(Circulation. 2000;102:1569.)
© 2000 American Heart Association, Inc.
Basic Science Reports |
From the Division of Cardiology (O.V., M.-H.L., T.O., G.A.F., H.-L.A.H., C.D.S., H.S.K., P.-S.C.), Department of Medicine, Cedars-Sinai Medical Center, and the Departments of Medicine (Cardiology), Physiology, and Physiological Science (Z.Q., A.G., J.N.W.), UCLA School of Medicine, Los Angeles, Calif, and the Department of Physics and Astronomy (S.-F.L.), Vanderbilt University, Nashville, Tenn.
Correspondence to Peng-Sheng Chen, MD, Room 5342, CSMC, 8700 Beverly Blvd, Los Angeles, CA 90048. E-mail CHENP{at}CSMC.EDU
| Abstract |
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Methods and ResultsWe studied 7 isolated perfused swine right ventricles in vitro. The action potential duration restitution curve was determined. Optical mapping techniques were used to determine the patterns of activation on the epicardium during 5-second 60-Hz AC stimulation (10 to 999 µA). AC captured the right ventricles at 100±65 µA, which is significantly lower than the direct current pacing threshold (0.77±0.45 mA, P<0.05). AC induced ventricular tachycardia or VF at 477±266 µA, when the stimulated responses to AC had (1) short activation CLs (128±14 ms), (2) short diastolic intervals (16±9 ms), and (3) short diastolic intervals associated with a steep action potential duration restitution curve. Optical mapping studies showed that during rapid ventricular stimulation by AC, a wave front might encounter the refractory tail of an earlier wave front, resulting in the formation of a wave break and VF. Computer simulations reproduced these results.
ConclusionsAC at strengths less than the regular pacing threshold can capture the ventricle at fast rates. Accidental AC leak to the ventricles could precipitate VF and sudden death if AC results in a fast ventricular rate coupled with a steep restitution curve and a nonuniform recovery of excitability of the myocardium.
Key Words: electrical stimulation electrophysiology mapping action potentials
| Introduction |
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| Methods |
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Recording Methods
The optical mapping system used in the present study was
similar to that reported previously by Lin et al.5 The RVs
were stained for 20 minutes with 1 to 2 µmol/L di-4-ANEPPS
(Molecular Probes, Inc) added to the Tyrodes solution. The dye was
then excited by using quasi-monochromatic light (500±30 nm) from a
stabilized 250-W tungsten-halogen lamp (Oriel Corp). The induced
fluorescence was collected through a 600-nm long-pass glass
filter (R60, Nikon) and a 25-mm/f-stop 0.85 video lens (Fujinon CF25L,
Fuji Photo Optical Co) with a 12-bit digital charge-coupled device
camera (CCD camera, Dalsa, Inc). The frame-to-frame sampling interval
was 3.75 ms. The camera acquires from 96x96 sites
simultaneously over a 35x35-mm2
area, resulting in a spatial resolution of 0.13
mm2 per pixel. To minimize tissue contraction
during pacing, 5 mmol/L diacetyl monoxime (DAM) was added to the
solution. TMPs were recorded from a surface cell by use of standard
glass capillary electrodes.7
Study Protocol
All hearts developed VF during excision, and the VF continued in
the excised RV.6 The RV was first cardioverted and paced
via a pair of closely spaced bipolar electrodes on the epicardium. All
pacing pulse widths were 5 ms. Direct current (DC) pacing threshold was
the lowest current strength that resulted in consistent
ventricular capture. The dynamic APD restitution
curve8 was determined by pacing the RV with the same pair
of bipolar electrodes at 400-ms pacing interval with use of twice
diastolic threshold current for 8 beats and then followed
immediately by 8 beats of pacing at 350-, 300-, 280-, 260-, 240-, 230-,
220-, 210-, 200-, 190-, 180-, 170-, and 150-ms cycle lengths (CLs). To
avoid confusion, we use the term pacing interval to denote the interval
between pacing stimuli. The term CL refers only to the interval between
consecutive cardiac activations, whether induced or spontaneous.
Induction of VT or VF was attempted by the following methods: (1) Rapid fixed-rate pacing is the method in which each pacing train included 19 beats, and there was an interval of at least 20 seconds between pacing trains. The pacing interval started at 300 ms and was progressively shortened to 200 ms in 20-ms decrements and thereafter in 10-ms decrements until VF was induced or 2:1 capture resulted. (2) AC stimulation is the method in which current output began at the root mean square of delivered AC at 10 µA and was increased in 10-µA increments up to a value of 200 µA and then in 50-µA increments to the maximum output of 999 µA. VF was defined by rapid irregular and sustained activations after cessation of pacing. VT was defined by regular activations that lasted >3 consecutive beats after the cessation of pacing.
