MODEL1006230045
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is described by: http://identifiers.org/pubmed/11035997
parameter: 865564
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units def: 411006
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name: Schlosser2000_GlucoseInsulinFeedback_BetaCells
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notes: This a model from the article: Modeling insulin kinetics: responses to a single oral glucose administration or ambulatory-fed conditions. Lenbury Y, Ruktamatakul S, Amornsamarnkul S. Biosystems 2001 Jan;59(1):15-25 11226623 , Abstract: This paper presents a nonlinear mathematical model of the glucose-insulin feedback system, which has been extended to incorporate the beta-cells' function on maintaining and regulating plasma insulin level in man. Initially, a gastrointestinal absorption term for glucose is utilized to effect the glucose absorption by the intestine and the subsequent release of glucose into the bloodstream, taking place at a given initial rate and falling off exponentially with time. An analysis of the model is carried out by the singular perturbation technique in order to derive boundary conditions on the system parameters which identify, in particular, the existence of limit cycles in our model system consistent with the oscillatory patterns often observed in clinical data. We then utilize a sinusoidal term to incorporate the temporal absorption of glucose in order to study the responses in the patients under ambulatory-fed conditions. A numerical investigation is carried out in this case to construct a bifurcation diagram to identify the ranges of parametric values for which chaotic behavior can be expected, leading to interesting biological interpretations. This model was taken from the CellML repository and automatically converted to SBML. The original model was: Lenbury Y, Ruktamatakul S, Amornsamarnkul S. (2000) - version=1.0 The original CellML model was created by: Catherine Lloyd c.lloyd@auckland.ac.nz The University of Auckland This model originates from BioModels Database: A Database of Annotated Published Models (http://www.ebi.ac.uk/biomodels/). It is copyright (c) 2005-2011 The BioModels.net Team. To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public do…
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W3 CDTF: Fri Jun 25 14:11:07 BST 2010

W3 CDTF: Fri Jun 25 14:11:07 BST 2010

ORG:
  orgname: University of Auckland
n:
  given: Catherine
  family: Lloyd

W3 CDTF: Fri Jun 25 14:11:07 BST 2010

ORG:
  orgname: University of Auckland
n:
  given: Catherine
  family: Lloyd

ORG:
  orgname: University of Auckland
n:
  given: Catherine
  family: Lloyd

W3 CDTF: Fri Jun 25 14:11:07 BST 2010