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Original Contributions |
From the Division of Cardiology, Department of Medicine, Cedars-Sinai Medical Center (T.-J.W., M.Y., C.A.A., Y.-H.K., H.S.K., P.-S.C.) and the Division of Cardiology, Departments of Medicine (F.X., Z.Q., A.G., J.N.W.) and Pathology (M.C.F.), University of California at Los Angeles School of Medicine, Los Angeles, Calif. Dr Wu's current address is Veterans General Hospital, Taichung, Taiwan.
Correspondence to Peng-Sheng Chen, MD, Division of Cardiology, Room 5342, Cedars-Sinai Medical Center, 8700 Beverly Blvd, Los Angeles, CA 90048. E-mail chenp{at}csmc.edu
| Abstract |
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Key Words: pectinate muscle bundle reentry anchoring atrial arrhythmia source-sink relationship
| Introduction |
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| Materials and Methods |
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A bipolar electrode with interpolar distance of 0.5 mm was used to record bipolar electrograms from the epicardium to document tissue response to pacing and premature stimulus. A pseudo-ECG was also registered with widely spaced bipoles, 1 at each end of the tissue preparation. The data were acquired by AXON TL-1 to 40 A/D acquisition hardware and Axoclamp-2A software (Axon Instrument Inc) and were digitized at 1 kHz with 12 bits of accuracy.
Study Protocol
A bipolar stimulating electrode was placed at either the left
edge or the bottom of the epicardial surface to deliver baseline pacing
(S1) with twice diastolic threshold
current at cycle lengths of 300 ms. The refractory period at these
sites was determined by the extrastimulus method with twice
diastolic threshold currents.12
Another pair of epicardial stimulation electrodes was placed 1.5 cm
away from the S1 site to give premature
stimulation (S2) to induce reentry (Figure 1B
).
The initial strength of S2 was 5 mA. If
repetitive activations were not induced, the strength of
S2 was increased at 5-mA steps until the
induction of reentry or until 20 mA was reached. If the
arrhythmia was not induced at baseline, 1 to 2.5 µmol/L
acetylcholine (ACh) was added to the perfusate, and the same
induction protocol was repeated. Once reentry was induced, endocardial
mapping was performed. The data were then displayed on a computer
screen. If the activation pattern was compatible with reentry using a
PM bridge as part of the reentrant circuit, the bridge was transected
with a blade to test whether the reentry was still inducible. In the
present study, 3 tissues were tested by transection.
Data Analysis
The method for selecting the time of activation has been
reported in detail previously.13 Briefly, the
time of activation was taken at the time of the greatest slope (dV/dt)
for each electrogram. The maximal dV/dt in the window of data
analysis was first selected by the computer. The investigators
had the option of choosing a threshold dV/dt value (a percentage of the
maximal dV/dt) and a threshold interval (in milliseconds). The computer
selected a time as the local activation if the dV/dt at that time
exceeded the threshold value and if the interval between that time and
the time of previous activation exceeded the threshold interval.
Because each channel has a different signal to noise ratio, the
threshold values selected varied from channel to channel at the
investigator's discretion. All electrograms were then manually edited.
Once the times of activation were determined, they were displayed
dynamically on the computer.12 13 The patterns of
activation were then studied. The activation times were also used to
construct conventional isochronal activation maps.
Definitions
A reentrant wave front was defined as a wave front that
propagated around a central area (core) and reentered the site of
origin. The location of the core was identified by dynamic display as
the area encircled by the path of the tip of the reentrant wave
front.12 13 The tip of the reentry was defined as
the innermost edge of the reentrant wave front.12
If the tip was found to grossly deviate from its initial wave tip path,
ie, by more than 1 interelectrode distance (1.6 mm) for greater
than roughly 75% of its path, this reentrant wave front was considered
to be nonstationary. Otherwise, it was considered stationary.
When the PM bundle was tightly attached to the atrial wall, we defined this structure as "ridge-like" structure. In contrast, the "bridge-like" structure defined a PM bundle that separated from the underlying atrial tissues (see below).
