Ventricular Fibrillation Conduction through an Isthmus of Preserved Myocardium between Radiofrequency Lesions FRANCISCO J. CHORRO, M.D., PH.D.,*,† XAVIER IBAÑEZ-CATALÁ, I.E.E.,†† ISABEL TRAPERO, PH.D.,‡ LUIS SUCH-MIQUEL, PH.D.,§ FRANCISCA PELECHANO, M.D., PH.D.,† JOAQUÍN CÁNOVES, M.D., PH.D.,* LUIS MAINAR, M.D., PH.D.,* ÁLVARO TORMOS, PH.D.,†† JOSE M. CERDÁ, M.D., PH.D.,¶ ANTONIO ALBEROLA, M.D., PH.D.,** and LUIS SUCH, M.D., PH.D.** From the *Service of Cardiology, Valencia University Clinic Hospital Incliva, Valencia, Spain; Departments of †Medicine, ‡Infirmary, §Physiotherapy, ¶Pathology, **Physiology, Valencia University, Estudi General, Valencia, Spain; and ††Department of Electronics, Valencia Polytechnic University, Valencia, Spain Background: Selective local acceleration of myocardial activation during ventricular fibrillation (VF) contributes information on the interactions between neighboring zones during the arrhythmia. This study analyzes these interactions, centering the observations on an isthmus of myocardium between two radiofrequency (RF) lesions. Methods: In nine isolated rabbit hearts, a gap of preserved myocardium was established between two RF lesions in the anterolateral left ventricle (LV) wall. Before, during, and after increasing the spatial heterogeneity of VF by local myocardial stretching, VF epicardial recordings were obtained. Results: Local stretch in the anterior LV wall decreased the excitable window (17 ± 7 ms vs 26 ± 7 ms; P < 0.05) and increased the dominant frequency (DFr; 18.9 ± 5.0 Hz vs 15.2 ± 3.6 Hz; P < 0.05) in this zone, without changes in the non-stretched posterolateral zone (25 ± 4 ms vs 27 ± 6 ms, ns and 14.1 ± 2.7 Hz vs 14.3 ± 3.0 Hz, ns). The DFr ratio at both sides of the gap was inversely correlated to the excitable window ratio (R = −0.57; P = 0.002). Before (31% vs 26%), during (29% vs 22%), and after stretch suppression (35% vs 25%), the wavefronts passing through the gap from the posterolateral to the anterior LV wall were seen to predominate. The number of wavefronts that passed from the anterior to the posterolateral LV wall was related to the excitable window in this zone (R = 0.41; P = 0.03). Conclusions: The VF acceleration induced in the stretched zone does not increase the flow of wavefronts toward the non-stretched zone in the adjacent gap of preserved myocardium. The absence of significant changes in the electrophysiological parameters of the non-stretched myocardium limits the arrival of wavefronts in this zone. (PACE 2013; 36:286–298) Cardiac mapping, mechanical stretch, myocardial activation, radiofrequency, spectral analysis, ventricular fibrillation Introduction Myocardial activation during ventricular fibrillation (VF) is a complex phenomenon, and its analysis has produced a variety of data on the mechanisms that initiate, perpetuate, Grants: This work was supported by Spanish Ministry of Science “Instituto de Salud Carlos III” Grants FIS PS09/02417 and RETIC REDINSCOR RD06/0003/0010, and by “Generalitat Valenciana” Grant PROMETEO 2010/093. Address for reprints: Francisco J. Chorro, M.D., Ph.D., Servicio de Cardiologı́a. Hospital Clı́nico Universitario, Avda. Blasco Ibañez 17, 46010, Valencia, Spain. Fax: 34963862658; e-mail: [email protected] Received January 17, 2011; revised October 14, 2012; accepted October 23, 2012. doi: 10.1111/pace.12060 modify, or interrupt this arrhythmia.1–9 One of the aspects that have generated interest among investigators is the interaction between different myocardial zones during VF, because there have been reports of regional differences in myocardial activation frequency during the arrhythmia.10–21 The magnitude of these differences, the location of the zones with the greatest activation frequencies, and the role played by them during VF have been the subject of a number of studies.10–16,18,19,21 Most such studies have analyzed the heterogeneities that occur spontaneously during VF, under conditions where coronary perfusion is both maintained and suppressed, and both shortly after the start of VF (short duration VF) and after prolonged periods of time (long duration VF). The isolation or suppression of a given myocardial zone, as well as the selective acceleration ©2012, The Authors. Journal compilation ©2012 Wiley Periodicals, Inc. 286 March 2013 PACE, Vol. 36 VF CONDUCTION BETWEEN RADIOFREQUENCY LESIONS or slowing of local activation, allow us to study its influence and repercussions upon activation of the remaining myocardium. Accordingly, areas of myocardium have been selectively isolated or modified with the purpose of evaluating how VF activation is changed by these maneuvers.22–30 The procedures available for accentuating the regional differences range from the placement of barriers or obstacles that complicate conduction between contiguous zones of myocardium to techniques that selectively accelerate or slow the activation of a given ventricular myocardial zone during the arrhythmia. Regarding the local acceleration or slowing of VF, local modification of the characteristics of myocardial activation during VF has been carried out using different techniques such as myocardial stretch or localized thermal variations.27,29,30 Mechanical stretch is an arrhythmogenic factor. The electrophysiological modifications produced by myocardial stretch enhance electrophysiological heterogeneity.27,30 Stretch is present during acute changes in ventricular or atrial load, as