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Current-density estimation of exercise-induced ischemia in patients with multivessel coronary artery disease.

Magnetocardiographic and body surface potential mapping data measured in 6 patients with multivessel coronary artery disease were used in equivalent current-density estimation (CDE). Patient-specific boundary-element torso models were acquired from magnetic resonance images. Positron emission tomography data registrated with anatomical magnetic resonance imaging data provided the gold standard. Discrete current-density estimation values were computed on the epicardial surface of the left ventricle from difference (stress-rest) ST-segment maps. The ill-posed inverse problem was regularized with 3 different methods (Tikhonov regularization with an identity or a surface Laplacian operator and a maximum a posteriori estimator). Comparisons with positron emission tomography studies showed that the maximum a posteriori estimator is superior to other regularizations, provided that a suitable a priori information is available. In general, good correspondence was found for segments of high and low amplitude in current-density estimations, and the viable and scar areas in positron emission tomography, respectively.

Body Surface Potential Mapping↗

Spatial repolarization abnormalities in old myocardial infarction.

Conventional electrocardiogram criteria for myocardial infarction (MI) rely on QRS features, but ST-T segment is also affected. We recorded body surface potential mapping in 24 patients with prior MI and in 24 controls. T-wave maximum amplitude and QRS and ST-T integrals were automatically determined. Old MI was verified by magnetic resonance imaging. ST-T integral and T-wave maximum amplitude outperformed QRS integral in detecting MI, with area under receiver operating characteristic curve of 94%, 95%, and 83%, respectively. ST-T integral performed better in non-Q-wave than Q-wave MI, with area under receiver operating characteristic curve of 97% and 92%, respectively. QRS integral correlated negatively with ST-T integral in patients with MI (r = -0.58, P < .001) and positively in controls (r = 0.45, P < .001). In conclusion, ST-T integral proved equal to QRS integral in old MI detection. Inclusion of ventricular repolarization phase and development of electrocardiographic analysis over larger chest area may improve the QRS-based diagnosis of old myocardial infarction.

Adult↗

Direct mechanical stimulation of brainstem modulates cardiac rhythm and repolarization in humans.

Natural mechanical stimulation of the brainstem area by the blood pressure waves propagating in the adjacent arteries plays an important role in the homeostasis of the brainstem centers of cardiovascular control. However, effects of direct mechanical stimulation of this area on the cardiac elecrophysiology have never been studied in humans. In 12 patients (age: 54 +/- 13 years, 5 females) undergoing microvascular decompression, the left (9 patients) or the right (3 patients) side of the ventro-lateral surface of the medulla oblongata was exposed during the surgery, and a mechanical stimulation (duration: 1 min, frequency: 1-2 Hz) of the roots of the cranial nerves and the surface of the brainstem was performed at 3-7 sites using a 2-mm metallic ball. Spatial changes in cardiac repolarization were examined using the 32-lead/192 site electrocardiographic body surface potential maps. Blood pressure was monitored using intra-arterial line. The intervals between the onset of the Q-wave and the offset of the T-wave (QTe) and between the onset of the Q-wave and the peak of the T-wave (QTp), the activation-recovery intervals (ARi), the peak T-wave amplitude, and the QRS and STT integrals were measured using custom software. During the stimulation between the caudal rootlets of the 10th nerve, the peak T-wave amplitude decreased 22% (range: 6-50%) and RR-intervals decreased from 923 +/- 190 to 794 +/- 111 ms compared to the recordings obtained before the stimulation (P =.025 and.063, respectively), whereas QTe, QTp, Ari, and the QRS- and the STT-integrals did not change. Decreased T-wave amplitudes and unchanged QT-intervals suggest that brainstem stimulation might evoke spatially inhomogenious repolarization changes. Stimulation of a localized region surrounding the caudal rootlets of the 10th nerve elicits pronounced effects on cardiac rhythm and repolarization.

