Donate Help Contact The AHA Sign In Home
American Heart Association
Circulation Research
Search: search_blue_button Advanced Search
Circulation Research. 2000;86:86-93

This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF)
Right arrow Methods
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Right arrow Citation Map
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in PubMed
Right arrow Alert me to new issues of the journal
Right arrow Download to citation manager
Right arrow Request Permissions
Citing Articles
Right arrow Citing Articles via HighWire
Right arrow Citing Articles via Google Scholar
Google Scholar
Right arrow Articles by Chen, J.
Right arrow Articles by Jalife, J.
Right arrow Search for Related Content
PubMed
Right arrow PubMed Citation
Right arrow Articles by Chen, J.
Right arrow Articles by Jalife, J.
Related Collections
Right arrow Arrythmias-basic studies
Right arrow Imaging
(Circulation Research. 2000;86:86.)
© 2000 American Heart Association, Inc.


Integrative Physiology

High-Frequency Periodic Sources Underlie Ventricular Fibrillation in the Isolated Rabbit Heart

Jay Chen, Ravi Mandapati, Omer Berenfeld, Allan C. Skanes, José Jalife

From the Department of Pharmacology (J.C., R.M., O.B. A.S., J.J.) and Pediatrics (Cardiology) (R.M.), State University of New York Health Science Center, Syracuse, NY.

Correspondence to Dr José Jalife, Department of Pharmacology, SUNY Health Science Center at Syracuse, 766 Irving Ave, Syracuse, NY 13210. E-mail jalifej{at}vax.cs.hscsyr.edu


*    Abstract
up arrowTop
*Abstract
down arrowIntroduction
down arrowTerminology
down arrowMaterials and Methods
down arrowResults
down arrowDiscussion
down arrowReferences
 
Abstract—The mechanism(s) underlying ventricular fibrillation (VF) remain unclear. We hypothesized that at least some forms of VF are not random and that high-frequency periodic sources of activity manifest themselves as spatiotemporal periodicities, which drive VF. Twenty-four VF episodes from 8 Langendorff-perfused rabbit hearts were studied using high-resolution video imaging in conjunction with ECG recordings and spectral analysis. Sequential wavefronts that activated the ventricles in a spatially and temporally periodic fashion were identified. In addition, we analyzed the lifespan and dynamics of wavelets in VF, using a new method of phase mapping that enables identification of phase singularity points (PSs), which flank individual wavelets. Spatiotemporal periodicity was found in 21 of 24 episodes. Complete reentry on the epicardial surface was observed in 3 of 24 episodes. The cycle length of discrete regions of spatiotemporal periodicity correlated highly with the dominant frequency of the optical pseudo-ECG (R2=0.75) and with the global bipolar electrogram (R2=0.79). The lifespan of PSs was short (14.7±14.4 ms); 98% of PSs existed for <1 rotation. The mean number of waves entering (6.50±0.69) exceeded the mean number of waves that exited our mapping field (4.25±0.56; P<0.05). These results strongly suggest that ongoing stable sources are responsible for the majority of the frequency content of VF and therefore play a role in its maintenance. In this model, multiple wavelets resulting from wavebreaks do not appear to be responsible for the sustenance of this arrhythmia, but are rather the consequence of breakup of high-frequency activation from a dominant reentrant source.


Key Words: arrhythmia • electrophysiology • ventricular fibrillation • Fourier analysis • mapping


*    Introduction
up arrowTop
up arrowAbstract
*Introduction
down arrowTerminology
down arrowMaterials and Methods
down arrowResults
down arrowDiscussion
down arrowReferences
 
Ventricular fibrillation (VF) is the leading cause of sudden cardiac death in the industrialized world. It is estimated that VF results in {approx}300 000 deaths each year in the United States alone.1 Nevertheless, despite years of intensive research, its mechanism remains poorly understood. Recent studies from our laboratory2 3 4 5 and others6 7 8 9 have shown that VF is not entirely random and that complex spatiotemporal organization underlies this enigmatic phenomenon. Yet there is still some controversy as to whether fibrillation in the ventricles is due to (1) multiple unstable wavelet reentry,10 11 (2) the destabilization of 3-dimensional scroll waves and their breakup,12 13 14 15 or (3) the fibrillatory conduction from a single or a small number of ongoing reentrant circuits.2 16 Computer simulations have suggested that single or multiple 3-dimensional rotor(s) (ie, scroll waves) may be the underlying mechanism of VF.12 13 17 18 In 1995, Gray et al2 provided direct experimental evidence that at least some cases of VF can be due to a single rotor moving rapidly throughout the heart. However, in many studies, rotors are not consistently observed on the epicardial surface.15 19 20

We hypothesized that at least some forms of VF are not random and that high-frequency periodic sources of activity manifest themselves as spatiotemporal periodicities, which drive VF. To this end, we used frequency analysis, in conjunction with high-resolution video imaging and phase mapping,4 (1) to demonstrate spatiotemporal periodicity (STP) of wavefronts, (2) to determine its contribution to the frequency content of VF, and (3) to elucidate the relative importance of multiple wavelets in the maintenance of VF. Overall, the results from our study strongly suggest that a single or a small number of sources of periodic activity are responsible for the maintenance of VF and that fibrillatory conduction away from such sources results in multiple short-lived wavelets.


*    Terminology
up arrowTop
up arrowAbstract
up arrowIntroduction
*Terminology
down arrowMaterials and Methods
down arrowResults
down arrowDiscussion
down arrowReferences
 
As in our previous work on cardiac fibrillation,4 21 22 23 the following definitions will be used throughout this article:


*    Materials and Methods
up arrowTop
up arrowAbstract
up arrowIntroduction
up arrowTerminology
*Materials and Methods
down arrowResults
down arrowDiscussion
down arrowReferences
 
Langendorff-Perfused Rabbit Heart and Optical Mapping
The experimental protocol is similar to those published elsewhere.3 23 Briefly, isolated Langendorff-perfused rabbit hearts were continuously perfused through a cannula in the aortic root with warm (36.5±1°C) oxygenated Tyrode’s solution. The voltage-sensitive dye di-4-ANEPPS (2 mL; 15 µg/mL) was perfused through the coronary arteries for 1 to 2 minutes. VF was induced by burst pacing. Light at 535 nm was shone on the epicardial surface of the heart; the emitted fluorescence was acquired by a charge-coupled device camera at 240 frames per second.24 To reveal the signal, the background fluorescence was subtracted from each frame and low-pass spatial filtering was applied. All optical recordings were {approx}3 to 4 seconds in duration. An adjustable glass wall was used to gently compress and restrain the heart, and no electromechanical uncoupling agents were used.