occurs in different clinical scenarios such as the Valsalva maneuver, pulmonary thromboembolism, the mechanical complications of acute myocardial infarction, the onset of tachyarrhythmias, cardiopulmonary bypass during open-heart surgery, or during regional wall motion abnormalities, as in the border zone between normal and ischemic myocardium. The role played by the zones with the greatest activation frequencies during fibrillation in relation to maintenance of the arrhythmia is the subject of debate. It has been postulated3,10–12 that VF is the result of zones with increased activation frequencies that function as driving zones and give rise to fibrillatory conduction to the rest of the myocardium—thereby determining maintenance of the arrhythmia. In this scenario, local interventions designed to eliminate the driving zones, e.g., radiofrequency (RF) ablation, could interfere with the maintenance of fibrillation and facilitate its interruption, either spontaneously or through pharmacological or electrical procedures. In an earlier study, we observed that the acceleration of VF produced by myocardial stretching in the left ventricular anterior free wall did not give rise to changes in the VF activation patterns observed at a distance in the left ventricular posterior free wall,27 and we speculated that local modifications in electrophysiological properties, when confined to zones of limited extension, would induce few changes in the global activation process during VF. On the other hand, in a similar experimental preparation, we observed that the suppression of different zones of ventricular myocardium, including the anterior part of the left PACE, Vol. 36 ventricular wall, did not impede the maintenance of VF.28 This study aims to obtain further information on the interactions between two myocardial regions during VF, centering the observations on an isthmus of preserved myocardium between two linear RF lesions produced in the anterolateral wall of the left ventricle. The experimental model used allows us to create a gradient of activation frequencies during VF by applying local mechanical stretch and to analyze the wavefronts flow between an accelerated zone and a part of the adjacent myocardium, focusing the analysis in a narrow zone. Methods Experimental Preparation The procedures employed in this study were in accordance with the guidelines for the care and use of animals of the US National Institutes of Health (NIH) Publication No. 85–23 (revised 1985), and with the Institutional Animal Care and Use Committee. Nine isolated and perfused rabbit hearts were used. After anesthesia with ketamine (25 mg/kg i.m.) and heparinization, the animals were sacrificed, and the hearts were removed and immersed in cold (4◦ C) Tyrode solution. Following isolation, the aorta was connected to a Langendorff system for perfusing Tyrode solution at a pressure of 60 mm Hg and a temperature of 37 ± 0.5◦ C. The millimolar composition of the perfusion fluid was as follows: NaCl 130, NaHCO3 24.2, KCl 4.7, CaCl2 2.2, NaH2 PO4 1.2, MgCl2 0.6, and glucose 12. Oxygenation was carried out with a mixture of 95% O2 and 5% CO2 . A vertical radiofrequency lesion was produced in the lateral wall of the left ventricle, leaving a 5-mm gap in the lesion to allow conduction between the anterior and posterolateral walls, as in an earlier study by Pérez et al.,31 who observed that conduction was preserved with gap sizes of 4.3 ± 0.3 mm. Radiofrequency current (10 W during 20 seconds) was sequentially delivered through needle electrodes (length = 12 mm; diameter = 0.5 mm) inserted into the ventricular wall perpendicular to the epicardium and ensuring that the inserted portion of the needle was greater than the thickness of the ventricle wall.28,32 A HAT 10 generator (Osypka AG, RheinfeldenHerten, Germany) was used, and the dispersive patch was located on the aortic cannula of the perfusing system. The location of the lesions was similar in all the experiments. They were always longitudinal, taking the curvature of the left ventricular wall into account. From the midzone of the anterolateral wall, radiofrequency was applied with the needle electrode, advancing the March 2013 287 CHORRO, ET AL. lesion through consecutive punctions toward the ventricular base, without reaching the zone of the atrioventricular sulcus, to avoid the trajectory of the main coronary arteries. Then, leaving a zone 5 mm in width, successive radiofrequency applications were made toward the ventricular apex until reaching a length of 1 cm. An L-shaped device was introduced through the left atrium into the left ventricle. The device consisted of a hollow tube measuring 3.5 mm in diameter, through which a stem 1.5 mm in diameter could be advanced (Fig. 1). The distal end of the stem protruded from the L-shaped device and consisted of a circular platform measuring 7.5 mm in diameter, with which controlled stretching could be induced of a circumscribed zone of ventricle wall.27,30 To ensure that stretch was produced by the circular platform, and not by displacements of the device, it was proximally and distally affixed to external supports. The upper part of the device was affixed with forceps located above the left atrium. The lower portion of the device was affixed by mean of a suture thread knotted to the angle of the L-shaped tube and exteriorized through the ventricular apex to affix it to an external support to avoid inappropriate