A New Stochastic Approach for Modeling Glycemic Disturbances in Type 2 Diabetes

Henrik Glavind Clausen, Torben Knudsen, Mohamad Al Ahdab, Tinna Björk Araddóttir, Signe Schmidt, Kirsten Nørgaard, John-Josef Leth

Research output: Contribution to journalJournal articleResearchpeer-review

1 Citation (Scopus)

Abstract

Objective: To improve insulin treatment in type 2 diabetes (T2D) using model-based control techniques, the underlying model needs to be individualized to each patient. Due to the impact of unknown meals, exercise and other factors on the blood glucose, it is difficult to utilize available data from continuous glucose monitors (CGMs) for model fitting and parameter estimation purposes. Methods: To overcome this problem, we propose a novel method for modeling the glycemic disturbances as a stochastic process. To differentiate meals from other glycemic disturbances, we model the meal intake as a separate stochastic process while encompassing all other disturbances in another stochastic process. Using particle filtering, we validate the model on simulations as well as on clinical data. Results: Based on simulated CGM data, the residuals generated by the particle filter are white, indicating a good model fit. For the clinical data, we use parameter values estimated based on fasting glucose data. The residuals obtained from clinical CGM data contain correlations up to lag 5. Conclusion: The proposed model is shown to adequately describe the meal-induced glucose fluctuations in simulated CGM data while validations on clinical CGM data show promising results as well. Significance: The proposed model may lay the grounds for new ways of utilizing available CGM data, including CGM-based parameter estimation and stochastic optimal control.

Original languageEnglish
JournalI E E E Transactions on Biomedical Engineering
Volume68
Issue number10
Pages (from-to)3161-3172
Number of pages12
ISSN0018-9294
DOIs
Publication statusPublished - 2021

Keywords

  • Biological system modeling
  • Blood
  • Data models
  • Diabetes
  • Glucose
  • Insulin
  • Stochastic processes
  • parameter estimation
  • particle filtering
  • stochastic differential equations
  • type 2 diabetes

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