Electrocardiographic and Frequency Analysis
Global volume–conducted bipolar ECGs were obtained at a sampling rate of 2400 Hz. Pseudo-ECGs 22 were constructed from optical recordings by integrating the transmembrane fluorescence signal over the entire mapped region of the ventricle. Fast Fourier transformation (FFT) was performed on both the global bipolar ECGs and pseudo-ECGs using Welch’s25 method.

Two-Dimensional Phase Maps
We quantified the patterns of wave propagation during VF using phase mapping,4 a recently developed technique, which highlights the formation of wavebreaks and the resulting PSs. In Figure 1ADown, the fluorescence (F) changes recorded by a single camera pixel (asterisk in Figure 1CDown) during VF are presented as a function of time. In Figure 1BDown, the fluorescence of this pixel at time t, F(t), was plotted against the fluorescence of the same pixel offset by a time interval {tau}=2 frames. A cyclic return map of F(t) versus F(t–{tau}) was constructed. This allowed a new parameter, the phase {theta}(t), to be defined as the angle of the coordinate [F(t), F(t–{tau})] around the mean fluorescence for that given pixel, with values between –{pi} and {pi}, represented as a continuous color scheme from red to purple. After the transformation, a new phase, {theta}(t), movie was produced including all pixels, whereby the upstroke of the action potential, and hence the activation wavefront, corresponded to the color green, whereas the plateau of the action potential corresponded to the colors blue and purple. The refractory tail of the action potential corresponded to the colors red and yellow. A PS was defined at the point where all phases converged. Figure 1CDown is a single snapshot (phase map) of a phase movie with 3 wavelets, each bounded by a PS or a PS and a boundary.



View larger version (52K):
[in this window]
[in a new window]
 
Figure 1. Two-dimensional phase-mapping technique. A, Time course of fluorescence (F) of a single pixel (C, *) during VF. B, Return map of F is constructed by plotting F(t–2) vs F(t), where t=frame number. Colors denoted for each value of {theta}(t) are shown. See text for details. C, Two-dimensional phase map at a single instant during VF. Three wavelets are seen (wavelets 1-2, 3-4, and 5-boundary), each bounded by a PS or a PS and a boundary (PSs 1-5). Green corresponds to the activated wavefront, purple to the plateau of the action potential, and red to refractory tissue.

Data Analysis
In 8 experiments, 24 optical recording episodes were analyzed for STP. Only 10 randomly chosen episodes were analyzed for lifespan analysis; all 24 episodes were analyzed for waves entering and leaving.

Statistical Analysis
Correlation of frequencies was performed using simple linear regression analysis. Comparisons were also performed using standard ANOVA. A P<0.05 was considered to be statistically significant.

An expanded Materials and Methods section is available online at http://www.circresaha.org.


*    Results
up arrowTop
up arrowAbstract
up arrowIntroduction
up arrowTerminology
up arrowMaterials and Methods
*Results
down arrowDiscussion
down arrowReferences
 
STP Analysis
To evaluate the frequency content of episodes of VF, we first performed spectral analysis on global and local measures of ventricular electrical activity (ie, global bipolar ECG and pseudo-ECG, respectively). For all episodes analyzed, the dominant frequency (DF) of the global bipolar electrograms (EGs) ranged between 9.0 and 19.2 Hz, with a mean of 13.2±3.4 Hz (cycle length, 76±20 ms). The DF of the pseudo-ECGs ranged between 7.0 and 20.1 Hz, with a mean of 12.6±4.0 Hz (cycle length, 79±25 ms).

A representative example is shown in Figure 2Down, with its corresponding optical data. The pseudo-ECG (Figure 2ADown) shows rapid, irregular activity, and its FFT (Figure 2BDown) has a dominant peak at 12.2 Hz, with a smaller peak at 10.4 Hz. The global bipolar EG for this same episode is illustrated in Figure 2CDown, with its corresponding FFT shown in Figure 2DDown. In this single example, a DF peak is seen at 12.1 Hz, and 2 smaller peaks are seen at 11.0 and 13.5 Hz. For the purposes of this study, the dominant frequencies of the pseudo-ECGs and global bipolar ECGs can be considered identical, as they are within the given spectral resolution of our system. Subsequent examination of the optical recordings from the same episode revealed the source of this DF in the form of STP (Figure 2EDown). Figure 2EDown shows 4 sequential isochrone maps of activation for this same episode of VF over a period of 333 ms (see horizontal bars in Figure 2ADown and 2CDown). All 4 maps contain a very similar periodic activity, with a wavefront emerging repetitively and periodically from the upper left corner. This spatiotemporal periodic activity continued throughout the entire 4 seconds of recording. The cycle length of these periodic waves was {approx}83 ms, which corresponded to the DF peak of the FFT (12.1 Hz) seen in both the pseudo-EGs and global bipolar EGs, clearly demonstrating that these periodic waves were responsible for the DF of the arrhythmia in this specific example. As can be seen in activations 3 and 4 of Figure 2EDown, these periodic waves did not always propagate across the mapping field undisturbed. More often than not, these waves did not activate the rest of the mapped region in a 1:1 manner after entering the mapping field but followed complex pathways with multiple spatially distributed conduction delays and sites of block (ie, fibrillatory conduction). Figure 2FDown shows a single pixel recording from the region where the STP enters the mapped region (black asterisk in Figure 2EDown). The FFT of this pixel recording (Figure 2GDown) shows a single narrow peak at 12.2 Hz, which corresponds to the DF of both the optical pseudo-ECG and bipolar ECG, in addition to the cycle length between this spatiotemporal periodic activity. At a site distant from this region (white asterisk in Figure 2EDown; map at t=249 ms), fibrillatory conduction results in activity shown in Figure 2HDown. At this pixel location (white asterisk), the DF (Figure 2IDown) is 10.3 Hz, with a prominent secondary peak at 12.3 Hz. This spectral pattern correlates well with patterns of activation at this location, where an approximate sequence of 6:5 could be demonstrated. Thus, the representative isochrone map of activation patterns (Figure 2EDown), in conjunction with the 2 peaks seen in Figure 2IDown, shows that the faster peak (12.3 Hz) represents the input frequency and the slower peak represents the output frequency at that site. Spatial distribution of many such patterns of complex input:output relations is the hallmark of fibrillatory conduction. Overall, the data presented strongly suggest the presence of a periodic source outside the mapping region at 12.1 Hz that is driving this complex arrhythmia.