displacements of the device. The suture thread was exteriorized from the left ventricle cavity by means of a suture needle. This zone was at a distance from the gap of preserved myocardium located in the midzone of the left ventricular wall. Left ventricle unipolar electrograms were recorded using a multiple electrode composed of 240 unipolar stainless steel electrodes (diameter = 0.125 mm; interelectrode distance = 1 mm) positioned at the epicardial surface of the left ventricle free wall encompassing the RF lesion with the gap in the center of the electrode and the adjacent zones of the anterior and posterolateral left ventricle walls. The pressing location was the anterior portion of the left ventricular wall, to the left of the isthmus of preserved myocardium, as shown in Figure 1. Fixed points marked on the ventricle wall were used as a reference of the electrode position. The indifferent electrode was a 4-mm × 6-mm silver plaque located over the cannulated aorta. Recordings were obtained with a cardiac electrical activity mapping system (MAPTECH, Waalre, the Netherlands). The electrograms were amplified with a gain of 100–300, broadband (1–400 Hz) filtered, and multiplexed. The sampling rate of each channel was 1 kHz. The data obtained throughout the experiment were stored on digital storage devices for posterior analysis. Thirty minutes after positioning the electrodes and the stretching device, the existence 288 Figure 1. Schematic representation of the experimental preparation. The control (CTRL) stage, where no stretch was performed, is represented in the left column. Stretch stage is represented in the right column. A left intraventricular device (upper part of the figure) was used to stretch the left ventricle anterior wall (LVAW). An epicardial multielectrode (lower part of the figure) was used to obtain the ventricular fibrillation (VF) recordings in the stretched zone (SZ) on the LV anterior wall, in the gap of preserved myocardium between the RF lesions (RFL), and in the nonstretched zone on the LV posterolateral wall. Mechanical stretch was obtained on displacing the stem of the device 6 mm. This displacement produced an approximate elongation of 12% in the horizontal and vertical axes of the zone of the ventricle wall located over the circular platform of the device. A and A´ = distance between two fixed points located on the horizontal axis of the modified zone before and during stretching; B and B´ = distance between two fixed points located on the vertical axis of the modified zone before and during stretching. of conduction through the isthmus of preserved myocardium was checked during constant pacing at 4 Hz, 7 Hz, and 10 Hz. Then VF was induced by pacing at increasing frequencies from 4 Hz to 20 Hz, and coronary perfusion was maintained during the arrhythmia. Ventricular pacing was March 2013 PACE, Vol. 36 VF CONDUCTION BETWEEN RADIOFREQUENCY LESIONS performed using bipolar electrodes (diameter = 0.125 mm; interelectrode distance = 1 mm) located near the multiple electrode. Pacing was carried out using a GRASS S88 (Grass Instruments Inc., Quincy, MA, USA) stimulator equipped with a stimulus isolation unit (SIU5). Stimuli were rectangular pulses of 2-ms duration and an intensity twice the diastolic threshold. Experimental Series VF recordings were obtained each minute during a period of 5 minutes in the control phase. Local myocardial stretch was then applied and maintained on the anterior left ventricle wall for 10 minutes by displacing the stem of the L-shaped intraventricular device. In an earlier work,27 we analyzed the effects of this maneuver on the vertical and horizontal axes of the left ventricular wall (tangential to the wall), both in the epicardial surface over the pressing zone (left anterior wall) and in the left posterior wall. On displacing the stem of the L-shaped device 6 mm, we obtained a mean longitudinal increase in both axes of around 12% in the anterior left ventricular wall, without significant modifications in the posterior left ventricular wall. VF recordings were obtained each minute during the stretching phase. After this period, local stretching was discontinued, and VF was recorded each minute during 5 minutes after the suppression of stretch. Three zones were considered for the study: the stretched zone (SZ) on the anterior wall of the left ventricle, the gap between the RF lesions, and the nonstretched zone (NSZ) on the posterolateral wall of the left ventricle (Fig. 1). No information was obtained on the effects upon propagation during VF in the puncture zone of the ventricular apex where the suture thread knotted to the L-shaped tube was exteriorized. Data Analysis VF Spectral Analysis Welch’s periodogram was used to obtain the power spectrum of the signals recorded with all the unipolar electrodes.33 The periodogram was calculated for the first 4 s of each signal, fragmenting the recordings into eight segments with 50% overlap and using Hamming’s window. Frequency with a maximum peak of power spectral density between 5 Hz and 48 Hz was obtained for each channel (dominant frequency [DFr]). Moreover, spectral concentration (SpConc) was calculated for each channel as a percentage of the total energy contained in the interval DFr ± 1 Hz. Both DFr and SpConc were calculated in three specific stages: control (just before stretching); PACE, Vol. 36 during stretch (3 minutes after beginning stretch, given that the maximum effects