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Structural identifiability and indistinguishability analyses of the minimal model and a euglycemic hyperinsulinemic clamp model for glucose–insulin dynamics
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Chin, Sze Vone and Chappell, M. J. (Michael J.) (2011) Structural identifiability and indistinguishability analyses of the minimal model and a euglycemic hyperinsulinemic clamp model for glucose–insulin dynamics. Computer Methods and Programs in Biomedicine, Volume 104 (Number 2). pp. 120-134. doi:10.1016/j.cmpb.2010.08.012 ISSN 0169-2607.
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Official URL: http://dx.doi.org/10.1016/j.cmpb.2010.08.012
Abstract
Many mathematical models have been developed to describe glucose-insulin kinetics as a means of analysing the effective control of diabetes. This paper concentrates on the structural identifiability analysis of certain well-established mathematical models that have been developed to characterise glucose-insulin kinetics under different experimental scenarios. Such analysis is a pre-requisite to experiment design and parameter estimation and is applied for the first time to these models with the specific structures considered. The analysis is applied to a basic (original) form of the Minimal Model (MM) using the Taylor Series approach and a now well-accepted extended form of the MM by application of the Taylor Series approach and a form of the Similarity Transformation approach. Due to the established inappropriate nature of the MM with regard to glucose clamping experiments an alternative model describing the glucose-insulin dynamics during a Euglycemic Hyper-insulinemic Clamp (EIC) experiment was considered. Structural identifiability analysis of the EIC model is also performed using the Taylor Series approach and shows that, with glucose infusion as input alone, the model is structurally globally identifiable. Additional analysis demonstrates that the two different model forms are structurally distinguishable for observation of both glucose and insulin.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | R Medicine > RC Internal medicine | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | ||||
| Library of Congress Subject Headings (LCSH): | Glucose -- Metabolism -- Mathematical models, Glucose tolerance tests, Parameter estimation, Insulin resistance | ||||
| Journal or Publication Title: | Computer Methods and Programs in Biomedicine | ||||
| Publisher: | Elsevier Ireland Ltd. | ||||
| ISSN: | 0169-2607 | ||||
| Official Date: | November 2011 | ||||
| Dates: |
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| Volume: | Volume 104 | ||||
| Number: | Number 2 | ||||
| Page Range: | pp. 120-134 | ||||
| DOI: | 10.1016/j.cmpb.2010.08.012 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Description: | 7th IFAC Symposium on Modelling and Control in Biomedical Systems |
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