Blood Pressure↗

Reproducibility of computerized measurements of QT interval from multiple leads at rest and during exercise.

BACKGROUND: Accurate measurement of the QT interval is important for diagnosing long QT syndrome (LQTS), and in research on determinants of ventricular repolarization time. We tested automatic analysis of QT intervals from multiple ECG leads on chest. METHODS: Eleven healthy volunteers and 10 genotyped LQTS patients were tested at rest and during exercise with a bicycle ergometer twice 1-31 months apart. Electrocardiograms were recorded with the body surface potential mapping system, and 12 precordial channels were selected for analysis. Averaged QT peak and QT end intervals were determined with an automated algorithm, and the difference QT end minus QT peak (Tp-e) was calculated. Repeatability was assessed by coefficient of variation (CV) between measurements. RESULTS: Within one test at rest the QT end intervals were highly repeatable with CV 0.6%. In repeated tests CV was 4.4% for QT end interval and 3.5% when the QT interval was corrected for heart rate. In exercise test at specified heart rates, mean CV was 3.0% for QT end and 2.9% for QT peak interval. The CV of Tp-e interval was 10.2% at rest, and 9.3% in exercise test. Reproducibility was comparable between healthy subjects and LQTS patients. CONCLUSIONS: The BSPM system with automated analysis produced accurate and highly repeatable QT interval measurements. Reproducibility was adequate also over prolonged time periods both at rest and in exercise stress test. The method can be applied in studying duration of ventricular repolarization time in different physiologic and pharmacologic interventions.

Adult↗

The effect of volume currents due to myocardial anisotropy on body surface potentials.

Changes in anterior and posterior body surface potential maps (BSPMs) due to myocardial anisotropy were examined using a highly heterogeneous finite element model of an adult male subject constructed from segmented magnetic resonance images. A total of 23 different tissue types were identified in the whole torso. The myocardial fibre orientations in the human heart wall were mapped from the fibre orientations of a canine heart which are available in the literature using deformable mapping techniques. The current and potential distributions in the whole torso were computed using dipolar sources in the septum, apical area, left ventricular wall or right ventricular wall. For each dipole x, y, z orientations were studied. An adaptive finite element solver was used to compute currents and potential distributions in the whole torso with an element size of 0.78 x 0.78 x 3 mm in the myocardium and larger elements in other parts of the torso. For each dipole position two cases were studied. In one case the myocardium was isotropic and in the other it was anisotropic. It was found that BSPMs showed a very notable difference between the isotropic and the anisotropic myocardium for all dipole positions with the largest difference for the apical dipoles. The correlation coefficients for the BSPMs between the isotropic and anisotropic cases ranged from 0.83 for an apical dipole to 0.99 for an RV wall dipole. These results suggest that myocardial fibre anisotropy plays an important role in determining the body surface potentials.

Adult↗

Diagnosing old MI by searching for a linear boundary in the space of principal components.

Body surface potential mapping (BSPM) is a technique employing multiple electrodes to capture, via noninvasive means, an indication of the heart's condition. An inherent problem with this technique is the resulting high-dimensional recordings and the subsequent problems for diagnostic classifiers. A data set, recorded from a 192-lead BSPM system, containing 74 records is investigated. QRS isointegral maps, offering a summary of the information obtained during ventricular depolarization, were derived from 30 old inferior myocardial infarction and 44 normal recordings. Principal component analysis was applied to reduce the dimensionality of the recordings and a linear classifier was employed for classification. This perceptron-based classifier has been adapted so that the final weight and bias values are estimated prior to the learning process. This estimation process, referred to as the linear hyperplane approach (LHA), derives the estimated weights from a bisector hyperplane, placed orthogonal to the means of two class distributions in an n-dimensional Euclidean space. Estimating weights encourages a network to exhibit better generalization ability. Utilizing a number of different principal components as input features, the LHA achieved an average sensitivity and specificity of 79.58% and 76.45%, respectively, across all experiments. The average accuracy of 76.73% achieved with this approach was significantly better than the other benchmark classifiers evaluated against it.

