The point of maximum curvature as a marker for physiological time series

Stirling, James and Zakynthinaki, María S. (2008). The point of maximum curvature as a marker for physiological time series. "Journal of Nonlinear Mathematical Physics", v. 15 (n. 3 supp); pp. 396-406. ISSN 1402-9251. https://doi.org/10.2991/jnmp.2008.15.s3.38.

Description

Title: The point of maximum curvature as a marker for physiological time series
Author/s:
  • Stirling, James
  • Zakynthinaki, María S.
Item Type: Article
Título de Revista/Publicación: Journal of Nonlinear Mathematical Physics
Date: November 2008
ISSN: 1402-9251
Volume: 15
Subjects:
Freetext Keywords: Stirling, heart rate time series, exercise intensity, physiological.
Faculty: Facultad de Ciencias de la Actividad Física y del Deporte (INEF) (UPM)
Department: Otro
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We present a geometric analysis of the model of Stirling. In particular we analyze the curvature of a heart rate time series in response to a step like increment in the exercise intensity. We present solutions for the point of maximum curvature which can be used as a marker of physiological interest. This marker defines the point after which the heart rate no longer continues to rapidly rise and instead follows either a steady state or slow rise. These methods are then applied to find analytic solutions for a mono exponential model which is commonly used in the literature to model the response to a moderate exercise intensity. Numerical solutions are then found for the full model and parameter values presented in Stirling.

More information

Item ID: 2533
DC Identifier: http://oa.upm.es/2533/
OAI Identifier: oai:oa.upm.es:2533
DOI: 10.2991/jnmp.2008.15.s3.38
Official URL: http://www.sm.luth.se/~norbert/home_journal/
Deposited by: Memoria Investigacion
Deposited on: 12 May 2010 09:08
Last Modified: 20 Apr 2016 12:12
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