ArticleChaos (Woodbury, N.Y.)2021
Delay-induced uncertainty for a paradigmatic glucose-insulin model.
Article in Chaos (Woodbury, N.Y.), 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- Article
- Stochastic switching of delayed feedback suppresses oscillations in genetic regulatory systems.Journal of the Royal Society, Interface · 2023Article
- Delay-induced uncertainty in the glucose-insulin system: Pathogenicity for obesity and type-2 diabetes mellitus.Frontiers in physiology · 2022Article
- The progression of secondary diabetes: A review of modeling studies.Frontiers in endocrinology · 2022Review
- Time-Delay Identification Using Multiscale Ordinal Quantifiers.Entropy (Basel, Switzerland) · 2021Article
- Delay-induced uncertainty for a paradigmatic glucose-insulin model.Chaos (Woodbury, N.Y.) · 2021Article
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
Medical practice in the intensive care unit is based on the assumption that physiological systems such as the human glucose-insulin system are predictable. We demonstrate that delay within the glucose-insulin system can induce sustained temporal chaos, rendering the system unpredictable. Specifically, we exhibit such chaos for the ultradian glucose-insulin model. This well-validated, finite-dimensional model represents feedback delay as a three-stage filter. Using the theory of rank one maps from smooth dynamical systems, we precisely explain the nature of the resulting delay-induced uncertainty (DIU). We develop a framework one may use to diagnose DIU in a general oscillatory dynamical system. For infinite-dimensional delay systems, no analog of the theory of rank one maps exists. Nevertheless, we show that the geometric principles encoded in our DIU framework apply to such systems by exhibiting sustained temporal chaos for a linear shear flow. Our results are potentially broadly applicable because delay is ubiquitous throughout mathematical physiology.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the Socratic graph.