By use of a CCD camera, the patterns of activation were recorded. During each pacing stimulus, TMP was also recorded at the same time. To correlate the times of TMP recordings with the patterns of activation, we used a programmable stimulator to send electrical signals simultaneously to the AXON acquisition system, to the AC stimulator, and to trigger a red LED light to shine at the edge of the mapped tissue. At the end of the last 4 experiments, the isolated RVs were incubated for 30 to 45 minutes in phosphate-buffered (pH 7.4) triphenyltetrazolium chloride9 (14 g/L) to determine tissue viability. Triphenyltetrazolium chloride, which stains viable tissue brick red, allows us to delineate the borders of viable tissue.
Computer Simulation Studies
Our mathematical model begins with the 2D cable
equation10 11 :
![]() |
x and
y are the
transverse and longitudinal resistivity, respectively. We set
Cm=1 µF/cm2,
Sv=2000 cm-1, and
x=
y=0.5 k
cm
(ignoring anisotropy). We use
Iion=INa+Isi+IK1+IKp+Ib,
where INa is the fast
Na+ current, Isi is
the slow inward current, IK is the
time-dependent K+ current,
IK1 is the time-independent K+
current, IKp is the plateau
K+ current, and Ib is the background
current, from the Luo-Rudy I (LR1) ventricular action
potential model.12 We simulated a 9 cmx9 cm tissue,
by use of a 600x600 grid, with "no-flux" boundary conditions:
![]() |
Inhomogeneity in the tissue was modeled according to the mapping
results of Laurita et al.3 We changed the maximum
K+ channel conductance throughout the tissue as
follows:
![]() |
K=0.282
mS/cm2 is the value in the LR1 model for
[K+]o=5.4 mmol/L. AC
stimulation was delivered over a 0.6-mm diameter area in the center of
the tissue by using a current defined by
Isti=
2I0 · sin(2
ft),
where I0 is the amplitude of the AC stimulus and
f=60 Hz. We used an advanced numerical method11 to integrate Equation 1. The adaptive time step varied from 0.01 to 0.2 ms. The space step was 0.015 cm. All simulations were carried out on a 433-MHz DEC Alpha workstation.
Data Analysis
The single-cell TMP was analyzed to determine the
diastolic interval (DI, the time between 90% of
repolarization of the preceding action potential to the phase 0 of the
current action potential) and the APD from phase 0% to 90%
repolarization (APD90).
APD90 was plotted against the preceding DI, and
the restitution curve was generated by exponential fit with the use of
ORIGIN (Microcal Software, Inc).
The data acquired by the optical mapping system was converted to pseudo
color animation for online analysis. In each recorded
frame, pixels were assigned red to yellow to represent
depolarization if the intensity was lower than the average intensity of
the whole sequence. Conversely, high-intensity pixels were assigned
blue to light blue to represent repolarization. To visualize
the direction of wave propagation and repolarization, we used the
following methods: The optical signal acquired by each pixel was first
averaged with 8 of its neighboring pixels. The operator then manually
selected a threshold above which a pixel was deemed to have registered
depolarization. Usually a threshold value of
50% of the optical
intensity was used. In a given frame, the isointensity lines were drawn
wherever adjacent pixels crossed the threshold intensity during
depolarization or repolarization. The depolarization wave fronts were
indicated by red isointensity lines; the repolarization wave backs were
indicated by blue isointensity lines. Using this method, we were able
to visualize the wave-front and wave-back interaction. The junction
between the red and blue lines is a wave break.
Data are expressed as mean±SD. Student t tests were used to compare the means of 2 groups of data. The Fisher exact test was used to compare the inducibility of VF by fixed-rate pacing and by AC. When there were >2 groups of data, ANOVA with Newman-Keuls post hoc analyses was performed. The Fisher exact test was used to compare the probability of inducing VF or VT by AC and by rapid ventricular pacing.
| Results |
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Induction of VT or VF
AC stimulation had a lower current threshold for
ventricular capture (100±65 µA) than did the DC pacing
threshold at the beginning of the experiment (P<0.05).
Increasing the AC current amplitude resulted in progressively shorter
ventricular activation CLs and eventually in the induction
of VF (Figure 1
). Alternans of CL and APD
also progressively increased at greater current strength. Six RVs had
both VF and VT induced, and 1 had only VT induced. Among the VF/VT
episodes, 20 had both TMP and optical mapping recordings. Only
these 20 episodes were included in the analyses for APD, CL,
and DI. The current strength associated with either VT or VF induction
was 477±266 µA. (If we consider only the induction of VF, then the
current strength must reach 529±280 µA.) The average AC-stimulated
CL and DI immediately before the onset of VT or VF were 128±14 and
16±9 ms, respectively. In comparison, fixed-rate rapid pacing induced
VT or VF in only 1 of the 7 RVs (P<0.005), with the
shortest activation CLs (180±47 ms) before 2:1 conduction block
occurred. In 4 RVs, DIs could be accurately analyzed during
rapid fixed-rate pacing. The shortest DIs achieved by rapid pacing were
29±13 ms (P=0.002 compared with AC). During dynamic APD
restitution curve determination, the shortest activation CL achieved
during pacing was 188±41 ms, and the shortest DI achieved was 43±18
ms (P<0.001 compared with AC). No VT or VF was induced.
