The DOI matches its Crossref record.
Coefficients of normal blood glucose regulation
Abstract
A previously formulated glucose-insulin feed-back theory was simplified with appropriate assumptions for the purpose of determining which physiological sensitivity coefficients dominate the mathematical characteristics of the normal insulin and glucose tolerance curves. It was found from experimental data that these physiological coefficients approximate the well-known critical damping criteria of servomechanism theory. Correlations between theoretical and experimental results were made with some particular solutions of the necessary differential equations, obtained with the aid of an electronic analogue computer. Using a distribution volume of 17.5 liters for the 70-kg adult in three different methods of approach, it was found that the average coefficients of the insulin and glucose responses of the liver, pancreas, and peripheral tissues are approximately ⍺ = 0.780 unit/hr/unit, β = 0.208 unit/hr/g, γ = 4.34 g/hr/unit, and δ = 2.92 g/hr/g. Submitted on December 27, 1960
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Citations
Cited by
Sorted by citations
Items 301–345 of 345
A review on the existing artificial pancreas models
Nath, A., Dey, R., & Bălaş, V. E. (2022) · Elsevier eBooks · doi:10.1016/b978-0-32-390776-7.00009-6
AN OVERVIEW ON DIABETES MELLITUS: MATHEMATICAL APPROACH
Ranjani, N. S., & Mahalakshmi, M. (2022) · Journal of Pharmaceutical Negative Results · doi:10.47750/pnr.2022.13.s06.234
Glucose-Insulin Regulatory Kinetics
Loh, K. M., Ghista, D. N., & Su, B. (2023) · Elsevier eBooks · doi:10.1016/b978-0-323-95884-4.00010-x
Mathematical model of glucose concentration in blood plasma
Gutiérrez, M. M. C., & Sandoval, L. P. (2023) · Brazilian Journal of Development · doi:10.34117/bjdv9n12-101
PRODUÇÃO E AVALIAÇÃO SENSORIAL DOS LICORES ARTESANAIS A BASE DE JENIPAPO E DE TAMARINDO
de Oliveira, L. B., de Carvalho, L. B. R., & de Carvalho, L. Z. S. R. (2024) · Brazilian Journals Editora eBooks · doi:10.35587/brj.ed.0002367
INTEGRANDO CSP COM LINGUAGENS DE PROGRAMAÇÃO (INTEGRATING CSP WITH PROGRAMMING LANGUAGES)
Pereira, A. V. R., & Farias, A. (2024) · Brazilian Journals Editora eBooks · doi:10.35587/brj.ed.0002365
DIAGNÓSTICO DO ESTADO NUTRICIONAL DE HÍBRIDOS DE MILHO EM DIFERENTES FASES DE DESENVOLVIMENTO
dos Santos, M. A. (2024) · Brazilian Journals Editora eBooks · doi:10.35587/brj.ed.0002363
de Oliveira, L. B., de Medeiros, M. A., de Carvalho, L. B. R., et al. (2024) · Brazilian Journals Editora eBooks · doi:10.35587/brj.ed.0002368
Artieda-Carassa, B., García-Talledo, E., Arriola, G. C. P., et al. (2024) · Brazilian Journals Editora eBooks · doi:10.35587/brj.ed.0002364
Benavente, K. G. G., Chávez, A. S. S., Mann, L. A. J. B., et al. (2024) · Brazilian Journals Editora eBooks · doi:10.35587/brj.ed.0002366
Panunzi, S., Pompa, M., Borri, A., D’Orsi, L., & Gaetano, A. D. (2024) · SEMA SIMAI Springer series · doi:10.1007/978-3-031-60773-8_10
Adaptive Control Design with Saturation Constraints for Different Experimental Glucose Models
Karima, M., & Abdelaziz, M. (2024) · Lecture notes in electrical engineering · doi:10.1007/978-981-97-0045-5_17
Aravindakshan, M. R., Ghosh, D., Mandal, C., Venkatesh, K. V., Sarkar, J., Chakrabarti, P., & Maity, S. K. (2024) · DNA and cell biology reports. · doi:10.1089/dcbr.2024.0018
Restricting Ackerman’s Model Using Pattern Search: A Case Study of Moroccan Type 2 Diabetics
Mustapha, E.-Z., Karim, E. M., Abdellatif, E. O., et al. (2024) · Lecture notes in networks and systems · doi:10.1007/978-3-031-74491-4_51
The Impact of Misinformation on Diabetes Management Using Mathematical Models
Merat, W., & Nuiro, S. P. (2025) · Industrial and applied mathematics · doi:10.1007/978-981-96-1925-2_6
Modeling Glucose-Insulin Dynamics with Delay Differential Equations
Rihan, F. A., Udhayakumar, K., Anwar, M. N., & Mohammad, M. (2025) · Communications in computer and information science · doi:10.1007/978-3-031-94039-2_2
Fuller, J. (2025) · Oxford University Press eBooks · doi:10.1093/9780190066178.002.0004
Fuller, J. (2025) · Oxford University Press eBooks · doi:10.1093/9780190066178.003.0002
Medical Interventions and Risk
Fuller, J. (2025) · Oxford University Press eBooks · doi:10.1093/9780190066178.003.0009
Medical Evidence and Prediction
Fuller, J. (2025) · Oxford University Press eBooks · doi:10.1093/9780190066178.003.0008
The Nature of Chronic Diseases and Mental Disorders
