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Models for the Insulin Response to Intravenous Glucose

Hagander, Per LU ; Tranberg, Karl-Göran LU ; Thorell, Jan and DiStefano III, Joseph (1978) In Mathematical Biosciences 42. p.15-29
Abstract
The Grodsky packet storage model describes many features of insulin release, but at present more or less arbitrary simplifications are necessary. The consequences of various simplifications are discussed, especially with regard to identification of parameters thought to be of importance for glucose tolerance. In particular, the insulin release dynamics of the ordinary intravenous glucose tolerance test is examined. The proposed model contains the following features: It considers arterial rather than venous blood glucose concentration as the stimulus, it takes the glucose injection time into account, and it contains a positive derivative term during the rise of the glucose concentration. When the insulin elimination-rate time constant is... (More)
The Grodsky packet storage model describes many features of insulin release, but at present more or less arbitrary simplifications are necessary. The consequences of various simplifications are discussed, especially with regard to identification of parameters thought to be of importance for glucose tolerance. In particular, the insulin release dynamics of the ordinary intravenous glucose tolerance test is examined. The proposed model contains the following features: It considers arterial rather than venous blood glucose concentration as the stimulus, it takes the glucose injection time into account, and it contains a positive derivative term during the rise of the glucose concentration. When the insulin elimination-rate time constant is fixed to an a priori value, model fitting gives a clear quantification of the sensitivity of early and late insulin release to glucose. (Less)
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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Mathematical Biosciences
volume
42
pages
15 - 29
publisher
Elsevier
external identifiers
  • scopus:0018041875
ISSN
0025-5564
DOI
10.1016/0025-5564(78)90003-2
language
English
LU publication?
yes
id
3a8df66b-4921-40c4-8ba3-f26195178783
date added to LUP
2016-06-24 15:23:38
date last changed
2021-01-03 09:22:15
@article{3a8df66b-4921-40c4-8ba3-f26195178783,
  abstract     = {{The Grodsky packet storage model describes many features of insulin release, but at present more or less arbitrary simplifications are necessary. The consequences of various simplifications are discussed, especially with regard to identification of parameters thought to be of importance for glucose tolerance. In particular, the insulin release dynamics of the ordinary intravenous glucose tolerance test is examined. The proposed model contains the following features: It considers arterial rather than venous blood glucose concentration as the stimulus, it takes the glucose injection time into account, and it contains a positive derivative term during the rise of the glucose concentration. When the insulin elimination-rate time constant is fixed to an a priori value, model fitting gives a clear quantification of the sensitivity of early and late insulin release to glucose.}},
  author       = {{Hagander, Per and Tranberg, Karl-Göran and Thorell, Jan and DiStefano III, Joseph}},
  issn         = {{0025-5564}},
  language     = {{eng}},
  pages        = {{15--29}},
  publisher    = {{Elsevier}},
  series       = {{Mathematical Biosciences}},
  title        = {{Models for the Insulin Response to Intravenous Glucose}},
  url          = {{http://dx.doi.org/10.1016/0025-5564(78)90003-2}},
  doi          = {{10.1016/0025-5564(78)90003-2}},
  volume       = {{42}},
  year         = {{1978}},
}