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Slope of APD Restitution Curve and Induction of VT or VF
The slope of the APD restitution curve is an important factor that
determines the induction of VT or VF. Figure 2
shows a typical example from one RV.
The slope to the left of the dashed line was >1; the slope to the
right was <1. Note that in this RV, the shortest DIs associated with
rapid pacing (green triangles) were >51 ms and that none of these were
associated with the induction of either VT or VF. The red squares show
the AC induction of either VT or VF. Note that all VT or VF episodes
occurred to the left of the dashed line and that all episodes were
induced only by AC stimulation.
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The data presented in Figure 2
are typical for all 7 RVs
studied. In these 7 RVs, the induction of VT or VF was always
associated with DIs that fell in the steep (slope >1) portion of the
APD restitution curve. The maximum slope of the APD restitution curve
averaged 1.67±0.6 in all RVs studied. All RVs had a maximum APD
restitution slope of >1 at the shortest DI. The range of DIs over
which the slope was >1 averaged 20±11 ms.
Optical Mapping of Induction of VT or VF by AC Stimulation
The induction of VF or VT by AC was always associated with very
rapid ventricular stimulation and a very short DI, as
presented above. At very short DIs, wave fronts may run into
the wave back of a previous excitation, where the tissue is not fully
recovered, leading to conduction block. This head-to-tail interaction
results in wave break (Figure 3
). Figure
3A shows that AC stimulation resulted in rapid successive
ventricular captures. The first wave front is shown in
frame 113, and the second is shown in frame 162. Corresponding panels
in Figure 3B
show that the first activation wave front began to
recover in frame 153. However, before its recovery was complete, the
second wave front was initiated (red lines, frame 162). Because of the
short DI, the wave front of the second activation merged into the wave
back of the preceding activation (head-to-tail interaction).
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Frame 162 shows that the left lower portion of the mapped region was
slow in recovery (area surrounding by blue line). When the next wave
front arrived, this area of delayed repolarization resulted in
conduction block and the splitting of the incoming wave front
(yellow arrow in frame 170 of Figure 3B
).
Figure 3C
shows the optical signals recorded from sites 1 to
5, indicated in panels A and B. A first long downward arrow indicates
rapid propagation of the first wave front. The second downward arrow
indicates that the second wave front arrived before the full recovery
of the first wave front; ie, propagation overtook recovery. Therefore,
the wave front arrived when cells 1 to 5 had repolarized by 59%, 55%,
49%, 48%, and 43%, respectively. Conduction block occurred around
cell 4. The third (long downward) arrow shows that the sequence repeats
itself with the next AC-induced impulse, resulting in further
conduction block and the onset of VF. The horizontal double line
segments underlie the complex low amplitude electrograms associated
with the core of reentry. The complex activations were first registered
in cells 4 and 5, where the initial wave break occurred. The complex
activation then moved to cells 3, 2, and 1 as VF was induced.
Optical mapping data were available in 17 episodes of VF induction.
Among them, 16 episodes showed wave breaks within the mapped region, as
shown in Figure 3
. The first wave break occurred 3±1 beats
(344±102 ms) after AC first captured the ventricle. The mechanisms of
the wave break are compatible with the head-to-tail interaction, as
shown in Figure 3
.
Computer Simulation
To better understand the mechanisms by which AC stimulation
induces VF, we carried out computer modeling simulations. Because the
APD restitution slope has been strongly implicated in the genesis of
wave breakcausing VF,14 15 we compared 2 cases: one for
steep APD restitution (Figure 4A
)
and the other for shallow APD restitution (Figure 4B
). In each
case, AC strength was increased gradually. For small AC strength, no
action potentials were activated
(I0=5 µA in Figure 4A
c and 4Bc).
When the AC strength was increased to a critical value, activations
occurred periodically with long CLs. After discontinuing AC, no
spontaneous action potentials occurred, and the tissue was quiescent
(I0=6.8 µA in Figure 4A
c and 4Bc).
With further increases in the AC amplitude, the rhythm of the tissue
depended on APD restitution. With a steep APD restitution, activation
patterns became more and more complex, first with nonsustained VT and
later with sustained VF (Figure 4A
c and 4Ad). For example, for
I0=9 µA, irregular activation persisted
for several beats after AC and then stopped. For
I0=15 µA, the irregular activation
persisted; this occurrence was initially due to figure-8 reentry, which
then degenerated to multiple wavelets consistent with VF
(Figure 4A
d). These results are similar to the experimental
findings in Figure 1
. In contrast, if the APD restitution curve
was shallow, activation remained regular as AC strength was increased.