View larger version (44K):
[in this window]
[in a new window]
 
Figure 2. EGs with corresponding spectral analysis and isochrone maps from a single episode of VF. A and B, Optical pseudo-ECG and its FFT, respectively. C and D, Global bipolar EG and its FFT, respectively. E, Four sequential isochrone maps during VF. Lines denote path of the excitation wave, where red is the first site to be activated and purple the last. Time label underneath each map corresponds to the first activation of each sequence (red). Timing of the isochrone maps is indicated by horizontal bars over the EGs in panels A and C. F and G, Single-pixel recording from black asterisk in panel E (t=0 ms) and its FFT. H and I, Single-pixel recording from white asterisk in panel E (t=249 ms) and its FFT. See text for details.

After having demonstrated the direct relationship between the frequency of periodic activity and the global VF DF, we then proceeded to quantify such a relationship in all episodes. Figure 3Down shows the correlation between the frequency of the periodic activity (STP) and the DF of the pseudo-EG. As shown in Figure 3ADown, in 24 episodes from 8 hearts, we obtained a strong correlation of R2=0.75 between these 2 variables. In Figure 3BDown, a similar correlation for the DF of the global bipolar EG and the frequency of the STP region produced an R2 value of 0.79. In many cases (52%), the frequency of the STP region was higher than the DF of the pseudo-ECG but was still represented as a significant peak in the frequency spectra. As seen in Figure 2Up, this is most likely reflective of the fact that activity from the periodic site was not propagating in a 1:1 fashion to the majority of the mapping field, thus representing breakup of periodic activity and fibrillatory conduction. Overall, the high correlation between the periodic sources and the global DF strongly suggests that these spatiotemporal periodic wavefronts are the source for the majority of the frequency content of VF.



View larger version (17K):
[in this window]
[in a new window]
 
Figure 3. Correlation of DF of the STP regions with DF of pseudo-EGs and global bipolar EGs. A, DF of the STP regions vs DF of the pseudo-EG. B, DF of the STP regions vs DF of the global bipolar EG. Dashed line corresponds to unity line.

Sources and Nature of Periodic Activity
In 21 of 24 episodes, STP was found. In many cases, however, sources (ie, rotors and/or breakthroughs) alternated with STP occurring from the edge of the mapping field. That is, a source would persist for several activations and either drift out of the mapped region or terminate, in which case STP from the edge would occur. These sources would reappear later on in the movies with the concomitant termination of STP from the edge. For those select episodes (n=16) in which the source of STP was clearly identified, 12.5% of the time (2 episodes) this source occurred exclusively in the form of a rotor (Figure 4Down), 81.25% of the time (13 episodes) it occurred exclusively in the form of a breakthrough (Figure 5Down), and 6.25% of the time (1 episode), the source was seen to alternate between a periodic breakthrough and a rotor (Figure 6Down). In specific cases, these sources were seen to persist during the entire episode. As can be seen in Figure 4BDown, a rotor acted as a source of 2 distinct periodic waves. This rotor persisted for 52 rotations, and both waves emanating from it were seen to exit the field of view in a spatially and temporally similar fashion throughout the episode. As seen in the series of 2-dimensional phase maps illustrated in Figure 4ADown, this mother rotor (represented by PS 1) gave rise to multiple short-lived wavelets, in addition to the 2 broad wavelets that eventually left the field of view. Two-dimensional phase mapping better enabled us to study the generation of multiple wavelets. At t=0 ms, this source wave, bounded by PS 1 and PS 2, is clearly seen as a reentrant phenomenon on the ventricular epicardium. At t=8 ms, wavelet 1-2 breaks up into wavelets 1-3 and 4-2, each bounded by a PS. At t=16 ms, wavelet 4-2 persists, and wavelet 1-3 breaks up into wavelets 3-6 and 1-5. At t=24 ms, wavelet 4-2 continues to move toward the left ventricular free wall, whereas wavelet 6-3 extinguishes itself on refractory tissue (red). Wavelet 1-5 breaks up into 2 distinct wavelets (not shown, as it is outside of the mapping field), appropriately named wavelet 1-boundary and wavelet 5-boundary. Finally, at t=32 ms, wavelet 4-2 moves upward and to the right, and wavelet 5-boundary moves downward and to the left. Both waves eventually exit the mapping region. Wavelet 1-boundary, also characterized as mother rotor PS 1, continues to rotate, acting as a source of new wavelets for the remainder of the movie. In Figure 4BDown, the isochrone map for this activation sequence (ie, three fourths of a rotation) depicted in the phase maps t=0 through t=32 ms is shown.



View larger version (73K):
[in this window]
[in a new window]
 
Figure 4. Multiple wavelets emanating from a mother rotor. A, Two-dimensional phase maps of a single rotor giving rise to multiple wavelets and their corresponding PSs (1 through 5). See text for details. B, Isochrone map of the activation sequence shown in panel A (t=0 to t=32 ms). Lines denote path of the excitation wave, where red is the first site to be activated and purple the last.



