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Fractional dynamical model for the generation of ECG like signals from filtered coupled Van-der Pol oscillators

Fractional dynamical model for the generation of ECG like signals from filtered coupled Van-der Pol oscillators
Fractional dynamical model for the generation of ECG like signals from filtered coupled Van-der Pol oscillators
In this paper, an incommensurate fractional order (FO) model has been proposed to generate ECG like waveforms. Earlier investigation of ECG like waveform generation is based on two identical Van-der Pol (VdP) family of oscillators, which are coupled by time delays and gains. In this paper, we suitably modify the three state equations corresponding to the nonlinear cross-product of states, time delay coupling of the two oscillators and low-pass filtering, using the concept of fractional derivatives. Our results show that a wide variety of ECG like waveforms can be simulated from the proposed generalized models, characterizing heart conditions under different physiological conditions. Such generalization of the modelling of ECG waveforms may be useful to understand the physiological process behind ECG signal generation in normal and abnormal heart conditions. Along with the proposed FO models, an optimization based approach is also presented to estimate the VdP oscillator parameters for representing a realistic ECG like signal.
electrocardiogram (ecg), fractional calculus, delay differential equation (dde), phase space, van-der pol (vdp) oscillator
0169-2607
490-507
Das, Saptarshi
e06f2eb0-1e3e-453c-ba78-82eed18ceac9
Maharatna, Koushik
93bef0a2-e011-4622-8c56-5447da4cd5dd
Das, Saptarshi
e06f2eb0-1e3e-453c-ba78-82eed18ceac9
Maharatna, Koushik
93bef0a2-e011-4622-8c56-5447da4cd5dd

Das, Saptarshi and Maharatna, Koushik (2013) Fractional dynamical model for the generation of ECG like signals from filtered coupled Van-der Pol oscillators. Computer Methods and Programs in Biomedicine, 112 (3), 490-507. (doi:10.1016/j.cmpb.2013.08.012). (PMID:24028797)

Record type: Article

Abstract

In this paper, an incommensurate fractional order (FO) model has been proposed to generate ECG like waveforms. Earlier investigation of ECG like waveform generation is based on two identical Van-der Pol (VdP) family of oscillators, which are coupled by time delays and gains. In this paper, we suitably modify the three state equations corresponding to the nonlinear cross-product of states, time delay coupling of the two oscillators and low-pass filtering, using the concept of fractional derivatives. Our results show that a wide variety of ECG like waveforms can be simulated from the proposed generalized models, characterizing heart conditions under different physiological conditions. Such generalization of the modelling of ECG waveforms may be useful to understand the physiological process behind ECG signal generation in normal and abnormal heart conditions. Along with the proposed FO models, an optimization based approach is also presented to estimate the VdP oscillator parameters for representing a realistic ECG like signal.

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Published date: December 2013
Keywords: electrocardiogram (ecg), fractional calculus, delay differential equation (dde), phase space, van-der pol (vdp) oscillator
Organisations: Electronic & Software Systems

Identifiers

Local EPrints ID: 359308
URI: https://eprints.soton.ac.uk/id/eprint/359308
ISSN: 0169-2607
PURE UUID: e2bd19d6-ee7c-4891-8841-36cc981cd7e1

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Date deposited: 28 Oct 2013 10:55
Last modified: 09 Sep 2019 18:46

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