of stretching are known to occur at this time)27 ; and poststretch (5 minutes after stretch suppression). VF Time-Domain Analysis Activation times in each electrode were determined by identifying the moments of maximum negative slope of the ventricular electrograms. The minimal threshold for dV/dt to be judged as a local deflection was a percentage (20%) of the maximal negative slope in each channel. If electrograms exhibited two or more deflections, then the steepest slope of the activation complex was assigned as the local activation time. The intervals between consecutive local activations during VF (VV intervals), the histogram, and the median were determined for each channel of each zone of the multielectrode during time windows of 2 seconds in the three stages mentioned above: control (before stretch), during stretch (3 minutes after beginning stretch), and poststretch (5 minutes after suppressing stretch). The functional refractory period (FRP) during VF was regarded as the average of the five smallest intervals between two successive activations by two different wavefronts recorded in an electrode, as previously described.5 This procedure does not involve direct measurement of refractoriness but rather a surrogate measure of the effective refractory period, which in previous studies has been seen to behave parallel to the refractoriness obtained during fixed pacing rates, showing good correlation with the activation frequency during VF.5,27 Activation Maps Activation maps during VF were constructed every 100 ms in the three 2-second time windows analyzed immediately before stretch, at the third minute during the stretch period, and at the fifth minute of the poststretch period. In each experiment a total of 20 maps were constructed in each time window. Isochrones were drawn and analyzed, determining whether each activation wavefront swept the area through the gap from left to right (LR), from right to left (RL), and whether there was a collision (Col) or a breakthrough (BrTh) in the gap (Fig. 2) (A and B). A BrTh was considered when the earliest activation was located in the gap zone and a centrifugal activation pattern was seen toward the adjacent zones. Statistical Analysis Data are presented as means ± standard deviation. The general lineal model was used to analyze the differences within each study zone (repetitive measurements) and between zones. Values of March 2013 289 CHORRO, ET AL. Figure 3. Longitudinal sections of two hearts (A and B) showing the transmural radiofrequency-induced lesions (arrows). Microscopic views (C = 5x high-power field; D = 20x high-power field) showing the gap of preserved myocardium between the radiofrequency lesions and one of the boundaries of the lesion (D). Coagulative necrosis of the cells with disruption of myocyte structure and contracture bands are shown in the damaged myocardium. Trichromic staining. RF = radiofrequency lesion. Figure 2. (A) and (B) Four categories of activation maps were established: (A) activation wavefront sweeping the gap from left to right (left), and from right to left (right); (B) collision of wavefronts in the gap (left), and breakthrough (right). Four electrograms for each activation map are shown where progression of the activation wavefront can be observed. P < 0.05 were considered statistically significant. Differences between qualitative variables were analyzed by the χ 2 test. Results Characteristics of the RF Lesions Lesions were transmural, and the mean length of the gap between them was 5.0 ± 0.2 mm. The length and the width of the upper part of the RF lesion were 9.4 ± 0.6 mm and 3.7 ± 0.4 mm, 290 respectively. The lower part of the RF lesion had a mean length of 10.1 ± 0.7 mm and a mean width of 3.7 ± 0.3 mm. The transmural nature of the lesions and their limits were determined by macro- and microscopic analysis of the preparations (Fig. 3). VF Spectral Analysis In the control stage, DFr in SZ was significantly higher than in NSZ (Table I). When stretch was applied, DFr increased significantly both in SZ and in the gap—significant differences being observed when comparing SZ with the gap and with NSZ. After suppressing stretch, the DFr values returned to the same values of the control stage—significant differences again being observed between SZ and NSZ. Figure 4 shows the specific changes in DFr observed during stretch in the three studied zones. An example of the spatial distribution of DFr before stretch, during March 2013 PACE, Vol. 36 VF CONDUCTION BETWEEN RADIOFREQUENCY LESIONS Table I. Spectral Analysis Results: Mean ± SD Obtained in Each of the Experimental Stages in the Three Study Zones SZ Control Stretch Post GAP DFr (Hz) SpConc 15.2 ± 3.6 18.9 ± 5.0* 15.1 ± 1.6 38 ± 11 32 ± 12* 46 ± 12* DFr (Hz) 15.5 ± 3.6 16.9 ± 4.3*, ** 15.4 ± 1.9 NSZ SpConc DFr (Hz) SpConc 30 ± 10** 33 ± 14 32 ± 10** 14.1 ± 2.7** 14.3 ± 3.0** 14.4 ± 2.1** 36 ± 12 37 ± 10** 39 ± 13** *Significant differences versus control (P < 0.05); **significant differences versus SZ (P < 0.05). DFr = dominant frequency; NSZ = non-stretched zone; SpConc = spectral concentration; SD = standard deviation; SZ = stretched zone. Figure 4. Values of the dominant frequency (DFr) obtained in each experiment in the control phase (CTRL.) and during stretch (STR.) in the three studied zones. Abbreviations: SZ = stretched zone; NSZ = nonstretched zone. in SZ increased, being significantly higher than the value measured in the gap