View larger version (69K):
[in this window]
[in a new window]
 
Figure 5. Two-dimensional phase maps of a single periodic breakthrough giving rise to multiple wavelets and their corresponding PSs (1 through 4). See text for details.



View larger version (34K):
[in this window]
[in a new window]
 
Figure 6. A single periodic breakthrough alternating with a rotor during VF. A, Isochrone maps characterizing the nature of the source from t=1.483 to t=4.096 seconds. Red is the first site to be activated and purple the last. Lines denote path of the excitation wave. See text for details. B and C, Optical pseudo-EG and its FFT, respectively. First dashed line from left in panel B corresponds to t=1.483 seconds, second dashed line corresponds to t=3.554 seconds, and third dashed line corresponds to t=4.096 seconds.

High-frequency periodic sources were also observed to occur in the form of a breakthrough (Figure 5Up). Two-dimensional phase maps are shown illustrating one such source that persists throughout the movie. At t=0 ms, no depolarization wavefront is seen on the ventricular epicardial surface. At t=4 ms, wavelet 1 to 2, bounded on each side by PS 1 and PS 2, creeps into the mapping region from the midmyocardial or endocardial muscle layers of the right ventricle. Four milliseconds later, the full wavelet emerges and begins to propagate toward the left ventricle. At t=20 ms and t=28 ms, wavelet 1 to 2 now moves toward the apex and the left ventricular free wall. At t=36 ms, wavelet 1 to 2 breaks up into wavelets 2 to 3 and 1 to 4. Eventually wavelets 2 to 3 and 1 to 4 exit the mapping field (not shown).

The isochrone maps depicted in Figure 6AUp illustrate an example in which the source alternated between a breakthrough and a rotor. In Figure 6BUp and 6CUp, respectively, the pseudo-EG from the same episode and its FFT are shown. At t=1.483 seconds (first dashed line from left in Figure 6BUp), a periodic breakthrough is shown that persisted for 43 activations acting as a source of new wavelets. The frequency of activation of this source accelerated and decelerated. Most commonly, however, the cycle length at the breakthrough site was {approx}61 ms, which corresponded highly to the DF of the FFT (16.4 Hz; Figure 6CUp). The cycle length of this breakthrough varied from {approx}50 to {approx}69 ms, corresponding to peaks in the range of 14.5 to 20.2 Hz. At t=3.554 seconds (second dashed line from left in Figure 6BUp), the breakthrough transformed into a rotor, which persisted for 10 rotations and meandered in a cycloid fashion, finally ending up in the location depicted at t=3.912 seconds. The rotation period at t=3.554 seconds ({approx}50 ms) showed a small increase to 54 ms at t=3.912 seconds. Both of these rotation periods are represented by major peaks in the FFT at 20.2 and 18.5 Hz, respectively. At t=3.912 seconds, the rotor continued for 2 more activations before finally transforming back to a breakthrough at t=4.096 seconds. A reasonable interpretation of these results is that the overall arrhythmia resulted from high-frequency activation by a single nonstationary scroll wave, of which the filament changed orientation repeatedly with respect to the ventricular epicardium, and most likely resulted in the source alternating between a rotor and a breakthrough.

Figure 7Down illustrates STP from the edge of the mapping region alternating with STP in the form of a breakthrough. In the isochrone map shown in Figure 7ADown, at t=1.708 seconds (first dashed line from left in Figure 7BDown), a wavefront activates the apex of the left ventricle and proceeds toward the base. This activity occurred in a spatially and temporally similar fashion for 14 activations. The cycle length of this activity was {approx}100 ms, which was equal to the DF of the FFT (9.9 Hz; Figure 7CDown) of the optical pseudo-EG (Figure 7BDown). At t=3.108 seconds (second dashed line from left in Figure 7BDown), STP from the edge stopped, and STP was then seen to occur in the form of a breakthrough. This source persisted for 7 activations at a cycle length of {approx}100 ms and gradually drifted toward the upper right corner of the mapped region. Finally, at t=3.808 seconds (third dashed line from left in Figure 8BDown), the breakthrough drifted out of the field of view, and STP (cycle length {approx}100 ms) occurred once again from the edge.



View larger version (29K):
[in this window]
[in a new window]
 
Figure 7. A mechanism of STP alternating from the edge of the mapping field and as a breakthrough (ie, drift). A, Isochrone maps characterizing a rapidly drifting breakthrough from t=1.708 to t=3.808 seconds. Lines denote path of the excitation wave, where red is the first site to be activated and purple the last. See text for details. B and C, Optical pseudo-EG and its FFT, respectively. First, second, and third dashed lines (from left) in panel B correspond to t=1.708, t=3.108, and t=3.808 seconds, respectively.



View larger version (27K):
[in this window]
[in a new window]
 
Figure 8. Analysis of lifespan of PSs during VF in ms and rotations (see text for details).

Analysis of Wavelet Lifespan During Sustained VF
To investigate the role of multiple wavelets in the sustenance of this complex arrhythmia, we measured the lifespan of PSs and hence indirectly measured the lifespan of wavelets during VF. Figure 8Up shows the lifespan of PSs in milliseconds and rotations. The lifespan distribution was skewed to the left, with 51% of PSs lasting only 8 ms or less. The mean lifespan of PSs was short, 14.7±14.4 ms, with a range that varied from 4.17 (1 frame) to 100 ms. Because the average rotation period of a rotor was {approx}80 ms, 98% of PSs were found to exist for <1 rotation. The majority of these short-lived PSs were seen to be the result of breakup from broad spatiotemporal periodic waves (ie, fibrillatory conduction; see Figure 4Up).