Histological Examination and Anatomic
Correlation
At the conclusion of each study, the preparation was
photographed before removal from the tissue bath. The tissue was then
fixed in 10% neutral buffered formalin and processed routinely. The
areas of slow conduction, conduction block, and the core of the
reentrant wave front were correlated with anatomic macroscopic and
histological findings. Cross sections were performed
from the epicardium to endocardium. The cross sections were stained
with hematoxylin-eosin to determine tissue thickness, myocardial fiber
orientation, and the presence, if any, of tissue abnormalities. The
atrial wall thickness was measured both at the PM and at the adjacent
atrial free wall using an MCID image analyses system (Imaging
Research Inc).
Computer Simulation Studies
We performed computer simulation studies to investigate the
effect of ridges, simulating PMs, on the formation of reentry. We chose
as our cell model the Luo-Rudy I model,14 which
we modified by (1) lowering the maximum Ca2+
conductance from 0.09 to 0.05 mS/cm2 to make the
spiral waves meander chaotically rather than break up, in accordance
with our observations in this type of tissue, and (2) increasing the
maximum conductance of the time-dependent K+
current from 0.282 to 0.705 mS/cm2 to shorten the
single-cell action potential duration to mimic the effect of ACh. Our
tissue model consisted of a grid of these cells, coupled resistively.
The size of the grid, mirroring the experimental preparations, was
190x160x4 cells, corresponding to a tissue patch whose dimensions
were 3.8x3.2x0.08 cm. To reflect tissue anisotropy, we set the
diffusion constants in the x and y directions to
be 0.0005 cm2/ms and in the z
direction to be 0.0025 cm2/ms. This yielded
physiologically accurate conduction values.
Numerical integration of the equations was by the forward Euler method,
using a space step equal to 0.02 cm in all directions and a
variable time step ranging from 0.01 to 0.1 ms.
Functional reentry, in the form of spiral waves, was induced in the tissue model by cross-field stimulation: first a normal wave was stimulated, then a premature wave was initiated perpendicular to the first wave. The tip of the spiral wave was traced to determine the presence of meander. A pseudo-ECG was calculated by subtracting the average voltage in a 12x12 patch of cells near the upper right corner of the tissue from the average voltage in a 12x12 patch of cells near the lower left corner of the tissue.7 A ridge was then created in the center of the tissue by increasing the tissue thickness in a 50x20 cell region. We simulated multiple values of ridge thickness: 2, 3, 4, 6, and 10 cells.
An additional simulation was performed to investigate the effect of a bridge resembling an unattached PM bundle on reentry formation. A bridge was created that connected 1 side of the atrial tissue with the other. The bridge was 2 mm (10 cells) in diameter and 2.4 cm (120 cells) in length. The conduction velocity in the bridge tissue was twice that of the rest of the tissue.15 Premature stimulation was performed to determine whether the bridge can serve as an integral part of the reentrant circuit.
Statistical Analysis
All statistical analyses were performed using
GB-Stat.16 Results were expressed as the
mean±SD. Student's t tests were used to compare the
differences between stationary and nonstationary reentry in life span
and cycle length. A value of P
0.05 is considered
significant.
| Results |
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Characteristics of Induced Reentrant Wave Fronts
At baseline (no ACh), only short runs of repetitive beats (<10
beats) could be induced in each tissue. During ACh perfusion (1
µmol/L in 3 tissues and 2.5 µmol/L in 7 tissues), the mean
refractory period at the S1 pacing site was
shortened from 117±17 to 66±19 ms (range, 40 to 100 ms), and a total
of 40 episodes of reentry were initiated. Reentry was induced with an
S2 at a mean
S1-S2 coupling interval of
78±20 ms and at a mean current of 6.3±3.2 mA. The mean current
threshold at S2 sites was 0.19±0.10 mA.
