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R Hren

Publications and source records attributed to R Hren.

14 recordsLinked to original sources

Value and limitations of an inverse solution for two equivalent dipoles in localising dual accessory pathways.

Investigations were carried out into whether an equivalent generator consisting of two dipoles could be used to detect dual sites of ventricular activity. A computer model of the human ventricular myocardium was used to simulate activation sequences initiated at eight different pairs of sites positioned on the epicardial surface of the atrio-ventricular ring. From these sequences, 117-lead body surface potentials (covering the anterior and posterior torso), 64-lead magnetic field maps (above the anterior chest) and 128-lead magnetic field maps (above the anterior and posterior chest) were simulated and were then used to localise dual accessory pathways employing pairs of equivalent dipoles. Average localisation errors were 12 mm, 12 mm and 9 mm, respectively, when body surface potentials, 64-lead and 128-lead magnetic fields were used. The results of the study suggest that solving the inverse problem for two dipoles could provide additional information on dual accessory pathways prior to electrophysiological study.

Computer Simulation↗

The effect of nontransmural necroses on epicardial potential maps during paced activation: a simulation study.

A number of studies have indicated that epicardial potentials provide detailed spatiotemporal information about the spread of electrical activation within the ventricular wall. Here, we used a computer model to simulate activation sequences and corresponding epicardial potential maps in the ventricles damaged by localized necroses. Our findings agreed with those of experimental studies performed for epicardial pacing locus in a complete transient loss of one of the positive areas when the necrosis was located subepicardially, and in a transient gap in the expanding positive areas when the necrosis was located intramurally and subendocardially. This study--by systematically comparing simulated epicardial potential maps with those recorded on the exposed canine hearts--constitutes an important step in validation of our model.

Action Potentials↗

Noninvasive characterisation of multiple ventricular events using electrocardiographic imaging.

Distributions of epicardial potentials, calculated from body surface electrocardiograms (ECGs), were investigated to determine if they could enable detection of multiple sites of ventricular activity. An anatomical model of the human ventricular myocardium was used to simulate activation sequences initiated at nine different ventricular pairs of sites. From these sequences, body surface ECGs were simulated at 352 sites on the torso surface and then used to reconstruct epicardial potentials at 202 sites. The criterion for detection of dual ventricular events was the presence of two distinct primary potential minima in the reconstructed epicardial potentials. The shortest distance between the two events in the right ventricle that resulted in the reconstruction of epicardial potential patterns, featuring two minima, was 27 mm; the distance between the two events in the left ventricle was 23 mm. When Gaussian white noise in the simulated body surface potentials was increased from 3 microV to 15 microV and 50 microV, dual events became more difficult to distinguish. Findings indicate that calculated epicardial potentials provide useful visual information about the presence of multiple ventricular events that is not apparent in features of body surface ECGs, and could be particularly helpful in optimising mapping procedures during difficult or unsuccessful radiofrequency ablations of accessory pathways.

Action Potentials↗

Spatial resolution of epicardial pace mapping using body surface potentials.

Body surface potential maps (BSPMs) recorded during pace mapping provide an important non-invasive means for identifying local cardiac events; recent clinical studies demonstrated that endocardial pacing sites can be resolved within less than 10 mm. We sought to determine whether similar spatial resolution could be achieved during epicardial pacing. Four patients who were undergoing either heart valve replacement (one), aortocoronary bypass graft (one), or both (two) were studied. In each patient, a pair of epicardial electrodes was placed intraoperatively at the middle aspect of the right ventricular free wall. The distance between the neighbouring electrodes was 10 mm. Five days after the surgery, ECGs were acquired from 35 leads during pacing from each epicardial electrode. We determined the distributions of QRS integrals (the net area under the ECG signal) and compared integrals corresponding to pacing from each of the adjacent electrodes using statistical indices. Student's t-test was applied to these indices and in all the patients revealed that differences in distributions of QRS integral maps were statistically significant (p < 0.01). Results of our study indicate that the non-invasive acquisition of body surface ECGs could resolve epicardial breakthrough sites within 10 mm, which may be useful in facilitating therapeutic ablations in patients with ventricular tachycardias.

Aged↗

Assessment of spatial resolution of pace mapping when using body surface potentials.

Using computer simulations and statistical methods, the resolution of pace mapping when used in combination with body surface potentials was systematically investigated. In an anatomical model of the human ventricular myocardium, pre-excitation sequences were initiated at 69 sites positioned along the atrioventricular (AV) ring and corresponding body surface potential maps (BSPMs) were calculated at 32 leads placed on the anterior torso. For each time after the onset of pre-excitation (every 4 ms to 40 ms) and each root-mean-square (RMS) noise level (5, 10, 20 and 50 microV), BSPMs were cros-correlated and the spatial resolution defined as the largest pacing site separation at which the differences in correlation coefficients were not statistically significant (level p > or = 0.05). The findings indicate that when random RMS noise of 5 microV was added to the simulated BSPMs, average spatial resolution over all 60 sites was at 20 ms after the onset of pre-excitation within 3.5 +/- 0.9 mm. The results provide theoretical evidence that statistical analysis of BSPMs obtained during pace mapping can offer improved means for subcentimetre identification of accessory pathways located along the AV ring.