Waves Entering and Leaving the Field of View
We hypothesized that if wavebreaks and their resulting wavelets were not maintaining this arrhythmia, the number of waves entering the mapping field should exceed or be equal to the number of waves leaving it. In Figure 9ADown, the mean number of waves entering the mapping region was 6.50±0.69, whereas the mean number of waves leaving was 4.25±0.56 (P<0.05) for all experiments. In Figure 9BDown, the ratio of entering to leaving waves (E:L ratio) for each episode varied from 0.6 to 5.0 with a mean of 1.92±1.03 (hatched bar). In 21 of 24 episodes (85.0%), the E:L ratio was >1; 3 episodes (15.0%) had an E:L ratio <1. In 2 of the 3 cases in which the E:L ratio was <1, periodic breakthroughs were observed. In the other example, an ongoing rotor was seen acting as a source of new wavelets. It is important to note that in all cases in which a periodic source of wavelets (ie, a rotor or breakthrough) was present, the number of wavelets leaving the mapping region exceeded those entering. However, as only the last 50 frames ({approx}200 ms) of each episode were analyzed because of the laborious time of analysis, periodic sources were not always present. Hence, during this time frame, the number of wavelets leaving did not always exceed those entering. In those episodes in which we could see a periodic source of activity (n=16), this source was often intermittent in nature, alternating with STP from the edge (Figure 7Up).



View larger version (32K):
[in this window]
[in a new window]
 
Figure 9. Quantification of the number of waves entering and leaving the mapping field for all experiments (8 hearts, 24 episodes). A, Mean number of wavelets entering and leaving the mapping region. B, Ratio of waves entering vs leaving (E:L ratio) the mapping region. Mean±SD of the E:L ratio is shown as a hatched bar.


*    Discussion
up arrowTop
up arrowAbstract
up arrowIntroduction
up arrowTerminology
up arrowMaterials and Methods
up arrowResults
*Discussion
down arrowReferences
 
In this study, we have demonstrated organization during VF in the form of sequences of wave propagation that activated the ventricles in a spatially and temporally similar fashion over time. Furthermore, the frequency of such periodic activity corresponded highly to the dominant peak in both the global bipolar EG and the optical pseudo-ECG, strongly suggesting that the source(s) of this spatial and temporally periodic activity is the dominant source maintaining VF in this model. The lifespan of PSs, and hence indirectly the lifespan of wavelets during VF, was short; 98% of them lasted <1 average rotation period. In the vast majority of cases, the number of waves entering the mapping region exceeded the number leaving, despite a large number of wavebreaks and new wavelet formation. This suggests that the breaking of waves, although effective in producing a large number of wavelets in the mapping region, was not a robust mechanism of long-term new wavelet production in the ventricles as a whole. Overall, these results strongly suggest that periodic sources of activity are responsible for the majority of the frequency content of VF and are therefore important for the maintenance of this arrhythmia. Fibrillatory conduction from such sources results in the formation of short-lived wavelets and the complex activation patterns characteristic of VF.

Technical Considerations
Two-dimensional phase mapping is a powerful technique to analyze wave propagation in VF. However, certain constraints need to be considered. Irregularities in small-amplitude fluorescence signals near the phase singularity may cause limit cycle trajectories in the return map, which do not envelop the center of the map (Figure 3BUp online; see http://www.circresaha.org). Arbitrarily choosing the mean fluorescence as the center of the map minimized the occurrence of such trajectories. On the basis of sample recordings (not shown), we have estimated the error in localizing the PSs to be {approx}0.5 mm. Therefore, owing to the highly coupled nature of the cardiac tissue, it is difficult to conceive of erroneous PSs produced as a result of this phenomenon. Rarely, wavelets can survive annihilation of their PSs during failed vortex shedding,26 and therefore some wavelets may have gone undetected by our analysis. We only mapped 40% of the epicardial surface of the ventricles and thus have no information about the midmyocardial and the endocardial muscle layers. The high preponderance of epicardial breakthroughs in our experiments, in addition to recent computer simulations performed on a realistic 3-dimensional representation of the heart,12 13 17 18 strongly suggest that intramural reentry may be the source for VF, but the hypothesis requires experimental validation. As a whole, we do not believe these limitations in our technique affected the results of this study. Lastly, our experiments were performed on an isolated Langendorff-perfused rabbit heart. The relevance of these data to human VF remains to be determined.

Previous Studies on VF
Several theories regarding the underlying mechanisms of VF have been proposed, as follows: (1) multiple unstable wavelet reentry, where multiple wavelets were thought to move randomly throughout cardiac tissue and a critical number of wavelets was required for the sustenance of this arrhythmia10 11 ; (2) 3-dimensional scroll waves and their destabilization and breakup12 13 14 15 ; and (3) uninterrupted periodic activity of discrete reentrant sites with the subsequent breakup of waves, ie, fibrillatory conduction.2 16 One important factor that is unaccounted for by the first 2 hypotheses is the presence of organized activity in the form of persistent STP, as demonstrated in most of our episodes of VF. In fact, some recent studies have also demonstrated spatial organization during VF. Bayly et al8 showed a correlation between recordings obtained by closely spaced unipolar electrodes. Furthermore, Damle et al7 previously showed spatial and temporal linking of epicardial activation patterns in a canine model of VF. More recently, elegant studies by Huang et al27 and Rogers et al20 quantified organization during VF using a concept very similar to STP. They used a parameter termed "multiplicity," which measures the number of different pathways in an overall activation. Altogether, these studies provide strong evidence that VF is not an entirely random phenomenon. Our study is the first to demonstrate organization during VF in the form of STP and to relate such activity to the frequency content of VF.

