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
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Quantitative estimation of insulin sensitivity.
Bergman, R. N., Ider, Y. Z., Bowden, C. R., & Cobelli, C. (1979) · American Journal of Physiology-Endocrinology and Metabolism · doi:10.1152/ajpendo.1979.236.6.e667 · Cited by 1,874
Assessment of Insulin Sensitivityin Vivo*
Bergman, R. N., Finegood, D. T., & Ader, M. (1985) · Endocrine Reviews · doi:10.1210/edrv-6-1-45 · Cited by 1,072
Diabetes: Models, Signals, and Control
Cobelli, C., Dalla Man, C., Sparacino, G., Magni, L., De Nicolao, G., & Kovatchev, B. P. (2009) · IEEE Reviews in Biomedical Engineering · doi:10.1109/rbme.2009.2036073 · Cited by 511
“intravenous administration of glucose, was the pioneering study of Bolie in 1961 [29]”
A model-based algorithm for blood glucose control in Type I diabetic patients
Parker, R. S., Doyle, F., & Peppas, N. A. (1999) · IEEE Transactions on Biomedical Engineering · doi:10.1109/10.740877 · Cited by 500
“Many approaches to modeling the human glucose-insulin system have been taken [9], [17]–[19], starting from the initial glucose modeling work of Bolie [20].”
MethodMakroglou, A., Li, J., & Kuang, Y. (2006) · Applied Numerical Mathematics · doi:10.1016/j.apnum.2005.04.023 · Cited by 367
“One of the pioneering papers in this field is Bolie (1961) [19] according to Derouich and Boutayeb (2002, p.”
Background
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
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