Body Surface Potential Mapping↗

Localization of intramural necrotic regions using electrocardiographic imaging.

Recent studies have demonstrated that electrocardiographic imaging (ECGI) is a novel noninvasive modality for exploring the spread of electrical activation within the ventricular wall. In this study, our goal was to explore the ability of ECGI in reconstructing epicardial potentials and electrograms in the ventricles damaged by localized necroses (<2 cm2). An anatomical model of the human ventricular myocardium was used to simulate activation sequences initiated at 428 epicardial and endocardial pacing sites distributed over the right ventricular and left ventricular free walls. From these realistic sequences, we simulated extracardiac potentials at epicardial (202 sites) and torso surfaces (352 sites) using boundary element model of the human torso. ECGI in terms of the L-curve was applied to compute epicardial potentials and unipolar electrograms (202 sites). Inversely computed electrograms correlated well with those simulated by an anatomical model (r > 0.9 at 68% of sites). Specifically, ECGI accurately reconstructed the following features that have been observed during measurements on the exposed canine hearts: (a) an epicardial potential pattern with a central minimum and two maxima, with the minimum positioned above the pacing site; (b) a complete transient loss of one of the positive areas in the epicardial potential pattern when the necrosis was located subepicardially; and (c) a transient gap in the expanding positive areas of the epicardial potential pattern when the necrosis was located intramurally or subendocardially. Findings of our study indicate that ECGI provides detailed reconstruction of patterns of myocardial activation in the presence of localized necroses and may be useful in the assessment of arrhythmogenic substrate in the clinical setting.

Animals↗

Value of magnetocardiographic QRST integral maps in the identification of patients at risk of ventricular arrhythmias.

It has been shown that regional ventricular repolarization properties can be reflected in body surface distributions of electrocardiographic QRST deflection areas (integrals). We hypothesize that these properties can be reflected also in the magnetocardiographic QRST areas and that this may be useful for predicting vulnerability to ventricular tachyarrhythmias. Magnetic field maps were obtained during sinus rhythm from 49 leads above the anterior chest in 22 healthy (asymptomatic) control subjects (group A) and in 29 patients with ventricular arrhythmias (group B). In each subject, the QRST deflection area was calculated for each lead and displayed as an integral map. The mean value of maximum was significantly larger in the control group A than in the patient group B (1,626+/-694 pTms vs. 582+/-547 pTms, P<0.0001). To quantitatively assess intragroup variability in the control group A and intergroup variability of the control and patient groups, we used the correlation coefficient r and covariance sigma. These indices showed significantly less intragroup than intergroup variation (e.g., in terms of sigma, 28.0x10(-6)+/-12.3x10(-6) vs. 3.4x10(-6)+/-12.5x10(-6), P<0.0001). Each QRST integral map was also represented as a weighted sum of 24 basis functions (eigenvectors) by means of Karhunen-Loeve transformation to calculate the contribution of the nondipolar eigenvectors (all eigenvectors beyond the third). This percentage nondipolar content of magnetocardiographic QRST integral maps was significantly higher in the patient group B than in the control group A (13.0%+/-9.1 % vs. 2.6%+/-2.0%, P<0.0001). Discriminations between control subjects and patients with ventricular arrhythmias based on magnitude of the maximum, covariance sigma, and nondipolar content were 90.2%, 90.2%, and 86.3% accurate, with a sensitivity of 89.7%, 93.1%, and 75.9%, and a specificity of 90.9%, 86.4%, and 100%. We have shown that magnitude of the maximum and indices of variability and nondipolarity of the magnetocardiographic QRST integral maps may predict arrhythmia vulnerability. This finding is in agreement with earlier studies that used body surface potential mapping and suggests that magneticfield mapping may also be a useful diagnostic tool for risk analysis.

Adult↗

Spatial resolution of body surface potential maps and magnetic field maps: a simulation study applied to the identification of ventricular pre-excitation sites.

