Delay-induced uncertainty in the glucose-insulin system: Pathogenicity for obesity and type-2 diabetes mellitus
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We have recently shown that physiological delay can induce a novel form of sustained temporal chaos we call delay-induced uncertainty (DIU) (Karamched et al. (Chaos, 2021, 31, 023142)). This paper assesses the impact of DIU on the ability of the glucose-insulin system to maintain homeostasis when responding to the ingestion of meals. We address two questions. First, what is the nature of the DIU phenotype? That is, what physiological macrostates (as encoded by physiological parameters) allow for DIU onset? Second, how does DIU impact health? We find that the DIU phenotype is abundant in the space of intrinsic parameters for the Ultradian glucose-insulin model-a model that has been successfully used to predict glucose-insulin dynamics in humans. Configurations of intrinsic parameters that correspond to high characteristic glucose levels facilitate DIU onset. We argue that DIU is pathogenic for obesity and type-2 diabetes mellitus by linking the statistical profile of DIU to the glucostatic theory of hunger.
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Time delays may induce uncertainty and make machine learning challenging to capture chaotic phenomena.
“Time delays, which are common in modeling the metabolic system (82–85), may induce uncertainty and make machine learning challenging to capture chaotic phenomena (86, 87).”
From The progression of secondary diabetes: A review of modeling studies (2022) · cites this paper as [87]
The Introduction (page not provided) says physiological delay can induce sustained temporal chaos, which the authors call delay-induced uncertainty, and says such chaos undermines predictability. It does not say that machine learning has difficulty capturing chaotic phenomena; a search for that point returned no supporting passage. (LLM, conf=0.86)
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Cites
Hodgkin, A. L., & Huxley, A. F. (1952) · The Journal of Physiology · doi:10.1113/jphysiol.1952.sp004764 · Cited by 23,191 · see citing works
Oscillation and Chaos in Physiological Control Systems
Mackey, M. C., & Glass, L. (1977) · Science · doi:10.1126/science.267326 · Cited by 4,152 · see citing works
Li, T.-Y., & Yorke, J. A. (2004) · Springer eBooks · doi:10.1007/978-0-387-21830-4_6 · Cited by 2,576 · see citing works
The analysis of observed chaotic data in physical systems
Abarbanel, H. D. I., Brown, R., Sidorowich, J. J., & Tsimring, L. S. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.1331 · Cited by 1,851 · see citing works
Mayer, J. (1955) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1955.tb36543.x · Cited by 858 · see citing works
Obesity Pathogenesis: An Endocrine Society Scientific Statement
Schwartz, M. W., Seeley, R. J., Zeltser, L. M., Drewnowski, A., Ravussin, E., Redman, L. M., & Leibel, R. L. (2017) · Endocrine Reviews · doi:10.1210/er.2017-00111 · Cited by 727 · see citing works
Self-citationComputer model for mechanisms underlying ultradian oscillations of insulin and glucose
Sturis, J., Polonsky, K. S., Mosekilde, E., & Van Cauter, E. (1991) · American Journal of Physiology-Endocrinology and Metabolism · doi:10.1152/ajpendo.1991.260.5.e801 · Cited by 262 · see citing works
Li, J., Kuang, Y., & Mason, C. C. (2006) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2006.04.002 · Cited by 241 · see citing works
Nonconvulsive seizures after subarachnoid hemorrhage: Multimodal detection and outcomes
Claassen, J., Perotte, A., Albers, D. J., Kleinberg, S., Schmidt, J. M., Tu, B., Badjatia, N., Lantigua, H., Hirsch, L. J., Mayer, S. A., et al. (2013) · Annals of Neurology · doi:10.1002/ana.23859 · Cited by 197 · see citing works
Self-citationStrange Attractors with One Direction of Instability
Wang, Q., & Young, L.-S. (2001) · Communications in Mathematical Physics · doi:10.1007/s002200100379 · Cited by 181 · see citing works
Time delays, oscillations, and chaos in physiological control systems
Glass, L., Beuter, A. C., & Larocque, D. (1988) · Mathematical Biosciences · doi:10.1016/0025-5564(88)90060-0 · Cited by 121 · see citing works
Toward a theory of rank one attractors
Wang, Q., & Young, L.-S. (2008) · Annals of Mathematics · doi:10.4007/annals.2008.167.349 · Cited by 114 · see citing works