Algorithms↗

Electrocardiographic assessment of left ventricular hypertrophy with time-voltage QRS and QRST-wave areas.

The sum of time-voltage QRS areas in the 12-lead electrocardiogram (ECG) has outperformed other 12-lead ECG indices for detection of left ventricular hypertrophy (LVH). We assessed indices of time-voltage QRS and T-wave (QRST) areas from body surface potential mapping (BSPM) for detection of and quantitation of the degree of LVH. We studied 42 patients with echocardiographic LVH (LVH group) and 11 healthy controls (controls). QRST area sums were calculated from 123-lead BSPM and from the 12-lead ECG for comparison. Leadwise discriminant indices and correlation coefficients were used to identify optimal recording locations for QRST area-based LVH assessment. BSPM QRS area sum was greater in the LVH group than in controls (3752 +/- 1259 vs 2278 +/- 627 microV s, respectively; P<0.001) and at 91% specificity showed 74% sensitivity for LVH detection. The 12-lead QRS area sum performed similarly. Taking T-wave areas into account did not improve the results. QRS area sum from two most informative leads (located in the upper and lower right precordium) also separated the LVH group from controls (61.1 +/- 23.5 vs 27.8 +/- 6.5 microV s, respectively; P<0.00001). This 2-lead QRS area sum showed 90% sensitivity with 100% specificity for LVH detection and maintained high correlation to indexed left ventricular mass (r=0.732; P<0.001). In conclusion, the BSPM QRS area sum compared to 12-lead QRS area sum does not substantially improve LVH assessment. The 2-lead QRS area sum may improve ECG QRS area-based LVH assessment.

Body Surface Potential Mapping↗

[Significance of the mathematical model of cardiac electrical field for the interpretation of experimental data].

BACKGROUND: In concurrence of our recent findings of the elevation of QT dispersion (QTd) in the group of pregnant women, mathematical approaches were developed aimed to give possible geometrical explanation whether the observed changes result from the rotation or from the changed position of the heart. METHODS AND RESULTS: Mathematical model of the cardiac electrical field approximated as a time variable dipole in a homogenous spatial conductor was developed. From the experimental vectocardiographic records, representing time course of the cardiac dipole, body surface potential maps were calculated on the basis of the model. To validate the adequacy of the model, the reconstructed electrocardiograms were compared with the empiric data. To determine the effects of rotation, original empiric VCG data of the control group were transformed accordingly the hypothetic pregnancy related changes. Calculated surface electrocardiograms were then compared with empiric cardiograms of the pregnant women. CONCLUSIONS: Based on the results, several conclusions can be drawn: 1) QT dispersion is associated also with the geometrical relations between the direction of cardiac vector during the terminal phase of repolarization and the direction of axes in the given system of leads. The dispersion then has its typical occurrence at the thoracic surface--minimums of the QT duration are found in the plane perpendicular to the axis of the terminal vector lead. 2) When the duration of repolarization is estimated from the classic thoracic leads within the phisiological variations of terminal-depolarization vector orientations, can exist that in some cases the minimum of QT interval is and in others it is not recorded by the lead system. Value of QT dispersion between these two extremes will be significantly different. 3) In case of the horizontal declination of the heart, the ECG signal in most of the leads of the body surface mapping has a higher voltage than in case of vertical declination due to a smaller angle between axes of the terminal vector and most of the leads. Such fact will contribute to more accurate reading of the T wave end and to the estimation of QT interval, usually with smaller value of QTd. 4) The change of the cardiac electrical field corresponding to the changed position of the heart (rotation) does not result by itself in QTd changes, if it is evaluated from the records from the whole thorax. Obversely, horizontalization of the heart contributes more to the evaluation of lower QTd values, as it is given above. 5) More then the result of geometrical changes, QT dispersion found in the group women in high level of pregnancy is an effect of changes in the T loop morphology, which was observed in this group. Another possible explanation of the observed dispersion is the non-dipolar character of the electrical field changes during pregnancy.

