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Characterisation of linear predictability and non-stationarity of subcutaneous glucose profiles

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Khovanova, N. A., Khovanov, I. A., Sbano, L., Griffiths, Frances and Holt, Tim A. (2013) Characterisation of linear predictability and non-stationarity of subcutaneous glucose profiles. Computer Methods and Programs in Biomedicine, Volume 110 (Number 3). pp. 260-267. doi:10.1016/j.cmpb.2012.11.009 ISSN 0169-2607.

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Official URL: http://dx.doi.org/10.1016/j.cmpb.2012.11.009

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Abstract

Continuous glucose monitoring is increasingly used in the management of diabetes. Subcutaneous glucose profiles are characterised by a strong non-stationarity, which limits the application of correlation-spectral analysis. We derived an index of linear predictability by calculating the autocorrelation function of time series increments and applied detrended fluctuation analysis to assess the non-stationarity of the profiles. Time series from volunteers with both type 1 and type 2 diabetes and from control subjects were analysed. The results suggest that in control subjects, blood glucose variation is relatively uncorrelated, and this variation could be modelled as a random walk with no retention of ‘memory’ of previous values. In diabetes, variation is both greater and smoother, with retention of inter-dependence between neighbouring values. Essential components for adequate longer term prediction were identified via a decomposition of time series into a slow trend and responses to external stimuli. Implications for diabetes management are discussed.

Item Type: Journal Article
Subjects: Q Science > QP Physiology
R Medicine > RC Internal medicine
Divisions: Faculty of Science, Engineering and Medicine > Research Centres > Centre for Complexity Science
Faculty of Science, Engineering and Medicine > Engineering > Engineering
Faculty of Science, Engineering and Medicine > Medicine > Warwick Medical School > Health Sciences
Faculty of Science, Engineering and Medicine > Medicine > Warwick Medical School
Faculty of Science, Engineering and Medicine > Medicine > Warwick Medical School > Health Sciences > Social Science & Systems in Health (SSSH)
Library of Congress Subject Headings (LCSH): Diabetes -- Mathematical models, Non-insulin-dependent diabetes -- Mathematical models, Blood sugar -- Mathematical models, Blood sugar monitoring
Journal or Publication Title: Computer Methods and Programs in Biomedicine
Publisher: Elsevier Ireland Ltd.
ISSN: 0169-2607
Official Date: June 2013
Dates:
DateEvent
June 2013Published
Volume: Volume 110
Number: Number 3
Page Range: pp. 260-267
DOI: 10.1016/j.cmpb.2012.11.009
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 23 December 2015
Date of first compliant Open Access: 23 December 2015
Funder: Engineering and Physical Sciences Research Council (EPSRC)
Grant number: EP/C53932X/2 (EPSRC)

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