The spatial resolution of body surface potential maps (BSPMs) and magnetic field maps (MFMs) is investigated by means of an anatomically accurate computer model of the human ventricular myocardium. BSPMs and MFMs are calculated for the simulated activation sequences initiated at 35 pre-excitation sites located along the atrioventricular (AV) ring of the epicardium. Changes in the BSPMs and MFMs corresponding to different pre-excitation sites are quantified in terms of the correlation coefficient r. The spatial resolution (selectivity) for a given pre-excitation site is defined as the half-distance between those neighbouring locations at which morphological features of maps, in terms of r, become distinct (r < 0.95). It is found that, at 28 ms after the onset of pre-excitation and with no noise added, this distance +/- SD, for all sites along the AV ring for the 117-lead BSPMs, is 0.83 +/- 0.32 cm, and for the 64-lead and 128-lead MFMs it is 1.54 +/- 0.84 cm and 1.15 +/- 0.43 cm, respectively. The findings suggest that, when features of non-invasively recorded electrocardiographic and magnetocardiographic map patterns are used for identifying accessory pathways in patients suffering from WPW syndrome, BSPMs are likely to provide more detailed information for guiding the ablative treatment than MFMs. For some sites MFMs provide more information. Both modalities may provide additional assistance to the cardiologist in locating the site of the accessory pathway.

Body Surface Potential Mapping↗

Accuracy of single-dipole inverse solution when localising ventricular pre-excitation sites: simulation study.

Different factors are investigated that may affect the accuracy of an inverse solution that uses a single-dipole equivalent generator, in a standardised inhomogeneous torso model, when localising the pre-excitation sites. An anatomical model of the human ventricular myocardium is used to simulate body surface potential maps (BSPMs) and magnetic field maps (MFMs) for 35 pre-excitation sites positioned on the epicardial surface along the atrioventricular ring. The sites of pre-excitation activity are estimated by the single-dipole method, and the measure for the accuracy of the localisation is the localisation error, defined as the distance between the location of the best-fitting single dipole and the actual site of pre-excitation in the ventricular model. The findings indicate that, when the electrical properties of the volume conductor and lead positions are precisely known and the 'measurement' noise is added to the simulated BSPMs and MFMs, the single-dipole method optimally localises the pre-excitation activity 20 ms after the onset of pre-excitation, within 0.71 +/- 0.28 cm and 0.65 +/- 0.30 cm using BSPMs and MFMs, respectively. When the standard torso model is used to localise the sites of onset of the pre-excitation sequence initiated in four individualised torso models, the maximum errors are as high as 2.6-3.0 cm (even though the average error, for both the BSPM and MFM localisations, remains within the 1.0-1.5 cm range). In spite of these shortcomings, it is thought that single-dipole localisations can be useful for non-invasive pre-interventional planning.

Body Surface Potential Mapping↗

A comparison of simulated QRS isointegral maps resulting from pacing at adjacent sites: implications for the spatial resolution of pace mapping using body surface potentials.

The precise localization of ventricular tachycardia (VT) foci is a prerequisite for the successful radiofrequency catheter ablation in patients. The purpose of this study was to systematically quantify over what distance adjacent sites in the right ventricular (RV) and left ventricular (LV) epicardium and LV endocardium could be distinguished by inspecting morphological features of QRS isointegral maps using statistical methods. We investigated the spatial resolution of QRS isointegral maps by means of an anatomically accurate computer model of the human ventricular myocardium that incorporates a bidomain model for simulating the realistic activation sequences and the oblique dipole model in combination with the boundary element method for calculating extracardiac potentials. In this model, we initiated activation sequences at a total of 183 epicardial and 75 LV endocardial pacing sites, positioned in three levels (basal, middle, and apical). For each of the 258 pacing sites, we calculated a set of 10 QRS isointegral maps with added Gaussian noise at 117 leads (covering the anterior and posterior torso) and at 32 leads (covering only the anterior torso), respectively. Sets of maps were then cross correlated and root-mean-square (RMS) values of difference maps were calculated for all possible pairs of pacing sites on the same level. We applied the nonparametric unpaired Kolmogorov-Smirnov test and defined the spatial resolution as the pacing site separation at which the differences in correlation coefficients and RMS differences were significant (level P < .05). We observed significant differences in maps when the distances between pacing sites were on average (+/- SD) greater than 4.3 +/- 1.0 mm. In more than 90% of pacing sites, the significant differences in maps were observed within 4 mm even when using a 32-lead mapping system. The findings of our study provide theoretical evidence that QRS isointegral maps may offer noninvasive means for preinterventional planning of the ablative treatment in localizing both endocardial and epicardial sites of origin of VT.

Body Surface Potential Mapping↗

Value of epicardial potential maps in localizing pre-excitation sites for radiofrequency ablation. A simulation study.

