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Europace Advance Access published online on August 29, 2008

Europace, doi:10.1093/europace/eun248
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Published on behalf of the European Society of Cardiology. All rights reserved. © The Author 2008. For permissions please email: journals.permissions@oxfordjournals.org

Role of subendocardial Purkinje network in triggering torsade de pointes arrhythmia in experimental long QT syndrome

E. Ben Caref1,2, Mohamed Boutjdir1,2, Herman D. Himel1,2 and Nabil El-Sherif1,2,*

1 Downstate Medical Center, State University of New York, Brooklyn, NY, USA; 2 VA New York Harbor Healthcare System, 800 Poly Place, Brooklyn, NY 11209, USA

Manuscript submitted 7 May 2008. Accepted after revision 12 August 2008.

* Corresponding author. Tel: +1 718 630 3740; Fax: +1 212 570 9714. E-mail address: nelsherif{at}aol.com


    Abstract
 Top
 Abstract
 Introduction
 Methods
 Results
 Discussion
 Conclusions
 Funding
 References
 
Aims: The present study addresses the controversy regarding the ‘primary’ role of the subendocardial Purkinje network in triggering torsade de pointes (TdP) ventricular tachyarrhythmia (VAs) in the long QT syndrome (LQTS).

Methods and results: We investigated the well-established canine anthopleurin-A (AP-A) surrogate model of LQT3 to study the role of the subendocardial Purkinje network in triggering VAs. Three-dimensional activation and repolarization patterns were analysed from unipolar extracellular electrograms utilizing 64 plunge needle electrodes. In 6 dogs, the animals were placed on cardiopulmonary bypass and chemical ablation of the endocardial Purkinje network was obtained using Lugol's solution. Spontaneous VAs consistently developed in response to AP-A infusion and were triggered by a subendocardial focal activity acting on a substrate of spatial three-dimensional dispersion of repolarization. Endocardial ablation was considered successful by the development of complete atrioventricular block in the absence of ventricular escape rhythm. Following endocardial ablation spontaneous VAs were no longer observed. However, an appropriately coupled premature stimulus consistently induced re-entrant VAs.

Conclusion: The present study strongly suggests that in the LQTS, focal activity generated in subendocardial Purkinje tissue is the primary, if not the only, trigger for TdP VAs by acting on a substrate of three-dimensional dispersion of myocardial repolarization to induce re-entrant excitation.

Key Words: Arrhythmias, Long QT syndrome, Mapping, Repolarization, Early afterdepolarizations, Re-entry, Ablation


    Introduction
 Top
 Abstract
 Introduction
 Methods
 Results
 Discussion
 Conclusions
 Funding
 References
 
Both congenital and acquired long QT syndrome (LQTS) are caused by abnormalities (intrinsic, acquired, or both) of the various ionic currents underlying ventricular repolarization.1Go Prolongation of repolarization is a key priming step for the generation of early afterdepolarizations (EADs). Prolonged repolarization is also associated with increased dispersion of myocardial repolarization. The focal EAD-triggered wavefront can infringe on the underlying substrate of inhomogeneous repolarization to initiate re-entrant excitation in the form of rotating scrolls.2Go

The exact role that EADs play in the torsade de pointes (TdP) tachyarrhythmia has been controversial. One view contends that EADs generated primarily in the Purkinje network provided the first one or ‘few’ triggering beats of TdP, whereas the rest of the tachyarrhythmia is because of re-entrant excitation.2Go Another view suggests that TdP is sustained by repetitive rapid firing of EADs from several foci.3Go,4Go Further, some authors maintain that EADs could arise from both Purkinje and myocardial fibres in vivo.5Go

The present study was planned to address the role of the Purkinje network in triggering TdP arrhythmia. The study utilized the original canine anthopleurin-A (AP-A) surrogate model of LQT3 and investigated the effects of chemical ablation of the endocardium on the arrhythmia and the three-dimensional dispersion of repolarization.