Fuller, J. (2025) · Oxford University Press eBooks · doi:10.1093/9780190066178.003.0006
Fuller, J. (2025) · Oxford University Press eBooks · doi:10.1093/9780190066178.003.0011
Fuller, J. (2025) · Oxford University Press eBooks · doi:10.1093/9780190066178.003.0014
Causation and Classification of Disease
Fuller, J. (2025) · Oxford University Press eBooks · doi:10.1093/9780190066178.003.0005
Fuller, J. (2025) · Oxford University Press eBooks · doi:10.1093/9780190066178.003.0013
Theories of Contagion and Cancer
Fuller, J. (2025) · Oxford University Press eBooks · doi:10.1093/9780190066178.003.0003
Effect Measures and the Sufficient-Component Cause Model
Fuller, J. (2025) · Oxford University Press eBooks · doi:10.1093/9780190066178.005.0001
Fuller, J. (2025) · Oxford University Press eBooks · doi:10.1093/9780190066178.003.0010
Applications of System Identification
Kalaba, R. E., & Spingarn, K. (1982) · Springer eBooks · doi:10.1007/978-1-4684-7662-0_7
The measurement and modelling of blood glucose dynamics in man
Cramp, D. G. (1975) · UCL Discovery (University College London)
Kojima, F., Morishita, S., Uda, S., Yutsudo, N., Ogawa, Y., & Kubota, H. (2025) · PLoS ONE · doi:10.1371/journal.pone.0337739
Amina, E., Imane, D., Hanane, F., et al. (2026) · Scientific African · doi:10.1016/j.sciaf.2026.e03201
Stochastic dynamic of intravenous glucose-insulin model
Waezizadeh, T., & Izadi, M. (2026) · Journal of Inequalities and Applications · doi:10.1186/s13660-026-03445-4
Automatic Glycemia Regulation of Type I Diabetes
MohammadRidha, T. (2017) · theses.fr (ABES) · doi:10.70675/c8095ce6z5ef9z48edz90faz7d0b926f23a3
Qualitative analysis of a glucose-insulin dynamics model with time delay in insulin action
Liu, S., Li, J., Ma, L., & Zhang, K. (2026) · Discrete and Continuous Dynamical Systems - B · doi:10.3934/dcdsb.2026063
Dynamics of a multi-delay glucose-insulin-glucagon system under dual-hormone impulsive control
Liu, S., Lu, T., & Huang, M. (2026) · Advances in Continuous and Discrete Models · doi:10.1186/s13662-026-04094-z
“Among them, the minimal model proposed by Bergman et al. [15] has remained a classical framework and inspired numerous extensions [16, 17].”
Time-fractional optimal control in the Bergman model for type 1 diabetes
Amina, E., Karim, M., Ferjouchia, H., Youssef, M. Z., & Zaky, M. A. (2026) · AIMS Mathematics · doi:10.3934/math.2026546
Vagal activation inhibits insulin release through neuronal nitric oxide synthase in obese male mice
Hashiuchi, E., Inaba, Y., Sugimoto, H., Kimura, K., Watanabe, H., Kajino, M., Asahara, S., Kobayashi, M., Kikuchi, O., Hayashi, Y., et al. (2026) · Science Signaling · doi:10.1126/scisignal.adz8805
Madani, N. (2026) · Journal of Computational Science · doi:10.1016/j.jocs.2026.102932 · Cited by 1
Multiscale kinetic modeling of polyphenol-regulated starch digestion
Nath, A., & Avvari, R. K. (2026) · Journal of Food Engineering · doi:10.1016/j.jfoodeng.2026.113246
Computational modeling of the pancreas and pancreatic function
Félix‐Martínez, G. J. (2026) · Elsevier eBooks · doi:10.1016/b978-0-443-30263-3.00018-x
Aljebli, E. H., Messaoudi, M., Alsulami, M., et al. (2026) · Journal of Mathematics · doi:10.1155/jom/1788677
Metadata
- Authors
- Bolie, V. W.
- Affiliations
- Iowa State University (US)
- Corresponding author
- Bolie, Victor W.
- Venue
- Journal of Applied Physiology
- Publisher
- American Physiological Society
- Published
- 1961-09-01
- Volume
- 16
- Issue
- 5
- Pages
- 783-788
- ISSN
- 0161-7567 (ISSN-L)
- 8750-7587
- 1522-1601
- OpenAlex
- W2337101260
- Cited by
- 349
- References
- 0
- Citations by year
- 2026: 12 · 2025: 25 · 2024: 18 · 2023: 14 · 2022: 10 · 2021: 13 · 2020: 18 · 2019: 13 · 2018: 13 · 2017: 16 · 2016: 8 · 2015: 15 · 2014: 12 · 2013: 12 · 2012: 10
- FWCI
- 2.58
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Applied Physiology (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Health Sciences › Medicine › Endocrinology, Diabetes and Metabolism › Pancreatic function and diabetes
- Health Sciences › Medicine › Endocrinology, Diabetes and Metabolism › Diabetes Management and Research
- Health Sciences › Medicine › Endocrinology, Diabetes and Metabolism › Diabetes, Cardiovascular Risks, and Lipoproteins
- Keywords
- blood glucose regulation, glucose tolerance curve, critical damping, volume of distribution, glucose-insulin dynamics
- MeSH terms
- Blood Glucose, Humans, Carbohydrate Metabolism
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