Stationary Reentry
In 28 of 40 episodes (70%), the reentrant wave front was
stationary. These reentrant wave fronts were induced either immediately
(within 200 ms) after the S2 stimuli (n=9) or
after an initial period (1460±1077 ms; range, 405 to 5475 ms) of
irregular activations (n=19). During the transition from the initial
irregular activations to stationary reentry, the electrogram morphology
converted from "fibrillation-like" to "flutter-like" activity.
Once stationary reentry was initiated, it became the source of
activation for the entire isolated atrial tissue. The mean number of
rotations (life span) was 102±151 (range, 10 to 540), and the mean
cycle length was 116±22 ms (range, 90 to 155 ms). As will be shown
below, 2 major patterns of activation were observed during stationary
reentry. In 20 episodes, the reentrant wave front had a "spiral
wave" appearance. In 8 episodes, it showed a wave front that
propagated along the PM bridge between its atrial insertion sites. The
wave front then spread from the insertion site in all directions to
activate the remaining portion of the tissue. In all episodes,
the PM bundles played an important role in reentry formation.
Initiation of Stationary Reentry: Role of PM Bundle
Figure 3
shows an example of
immediate initiation of stationary reentry (same tissue as in Figure 2
). In Figure 3A
, an endocardial breakthrough (asterisk) occurred in
the right lower part of the mapped area 180 ms after an
S2 stimulus. Figure 3B
shows that the wave front
spread out centrifugally with occurrence of conduction block at the
central part of the mapped region (white line, 11 mm long) but not
to the left of the white line, forming a wave break. The absence of
conduction block during regular S1 pacing (Figure 2A
) indicates the functional nature of the conduction block. Verified
anatomically, a large PM bundle with ridge-like structure (marked by 2
arrows in Figure 2D
, 3
.5 mm wide and 3.5 mm thick) was
present at the line of block. The PM bundle was tightly attached to
the atrial free wall in the center but became discontinuous with the
atrial free wall over the right end, forming bridge-like structures
(Figure 2D
, green and red probes). The wave front first propagated
around the line of block and initiated another wave front (solid
circle) via the bridge-like structures (Figure 3B
through 3D, and 3X).
The wave front then rotated around the ridge-like structure (Figure 3E
and 3F
) and traveled under these bridges (Figure 3G
and 3H
), completing
a clockwise reentrant circuit (Figure 3Y
). Part of the reentrant wave
front also propagated up through the bridges and emerged as a bystander
wave front over the right lower part of the mapped area (squares in
Figure 3H
and 3Y
). This bystander wave front may propagate toward the
central part of the tissue and invade the core of the reentry,
resulting in the separation of reentrant wave front from the PM ( shown
in Figure 7
). Figure 3I
shows the actual activations registered in
Figure 3A
through 3H. In Figure 3Z
, each letter on the map (a through
h) indicates the recording site of a corresponding channel in
Figure 3I
. The lower 3 channels at sites h, g, and f registered the
activations of the first 2 wave fronts propagating from the right lower
part of the mapped area (short arrows with asterisk and solid circle in
Figure 3I
). The wave fronts failed to travel across the area near site
e, leading to conduction block and the initiation of reentry (long
arrows in Figure 3I
).
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Figure 4
shows an example of initiation
of stationary reentry preceded by a period of irregular activations.
During the period of the transition, the rhythm and morphology of local
electrograms converted from "fibrillation-like" to
"flutter-like" activity. In Figure 4A
, multiple wave fronts (up to
6 waves) were observed during the initial period of irregular
activations induced by an S2 stimulus. Figure 4B
shows that an endocardial breakthrough (asterisk) occurred adjacent to
a large PM ridge (4.5 mm wide and 6.0 mm thick) 1665 ms after
the S2 stimulus. The breakthrough failed to
travel across the PM ridge and formed a line of block (11 mm long)
along it (Figure 4C
). The wave front then propagated around the line of
block and initiated reentry (Figure 4C
through 4G). Finally, the
reentrant wave front became the source of activation for the entire
tissue. Figure 4I
shows the actual activations during the period of the
transition, which converted from a rapid irregular rhythm with a
beat-to-beat variation in electrogram morphology (mean cycle length of
98±30 ms) to a slower regular rhythm with a constant electrogram
(cycle length of 130 ms).