Adult↗

On the potential of the Wilson central terminal with respect to an ideal reference for unipolar electrocardiography.

Body surface potential mapping was performed in 60 clinical cases and an ideal 0 potential was calculated in each case at 2msec intervals, which corresponds to the potential at infinity. Maximal deviation of the Wilson terminal voltage the ideal potential was 0.14mv on the average. Time course of potential variations of the central terminal was in proportion to the measured surface potentials. The lead vector of Wilson terminal was determined for each case, with a method to make a minimal difference between calculate and observed Wilson terminal voltage. The lead vector was directed superiorly and posteriorly with the magnitude of 24% of that of lead I on the average.

Body Surface Potential Mapping↗

Use of the standard 12-lead ECG to simulate electrode displacements.

Placement of the precordial electrodes for recording a 12-lead electrocardiogram (ECG) is subject to variation. Previous research has shown that displacement, especially in the longitudinal direction, can lead to changes in diagnosis. In practice, both the displacement and the effects of displacement on an individual ECG are unknown. To assess this effect for a given ECG, the authors developed a method to simulate ECGs at different displacements using only the recorded ECG. The material consisted of 746 body surface potential maps (BSPMs) containing 232 cases without abnormalities, 277 with myocardial infarction (MI), and 237 with left ventricular hypertrophy. By interpolating BSPMs, ECGs from closely spaced electrode positions could be derived. Taking electrode positioning errors that may be encountered in practice, 40 ECGs at different electrode displacements (displaced ECGs) for each BSPM were derived. Using half of the BSPMs, for each displacement, a transformation matrix that transforms the ECG at the standard 12-lead electrode positions (standard ECG) to the displaced ECG was determined. Using the other half of the BSPMs, each displaced ECG was compared with the ECG yielded by the corresponding transformation matrix (transformed ECG). For each comparison, the differences were assessed between the two sets of ECG signals and between the diagnostic computer classifications of the two sets. Signal differences were expressed as mean absolute amplitude differences over the QRS. Computer interpretation of MI and left ventricular hypertrophy was graded in five levels of certainty (no, consider, possible, probable, definite). For instance, for the largest longitudinal displacement studied of about one intercostal space, the 96th percentile mean absolute amplitude difference over the test set was 204 microV. The percentage of cases showing a change in MI classification of more than two certainty levels was 2.7% for this displacement. When comparing the standard ECG with the displaced ECG, these figures were 434 microV and 8.3%, respectively. It is concluded that ECGs from displaced electrodes can be well simulated by transforming the standard ECG, both for the ECG signal and diagnostic classifications.

Body Surface Potential Mapping↗

How many electrodes and where? A "poldermodel" for electrocardiography.

It is known that body surface potential maps (BSPMs) contain diagnostic information not easily retrieved from the standard 12-lead electrocardiogram (ECG). Alternate lead sets that can reconstruct the BSPM have been proposed, but they are impractical because they require more than the 10 electrodes of the standard ECG and use nonstandard positions. We propose a practical approach to increasing the diagnostic information content of the standard ECG by repositioning selected chest electrodes. Thus, in the best tradition of the Dutch "poldermodel," we have sought to strike a compromise between the demands of different parties, one that, while suboptimal for each, will be seen by all as the best attainable result. We used a set of 746 120-lead BSPMs from healthy individuals and patients with various abnormalities. Data were split in a learning and a test set. Using the learning set, a general transformation to reconstruct all BSPM leads from the standard 12-lead ECG was derived by linear regression. Similarly, BSPMs were reconstructed when 2 of electrodes V(3)-V(6) were moved to other positions on the anterior part of the chest. Reconstruction performance was assessed on the test set by correlation and similarity coefficients. Thanks to the redundancy of information in the precordial leads, 2 missing precordial leads can be reconstructed from the others, using general coefficients, to a high degree of accuracy, particularly when the missing leads were not adjacent. We chose to reposition V(4) and V(6) to different sites on the anterior thorax. From the many electrode sites that we explored, those at 2 intercostal spaces below and above V(2) yielded better BSPM reconstruction than was attainable from the standard electrode positions, in most parts of the anterior thorax, including regions that are known to contain important diagnostic information less well brought forward by the standard ECG. Slight variations in the new electrode positions did not appreciably change the results. The standard 12-lead ECG proved to produce better overall reconstructions than either the EASI configuration or vectorcardiographic lead systems. Repositioning electrodes V(4) and V(6) provides a simple, practical method by which to improve the sampling of diagnostic information from the body surface while maintaining the full diagnostic content of the standard 12-lead ECG. This approach also obviates the need to determine the precise location of V(4) electrode, which may be difficult in women.