and in NSZ. With regard to the FRP, during the control stage this parameter was lower in SZ than in NSZ (Table II). During stretch it decreased in SZ. This reduction was significant when compared to the gap and NSZ, and also compared to the control stage. After the suppression of stretch, the refractory period in SZ was significantly greater than in the gap and before stretch. The regression straight line obtained, relating DFr to the inverse of the mean VV intervals (INVV), was: DFr = 0.87 INVV + 1.7; R = 0.82; P < 0.0001; standard error of estimate = 1.6 Hz. The regression line obtained on relating DFr to FRP was: DFr = −0.28 FRP + 25.42; R = 0.45; P < 0.0001; standard error of estimate = 2.6 Hz. Activation Maps stretch, and after stretch suppression is shown in Figure 5. The same comparisons were made with SpConc (Table I). Before stretch, SpConc in SZ was significantly higher than in the gap. During stretch, SpConc in SZ was significantly reduced with regard to SpConc in NSZ, and the reduction in SZ was also significant when compared to the control stage. After stretch suppression, SpConc in SZ increased until it became significantly higher than in the control stage, and also higher than in the gap and in NSZ. VF Time-Domain Analysis Immediately before stretching, VV in the gap was significantly lower than in SZ (Table II). During stretch, VV in SZ was significantly reduced when compared to the gap and NSZ. This reduction was also significant when compared to the control values. In this stage, VV in the gap was also reduced, being significantly lower than in the control stage. After the suppression of stretch, VV PACE, Vol. 36 Figure 6 shows percentages of each type of activation map, classified according to the direction through the gap. No significant differences were found between the different study stages. A general tendency toward the predominant pass of activation wavefronts from right (posterolateral left ventricle wall) to left (anterior left ventricle wall) was observed. Both before and during stretch, and also after stretch suppression, the percentage of wavefronts that passed through the gap from the posterolateral wall to the anterior wall was slightly higher than in the opposite direction. This slight predominance was maintained during local VF acceleration in the anterior left ventricle wall produced during the stretching phase. A slight increase in the collisions of wavefronts in the gap was also observed during stretching. Mapping of the flow of wavefronts in the gap zone also revealed that the maximum number of consecutive left to right transmitted wavefronts was four in one experiment during the control stage and four in another experiment during March 2013 291 CHORRO, ET AL. Figure 5. Spatial distribution of dominant frequencies (DFr) over the mapped surface obtained before stretch, during stretch, and after stretch suppression in a particular experiment. Frequency is gray coded, where dark gray indicates high-frequency values. Radiofrequency lesions are denoted by dashed zones. For each zone of interest, an electrogram and the corresponding spectrogram are shown: (1) corresponds to an electrogram from the stretched anterior wall, (2) to an electrogram from the gap, and (3) to an electrogram from the non-stretch posterolateral wall. PSD: power spectral density; t(s): time (in seconds), a.u.: arbitrary units. For increased clarity, only 1-second VF recordings are shown. the stretch stage. The maximum number of consecutive right to left transmitted wavefronts was three in three experiments during the control stage and four in two experiments during the stretch stage. In both cases most of the wavefronts passed the gap only in one direction or the other isolatedly, and to a lesser degree as two consecutive wavefronts. Table II. Time-Domain Analysis Results: Mean ± SD Obtained in Each of the Experimental Stages in the Three Study Zones SZ Control Stretch Post GAP NSZ VV (ms) FRP (ms) VV (ms) FRP (ms) VV (ms) FRP (ms) 61.5 ± 8.0 48.5 ± 9.8* 65.3 ± 6.4* 34.6 ± 6.2 31.5 ± 4.5* 38.6 ± 7.8* 58.7 ± 7.5** 53.9 ± 9.0*, ** 59.8 ± 6.9** 35.5 ± 4.9 34.0 ± 5.4** 35.7 ± 6.7** 63.2 ± 7.0 61.5 ± 7.1** 63.1 ± 8.3** 37.0 ± 6.1** 35.1 ± 6.9** 36.7 ± 7.4 differences versus control (P < 0.05); ** significant differences versus SZ (P < 0.05). FRP = functional refractory period; NSZ = non-stretched zone; SD = standard deviation; SZ = stretched zone; VV = median of the ventricular fibrillation intervals. * Significant 292 March 2013 PACE, Vol. 36 VF CONDUCTION BETWEEN RADIOFREQUENCY LESIONS Figure 6. Percentages of activation maps, classified according to the direction through the gap, obtained immediately before stretch (control), during stretch, and after stretch suppression. Nonsignificant differences were found between the study stages. BrTh = breakthrough pattern. Number of maps analyzed in each stage = 180. We identified those wavefronts that were blocked after crossing the isthmus of preserved myocardium, and determined the ratio between the blocked and transmitted wavefronts, considering both the left to right and the opposite direction. During stretch there was a significant increase in this parameter on considering the left to right direction (0.56 vs 0.30; P = 0.02), while the increase on considering the right to left direction failed to reach statistical significance (0.39 vs 0.23; P = 0.11). Wavefront Propagation through the Gap and Electrophysiological Parameters