    Methods
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 Abstract
 Introduction
 Methods
 Results
 Discussion
 Conclusions
 Funding
 References
 
Experimental model
The investigation conformed with the Guide for the Care and Use of Laboratory Animals published by the US National Institutes of Health (NIH Publication NO. 85-23, revised 1996). The surrogate canine experimental model of LQT3 utilized the neurotoxin AP-A that delays Na-channel inactivation and results in marked prolongation of action potential duration of both Purkinje and myocardial fibres.1Go,6Go The experimental model was described several years before the first description of the clinical congenital LQT3 syndrome.7Go The Na channelopathy of the congenital disease8Go is almost identical to that of the acquired experimental model.9Go

Surgical preparation
The present study was approved by the Animal Studies Subcommittee of the local institutional review board and conformed to the guiding principles of the Declaration of Helsinki. Experiments were performed on nine purpose-bred mongrel puppies 10–12 weeks old and weighing 3.5–5.0 kg. Puppies were pre-anesthetized with sodium thiopental (17.5 mg/kg IV) via the cephalic vein. Puppies were then intubated and anesthetized with 1.0–2.0% isoflurane (vaporized in 100% O2) via a positive ventilation anaesthesia machine (F500; The Forreger Co.). Catheters were inserted into the femoral vein for administration of fluids and drugs and into the femoral artery to monitor the blood pressure. ECG leads I, aVF, and V1 and blood pressure (Statham transducer; Gould) were continuously monitored with a physiological recorder (VR12; PPG Industries). The heart was exposed through a midsternotomy.

Endocardial ablation
After systemic heparinization, the azygos vein was ligated and both venae cavae were cannulated individually for cardiopulmonary bypass. The femoral artery was cannulated for arterial perfusion. The animals were placed on total cardiopulmonary bypass, and the right and left ventricles were vented for decompression (Figure 1). A sanguinous priming solution and a Shiley Model 100-A bubble oxygenator were used. The animals were perfused at flow rates of 2.0–2.5 L/min/m2 and mean aortic pressure was maintained at 70–100 mmHg throughout the study.


Figure 1
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Figure 1 Experimental preparation. See text for details.

 
The animals were divided into two groups. In six dogs, the endocardial surfaces of both ventricles were painted with Lugol's solution through small ventriculotomies. The solution consisted of 5 g of organic iodine and 10 g of potassium iodide diluted in 100 mL of distilled water. In three dogs that served as the control group, the endocardial surfaces were painted with saline: the ventriculotomies were closed with continuous monofilament suture and the animals were allowed to recover for 20 min before resumption of data collection. Lugol's solution has an affinity for glycogen and has been demonstrated to stain and ablate both Purkinje fibres and endocardial tissue.10Go The technique results in a thin layer of cell necrosis confined to the endocardial surface that measures <0.5 mm in depth and consists of only a few cell layers.10Go

Active drug dosing
AP-A was administered as an intravenous bolus of 25 µg/kg followed by a maintenance dose of 10 µg/kg per minute. Wild-type AP-A produced through a bacterial expression system was used in this study.

Data acquisition and isochronal mapping
Details of the mapping technique, calculation of activation–recovery intervals (ARIs), and construction of activation and repolarization isochronal maps have been previously reported.2Go Sixty-four plunge needle electrodes, each consisting of four to eight unipolar electrodes with 1 to 2 mm inter-electrode distance, were used for three-dimensional mapping of both ventricles. Right ventricle plunge needles usually had four to six electrodes spaced 1 mm apart. On the other hand, interventricular septum plunge needles had eight electrodes spaced 2 mm apart. Unipolar electrograms were acquired using 2- or 3-variable gain 128-channel multiplexed data acquisition systems (DSC2000, INET Corp.), allowing simultaneous recording of up to 384 channels. The timing of selected landmarks in each activation and recovery complex was automatically computed and stored for later analysis. At the end of the experiment, the exact position of the electrodes was identified as previously described.2Go

Stimulation protocol
Programmed ventricular stimulation was performed using a digital programmable stimulator (Medtronic 5325, Medtronic, Inc.) delivering square pulses (3 ms duration) through a bipolar plunge electrode placed in the right ventricle outflow tract.