All electrical activity stopped immediately on discontinuation of AC
stimulation, even when I0 was increased to
20 µA (Figure 4B
c). The activation patterns for each beat
always showed a target wave (Figure 4B
d), with no wave break
occurring despite similar fixed
electrophysiological
heterogeneity in these 2 cases (Figure 4A
b and
4Bb).
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We also carried out simulations for conditions other than the 2 shown
in Figure 4
. Our major results can be summarized as follows: (1)
If there is no preexisting heterogeneity, no wave break
can be induced, even though the APD restitution curve is as steep as in
Figure 4A
a. (2) If the tissue is extremely
inhomogeneous, a wave break can be induced if the stimulus
site is located in the short APD area, even when APD restitution is as
shallow as in Figure 4B
a. (3) A wave break can be induced in
slightly heterogeneous tissue when APD restitution is steep
but not when APD restitution is shallow. Therefore,
heterogeneity is necessary for a wave break, but the
degree of heterogeneity required is highly sensitive to
APD restitution steepness.
| Discussion |
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Role of APD Restitution Steepness
Recently we16 studied the mechanisms of induction of
VF by rapid pacing. Computer simulations showed that the
maintenance of VF was dependent on the inhomogeneity induced by
steepness of APD and conduction velocity restitution. In the
present study, our computer simulations extend these earlier
findings by showing that the steepness of APD restitution is also
important in facilitating the initial wave break and reentry that lead
to VF. For the same degree of fixed
electrophysiological
heterogeneity (Figure 4A
a and 4Bb), no wave
break occurred with shallow APD restitution (Figure 4B
d). Steep
APD restitution is needed to induce VF (Figure 4A
d). This
finding suggests that steep APD restitution and fixed tissue
heterogeneity are synergistic in causing the initial
wave break and reentry that ultimately lead to VF. Steep APD
restitution plays an important role in the initiation of VF by AC
stimulation, as well as in VF maintenance.
Compatible with computer simulation studies, the present study
found that in swine RVs, AC results in fast ventricular
rate response and short DIs. The short DIs are associated with the
steep portion of the APD restitution curve (Figures 2
and
4). Only at critically short DIs was VF induced (Figure
2). These results are generally compatible with the restitution
hypothesis of VF, recently reviewed by our group.17
Nonuniform Recovery of Excitability
Han and Moe18 proposed that the nonuniform recovery
of excitability underlies the induction of VF by an electrical
stimulus. This hypothesis has been supported by many subsequent
studies. Gough et al,19 for example, found that there is a
relationship between dispersion of refractoriness and the induction of
reentry. Laurita et al2 and Pastore et al4
demonstrated a direct relationship between nonuniform recovery of
excitability and induction of reentry by premature stimuli or by rapid
pacing. In the present study, we extend these observations by
demonstrating the importance of nonuniform recovery of excitability in
the induction of wave break and VF in a 3D cardiac preparation.
According to the multiple wavelet hypothesis,20 formation
of new wavelets occurs through the process of wave break (or wave
splitting), in which a wavelet breaks into new (daughter) wavelets.
Wave break occurs at sites of
electrophysiological inhomogeneity, where
regions of refractoriness provide opportunities for reentry to form.
The present study and that by Laurita et al2 confirm
that epicardial cells are intrinsically heterogeneous in
their repolarization properties. This intrinsic
heterogeneity provides a substrate for reentry
formation during rapid pacing. When a portion of the incoming wave
front encounters refractory tissue while other portions continue to
propagate, wave break occurs.
Limitations of the Study
There are several important limitations of the present study.
One is that the optical mapping was limited to the surface. It is
likely that some wave breaks were not mapped by this technique. Another
limitation was that the results of the present study may not be
applicable to diseased myocardium. A third limitation is
that we did not extensively study all possible intrinsic spatial
differences that might have influenced the induction of VF by a 60-Hz
current.
A fourth limitation is related to the need to use DAM in the present study. DAM is known to flatten the APD restitution curve and may thereby inhibit the induction of VF.15 This effect might have decreased the probability of VF induction by rapid pacing. However, we had no difficulties in inducing VF with AC stimulation that shortened the DI sufficiently to engage in the steep portion of the APD restitution curve. The use of DAM might have magnified the difference between fixed-rate rapid pacing and AC stimulation and strengthened the conclusion that AC is more effective than fixed-rate pacing in the induction of VF.
| Acknowledgments |
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Received March 21, 2000; revision received May 3, 2000; accepted May 4, 2000.
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