Journal Article

Analysis of extrema of heartbeat time series in exercise test

Camillo Cammarota and Mario Curione

in Mathematical Medicine and Biology: A Journal of the IMA

Published on behalf of Institute of Mathematics and its Applications

Volume 25, issue 1, pages 87-97
Published in print March 2008 | ISSN: 1477-8599
Published online April 2008 | e-ISSN: 1477-8602 | DOI:
Analysis of extrema of heartbeat time series in exercise test

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  • Applied Mathematics
  • Biomathematics and Statistics


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The heartbeat time series of the electrocardiogram recorded during exercise test clearly reflects the physiological control mechanism of the autonomic nervous system on heart rate. This series shows both decreasing and increasing trends and variability of the variance. We analyse the series of intervals between two consecutive extrema, i.e. the durations of accelerations or decelerations of heart rate. We compute the distribution of the length of these intervals and their mean in a model of stationary independent variables, where they are independent of the variables’ distribution. We use the mean length as discriminant statistics to compare stress and recovery phases. Data analysis performed over the heartbeat series of 14 healthy subjects shows significant difference between stress and recovery.

Keywords: exercise test; extrema; heartbeat; time series; RR interval

Journal Article.  0 words. 

Subjects: Applied Mathematics ; Biomathematics and Statistics

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