Statistical analysis
Data were analysed using repeated-measures ANOVA and unpaired t-test (SYSTAT for Windows, version 5.0, SPSS Inc. Chicago, IL, USA), wherever necessary. P ≤ 0.05 was considered statistically significant.


    Results
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 Abstract
 Introduction
 Methods
 Results
 Discussion
 Conclusions
 Funding
 References
 
In all six dogs, complete endocardial ablation was considered successful by the development of complete atrioventricular block (AVB) in the absence of ventricular escape rhythm. Ventricular pacing was consistently maintained at a cycle length (CL) of 1000 ms. In all six experiments, one or more spontaneous polymorphic ventricular tachyarrhythmias (VAs) consistently developed in response to AP-A infusion prior to endocardial ablation. Consistent with previous observations,2Go activation maps revealed VAs to be due to a premature subendocardial focal activity acting on a substrate of spatial three-dimensional dispersion of repolarization (i.e. ARIs) to initiate re-entrant excitation. Following endocardial ablation no VAs was observed. This was in contrast to the three dogs that served as control where no spontaneous VAs developed before or after endocardial saline painting.

Table 1A shows the average overall dispersion of ARIs from 10 different needles across the LV wall in three control experiments before and after saline painting. Table 1B shows data from the six animals that undergone endocardial ablation. The average overall dispersion from 10 different needles across the LV wall is listed during control, following AP-A administration and after endocardial ablation. AP-A resulted in significant increase in three-dimensional dispersion of ARIs. On the other hand, endocardial ablation had no significant effect on ARIs across the ventricular wall.


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Table 1 Dispersion of activation–recovery intervals across left ventricle free wall at cycle length of 1000 ms

 
Figure 2 illustrates the results from one of the experiments following AP-A infusion. The figure illustrates eight unipolar electrograms recorded from one of the needles in the free LV wall. Figure 2A and B is consecutive and illustrate the spontaneous development of a short run (A) and a long run (B) of VA following AP-A infusion. The numbers in Figure 2B represent ARIs across the LV wall. All ARIs were markedly prolonged compared with control prior to AP-A administration (not shown). The longest ARIs were in mid myocardial wall and shortest in epicardial and sub-epicardial regions. The overall dispersion of ARIs across the LV wall was 80 ms. Of perhaps greater importance than the overall dispersion of ARIs across the wall was the marked difference of ARIs in two contiguous sites spaced 1 mm apart. For example, there was a 41 ms difference between myocardial sites #3 and #4. Figure 2C shows recording from the same needle following endocardial ablation and demonstrates the absence of any significant changes in the ARI following ablation.


Figure 2
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Figure 2 Recordings of eight unipolar transmural electrograms from one of the needles in the free LV wall from one of the experiments. Ventricular pacing was maintained at 1000 ms. (A) and (B) were obtained following AP-A infusion and illustrate a short run (A) and a long run (B) of ventricular tachyarrhythmia (VA). The numbers in (B) represent activation-recovery intervals (ARI) across the LV wall. Note the markedly prolonged ARIs with the longest ARIs in mid-ventricular sites. (C) shows recordings from the same needle following endocardial ablation and demonstrates the absence of any significant changes in ARIs following ablation. Spontaneous VAs were no longer observed.

 
Figure 3 from the same experiment illustrates the three-dimensional activation map of the initiating beat of the VA in Figure 2B. The initiating beat arose as a focal activity from an endocardial site and initiated re-entrant excitation. This is further illustrated by the recording in the left panel of Figure 3 showing selected electrograms along the re-entrant pathway.


