Modeling the physiological glucose-insulin dynamic system on diabetics

Area of Science:

• Biomedical Engineering
• Mathematical Modeling
• Endocrinology

Background:

• Existing models often focus on short-term glucose-insulin dynamics.
• A comprehensive model for diabetic subjects, incorporating physiological functions, is needed.

Purpose of the Study:

• To present a novel mathematical model using delay differential equations (DDEs) to describe glucose-insulin dynamics in diabetic subjects.
• To identify key physiological functions through adjustable model parameters.

Main Methods:

• Developed a modified delay differential equations (DDEs) model based on the human glucose-insulin metabolic system.
• Incorporated five adjustable parameters representing major physiological functions.
• Validated the model using clinical data from 56 diabetic subjects, including food ingestion and insulin injection information.

Main Results:

• The model accurately reflects the dynamic and oscillatory behavior of glucose-insulin levels in diabetic subjects.
• Adjusting model parameters allowed for practical simulation of individual patient responses.
• The identified parameters proved useful in assessing patients' physiological function conditions.

Conclusions:

• The developed generic glucose-insulin dynamic model offers a practical tool for understanding diabetes.
• This model has the potential to inform the development of advanced therapeutic strategies for diabetes management.