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PM Bundle Serves as Anchoring Site for Reentrant Wave Front:
Ridge-Like Structure
As shown in Figures 3
and 4
, a total of 20 episodes of reentry in
7 tissues (2 to 5 per tissue) were initiated by conduction block along
large PM ridges. These reentrant wave fronts remained stationary and
rotated around these ridges as anchoring sites. Figure 5
(same episode as in Figure 3
) shows an
example of stationary reentry with a life span of 24 rotations. The
pathway of the tip of the reentrant wave front circled in a clockwise
direction (Figure 5A
through 5E) around the ridge-like structure
(marked by the rectangle) of a large PM bundle shown in Figure 2D
. The
reentrant wave front showed a "spiral wave" appearance (Figure 5F
).
Figure 5G
shows the location of channels around the ridge-like
structure, and Figure 5H
shows the actual electrograms registered by
these channels during stationary reentry. Compatible with the
electrograms located in the core of reentrant wave
front,10 13 these electrograms showed either
double potentials (arrows) or low-amplitude potentials (<0.4 mV,
asterisks). Note that when the reentrant wave front rotated around the
ridge, the conduction velocity was not uniform. Because of the presence
of small PMs that inserted into the upper border of this large PM
ridge, the conduction velocity from channels 239 to 244 was slow (13
cm/s). However, it became faster (47 cm/s) from channels 265 to 260.
During reentry with a stationary core, the pseudo-ECG recording
had the characteristics of a regular tachycardia with
amplitude alternans (Figure 5I
). These findings support the idea that a
PM bundle with ridge-like structure may act as an anchoring site for a
reentrant wave front. Histopathologic studies showed no evidence of
fibrosis or other abnormalities in the mapped tissues. The mean size of
PM ridges of 7 tissues that served as anchoring sites for reentry was
3.5±0.6 mm wide (range, 2.5 to 4.5 mm) and 3.8±1.4 mm
thick (range, 2.5 to 6.0 mm). The mean length of lines of block
along these ridges was 10.5±0.9 mm (range, 9.0 to 11.5 mm).
In contrast, the adjacent atrial free walls were thin (range, 0.4 to
1.2 mm).
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PM Bundle Serves as Part of Reentrant Circuit: Bridge-Like
Structure
In 3 tissues, stationary reentry used PM bundle as part of the
reentrant circuit (8 episodes, 2 to 3 per tissue). Figure 6
illustrates an example. Figure 6A
through 6C shows a wave front propagating from the left upper to the
right lower part of the mapped area along the PM structure. On arrival
at the end of the PM, its atrial insertion site, the activation spread
in all directions into the main body of the tissue (Figure 6D
and 6E
,
asterisks). The leading edge of the wave front then reentered the other
end of the PM, completing a reentrant circuit (Figure 6F
and 6G
). In
this episode, reentry was initiated immediately after the
S2 stimulus with a life span of 27 rotations.
Another 2 episodes of reentry with a similar activation pattern were
induced in the same tissue. Anatomic analysis verified that a
PM bundle with bridge-like structure corresponded to this activation
pattern. After the bridge-like structure was transected by a blade
(Figure 6I
), this form of reentry was no longer inducible. In Figure 6I
, each letter on the tissue (a through h) shows the position of a
corresponding channel in Figure 6J
. Figure 6J
shows the actual
activations of these reentrant wave fronts. In Figure 6K
, the
corresponding pseudo-ECG recording revealed a periodic
tachycardia. During reentry with a cycle length of 110 ms,
the conduction velocity of the wave front propagating along the PM
bridge (from sites a and b to c) was 75 cm/s. However, conduction delay
(1962 to 2015, 53 ms) was observed when the wave front propagated from
sites f to a. A similar pattern of activation and conduction delay was
found in an additional 2 tissues. These 2 PM bridges were also
transected with the elimination of the reentry. The mean diameter and
length of these 3 PM bridges were 3.0 mm, 18 mm; 2.5 mm,
15 mm; and 2.5 mm, 10 mm, respectively.