Figure 3
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Figure 3 Right panel illustrates the three-dimensional activation map of the initiating beat of the ventricular tachyarrhythmia shown in Figure 2B. In this and subsequent figures, the isochrones were drawn as closed contour at 20-ms intervals and labelled as 1, 2, 3, and so on to make it easier to follow the activation pattern. Functional conduction block is represented in the maps by thick solid lines. The initiating beat arose as a focal activity from a sub-endocardial site and initiated re-entrant excitation. The left panel illustrates selective electrograms along the re-entrant pathway.

 
Following endocardial ablation, we investigated if VAs could still be induced by programmed premature ventricular stimulation. In all six experiments, programmed stimulation succeeded in inducing VAs. Three-dimensional mapping showed that the arrhythmias were the result of the premature stimulus acting on the AP-A-induced substrate of three-dimensional dispersion of repolarization to initiate re-entrant excitation.

Figure 4 from the same experiment shown in Figures 2 and 3 illustrates electrocardiographic recordings following endocardial ablation. Figure 4A illustrates control S1S1 ventricular pacing at CL of 1000 ms. An S2 stimulus was introduced at CL of 350 ms and failed to induce VAs. Note that following S2, there was complete AVB and no ventricular escape rhythm occurred prior to the resumption of ventricular pacing at the end of the recording. In Figure 4B, the S2 stimulus was introduced at a shorter CL of 340 ms and resulted in the induction of VAs.


Figure 4
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Figure 4 Recordings from the same experiment shown in Figures 2 and 3 that illustrate electrocardiographic tracings following endocardial ablation. Although spontaneous ventricular tachyarrhythmia (VA) did not occur following ablation, VA could be induced by a critically coupled premature stimulus, S2 (B) introduced during S1S1 ventricular pacing at CL of 1000 ms. Note that in (A) there is a complete AV block and no ventricular escape rhythm in the absence of ventricular stimulation at the end of the recording.

 
Figure 5 from the same experiment shown in Figures 24 illustrates the three-dimensional activation maps of the S2 beat in Figure 4B that initiated VAs. The S2 stimulus initiated the re-entrant excitation but the re-entrant pathway was different from that of the initiating beat of the spontaneous VAs shown in Figures 2B and 3. The recording in the left panel of Figure 5 illustrates selected electrograms along the re-entrant pathway of the S2 stimulus. The other five dogs that underwent endocardial ablation during AP-A infusion showed identical results to the example shown in Figures 25.


Figure 5
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Figure 5 Recordings from the same experiment shown in Figures 24. Right panel illustrates the three-dimensional activation map of the S2 stimulus that initiated ventricular tachyarrhythmia (VA) in Figure 4B. The S2 stimulus initiated re-entrant excitation and the re-entrant pathway was different from the pathway of the initiating beat of the spontaneous VAs shown in Figures 2B and 3: left panel illustrates selected electrograms along the re-entrant pathway of the S2 stimulus.

 

    Discussion
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 Abstract
 Introduction
 Methods
 Results
 Discussion
 Conclusions
 Funding
 References
 
There is a wide consensus that TdP is initiated by EADs. However, there is some controversy as to whether the tachyarrhythmia is sustained by repetitive rapid firing of EADs from several foci3Go,4Go or EADs account only for the initiation of the arrhythmia.2Go In the latter case, the tachyarrhythmia will be because of interaction of the EAD-triggered premature activation with an underlying substrate of dispersion of repolarization. The later mechanism was shown in simulation studies11Go and was documented in the canine LQT3 model utilizing three-dimensional mapping of activation.2Go

