Title: A mathematical model of the cardiovascular system under graded exercise levels

Authors: Lu Wang; Yi Zhang; Ying Guo; Nghia Nguyen; Daoming Zhang; Branko G. Celler

Addresses: Biomedical Systems Laboratory, School of Electrical Engineering and Telecommunications, University of New South Wales, UNSW Sydney NSW 2052, Australia; Cochlear Ltd., Lane Cove, NSW 2066, Australia ' Centre of Health Technologies, Faculty of Engineering and Information Technology, University of Technology, Sydney, Australia ' Autonomous Systems Lab, CSIRO ICT Center, Sydney, Australia ' Centre of Health Technologies, Faculty of Engineering and Information Technology, University of Technology, Sydney, Australia ' TeleMedCare Pty Ltd, Sydney, Australia; Biomedical Systems Laboratory, School of Electrical Engineering and Telecommunications, University of New South Wales, UNSW Sydney NSW 2052, Australia ' CSIRO ICT Centre, PO Box 76, EPPING NSW 1710, Sydney, Australia; Biomedical Systems Laboratory, School of Electrical Engineering and Telecommunications, University of New South Wales, UNSW Sydney, NSW 2052, Australia

Abstract: This paper presents a nonlinear cardiovascular model for the study of cardiovascular response during graded exercise. There are two major innovations embedded in this model. Firstly, by tuning only three parameters, all major cardiovascular variables were accurately reproduced. Secondly, a robust and efficient function, which was built up using Support Vector Machine Regression, was added to the model to estimate metabolic demand. Experimental results for ten untrained males indicated that the established model is accurate in the sense that its predicted output was in good agreement with the measured data.

Keywords: support vector machine; SVM regression; oxygen uptake rate; cardiac output; mathematical modelling; cardiovascular system modelling; nonlinear modelling; cardiovascular response; graded exercise; heart rate; metabolic demand; exercises.

DOI: 10.1504/IJBRA.2012.049627

International Journal of Bioinformatics Research and Applications, 2012 Vol.8 No.5/6, pp.455 - 473

Published online: 10 Oct 2012 *

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