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↗

Body surface maps and the conventional 12-lead ECG compared by studying their performances in classification of old myocardial infarction.

The performance of body surface potential maps and the 12-lead ECG in the detection of old myocardial infarction has been compared in a two-group (54 normals; 52 infarctions) classification procedure (linear discriminant analysis). Three methods for data reduction of body surface maps were compared: 1) time integration, 2) one-step reduction in eigenvectors and 3) two-step reduction in spatial and temporal eigenvectors. Features were taken from the reduction variables by a stepwise selection procedure. From 90% to 93% correct classifications could be obtained using three features from the map data over the initial 30 ms (Q interval) of the QRS wave for all three methods considered. Using the 100 ms (QRS) interval 86% correct classifications were obtained using method 1, and up to 90% and 87% for methods 2 and 3, respectively. In a further analysis the classification based on body surface maps was compared to the one based on the 12-lead ECG. The 12-lead ECG was treated as a restricted set of the body surface mapping leads, so the same methods of data reduction, feature extraction and classification could be applied to both sets of data. Applying method 1 (time integration) 89% correct classifications were obtained using data taken from the 30 ms interval of the 12-lead ECG and a subsequent reduction to three features. When using the 100 ms interval the result was 79% also using three features. The results of method 2 applied to the 12-lead ECG were 89% (30 ms interval, three features) and 78% (100 ms interval, three features).

Electrocardiography↗

Reduction of the number of electrodes in the measurement of body surface potential distribution.

The number of electrodes required to reproduce a body surface potential map (BSPM) can be reduced by making use of the correlations among potentials measured at different sites on the body surface, as pointed out by Lux et al. in 1978. In the present paper, we have introduced two distinct methods which can be used to improve the accuracy of the potential estimation. In the first method, the BSPMs are divided into several classes according to the direction of the vectorcardiogram, while the temporal as well as the spatial correlations are taken into account in the second method. They are called the 'partition method' and the 'spatiotemporal correlation method', respectively. By means of the partition method using 40 electrodes, the estimation error becomes 75% of that estimated with the Lux method, which is equivalent to the Lux method with 47 electrodes. In other words, the partition method saves seven electrodes. When the electrodes are restricted on the chest, our methods are more effective. In particular, the partition method saves no less than 20 electrodes.

Electrocardiography↗

Problems and perspectives of mapping the cardiac electric field.

The cardiac electrical field is important not only because of its diagnostic significance, but also as a biological and biophysical phenomenon. As such, it has become a research target of biologists, biophysicists and biomathematicians. It has also been an impetus for constructing more and more sophisticated measuring devices. Criteria for the diagnostic evaluation of body surface potential maps have often been derived from clinical studies based on a restricted number of cases. Further clinical research is therefore a conditio sine qua non for the acceptance of mapping as a routine diagnostic procedure. In the future, body surface potential distributions will be used as the input for computer simulation of potential distribution and activation chronograms on the geometric surface closely encompassing the heart. In such a way, electrocardiographic signals will be interpreted in terms of activation and repolarization sequences on the cardiac surface.