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Conversion From "Flutter-Like" to "Fibrillation-Like"
Activity due to Destabilization of Stationary Reentry
In 8 episodes, initially stationary reentry converted
spontaneously from "flutter-like" to "fibrillation-like"
activity. The stationary reentrant wave fronts were destabilized either
by interference with outside wave fronts (5 episodes) or by spontaneous
separation of waves from the anchoring sites (3 episodes). The mean
duration of the "fibrillation-like" activities was 2993±1608 ms
(range, 1280 to 6460 ms).
Figure 7
(same episode as in Figures 3
and 5
) illustrates an example of stationary reentry destabilized by
outside wave fronts. In Figure 7A
, a new wave front (asterisk) emerged
at the right lower edge of the mapped area, when the leading edge of
the reentrant wave front was in the left upper edge of the mapped area.
As displayed in Figure 3H
and 3Y
, the new wave front most likely
represented the activation from an adjacent bridge-like
structure. The wave front propagated toward the central part of the
tissue (Figure 7A
and 7B
) and invaded the core of the reentry (Figure 7C
). After core excitation, the stationary reentry was destabilized. In
Figure 7D
, an endocardial breakthrough (solid circle) occurred in the
lower part of the mapped area 25 ms later and started a period of
irregular activations. In Figure 7E
, multiple wave fronts (up to 4
waves) were observed during this period. In Figure 7F
, each letter on
the map (a through h) indicates the recording site of a
corresponding channel in Figure 7G
. Figure 7G
shows the actual
activations during the period of the transition. The lower 5 channels
are located around the core of the reentry (sites d through h). The
upper 3 channels registered the activations at the right side of the
mapped region (sites a through c). A wave front (arrow with asterisk)
propagating from right to left excited the cells near site d and
destabilized the reentrant wave fronts (arrows with squares). After
core excitation by an outside wave front, the local electrograms showed
the conversion from a regular rhythm with a similar electrogram
morphology to an irregular rhythm with a beat-to-beat variation in
electrogram morphology.
A second mechanism of destabilization of stationary reentry is the
spontaneous separation of reentrant wave fronts from the anchoring
sites. Figure 8
displays an example in
which the stationary reentry was anchored to a PM ridge (3.5 mm
wide and 2.5 mm thick). The line of block along it was 9 mm
long. Figure 8A
through 8D shows the reentrant wave front (the 33rd
cycle) rotating around the anchoring site. The wave front then
spontaneously detached from the anchoring site without evidence of
outside interference (Figure 8D
through 8F). Detachment converted the
regular to an irregular rhythm with a beat-to-beat variation in
electrogram morphology. Figure 8I
and 8J
, respectively, shows the
actual activations during stationary reentry and immediately before the
detachment. Note that oscillation of the cycle length of
reentry with a maximal difference of 25 ms occurred before the
spontaneous separation (Figure 8J
). Cycle length
oscillation was also demonstrated in the other 2 episodes
of spontaneous separation. In all 3 episodes, the sites of separation
were located at the ends of the PM ridges. When the wave front was
making an acute turn (Figure 8G
) and when the cycle length became short
(from 110 to 85 ms in Figure 8J
), spontaneous separation occurred.
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Nonstationary Reentry
In the remaining 12 episodes (12/40, 30%), the central core of
the reentrant wave front drifted while reentrant excitation continued.
The mean cycle length was 68±11 ms (range, 55 to 90 ms). Nonstationary
reentry was observed during the period of irregular activations after
an S2 stimulus. Figure 9
shows an example. Figure 9A
through 9G
shows a reentrant wave front with counterclockwise rotation and a
drifting central core. Figure 9H
shows the trajectory of the tip of the
reentrant wave front. The drift of the core toward the left lower edge
of the mapped region was apparent. As demonstrated
previously,10 13 the electrograms located in the
core registered low-amplitude potentials that varied from beat to beat,
alternating between double potentials, electrical quiescence, and
high-amplitude potentials (Figure 9I
). These variations were caused by
the drift of the core. During reentry with a drifting central core, the
simultaneous pseudo-ECG recording revealed
"fibrillation-like" activity (Figure 9J
). In the same tissue, a
clockwise reentrant wave front with a cycle length of 120 ms stabilized
around a large PM ridge (2.5 mm wide and 3.0 mm thick) during
a different episode. This finding suggests that the stability of the
reentry may also be determined by the opportunity to anchor to a large
PM.