Mechanism Underlying the Periodicity
It has generally been accepted that the mechanisms underlying the maintenance of VF are reentrant in nature.28 For those select episodes (n=16) in which the source of STP was observed within our field of view, 12.5% of the time (2 episodes) this source occurred exclusively in the form of a rotor (Figure 4Up), 81.25% of the time (13 episodes) it occurred exclusively in the form of a breakthrough (Figure 5Up), and 6.25% of the time (1 episode) the source was seen to alternate between a rotor and a periodic breakthrough (Figure 6Up). These results are compatible with the idea that complex 3-dimensional vortex-like reentry17 (ie, scroll waves) is the most likely underlying mechanism of VF in this model. According to contemporary hypotheses, 3-dimensional reentry is organized around a central filament that forms the rotation axis of reentry. The evolution of the filament influences the dynamics of the arrhythmia, and the filament orientation determines the nature of the epicardial activation patterns. Our results do not provide information about activity inside the ventricular wall. However, as breakthrough patterns were the most common form of periodic activity seen, we speculate that, more often than not, the filament was probably not aligned perpendicularly to the epicardial surface. Using plunge electrodes, Chen et al14 were the first to demonstrate pairs of mirror-image scroll waves, of which the filaments were aligned perpendicularly to the ventricular epicardial surface (ie, transmural reentry). In such a case, the 2-dimensional manifestation of the scroll wave on the epicardial surface would be a spiral wave. On the other hand, it is not difficult to perceive instances in which the filament is not aligned perpendicularly to the epicardial surface (ie, intramural reentry). Recent work by Berenfeld and Pertsov17 has provided a mechanistic explanation for the greater prevalence of intramural reentry over transmural reentry, whereby the scroll wave filament shows a tendency to align along the local myocardial fiber orientation and thus is not perpendicular to the epicardial surface. According to that study,17 stable intramural reentry would be manifest as periodic breakthroughs of activity on the epicardial surface, thus providing an explanation for the predominance of breakthroughs over rotors as a source of STP.

Duration of Spatiotemporal Patterns and Number of Apparent Sources
In certain episodes, STP could be seen throughout the entire 3- to 4-second recording. However, in most episodes it was transient (4 to 51 activations). In all cases, when the wavefront entered the mapping field, breakup of activity occurred, with independent short-lived wavelets being produced. In the vast majority of episodes, periodic activity would last for 4 or more activations, thereafter it would stop, and then it would return later on at the same location and with the same frequency (ie, intermittent STP). This could reflect propagation from a single rotor with intermittent block. In addition, it was noted that in some episodes there was spatiotemporal periodic activity that stopped, propagated into our mapping field from a different spatial orientation, and then once again returned to its original spatiotemporal pattern of propagation. This phenomenon could be explained by epicardial activation patterns from a single source via multiple select routes of ongoing 1:1 propagation or propagation from a rotor that is drifting back and forth. Alternatively, it could also be explained by 2 distinct independent sources of activity at a similar frequency; yet the first 2 scenarios seem more plausible in this case.

It is important to note that the frequency of periodic activity was not always the same. As clearly demonstrated in Figure 6Up, the rotation period of the source (ie, rotor in this case) may change as it meanders, and thus periodic activity emanating from this source may exit the mapped region with slight changes in frequency. In the faster and more complex episodes of VF, such a phenomenon was not uncommon. However, in the slower and more organized episodes of VF, such an occurrence was never found (Figure 7Up). Nevertheless, in the rare case in which there was more than one distinct site of STP in the same episode, the frequency of these spatiotemporal periodic regions was usually the same (Figure 7Up), which might reflect sites of activation in a 1:1 manner from a mother source. Finally, as the rotation period of a mother rotor may accelerate or decelerate, multiple peaks may be seen in the FFT (Figure 6CUp), thus representing different rotation periods of that rotor at different points in time. Varying degrees of intermittent block of waves propagating from the periodic sources (Figure 2Up) resulting in spatially distributed input:output frequency relations (eg, 6:5, 4:3) is also a mechanism for the multiple distinct peaks seen in the frequency spectra of VF.

Are Multiple Wavelets Important in the Maintenance of VF?
To answer this question, we measured the lifespan of PSs, and hence indirectly that of wavelets. The lifespan of PSs was short; 98% of them lasted <1 rotation. According to the multiple wavelet hypothesis, cardiac fibrillation is maintained by spontaneous wavebreaks that constantly generate randomly wandering daughter wavelets.10 11 If the lifespan of wavelets is very short, then these wavelets will have a decreased chance to give rise to new wavelets, in a dynamic equilibrium that maintains fibrillation, as originally postulated by Moe et al10 in 1964. In fact, if we had sampled at a rate faster than 240 Hz ({approx}4 ms), it is quite probable that the lifespan of many wavelets would have been even shorter, giving further credence to our hypothesis.

To test the relevance of the multiple wavelet hypothesis to VF in our model, we measured the number of wavelets entering and leaving our mapping field as an estimate of the number of new wavelets produced. If multiple randomly occurring wavelets are the "engine" that maintains fibrillation, there should be an equal/neutral or positive balance between the number of wavelets created and the number destroyed so that a critical number of wavelets still remains. In such a schema, the number of wavelets leaving our mapping field should be equal to or greater than the number of wavelets entering that field. In our experiments, despite a large number of wavebreaks, multiple wavelets were in general constrained to the mapping field (E:L ratio >1), except when a periodic source of activity (ie, rotor or breakthrough) was found. This suggests that the breaking of waves, although effective in producing large numbers of wavelets in the mapping region, was not a robust mechanism of new wavelet production for the ventricle as a whole.

The question then becomes, if multiple wavelets are not maintaining this complex arrhythmia, then what is? Our data are the first to show that spatiotemporally periodic waves are important contributors to the frequency content of VF and hence are important for the maintenance of VF. Moreover, these spatiotemporal periodic sources were always cycling at the fastest frequency so that the rest of the tissue could not keep up in a 1:1 manner. The coexistence of short-lived wavelets with periodic activity mostly in the form of breakthroughs strongly suggests that fibrillatory conduction away from relatively stable intramural scroll waves17 underlies VF in our experimental model.


*    Acknowledgments
 
This work was supported in part by a Grant PO1-HL-39707 from the National Heart, Lung, and Blood Institute; an American Heart Association New York State Affiliate Fellowship awarded to R.M. and O.B.; and a North American Society for Pacing and Electrophysiology Fellowship awarded to A.C.S. In addition, we thank Jiang Jiang, Fan Yang, and Clara Wu for their technical assistance.

