Generation of ECG signals from a reaction-diffusion model spatially discretized

Quiroz-Juárez, Mario A.; Jiménez-Ramírez, Omar; Vázquez-Medina, Rubén; Breña‐Medina, Víctor F.; Aragón, J. L.; Barrio, Rafael A.

doi:10.1038/s41598-019-55448-5

Cited by 46 publications

(37 citation statements)

References 41 publications

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“…where K 2 and C are constant. We immediately notice that, as t → +∞, form system (18), γ(t) → 1 and s(t) → 0 so that the expected periodicity vanishes. Thus, this case must be discarded.…”

Section: Case (C)mentioning

confidence: 91%

“…Furthermore, the creation of cardiac models has the undoubted advantage of characterizing the entire cardiac cycle, with the possibility of simulating highly dangerous cardiac disorders [17]. With the aim of generating ECGs, many papers have been published, including [18], in which, to generate ECGs, discretized reaction-diffusion systems to produce a set of three nonlinear oscillators simulating the main pacemakers in the heart were exploited. Moreover, the availability of synthetic ECG signals with or without distortions allows the exploitation of consolidated signal processing algorithms [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

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A Modified Heart Dipole Model for the Generation of Pathological ECG Signals

2020

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In this paper, we introduce a new dynamic model of simulation of electrocardiograms (ECGs) affected by pathologies starting from the well-known McSharry dynamic model for the ECGs without cardiac disorders. In particular, the McSharry model has been generalized (by a linear transformation and a rotation) for simulating ECGs affected by heart diseases verifying, from one hand, the existence and uniqueness of the solution and, on the other hand, if it admits instabilities. The results, obtained numerically by a procedure based on a Four Stage Lobatto IIIa formula, show the good performances of the proposed model in producing ECGs with or without heart diseases very similar to those achieved directly on the patients. Moreover, verified that the ECGs signals are affected by uncertainty and/or imprecision through the computation of the linear index and the fuzzy entropy index (whose values obtained are close to unity), these similarities among ECGs signals (with or without heart diseases) have been quantified by a well-established fuzzy approach based on fuzzy similarity computations highlighting that the proposed model to simulate ECGs affected by pathologies can be considered as a solid starting point for the development of synthetic pathological ECGs signals.

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Section: Case (C)mentioning

confidence: 91%

Section: Introductionmentioning

confidence: 99%

A Modified Heart Dipole Model for the Generation of Pathological ECG Signals

2020

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“…As described above, the ECG is a compound signal with many frequency components generated during heart contraction dynamics in addition to the PPT frequency components which associated with distinct neuralphysiological processes. Any abnormality in the processes and heart contraction dynamics could lead to variations in the PDS [22] [38], suggesting the importance and the necessity to extract frequency domain indicators for the diagnosis of cardiovascular diseases. In Fig.…”

Section: B Power Spectral Analysis Of Clinical Ecg Signalsmentioning

confidence: 99%

Interactive Effects of HRV and P-QRS-T on the Power Density Spectra of ECG Signals

Xiang

Clifton

et al. 2021

IEEE J. Biomed. Health Inform.

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Different from the traditional methods of assessing the cardiac activities through heart rhythm statistics or P-QRS-T complexes separately, this study demonstrates their interactive effects on the power density spectrum (PDS) of ECG signal with applications for the diagnosis of ST-segment elevation myocardial infarction (STEMI) diseases. Firstly, a mathematical model of the PDS of ECG signal with a random pacing pulse train (PPT) mimicking S-A node firings was derived. Secondly, an experimental PDS analysis was performed on clinical ECG signals from 49 STEMI patients and 42 healthy subjects in PTB Diagnostic Database. It was found that besides the interactive effects which are consistent between theoretical and experimental results, the ECG PDSs of STEMI patients exhibited consistently significant power shift towards lower frequency range in ST-elevated leads in comparison with those of reference leads and leads of health subjects with the highest median frequency shift ratios at 51.39 ± 12.94% found in anterior MI. Thirdly, the results of ECG simulation with systematic changes in PPT firing statistics over various lengths of ECG data ranging from 10s to 60 mins revealed that the mean and median frequency parameters were less affected by the heart rhythm statistics and the data length but more depended on the alterations of P-QRS-T complexes, which were further confirmed on 33 more STEMI patients in European ST-T Database, demonstrating that the frequency indexes could be potentially used as alternative indicators for STEMI diagnosis even with ultrashort-term ECG recordings suitable for wearable and mobile health applications in living-free environments.

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“…The nonlinear nature of both electrocardiograms (ECG) and heart rate variability (HRV) is widely documented [1]. This study explains several attempts to introduce indices purportedly characterizing nonlinear heart dynamics [1][2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

“…Cardiovascular signals seem to emerge from an intricate combination of periodic, quasi-periodic, linear and nonlinear, Gaussian and non-Gaussian, stochastic and deterministic interactions [4][5][6]. Accordingly, the implementation of methods based on considering some of these interactions while ignoring the contribution of others can lead to deceptive interpretations.…”

Section: Introductionmentioning

confidence: 99%

Introducing BisQ, A Bicoherence-Based Nonlinear Index to Explore the Heart Rhythm

Hernández-Caceres

González-Fernández

Ontivero-Ortega

et al. 2020

MCA

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Nonlinear frequency coupling is assessed with bispectral measures, such as bicoherence. In this study, BisQ, a new bicoherence-derived index, is proposed for assessing nonlinear processes in cardiac regulation. To find BisQ, 110 ten-minute ECG traces obtained from 55 participants were initially studied. Via bispectral analysis, a bicoherence matrix (BC) was obtained from each trace (0.06 to 1.8 Hz with a resolution of 0.01 Hz). Each frequency pair in BC was tested for correlation with the HRV recurrent quantification analysis (RQA) index Lmean, obtained from tachograms from the same ECG trace. BisQ is the result of adding BC values corresponding to the three frequency pairs exhibiting the highest correlation with Lmean. BisQ values were estimated for different groups of subjects: healthy persons, persons with arrhythmia, persons with epilepsy, and preterm neonates. ECG traces from persons with arrhythmia showed no significant differences in BisQ values respect to healthy persons, while persons with epilepsy and neonates showed higher BisQ values (p < 0.05; Mann-Whitney U-test). BisQ reflects nonlinear interactions at the level of sinus-and atrial-ventricular nodes, and most likely cardiorespiratory coupling as well. We expect that BisQ will allow for further exploration of cardiac nonlinear dynamics, complementing available HRV indices.

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Generation of ECG signals from a reaction-diffusion model spatially discretized

Cited by 46 publications

References 41 publications

A Modified Heart Dipole Model for the Generation of Pathological ECG Signals

A Modified Heart Dipole Model for the Generation of Pathological ECG Signals

Interactive Effects of HRV and P-QRS-T on the Power Density Spectra of ECG Signals

Introducing BisQ, A Bicoherence-Based Nonlinear Index to Explore the Heart Rhythm

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