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As shown in Figure 9K
, nonstationary reentry always occurred over an
area (<2.0 mm in thickness) without large PMs. Because reentry
was terminated either by interference with outside wave fronts (7
episodes)10 or by the drift of the core toward
the tissue border (5 episodes),17 the life span
of nonstationary reentry was short. The mean life span of reentry was
3.8±1.1 rotations (range, 3 to 6) before termination. We found a
similar pattern of nonstationary reentry in 5 tissues.
Compared with stationary reentry, the mean cycle length of nonstationary reentry (68±11 ms) was significantly shorter (P<0.001). The mean life span (3.8±1.1 rotations) was also much shorter (P<0.001). To control the effects of ACh on the cycle length of reentry, we compared the episodes of stationary (n=16) and nonstationary (n=12) reentry obtained from the same tissues (n=5) with same concentration of ACh. The mean cycle length of nonstationary reentry (68±11 ms) was also significantly shorter than that of stationary reentry (120±26 ms) (P<0.001).
Computer Simulation Studies
In computer simulations, reentrant wave fronts resembling spiral
waves of excitation could be easily induced with cross-field
stimulation (panel I in Figure 10
). The
spiral wave, however, was unstable and meandered toward the boundary,
resulting in termination (H in panel I). The pseudo-ECG shows
irregularly irregular "fibrillation-like" activity.
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When a ridge-like structure was added to the preparation, the spiral
wave could anchor to the structure depending on the thickness of the
ridge. Panel II in Figure 10
shows the failure to anchor a chaotically
meandering spiral wave when the ridge was 3 computational cells thick.
The pseudo-ECG remains irregularly irregular. With a ridge of 4
computational cell layer thickness, reentry quickly anchored to the
ridge as shown in panel III in Figure 10
. The pseudo-ECG shows the
conversion from "fibrillation-like" activity to flutter.
When a bridge-like structure was added to the simulated tissue sheet,
stationary reentry could be induced. Panel IV in Figure 10
shows that
the bridge-like structure was used as part of the reentrant
circuit.
| Discussion |
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Wave Break and Source-Sink Mismatch Induced by PM Ridge
Gray et al15 reported that incomplete
reentry and epicardial breakthrough patterns are often observed during
atrial fibrillation in sheep hearts. These breakthrough patterns
resulted from reentrant excitation through the PMs with a bridge-like
structure. We observed the same phenomenon both in the tissue
preparation and in computer simulation studies. However, we also
observed that the PM ridge, which does not separate from the atrial
free wall, significantly modulates the pattern of the
arrhythmia. This represents a novel finding of our
study. We propose that in addition to serving as a bridge, the PM may
influence the safety factor of impulse propagation, resulting in wave
break and the formation of reentry.
The safety factor of impulse propagation in cardiac tissue depends on the relationship between source (amount of current available upstream) and sink (the structure that determines current density downstream).18 19 20 21 Because the PM ridge that serves as an anchoring site (range, 2.5 to 6 mm thick) is much thicker than the adjacent atrial free wall (range, 0.4 to 1.2 mm thick), there is a source-sink mismatch when the impulse propagates from the atrial free wall into the PM ridge. During regular pacing, the wave fronts are large and the action potential has a rapid upstroke and long duration, overcoming the source-sink mismatch and exciting the PM ridge. However, during premature stimulation or during irregular and fast atrial rhythms, the diastolic interval of atrial cell shortens, resulting in reduced upstroke velocity, amplitude, and duration of the action potential.19 These atrial wave fronts therefore carry less current (smaller source) than the wave fronts generated by regular pacing at a slow rate. These small wave fronts might be blocked by the PM ridge, leading to wave break and the formation of reentry. Compatible with this hypothesis, a wave break at the junction between the PM ridge and the atrial free wall appears to be a consistent finding at the initiation of intra-atrial reentry.