Received August 5, 1999; accepted October 13, 1999.


*    References
up arrowTop
up arrowAbstract
up arrowIntroduction
up arrowTerminology
up arrowMaterials and Methods
up arrowResults
up arrowDiscussion
*References
 

  1. Myerburg RJ, Kessler KM, Interian A Jr, Fernandez P, Kimura S, Kozlovskis PL, Furukawa T, Bassett AL, Castellanos A. Clinical and experimental pathophysiology of sudden cardiac death. In: Zipes DP, Jalife J, eds. Cardiac Electrophysiology: From Cell to Bedside. 1st ed. Philadelphia, Pa: WB Saunders Co; 1990:666–678.
  2. Gray RA, Jalife J, Panfilov AV, Baxter WT, Cabo C, Davidenko JM, Pertsov AM. Mechanisms of cardiac fibrillation. Science. 1995;270:1222–1225.[Abstract/Free Full Text]
  3. Gray RA, Jalife J, Panfilov AV, Baxter WT, Cabo C, Davidenko JM, Pertsov AM. Nonstationary vortex-like reentry as a mechanism of polymorphic ventricular tachycardia in the isolated rabbit heart. Circulation. 1995;91:2454–2469.[Abstract/Free Full Text]
  4. Gray RA. Pertsov AM, Jalife J. Spatial and temporal organization during cardiac fibrillation. Nature. 1998;392:75–78.[Medline] [Order article via Infotrieve]
  5. Jalife J, Gray R. Drifting vortices of electrical waves underlie ventricular fibrillation in the rabbit heart. Acta Physiol Scand. 1996;157:123–131.[Medline] [Order article via Infotrieve]
  6. Garfinkel A, Chen P, Walter DO, Karagueuzian HS, Kogan B, Evans SJ, Karpoukhin M, Hwang C, Uchida T, Gotoh M, Nwasokwa O, Sager P, Weiss JN. Quasiperiodicity and chaos in cardiac fibrillation. J Clin Invest. 1997;99:305–314.[Medline] [Order article via Infotrieve]
  7. Damle RS, Kanaan NM, Robinson NS, Ge YZ, Goldberger JJ, Kadish AH. Spatial and temporal linking of epicardial activation directions during ventricular fibrillation in dogs: evidence for underlying organization. Circulation. 1992;86:1547–1558.[Abstract/Free Full Text]
  8. Bayly PV, Johnson EE, Wolf PD, Greenside HS, Smith WM, Ideker RE. A quantitative measurement of spatial order in ventricular fibrillation. J Cardiovasc Electrophysiol. 1993;4:533–546.[Medline] [Order article via Infotrieve]
  9. Witkowski FX, Kavanagh KM, Penkoske PA, Plonsey R, Spano ML, Ditto WL, Kaplan DT. Evidence for determinism in ventricular fibrillation. Physiol Rev Lett. 1995;75:1230–1233.
  10. Moe GK, Rheinboldt WC, Abildskov JA. A computer model of atrial fibrillation. Am Heart J. 1964;67:200–220.[Medline] [Order article via Infotrieve]
  11. Moe GK. On the multiple wavelet hypothesis of atrial fibrillation. Arch Int Pharmacodyn. 1962;149:1–2.
  12. Fenton F, Karma A. Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: filament instability and fibrillation. Chaos. 1998;8:20–46.[Medline] [Order article via Infotrieve]
  13. Panfilov AV. Spiral breakup as a model of ventricular fibrillation. Chaos. 1998;8:57–64.[Medline] [Order article via Infotrieve]
  14. Chen PS, Wolf PD, Dixon EG, Danieley ND, Frazier DW, Smith WM, Ideker RE. Mechanism of ventricular vulnerability to single premature stimuli in open chest dogs. Circ Res. 1988;62:1191–1209.[Abstract/Free Full Text]
  15. Witkowski FX, Leon LJ, Penkoske PA, Giles WR, Spanol ML, Ditto WL, Winfree AT. Spatiotemporal evolution of ventricular fibrillation. Nature. 1998;392:78–82.[Medline] [Order article via Infotrieve]
  16. Janse MJ, Wilms-Schopman FJG, Coronel R. Ventricular fibrillation is not always due to multiple wavelet reentry. J Cardiovasc Electrophysiol. 1995;6:512–521.[Medline] [Order article via Infotrieve]
  17. Berenfeld O, Pertsov AM. Dynamics of intramural scroll waves in a 3-dimensional continuous myocardium with rotational anisotropy. J Theor Biol. 1999;199:383–394.[Medline] [Order article via Infotrieve]
  18. Berenfeld O, Jalife J. Purkinje-muscle reentry as a mechanism of polymorphic ventricular arrhythmias in a 3-dimensional model of the ventricles. Circ Res. 1998;82:1063–1077.[Abstract/Free Full Text]
  19. Kim DT, Kwan Y, Lee JJ, Ikeda T, Uchida T, Kamjoo K, Kim YH, Ong JJC, Athill CA, Wu TJ, Czer L, Karagueuzian HS, Chen PS. Patterns of spiral tip motion in cardiac tissues. Chaos. 1998;8:137–147.[Medline] [Order article via Infotrieve]
  20. Rogers JM, Huang J, Smith WM, Ideker RE. Incidence, evolution, and spatial distribution of functional reentry during ventricular fibrillation in pigs. Circ Res. 1999;84:945–954.[Abstract/Free Full Text]
  21. Pertsov AM, Davidenko JM, Salomonsz R, Baxter W, Jalife J. Spiral waves of excitation underlie reentrant activity in isolated cardiac muscle. Circ Res. 1993;72:631–640.[Abstract/Free Full Text]
  22. Skanes AC, Mandapati R, Berenfeld O, Davidenko JM, Jalife J. Spatiotemporal periodicity during atrial fibrillation in the isolated sheep heart. Circulation. 1998;98:1236–1248.[Abstract/Free Full Text]
  23. Mandapati R, Asano Y, Baxter WT, Gray R, Davidenko JM, Jalife J. Quantification of the effects of global ischemia on the dynamics of ventricular fibrillation in the isolated rabbit heart. Circulation. 1998;98:1688–1696.[Abstract/Free Full Text]
  24. Baxter WT, Davidenko JM, Loew LM, Wuskell JP, Jalife J. Technical features of a CCD camera system to record cardiac fluorescence data. Ann Biomed Eng. 1997;25:713–725.[Medline] [Order article via Infotrieve]
  25. Welch PD. The use of fast Fourier transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms. IEEE Trans Audio Electroacoust. 1967;AU-15:70–73.
  26. Cabo C, Pertsov AM, Davidenko JM, Baxter WT, Gray RA, Jalife J. Vortex shedding as a precursor of turbulent electrical activity in cardiac muscle. Biophys J. 1996:70:1105–1111.
  27. Huang J, Rogers JM, Kenknight BH, Rollin DL, Smith WM, Ideker RE. Evolution of the organization of epicardial activation patterns during ventricular fibrillation. J Cardiovasc Electrophysiol. 1998;9:1291–1304.[Medline] [Order article via Infotrieve]
  28. Epstein AE, Ideker RE. Ventricular fibrillation. In: Zipes DF, Jalife J, eds. Cardiac Electrophysiology: From Cell to Bedside. 2nd ed. Philadelphia, Pa: WB Saunders Co; 1995:927–933.



