Stochastic optimization for modeling physiological time series: application to the heart rate response to exercise

M. S. Zakynthinaki, J. R. Stirling

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16 Citations (Scopus)

Abstract

Stochastic optimization is applied to the problem of optimizing the fit of a model to the time series of raw physiological (heart rate) data. The physiological response to exercise has been recently modeled as a dynamical system. Fitting the model to a set of raw physiological time series data is, however, not a trivial task. For this reason and in order to calculate the optimal values of the parameters of the model, the present study implements the powerful stochastic optimization method ALOPEX IV, an algorithm that has been proven to be fast, effective and easy to implement. The optimal parameters of the model, calculated by the optimization method for the particular athlete, are very important as they characterize the athlete's current condition. The present study applies the ALOPEX IV stochastic optimization to the modeling of a set of heart rate time series data corresponding to different exercises of constant intensity. An analysis of the optimization algorithm, together with an analytic proof of its convergence (in the absence of noise), is also presented. © 2006 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)98-108
JournalComputer Physics Communications
Volume176
Issue number2
DOIs
Publication statusPublished - 15 Jan 2007

Keywords

  • ALOPEX stochastic optimization
  • Heart rate
  • Modeling
  • Nonlinear dynamical systems
  • Physiological time series

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