In addition to source-sink mismatch caused by uneven thickness of the atrial tissue, PM may also contribute to the formation of reentry by serving as an anisotropic barrier. In animal studies,22 23 24 it has been shown that PM bundle plays a role in anisotropic propagation. However, the anisotropic ratio of atrial conduction may vary according to the experimental condition. The anisotropic ratio obtained from an isolated canine atrial muscle bundle was more than 5.19 When measured from a preparation containing both the PM structures and the thin atrial free wall tissues, the ratio was much less (range, 1.0 to 1.6).15 Our results are compatible with the latter report. In humans, Spach and Dolber25 studied the anisotropic property of the PM bundle in patients aged between 1 and 65 years. They found that there is a progressive loss of side-to-side electrical coupling with age. This results in increased nonuniform anisotropy and facilitates the development of reentry. Therefore, PM also may serve as an anisotropic barrier to induce wave break and reentry. The importance of PM in atrial arrhythmogenesis may increase in older patients.
PM Ridge as Site of Anchoring
The PM ridge also serves a site for reentry to anchor. While there
are many PM ridges in the preparation, the anchoring occurred only at a
large PM. These findings suggest that the size of the PM is critically
important in determining whether reentry can anchor. This is
consistent with the computer simulation studies that
demonstrated that a critical thickness of the ridge (4-cell layer) was
needed for the spiral wave to anchor. Once reentry anchored to the PM,
the activation cycle length became more regular. However, its most
important effect was to prolong the life span of reentrant excitation,
sometimes up to hundreds of cycles without breaking. A second effect of
spiral anchoring was to convert "fibrillation-like" to
"flutter-like" activity, a sequence of events similar to that
reported in humans by Waldo and Cooper.4
During stable atrial flutter in the canine pericarditis model,5 a line of functional block with a mean length of 24±4 mm was localized on the right atrial free wall. When the previously stable line of block decreased to a mean of 16±3 mm, conversion to atrial fibrillation resulted. In our study, however, the mean length of the lines of block during "flutter-like" activity was estimated to be 10.5 mm. This discrepancy can be explained by the higher density of mapping electrode array used in the present study. Therefore, our results are not inconsistent with the observations made by others.5 Rather, our findings suggest the possibility that the transition from atrial fibrillation to atrial flutter in the in vivo canine study is associated with anchoring of the reentrant wave front to a large PM bundle.
While anchoring of the spiral wave resulted in regularization of the atrial activity from fibrillation to flutter, the spiral wave sometimes detached from the PM ridge because of outside interference or spontaneous separation, resulting in fibrillation. Cycle length oscillation26 was observed before the spontaneous separation of the spiral wave from the anchoring site. The separation occurred when the wave front was making an acute turn at the end of the PM ridge and when the cycle length oscillated to a short cycle. These findings imply that a small action potential (small source) arising from a premature activation may not have a source-sink ratio sufficient to complete the acute turn, leading to the spontaneous separation.
Relative Importance of Anatomic and Functional
Characteristics in Reentry Formation
This study emphasizes the importance of anatomic structure for the
formation of intra-atrial reentry. However, because ACh is required for
the induction of reentry, our results are also compatible with the
notion that functional characteristics of the tissue (primarily
shortening of refractoriness) are also important for reentry
formation.27 However, the anchoring of reentry to
PM is an important and previously unrecognized factor in determining
the characteristics of intra-atrial reentry. In the same tissue, the
cycle length of stationary reentry (anchored to PM) was much longer
than that of nonstationary reentry (not anchored to PM). This finding
indicates that longer cycle length of stationary reentry results from
the presence of a larger reentrant circuit (the involvement of PM). We
postulate that the shorter cycle length of atrial fibrillation compared
with atrial flutter may be due to the same mechanism.