The regression coefficient obtained on relating the ratio between the number of wavefronts that passed through the gap from left to right (nLR) or in the opposite direction (nRL) to the ratio between DFr at both sides of the gap (DFr Ratio) was not statistically significant: nLR/nRL = 0.41 (DFr Ratio) + 0.61; R = 0.06; P = 0.75; standard error of estimate = 1.2 (Fig. 7). Likewise, the regression coefficient on relating nLR/nRL to the ratio between FRP in the left and right side of the gap (FRP Ratio) also failed to reach statistical significance (Fig. 7): nLR/nRL = −1.77 (FRP Ratio) + 2.84; R = 0.25; P = 0.22; standard error of estimate = 1.2. The relationships between left and right directionality of wavefront propagation and the ratio between the estimated excitable window at both sides of the gap were also studied. The difference between the median of the VV intervals (VVmed) and FRP was considered as an approximation to the excitable window.34 Figure 8 shows the values of this parameter in each studied zone. During stretch there was a significant reduction in SZ. Figure 8 shows the absence of a significant relationship between nLR/nRL and the (VVmed-FRP) ratio. However, the regression PACE, Vol. 36 coefficient between the DFr ratio and the excitable window (VVmed-FRP) ratio was significant (DFr ratio = −0.38 (VVmed-FRP) ratio + 1.46; R = −0.57; P = 0.002; standard error of estimate = 1.5; Fig. 9). The relationship between the number of wavefronts that passed through the gap from left to right or in the opposite direction and the electrophysiological parameters determined in each studied zone (SZ, gap, and NSZ) was also evaluated. The only significant regression coefficient was obtained on relating nLR to the excitable window to the right of the gap (Fig. 9). On relating nRL to the excitable window to the left of the gap, the regression coefficient failed to reach statistical significance (R = 0.18; P = 0.37). Discussion The main findings of this study are the following: (1) the experimental model used shows a slight predominance of wavefront flow from the posterolateral wall of the left ventricle toward the anterior wall, through the isthmus of preserved myocardium between the RF lesions; (2) during local VF acceleration induced by myocardial stretch, the modified zone continues to receive more wavefronts through the isthmus of preserved myocardium than the nonmodified zone; (3) VF acceleration in the left ventricular anterior wall does not produce acceleration in the posterolateral wall located on the opposite side of the RF lesions; and (4) the absence of significant changes in the electrophysiological parameters in the posterolateral zone limits the flow of wavefronts from the accelerated zone toward the NSZ. Characteristics of the Lesions The analysis of the flow of wavefronts has focused on the gap of preserved myocardium between two linear RF lesions located between March 2013 293 CHORRO, ET AL. Figure 7. Scattergrams obtained on relating the ratio between the number of wavefronts passing through the isthmus from left to right or in the opposite direction (nLR/nRL) and the ratio between DFr (DFr Ratio) or the functional refractory period (FRP Ratio) on the left and right side of the gap. the stretched and a NSZ. Conduction through gaps of preserved myocardium has been previously analyzed in both atrial and ventricular myocardium. The dimensions of the gap and the frequency of activation are factors that determine conduction,31,35,36 because they define the source– sink relationship and wavefront curvature once the latter passes through the gap. In atrial myocardium of rabbit hearts, gaps of 3 mm did not prevent conduction between contiguous zones.36 In ventricular myocardium of rabbit hearts, Pérez 294 Figure 8. Top: Variations in the excitable window (VVmed-FRP) in the different stages of the experimental protocol in the three studied zones. CTRL. = control phase; STR. = during stretch; POST. = after suppressing stretch; SZ = stretched zone; NSZ = non-stretched zone. Bottom: Scattergram obtained on relating the ratio between the number of wavefronts that passed through the isthmus from left to right or in the opposite direction (nLR/nRL) and the ratio between the excitable window ([VVmed-FRP] Ratio) on the left and right side of the gap. et al.31 analyzed the effects of a residual isthmus of surviving tissue upon conduction after linear ablation. They observed that for gap lengths of 4.3 ± 0.3 mm on average, conduction was preserved at all cycle lengths studied. Cabo et al.,35 in epicardial myocardium of sheep, found that for the maximum frequency of stimulation, the critical isthmus was 2.5 mm. In this study, the width of the gaps of preserved myocardium was 5.0 ± 0.2 mm, which is greater than the value established in earlier studies for limiting the flow of wavefronts, and in all cases studied, bidirectional conduction through the gap was observed. March 2013 PACE, Vol. 36 VF CONDUCTION BETWEEN RADIOFREQUENCY LESIONS Figure 9. Top: Relationship between the number of wavefronts that passed through the gap from left to right (nLR) and the excitable window to the right of the gap (VVmed- FRP)(R). Bottom: Relationship between the DFr ratio at both sides of the gap and the excitable window (VVmed-FRP) ratio. Effects of Stretch upon VF Activation Frequency Before the stretching phase, there was a small difference in DFr between the anterior and posterolateral