Sottile, P. D., Albers, D. J., Higgins, C., Mckeehan, J., & Moss, M. M. (2018) · Critical Care Medicine · doi:10.1097/ccm.0000000000002849 · Cited by 112 · see citing works
Self-citationThe Glucostatic Theory of Appetite Control and the Risk of Obesity and Diabetes
Chaput, J.-P., & Tremblay, A. (2009) · International Journal of Obesity · doi:10.1038/ijo.2008.221 · Cited by 111 · see citing works
Personalized glucose forecasting for type 2 diabetes using data assimilation
Albers, D. J., Levine, M. E., Gluckman, B. J., Ginsberg, H. N., Hripcsak, G. M., & Mamykina, L. (2017) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1005232 · Cited by 106 · see citing works
Self-citationStrange Attractors in Periodically-Kicked Limit Cycles and Hopf Bifurcations
Wang, Q., & Young, L.-S. (2003) · Communications in Mathematical Physics · doi:10.1007/s00220-003-0902-9 · Cited by 105 · see citing works
Analysis of a model of the glucose-insulin regulatory system with two delays
Li, J., & Kuang, Y. (2007) · SIAM Journal on Applied Mathematics · doi:10.1137/050634001 · Cited by 96 · see citing works
Chaos in multi-looped negative feedback systems.
Glass, L., & Malta, C. (1990) · Journal of Theoretical Biology · doi:10.1016/s0022-5193(05)80127-4 · Cited by 91 · see citing works
From Inverse Problems in Mathematical Physiology to Quantitative Differential Diagnoses
Zenker, S., Rubin, J. E., & Clermont, G. (2007) · PLoS Computational Biology · doi:10.1371/journal.pcbi.0030204 · Cited by 82 · see citing works
Introduction: Mapping and control of complex cardiac arrhythmias
Christini, D. J., & Glass, L. (2002) · Chaos An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/1.1504061 · Cited by 64 · see citing works
Albers, D. J., Levine, M. E., Stuart, A. M., Mamykina, L., Gluckman, B. J., & Hripcsak, G. M. (2018) · Journal of the American Medical Informatics Association · doi:10.1093/jamia/ocy106 · Cited by 43 · see citing works
Self-citationA model for ultradian oscillations of insulin and glucose
Drozdov, A. D., & Khanina, H. (1995) · Mathematical and Computer Modelling · doi:10.1016/0895-7177(95)00108-e · Cited by 40 · see citing works
Strange Attractors for Periodically Forced Parabolic Equations
Lu, K., Wang, Q., & Young, L.-S. (2012) · Memoirs of the American Mathematical Society · doi:10.1090/s0065-9266-2012-00669-1 · Cited by 36 · see citing works
Albers, D. J., Elhadad, N., Claassen, J., Perotte, R., Goldstein, A., & Hripcsak, G. M. (2018) · Journal of Biomedical Informatics · doi:10.1016/j.jbi.2018.01.004 · Cited by 25 · see citing works
Self-citationFROM LIMIT CYCLES TO STRANGE ATTRACTORS
Ott, W., & Stenlund, M. (2013) · Cited by 24 · see citing works
Self-citationFrom Limit Cycles to Strange Attractors
Ott, W., & Stenlund, M. (2010) · Communications in Mathematical Physics · doi:10.1007/s00220-010-0994-y · Cited by 23 · see citing works
Self-citationDynamical profile of a class of rank-one attractors
Wang, Q., & Young, L.-S. (2012) · Ergodic Theory and Dynamical Systems · doi:10.1017/s014338571200020x · Cited by 17 · see citing works
Delay-induced uncertainty for a paradigmatic glucose–insulin model
Karamched, B., Hripcsak, G., Albers, D., & Ott, W. (2021) · Chaos: An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/5.0027682 · Cited by 12 · see citing works
Self-citationStrange Attractors in Periodically-Kicked Degenerate Hopf Bifurcations
Ott, W. (2008) · Communications in Mathematical Physics · doi:10.1007/s00220-008-0499-0 · Cited by 10 · see citing works
Self-citationSTRANGE ATTRACTORS IN PERIODICALLY-KICKED DEGENERATE HOPF BIFURCATIONSPreprint
Ott, W. (2012) · Cited by 10 · see citing works
Self-citationReduced model for female endocrine dynamics: Validation and functional variations
Graham, E. J., Elhadad, N., & Albers, D. J. (2023) · Mathematical Biosciences · doi:10.1016/j.mbs.2023.108979 · Cited by 8 · see citing works
Self-citationUrteaga, I., Bertin, T., Hardy, T. M., Albers, D., & Elhadad, N. (2019) · Machine Learning in Health Care · doi:10.48550/arxiv.1908.10226 · Cited by 5 · see citing works
Self-citationStroh, J., Bennett, T. D., Kheyfets, V., & Albers, D. J. (2020) · bioRxiv · doi:10.1101/2020.06.26.174540 · Cited by 4 · see citing works
Self-citation
Flagged first, then by citations
Research works printed but not linked: 1
- Keener J. Sneyd J. (1998). Mathematical physiology, interdisciplinary applied mathematics, vol. 8. New York: Springer-Verlag, xx+766.
