Comput Methods Programs Biomed - Fractional dynamical model for the generation of ECG like signals from filtered coupled Van-der Pol oscillators.

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Resumo

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.

Resumo Limpo

paper incommensur fraction order fo model propos generat ecg like waveform earlier investig ecg like waveform generat base two ident vander pol vdp famili oscil coupl time delay gain paper suitabl modifi three state equat correspond nonlinear crossproduct state time delay coupl two oscil lowpass filter use concept fraction deriv result show wide varieti ecg like waveform can simul propos general model character heart condit differ physiolog condit general model ecg waveform may use understand physiolog process behind ecg signal generat normal abnorm heart condit along propos fo model optim base approach also present estim vdp oscil paramet repres realist ecg like signal

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