zones of the left ventricle wall, in the same way as in an earlier study.19 The magnitude of the difference is smaller than that reported by other investigators using guinea pig hearts.10 In swine, slightly higher activation frequencies have been recorded in the posterobasal zone of the left ventricle both in perfused and in non-perfused hearts (short duration VF).16 In earlier studies27,30 we observed that acute local myocardial stretch PACE, Vol. 36 accelerates VF. In these studies the increase in activation frequency during the arrhythmia was associated with a reduction in refractoriness, and was accompanied by an increase in complexity of the VF activation patterns. In the SZ, the epicardial activation maps were more complex, though without an increment of complete reentrant activation patterns.27 These changes did not produce significant VF modifications at a distance from the SZ. In this study, VF was also accelerated in the SZ, and the changes produced in the left ventricle anterior wall were not accompanied by acceleration in the posterolateral zone of the LV. In addition to the increased DFr in the SZ, spectral analysis revealed a reduction in SpConc indicating more heterogeneous and irregular activation. This latter parameter was likewise smaller in the gap zone before the stretching phase and after stretch suppression—probably because this is a zone of interaction of the wavefronts coming from both sides of the lesion. Analysis in the time domain in turn has shown shortening of the VV intervals during local stretch applied to the anterior wall, with no significant variations in the posterolateral wall—in coincidence with the data supplied by the spectral analysis. Before stretch application, the differences in the median of the VV intervals between the anterior and posterolateral wall did not reach statistical significance, while after stretch suppression a significant increase was observed in this parameter in the anterior left ventricle wall. Thus, in this study the information afforded by the frequencyand time-domain methods is discordant in relation to the statistical significance of the differences between the two zones. Usually both timedomain and frequency-domain analytical methods yield analogous information in the analysis of the activation frequency during VF,5,27 though certain conditions such as the presence of double potentials can give rise to discrepancies between the two methods.14,27 In this study, as in earlier studies,5,27 the regression straight line obtained on relating DFr to the inverse of the mean VV interval was statistically significant, and the slope was close to 1. Wavefront flow through the Gap In guinea pig hearts with greater frequency gradients than in this study,10 a predominant wavefront direction was observed from the fastest toward the least fast zones. In swine hearts, where the observed frequency gradients were smaller, Nanthakumar et al.16 conducted epicardial mapping studies and demonstrated that in shortduration VF, the wavefronts tended to propagate from the posterior basal left ventricle to the anterior left ventricle, and to the anterior right March 2013 295 CHORRO, ET AL. ventricle. Rogers et al.,17 also in swine hearts, analyzed the flow of wavefronts and the relative activation frequencies of two epicardial arrays situated in the left ventricle near the anterior septum and in a more lateral position. They observed that wavefronts from the septal array had a greater influence upon the lateral array than the other way around, and when the data obtained before the use of a multineedle array were included in the analysis, the septal array was slightly faster than the lateral array. In this study, before the stretch phase, the frequency gradient was small and of a magnitude similar to that reported in earlier studies in the same experimental model,19 and the flow of wavefronts through the gap of preserved myocardium showed a slight predominance from the posterolateral zone toward the anterior zone. During myocardial stretch, activation in the anterior wall was accelerated, resulting in a marked increase in frequency gradient between the anterior wall and the posterolateral wall. However, this increase was not accompanied by an increased wavefront flow toward the posterior wall, and the slight pass predominance from the posterior wall toward the anterior wall persisted, with a tendency toward increased collisions and breakthrough patterns in the gap zone. During the stretch phase, significant shortening of myocardial refractoriness was observed in the modified zone, as in a previous study,27 without significant changes on the other side of the RF lesions. This factor is directly related to the frequency of VF,5,12,13,27 and is probably one of the main limiting factors of wavefront arrival to the nonmodified zone. The fact that VF acceleration was not accompanied by a larger proportion of wavefronts passing through the gap of preserved myocardium from the SZ raises the question of whether the accelerated zone is a source of wavefronts toward the rest of the myocardium or whether this zone mainly modifies its capacity to house more wavefronts, including those arriving from adjacent zones, because of its lesser refractoriness. In the former case we would expect a greater flow of wavefronts toward the non-modified zone, but this behavior has not been observed. Instead, we recorded a tendency toward an increased number of