Work

A Delay Dynamical System’s Perspective on the Glucose–insulin Regulatory Response to On–off Glucose Infusion

Year: 2025

Type: article

Abstract: We investigate the consequences of periodic, on–off glucose infusion on the glucose–insulin regulatory system based on a system-level mathematical model with two explicit time delays. Studying the effects of such infusion protocols is mathematically challenging yet a promising direction for probing the system response to infusion. We pay special attention to the interplay of periodic infusion with intermediate-time-scale, ultradian oscillations that arise as a result of the physiological response of glucose uptake and back-release into the bloodstream. By using numerical solvers and numerical continuation software, we investigate the response of the model to different infusion patterns, explore how these patterns affect the overall levels of glucose and insulin, and how this can lead to entrainment. By doing so, we provide a road-map of system responses that can potentially help identify new, less-invasive, test strategies for detecting abnormal responses to glucose uptake without falling into lockstep with the infusion pattern.

Source: The ANZIAM Journal

DOI: 10.1017/s1446181125100084

Authors: STEFAN RUSCHEL, BENOIT HUARD

Institutions: University of Leeds, Northumbria University

Language: English

Topic: Pancreatic function and diabetes

Subfield: Surgery

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: hybrid

Estimated APC paid: $3,550