Cited by
Sorted by citations
Stochastic switching of delayed feedback suppresses oscillations in genetic regulatory systems
Karamched, B. R., & Miles, C. E. (2023) · Journal of The Royal Society Interface · doi:10.1098/rsif.2023.0059 · Cited by 9 · see citing works
Self-citationAlbers, D. J., Sirlanci, M., Levine, M. E., Claassen, J., Der-Nigoghossian, C. A., & Hripcsak, G. M. (2023) · Journal of Biomedical Informatics · doi:10.1016/j.jbi.2023.104477 · Cited by 8 · see citing works
Self-citationThe progression of secondary diabetes: A review of modeling studies
Yang, B., Li, J., Haller, M. J., Schatz, D. A., & Rong, L. (2022) · Frontiers in Endocrinology · doi:10.3389/fendo.2022.1070979 · Cited by 6 · see citing works
“Time delays, which are common in modeling the metabolic system (82–85), may induce uncertainty and make machine learning challenging to capture chaotic phenomena (86, 87).”
BackgroundOscillations in delayed positive feedback systems
Ryzowicz, C. J., Bertram, R., & Karamched, B. R. (2024) · Physical Chemistry Chemical Physics · doi:10.1039/d4cp01867b · Cited by 3 · see citing works
Self-citationRuschel, S., & Huard, B. (2025) · The ANZIAM Journal · doi:10.1017/s1446181125100084
Integrator Sensitivity of Chaos in the Ultradian Glucose-Insulin Model
Sinha, A., Chowdhury, S., & Roychowdhury, S. (2026) · EPJ Web of Conferences · doi:10.1051/epjconf/202637001012
Predictability failure in glucose-insulin system for ICU patientsPreprint
Ghosh, D. (2026) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.64898/2026.08.26.747449
- Authors
- Karamched, B. R., Hripcsak, G., Leibel, R. L., Albers, D., & Ott, W.
- Affiliations
- Florida State University (US)
- Columbia University (US)
- Columbia University Irving Medical Center (US)
- University of Colorado Anschutz (US)
- University of Houston (US)
- Corresponding author
- Karamched, Bhargav R.
- Ott, William
- Venue
- Frontiers in Physiology
- Publisher
- Frontiers Media SA
- Published
- 2022-09-01
- Volume
- 13
- Pages
- 936101-936101
- ISSN
- 1664-042X (ISSN-L)
- PMC
- PMC9476552
- OpenAlex
- W4294031233
- Cited by
- 7
- References
- 33
- Citations by year
- 2026: 2 · 2025: 1 · 2024: 1 · 2023: 2 · 2022: 1
- FWCI
- 0.47
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Frontiers in Physiology (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Funders
- National Science Foundation (1816315)
- National Institutes of Health (LM006910)
- National Institute of Diabetes and Digestive and Kidney Diseases (P30DK026687)
- U.S. National Library of Medicine (R01LM012734, R01LM006910)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Chaos control and synchronization
- Health Sciences › Medicine › Surgery › Pancreatic function and diabetes
- Health Sciences › Medicine › Endocrinology, Diabetes and Metabolism › Diabetes Management and Research
- Keywords
- glucose-insulin system, temporal chaos, homeostasis, meal ingestion, obesity, type 2 diabetes, intrinsic parameters
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