The Point of Maximum Curvature as a Marker for Physiological Time Series

DOI

10.2991/jnmp.2008.15.s3.38How to use a DOI?

Abstract

We present a geometric analysis of the model of Stirling et al. [14]. 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 et al. [14].

Copyright

© 2008, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - James Robert Stirling
AU  - Maria Zakynthinaki
PY  - 2008
DA  - 2008/10/01
TI  - The Point of Maximum Curvature as a Marker for Physiological Time Series
JO  - Journal of Nonlinear Mathematical Physics
SP  - 396
EP  - 406
VL  - 15
IS  - supplement 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.s3.38
DO  - 10.2991/jnmp.2008.15.s3.38
ID  - Stirling2008
ER  -