Heart rhythm analysis using a nonlinear dynamics perspective

Melo, Augusto Luiz Cheffer de; Savi, Marcelo A.; Pereira, Tiago Leite; Paula, Aline Souza de

doi:10.1016/j.apm.2021.03.014

Cited by 19 publications

(27 citation statements)

References 56 publications

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“…The literature dealing with dipole models for the electric activity of the heart is very extensive 5,6,7,8,9,10,11,12,13,14,15 . Alternative approaches dealing with specific aspects of the heart's electric activity are also too many to be easily summarised 16,17,18,19,20,21 .…”

Section: Mainmentioning

confidence: 99%

A Unique Cardiac Electrophysiological 3D Model

Rueda¹,

Rodríguez-Collado²,

Fernández³

et al. 2022

Preprint

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Mathematical models of cardiac electrical activity are one of the most important tools for elucidating information about the heart diagnostic. Even though it is one of the major problems in biomedical research, an efficient mathematical formulation for this modelling has still not been found. In this paper, we present an outstanding mathematical model. It relies on a five dipole representation of the cardiac electric source, each one associated with the well-known waves of the electrocardiogram signal. The mathematical formulation is simple enough to be easily parametrized and rich enough to provide realistic signals. Beyond the physical basis of the model, the parameters are physiologically interpretable as they characterize the wave shape, similar to what a physician would look for in signals, thus making them very useful in diagnosis. The model accurately reproduces the electrocardiogram and vectocardiogram signals of any diseased or healthy heart, bringing together different systems in a single model. Furthermore, a novel algorithm accurately identifies the model parameters. This new discovery represents a revolution in electrocardiography research, solving one of the main problems in this field. It is especially useful for the automatic diagnosis of cardiovascular diseases, patient follow-up or decision-making on new therapies.

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Section: Mainmentioning

confidence: 99%

A Unique Cardiac Electrophysiological 3D Model

Rueda¹,

Rodríguez-Collado²,

Fernández³

et al. 2022

Preprint

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“…Therefore, the goal is to design u s such that e converge to zero as t → ∞, i.e., the trajectory of the slave system asymptotically approaches the trajectory of the master system. The i th fuzzy control rule for TSFLSC is defined as in (22)…”

Section: Design Of Ts-fuzzy Logic Synchronisation Controllers (Tsflscs) For Synchronisation Of Chaos In Fopmsmentioning

confidence: 99%

“…The FO chaotic epidemic model of HIV comprising AIDS related cancer cells suggests that FOMs are better predictors and significantly impact the dynamic progress [ 21 ]. Also, nonlinear dynamic approach has been used to analyse cardiovascular diseases [ 22 ], a study especially relevant in the present COVID situation where heart patients are at greater risks of severe infections. Our work therefore, applies the superior benefits of fractional calculus and nonlinear dynamics approach to investigate the presence of chaos in the dispersal of plague epidemic and help in better understanding of the physiological functioning of infectious diseases.…”

Section: Introductionmentioning

confidence: 99%

A revisit to the past plague epidemic (India) versus the present COVID-19 pandemic: fractional-order chaotic models and fuzzy logic control

Borah

Roy

Kapitaniak

et al. 2021

Eur. Phys. J. Spec. Top.

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India is one of the worst hit regions by the second wave of COVID-19 pandemic and ‘Black fungus’ epidemic. This paper revisits the Bombay Plague epidemic of India and presents six fractional-order models (FOMs) of the epidemic based on observational data. The models reveal chaotic dispersion and interactive coupling between multiple species of rodents. Suitable controllers based on fuzzy logic concept are designed to stabilise chaos to an infection-free equilibrium as well as to synchronise a chaotic trajectory with a regular non-chaotic one so that the unpredictability dies out. An FOM of COVID-19 is also proposed that displays chaotic propagation similar to the plague models. The index of memory and heredity that characterise FOMs are found to be crucial parameters in understanding the progression of the epidemics, capture the behaviour of transmission more accurately and reveal enriched complex dynamics of periodic to chaotic evolution, which otherwise remain unobserved in the integral models. The theoretical analyses successfully validated by numerical simulations signify that the results of the past Plague epidemic can be a pathway to identify infected regions with the closest scenarios for the present second wave of Covid-19, forecast the course of the outbreak, and adopt necessary control measures to eliminate chaotic transmission of the pandemic.

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“…The literature dealing with dipole models for the electric activity of the heart is very extensive. 5 , 12 , 13 , 14 , 15 , 16 , 32 , 37 , 38 , 54 , 58 Alternative approaches dealing with specific aspects of the heart’s electric activity are also too many to be easily summarised. 21 , 22 , 30 , 50 , 51 , 52 Furthermore, many papers since the early 1950s have been devoted to vectorcardiography (VCG) models.…”

Section: Introductionmentioning

confidence: 99%