Using computer simulations, we systematically investigated the limitations of an inverse solution that employs the potential distribution on the epicardial surface as an equivalent source model in localizing pre-excitation sites in Wolff-Parkinson-White syndrome. A model of the human ventricular myocardium that features an anatomically accurate geometry, an intramural rotating anisotropy and a computational implementation of the excitation process based on electrotonic interactions among cells, was used to simulate body surface potential maps (BSPMs) for 35 pre-excitation sites positioned along the atrioventricular ring. Two individualized torso models were used to account for variations in torso boundaries. Epicardial potential maps (EPMs) were computed using the L-curve inverse solution. The measure for accuracy of the localization was the distance between a position of the minimum in the inverse EPMs and the actual site of pre-excitation in the ventricular model. When the volume conductor properties and lead positions of the torso were precisely known and the measurement noise was added to the simulated BSPMs, the minimum in the inverse EPMs was at 12 ms after the onset on average within 0.65 +/- 0.26 cm of the pre-excitation site. When the standard torso model was used to localize the sites of onset of the pre-excitation sequence initiated in individualized male and female torso models, the mean distance between the minimum and the pre-excitation site was 0.67 +/- 0.31 cm for the male torso and 0.82 +/- 0.53 cm for the female torso. The findings of our study indicate that a location of the minimum in EPMs computed using the inverse solution can offer non-invasive means for pre-interventional planning of the ablative treatment.

Biophysical Phenomena↗

Value of simulated body surface potential maps as templates in localizing sites of ectopic activation for radiofrequency ablation.

Body surface potential maps recorded during catheter pace mapping can facilitate the localization of the site of origin of ventricular tachycardia. In this study, we investigated the value of a realistic computer model of the human ventricular myocardium in generating body surface potential maps as templates for identifying sites of ectopic activation. Our model features an anatomically accurate geometry and an anisotropy due to transmural fibre rotation, that were reconstructed with a spatial resolution of 0.5 mm. It simulates the electrotonic interactions of cardiac cells by solving a nonlinear parabolic partial differential equation, but it behaves as a cellular automaton when the transmembrane potential exceeds the threshold value. We successfully validated our model by comparing the simulated activation sequences--described by isochronal maps, epicardial potential maps and body surface potential maps--with the measured sequences of epicardial and body surface maps reported in the literature. By systematically pacing the left ventricular and right ventricular endocardial surfaces in our ventricular model, we generated a database of 155 QRS-integral maps, which provides a high-resolution reference frame for localizing distinct endocardial pacing sites. This database promises to be a useful tool in improving the performance of catheter pace mapping used in combination with body surface potential mapping. Overall, the results demonstrate that our computer model of the human ventricular myocardium is well suited for complementing a database of QRS-integral maps obtained during clinical pace mapping and can help enhance the efficacy of the ablative treatment of ventricular arrhythmias.

Anisotropy↗

Comparison between electrocardiographic and magnetocardiographic inverse solutions using the boundary element method.

The accuracy of imaging cardiac sources using electrocardiographic and magnetocardiographic signals is influenced by thoracic inhomogeneities, e.g. the lungs and cardiac blood masses. The effects is investigated of such inhomogeneities on the body-surface potential maps (BSPM) and magnetic-field maps (MFM) inverse solutions for a single moving dipole as the source model and a realistic torso model as the volume conductor, by employing a node-based boundary element method. Using the same number and placement of the body-surface potential and magnetic field leads, a comparison is obtained of the numerical accuracy of body-surface potential and magnetic field leads. The results show that, with no noise added, the body-surface potential solution is less sensitive to the exclusion of the inhomogeneities than the magnetic field solution. The influence of noise on the BSPM and MFM localization is comparable for x (left-right) and y (foot-head) oriented dipoles, and the BSPM localisation is more accurate than the MFM localisation for z (anterior-posterior) oriented dipoles.

Electrocardiography↗

Simulated epicardial potential maps during paced activation reflect myocardial fibrous structure.

Using a three-dimensional propagation model of the human ventricular myocardium, we studied the role of fibrous structure in generating epicardial potential maps. This model represents the myocardium as an anisotropic bidomain with an equal anisotropy ratio, and it incorporates a realistic representation of anatomical features, including epi-endocardial fiber rotation in the compact portion of the wall (compacta) and a distinct fiber arrangement of the trabeculated portion (trabeculata). Activation sequences were elicited at various intramural depths, and maps were calculated throughout a 60 ms sequence. The simulated maps closely resembled those measured by others in the canine heart. During the early stages of activation, a typical map featuring a central minimum flanked by two maxima emerged, with the axis joining these extrema approximately parallel to the fibers near the pacing site, and the axis joining the maxima rotated in the same direction as the fibers for different pacing depths; for endocardial and subendocardial pacing this map changed into one with an oblong positive area. During the later stages of activation, the positive areas of the maps expanded and rotated with the transmural fiber rotation. In concurrence with experiments, we saw a fragmentation and asymmetry of expanding and rotating positive areas. The latter features-apparently caused by the interface between the compacta and trabeculata, variable local thickness of the wall, or local undulations of the vetricular surface-could not be reproduced by more idealized, slab models.

Animals↗