The importance of anatomic structure is also demonstrated by computer simulation studies. Unlike the canine atrial tissues that had fixed sizes of the PMs, we were able to vary the thickness of the ridge in the computer simulation. Using this method, we demonstrated that increasing the thickness of the ridge without changing functional characteristics of the tissue was sufficient to allow the reentrant wave front to anchor, thereby converting fibrillation to flutter. This finding again supports the idea that anatomic structure is important in determining the characteristics of intra-atrial reentry.
Conduction Velocity During Stationary Reentry
Similar to the findings reported by Feld and
Shahandeh-Rad28 and Girouard et
al,29 nonuniform conduction velocity was observed
when reentry stabilized around a large PM bundle in all preparations.
As shown in Figure 5
, when the reentrant wave front propagated across
the fiber orientation, conduction velocity was slow (13 cm/s).
Similarly, in Figure 6
, conduction delay occurred when the wave front
propagated from the adjacent atrial free wall toward the PM bridge.
Tissue anisotropy, wave front curvature, and source-sink mismatch due
to uneven thickness of the atrial tissue all may play roles in the
variation of conduction velocity during reentry.
Study Limitations
There are several important limitations in the present study.
First, we used only a portion of the right atrium. Because the right
atrium was opened and laid out flat, connections present in vivo
were lost. Furthermore, the influences from the left atrium, septum,
and rest of the right atrium were also lost. The electrical activations
could be altered in vivo by the presence of electrical inputs from, and
interaction with, these other structures. Second, the theoretical model
used in this study may not accurately model the action potential
characteristics of the atrial cells. The Luo-Rudy model used in this
study14 was developed based on the action
potential characteristics of ventricular cells. The canine
atrial cells have different repolarization
currents30 31 from those of the
ventricular cells. In addition, the effects of ACh on
activation and repolarization were not included in the Luo-Rudy model.
In this study, we modeled the effects of ACh by increasing the
time-dependent K+ current, Ik. In fact, the
presence of ACh alters a specific K current,
IkACh. A mathematical formulation of
IkACh does not yet exist. Although
IkACh has a voltage and time dependence different
from Ik, we believe that this difference is not crucial for these
results. This article considers the effects of different anatomic
structures on the propagation of wave fronts. The presence of different
repolarizing currents will affect such factors as the size of the
obstacle necessary to anchor a wave and the degree of meander seen, as
well as membrane threshold and other cable properties. However, the
fundamental phenomena we are considering here, such as the occurrence
of anchoring and the support of reentry by a ridge-like or bridge-like
structure, are not likely to be affected by the differences in
repolarizing currents. We believe that these are generic phenomena that
occur in a wide variety of models. Even such simplified models as the
Fitzhugh-Nagumo equations, as used in Foster et
al,8 can qualitatively reproduce these
phenomena.
Even with this limitation, we found remarkable similarities between the
computer modeling and the experimental results. In computer simulation,
the minimum thickness of the ridge for successful anchoring was a 4+4
computational cell layer (including the thickness of the underlying
grid, 4 computational cell layer). In other words, the thickness ratio
between the ridge and the grid for anchoring was
2:1. When the ratio
was <2:1 (eg, 3+4 computational cell layer), the spiral wave failed to
anchor. In the atrial tissues, a ratio of >2:1 in thickness was also
observed between the PM ridges that served as anchoring sites and the
surrounding atrial free walls. Therefore, we propose that our computer
model provides gross supportive evidence for the mechanism by which
reentry anchored to PM.
Conclusions
We conclude that a large PM ridge provides a natural
substrate for the initiation of intra-atrial reentry (wave break) and
prolongs the life spans of reentrant wave fronts (anchoring). The
attachment and detachment of the spiral wave to and from the PM ridge
determine "flutter-like" or "fibrillation-like" activity,
respectively, in isolated canine atrial tissue.
| Acknowledgments |
|---|
Received January 14, 1998; accepted May 1, 1998.
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