collisions and breakthrough patterns. The first finding would be related to the interaction of a larger number of wavefronts, while the latter could be because of an increased arrival in this zone of wavefronts from the subendocardium or midmyocardium. This has been seen in the stretch zone in earlier studies.27,30 In this study, we observed no significant relationship between the ratio of wavefronts passing to one side or the other of the gap of 296 preserved myocardium and the ratio of DFr, FRP, or the excitable window at both sides of the gap. On isolatedly analyzing the number of wavefronts passing to the left or the right, the only electrophysiological parameter yielding a significant correlation was the excitable window to the right of the gap on considering wavefront flow from left to right. During stretch, this parameter was not significantly modified in NSZ—a fact that could explain the absence of significant increments in the flow of wavefronts from left to right. On considering the flow of wavefronts from right to left, the relationship between the number of wavefronts and the excitable window to the left of the gap failed to reach statistical significance. If the relationship observed on analyzing wavefront flow in the opposite direction had been maintained, a decrease in nRL could have been expected during stretch, because the excitable window decreased in SZ—a situation which we failed to observe. The DFr increment in SZ during stretch did not depend upon the flow of wavefronts but on the electrophysiological changes produced by stretch. The observed significant relationship between the DFr ratio and the excitable window (VVmed-FRP) ratio shows that the accelerating effect of stretch in the zone in which it is applied is associated with a decrease in the excitable window, and therefore in the capacity to receive wavefronts from other zones. Limitations Radiofrequency lesions may have modified the VF activation patterns, though this does not preclude analysis of the changes in wavefront flow through the gap of preserved myocardium following acceleration of the VF in the anterior wall of the left ventricle. Analysis is facilitated by focusing the study on this zone located between the stretched left ventricle anterior wall and the nonstretched posterolateral wall. However, on circumscribing the analysis to the gap zone and adjacent myocardium, no information has been obtained on the flow of wavefronts toward the septum and anterior wall of the right ventricle, because epicardial mapping was carried out positioning the center of the multiple electrode in the zone of the isthmus. The mapped surface corresponds to this zone and to the adjacent zones of the anterior and posterior walls of the left ventricle. No information was obtained on the basal or apical zone. For this reason we have no direct information on the existence of reentries around the RF lesions. Nevertheless, analysis of the flow of wavefronts through the isthmus revealed no uniform patterns compatible with persistent reentry around the obstacles formed by the radiofrequency lesions. Another limitation March 2013 PACE, Vol. 36 VF CONDUCTION BETWEEN RADIOFREQUENCY LESIONS is derived from the epicardial analysis, which precludes the generation of precise data on the characteristics of intramural activation. On the other hand, although the method used did not give rise to modifications in global coronary flow during the stretching phase in an earlier study,27 this does not rule out the possible existence of local modifications in flow that could influence the variations in myocardial activation during the arrhythmia. Clinical Implications In this study, we have seen that the accelerated site located in the SZ does not increase the flow of wavefronts in the adjacent gap of preserved myocardium. The results indicate that the accelerated site exerts no greater influence upon activation in the posterolateral wall, and does not appear to act as a driver site for activity in this zone—though the study has the limitation of circumscribing the analysis of the directioning of excitation propagation to the zone of the gap of preserved myocardium—no information being obtained regarding the propagation toward other regions. We speculate that local interventions designed to reduce or abolish the activity of the fast zones during VF would have little influence upon the activity of the rest of myocardium, if not accompanied by global actions. Such interventions are different from those destined to control the triggering of VF; for example, the RF ablation of selected areas, which have been shown to be effective in reducing the number of arrhythmic episodes. Conclusion In the experimental model used, a slight predominance is observed in wavefront flow from the posterolateral wall of the left ventricle toward the anterior wall, through the isthmus of preserved myocardium located between the RF lesions. During the local VF acceleration induced by myocardial stretch, the modified zone continues to receive more wavefronts through the isthmus of preserved myocardium than the NSZ, and no significant changes in activation frequency are seen in this latter zone. The absence of significant changes in the electrophysiological parameters of the nonstretched myocardium limits the arrival of wavefronts from the SZ. References 1. Weiss JN, Garfinkel A, Karagueuzian HS, Qu Z, Chen PS. 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