Computer Simulation↗

A comparative evaluation of three different approaches for detecting body surface isopotential map abnormalities in patients with myocardial infarction.

Three approaches for detecting abnormalities in body surface potential maps recorded from patients with myocardial infarction were evaluated. The maps are generated from 26 simultaneously recorded unipolar electrocardiograms. All three approaches detect the deviations in certain parameters from control values determined from 50 normal subjects. The first approach emphasizes qualitative deviations in the trajectories of the surface potential map extrema during QRS and correctly classified all but one infarct in a test group comprising 30 normals and 30 cases of myocardial infarction. The second approach classifies a test subject as abnormal if any one of his 26 lead waveforms deviates appreciably at any instant during QRS from the mean waveform for the particular lead plus or minus two standard deviations, these being determined from the control group. This method, while correctly identifying all infarcts, resulted in a large number of false positives, misclassifying 22 of 30 normals. A final method was to obtain an instant by instant plot of the correlation coefficient between the mean surface potential map during QRS for the 50 normals and that of the subject being tested. Test cases were classified as abnormal if any correlation coefficient value fell below an envelope determined from the correlation coefficient plots obtained by correlating the maps of all 50 normals with their own mean. Twenty-nine normals and 26 infarcts were correctly classified. On the basis of these results, the first approach is superior to the other two for detecting surface potential map abnormalities in patients with myocardial infarction.

Electrocardiography↗

Temporal evolution of body surface map patterns following acute inferior myocardial infarction.

We studied the evolution of body-surface potential map (BSPM) patterns in 32 patients following first acute inferior myocardial infarction. Initial BSPMs were obtained at a mean of 79 hours post-infarction; follow-up BSPMs, a mean of eight months post-infarction. Temporal area-of-difference maps, constructed by subtracting initial from follow-up group-mean BSPMs, revealed reciprocal changes over the superior and inferior torso for both Q-zone and ST-segment time-integral distributions. The temporal changes in Q-zone patterns were small but definite: over the inferior torso there was a relative gain in Q-zone values and, over the superior torso, a relative decrease. In contrast, there were marked spatial and quantitative changes of ST-segment distributions during the follow-up period. Over the superior torso, particularly anteriorly, there was a gain in ST-segment values; over the inferior torso, a decrease. With the small temporal changes in Q-zone time-integral distributions, individual Q-zone maps continued to reflect a pattern of inferior myocardial infarction at follow-up. In contrast, the marked temporal changes in ST-segment time-integral distributions resulted in individual map patterns at follow-up that were nearly indistinguishable from normal ST-segment maps. The relatively small changes in depolarization time-integral patterns during the early post-infarction period suggest that the Q-zone patterns of the acute phase of myocardial infarction reflect near-irreversible or completed myocardial damage. The marked normalization of repolarization time-integral patterns during the recovery phase suggests, however, that there are also considerable areas of myocardium-at-risk during the early phase of the infarction process which stabilize with time.

Adult↗

Effects of lung volume on body surface electrocardiogram. Isointegral analysis of body surface maps in patients with chronic pulmonary emphysema.

To evaluate the effects of lung volume changes on the body surface electrocardiogram, we performed body surface potential mapping (87 lead points) in 20 normal subjects (group N) and in 21 patients with chronic pulmonary emphysema (group CPE). P-wave, QRS, ST-segment, ST-T and QRST iso-integral maps were constructed. Group-mean maps and the mean value of the maximum (max) and the minimum (min) on each map were compared between group N and group CPE. In group CPE, the body surface distribution of the P, QRS, ST, ST-T and QRST time integrals were all positioned downwards compared with those of group N. In addition, we also detected an increase in the max of P and decreases in the min of P; max and min of QRS; and in max of ST-T and QRST integrals. It was suggested that these changes were caused by the downward shift and clockwise rotation of the heart, and also by the decreased electrical conductivity of the lungs.

Adult↗