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

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 autocorrelati...

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Main Authors: Khovanova, N, Khovanov, I, Sbano, L, Griffiths, F, Holt, T
Format: Journal article
Language:English
Published: 2013
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author Khovanova, N
Khovanov, I
Sbano, L
Griffiths, F
Holt, T
author_facet Khovanova, N
Khovanov, I
Sbano, L
Griffiths, F
Holt, T
author_sort Khovanova, N
collection OXFORD
description 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. © 2012 Elsevier Ireland Ltd.
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spelling oxford-uuid:d0710790-6c9b-40a3-80c7-dd5b2eac79652022-03-27T07:49:51ZCharacterisation of linear predictability and non-stationarity of subcutaneous glucose profilesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d0710790-6c9b-40a3-80c7-dd5b2eac7965EnglishSymplectic Elements at Oxford2013Khovanova, NKhovanov, ISbano, LGriffiths, FHolt, TContinuous 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. © 2012 Elsevier Ireland Ltd.
spellingShingle Khovanova, N
Khovanov, I
Sbano, L
Griffiths, F
Holt, T
Characterisation of linear predictability and non-stationarity of subcutaneous glucose profiles
title Characterisation of linear predictability and non-stationarity of subcutaneous glucose profiles
title_full Characterisation of linear predictability and non-stationarity of subcutaneous glucose profiles
title_fullStr Characterisation of linear predictability and non-stationarity of subcutaneous glucose profiles
title_full_unstemmed Characterisation of linear predictability and non-stationarity of subcutaneous glucose profiles
title_short Characterisation of linear predictability and non-stationarity of subcutaneous glucose profiles
title_sort characterisation of linear predictability and non stationarity of subcutaneous glucose profiles
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