Tinna Bjork Aradottir, Signe Schmidt, Kirsten Norgaard, John Leth

2 Citations (Scopus)

Abstract

Type 2 diabetes (T2D) has become one of the most often encountered metabolic disorders threatening the human health. Unannounced meal intake and irregular physical activity cause abrupt changes in the blood glucose concentrations. Therefore, a reliable and accurate algorithms that account for these sudden concentration changes constitute a crucial part of automated insulin pumps and dose guiders. To this end, we develop a stochastic jump diffusion model for T2D patients, reflecting the irregular frequency and uncertain amount of consumed carbohydrates. Moreover, we design a method - ombining particle Markov chain Monte Carlo and particle learning - to estimate the unknown parameters of this model, considering only continuous glucose monitoring data and amounts of injected insulin. Our approach is verified on synthetic and clinical data, demonstrating its ability to estimate the unknown parameters with a varying degree of accuracy.

Original languageEnglish
Title of host publicationCCTA 2021 - 5th IEEE Conference on Control Technology and Applications
Number of pages8
PublisherInstitute of Electrical and Electronics Engineers Inc.
Publication date2021
Pages176-183
ISBN (Electronic)9781665436434
DOIs
Publication statusPublished - 2021
Event5th IEEE Conference on Control Technology and Applications, CCTA 2021 - Virtual, San Diego, United States
Duration: 8 Aug 202111 Aug 2021

Conference

Conference5th IEEE Conference on Control Technology and Applications, CCTA 2021
Country/TerritoryUnited States
CityVirtual, San Diego
Period08/08/202111/08/2021
SponsorIEEE Conference on Decision and Control (CDC), IEEE Control Systems Society (CSS)
SeriesCCTA 2021 - 5th IEEE Conference on Control Technology and Applications

Fingerprint

Dive into the research topics of 'Parameter Estimation for a Jump Diffusion Model of Type 2 Diabetic Patients in the Presence of Unannounced Meals'. Together they form a unique fingerprint.

Cite this