This article has been cited by other articles:


Home page
Am. J. Physiol. Heart Circ. Physiol.Home page
D. J. Dosdall, P. B. Tabereaux, J. J. Kim, G. P. Walcott, J. M. Rogers, C. R. Killingsworth, J. Huang, P. G. Robertson, W. M. Smith, and R. E. Ideker
Chemical ablation of the Purkinje system causes early termination and activation rate slowing of long-duration ventricular fibrillation in dogs
Am J Physiol Heart Circ Physiol, August 1, 2008; 295(2): H883 - H889.
[Abstract] [Full Text] [PDF]


Home page
Circ. Res.Home page
N. A. Trayanova
The Long and the Short of Long and Short Duration Ventricular Fibrillation
Circ. Res., May 23, 2008; 102(10): 1151 - 1152.
[Full Text] [PDF]


Home page
FASEB J.Home page
S. B. Danik, G. Rosner, J. Lader, D. E. Gutstein, G. I. Fishman, and G. E. Morley
Electrical remodeling contributes to complex tachyarrhythmias in connexin43-deficient mouse hearts
FASEB J, April 1, 2008; 22(4): 1204 - 1212.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Heart Circ. Physiol.Home page
K. Nanthakumar, J. Jalife, S. Masse, E. Downar, M. Pop, J. Asta, H. Ross, V. Rao, S. Mironov, E. Sevaptsidis, et al.
Optical mapping of Langendorff-perfused human hearts: establishing a model for the study of ventricular fibrillation in humans
Am J Physiol Heart Circ Physiol, July 1, 2007; 293(1): H875 - H880.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Heart Circ. Physiol.Home page
S. Masse, E. Downar, V. Chauhan, E. Sevaptsidis, and K. Nanthakumar
Ventricular fibrillation in myopathic human hearts: mechanistic insights from in vivo global endocardial and epicardial mapping
Am J Physiol Heart Circ Physiol, June 1, 2007; 292(6): H2589 - H2597.
[Abstract] [Full Text] [PDF]


Home page
Biophys. JHome page
J. M. Rogers, G. P. Walcott, J. D. Gladden, S. B. Melnick, and M. W. Kay
Panoramic Optical Mapping Reveals Continuous Epicardial Reentry during Ventricular Fibrillation in the Isolated Swine Heart
Biophys. J., February 1, 2007; 92(3): 1090 - 1095.
[Abstract] [Full Text] [PDF]


Home page
EuropaceHome page
S. Masse, E. Downar, V. Chauhan, E. Sevaptsidis, and K. Nanthakumar
Wave similarity of human ventricular fibrillation from bipolar electrograms
Europace, January 1, 2007; 9(1): 10 - 19.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Heart Circ. Physiol.Home page
M. W. Kay, G. P. Walcott, J. D. Gladden, S. B. Melnick, and J. M. Rogers
Lifetimes of epicardial rotors in panoramic optical maps of fibrillating swine ventricles
Am J Physiol Heart Circ Physiol, October 1, 2006; 291(4): H1935 - H1941.
[Abstract] [Full Text] [PDF]


Home page
CirculationHome page
M. P. Nash, A. Mourad, R. H. Clayton, P. M. Sutton, C. P. Bradley, M. Hayward, D. J. Paterson, and P. Taggart
Evidence for Multiple Mechanisms in Human Ventricular Fibrillation
Circulation, August 8, 2006; 114(6): 536 - 542.
[Abstract] [Full Text] [PDF]


Home page
J Am Coll CardiolHome page
J. P. Daubert, W. Zareba, W. J. Hall, C. Schuger, A. Corsello, A. R. Leon, M. L. Andrews, S. McNitt, D. T. Huang, A. J. Moss, et al.
Predictive Value of Ventricular Arrhythmia Inducibility for Subsequent Ventricular Tachycardia or Ventricular Fibrillation in Multicenter Automatic Defibrillator Implantation Trial (MADIT) II Patients
J. Am. Coll. Cardiol., January 3, 2006; 47(1): 98 - 107.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Heart Circ. Physiol.Home page
Z. Qu and J. N. Weiss
Effects of Na+ and K+ channel blockade on vulnerability to and termination of fibrillation in simulated normal cardiac tissue
Am J Physiol Heart Circ Physiol, October 1, 2005; 289(4): H1692 - H1701.
[Abstract] [Full Text] [PDF]


Home page
CirculationHome page
T. H. Everett IV, E. E. Wilson, S. Foreman, and J. E. Olgin
Mechanisms of Ventricular Fibrillation in Canine Models of Congestive Heart Failure and Ischemia Assessed by In Vivo Noncontact Mapping