The original experimental study of the canine surrogate model of LQT3 has addressed this issue.6Go Utilizing a Purkinje-muscle preparation, it was shown that EADs arose from Purkinje fibre, and conducted to overlying myocardium with varying degrees of conduction delay through Purkinje-muscle junctions. In two more recent studies, the role of Purkinje network in TdP was investigated in experimental models of LQT-24Go and LQT-312Go by chemically ablating the endocardium. The two studies came to different conclusions. In one study, ablating the endocardium did not abolish the ‘spontaneous’ development of TdP.4Go In the other study, ablating the endocardium abolished the ‘spontaneous’ development of TdP, but the arrhythmia could still be induced by premature stimulation acting on a substrate of dispersion of repolarization to initiate re-entrant excitation.12Go The two studies utilized epicardial mapping of optical action potentials. Optical mapping techniques provide more direct and possibly more accurate data on evaluation of the spatial changes in cardiac repolarization compared with extracellular electrograms. However, because of its essentially two-dimensional recording nature, optical mapping is currently incapable of analysing three-dimensional properties of cardiac repolarization.13Go The different results could be attributed to the difference between experimental models of LQTS (i.e. LQT2 vs. LQT3) and/or to the adequacy of complete endocardial ablation.

The case for EADs as the trigger and dispersion of repolarization as the substrate for TdP also was made in an experimental model of LQT1.5Go Using an IKs blocker and isoproterenol, the authors demonstrated spontaneously induced TdP in the canine wedge preparation. Although a 1° cooling of the coronary perfusate eliminated all EADs and spontaneous extra-systolic activity, they showed the persistence of the substrate for TdP to induce the arrhythmia using a single S2 stimulus at a coupling interval similar to that of the spontaneous beat.

Some studies that used endocardial ablation have emphasized the role that Purkinje network plays in the genesis of VAs in general. Chemical ablation of the superficial endocardium by Lugol's solution resulted in a profound increase in the ventricular fibrillation threshold.10Go Ablation of the subendocardium with phenol resulted in the inability to induce ventricular fibrillation in the isolated heart.14Go In other studies, however, subendocardial ablation did not alter the vulnerability to VF.15Go

Theoretical and experimental arguments for genesis of ectopic activity: Purkinje vs. myocardium
Many arrhythmias are believed to be triggered by ectopic sources. However, the development of ectopic activity from individual sources to a larger mass of cardiac tissue remains poorly understood in spite of several theoretical and experimental studies.16Go–19Go In vivo activity can be tied to either triggered activity (early or delayed afterdepolarizations) or abnormal automaticity under β-adrenergic stimulation, ischaemic conditions, and calcium overload.20Go There is evidence to suggest that ectopic activity is more easily generated in Purkinje rather than myocardial fibres. Although Purkinje tissue may overlie ventricular muscle throughout large regions of the ventricles, electrical connections between Purkinje and ventricular cells exist only in restricted regions of Purkinje-muscle junctions.21Go The margin of safety for anterograde conduction at the Purkinje-muscle junction is low and differential conduction delays at two different junctions and/or anterograde block at one junction may create the necessary conditions for a one-dimensional ring-like circuit.22Go,23Go

The relative ease by which focal activity initiated at the Purkinje network could conduct to capture myocardium is contrasted with the difficulty of the induction and propagation of focal activity in myocardium. A major problem in considering a myocardial focus as the genesis of TdP arrhythmia is that while the presence of a coupling conductance between the automatic focus and the surrounding cells is necessary for propagation out of the focus region, this coupling conductance may also suppress the activity of the focus region by electrotonic interactions during the diastolic depolarization phase of the focus cells.19Go This loading effect depends on many factors including the size (number of cells) of the focus region, the intercellular coupling among the focus cells, the input resistance of the surrounding quiescent cells, and the value and spatial orientation of the coupling conductances among the surrounding cells.19Go Further, the inhomogeneity of the focus region both in terms of membrane properties as well as the distribution of cellular coupling may play an important part.17Go

Limitations
Although it is quite likely that the initiating beats of TdP, characterized in the present mapping technique as subendocardial in origin, were generated from the Purkinje network there was no actual recordings from Purkinje. Because the initiating beat of TdP could arise from anywhere within the Purkinje network, it would be very difficult to consistently record Purkinje potential preceding such beats even with a high-resolution mapping system. Also, because Logol's solution could ablate both Purkinje fibres and endocardial tissue10Go we cannot role out the contribution of endocardial cardiomyocyte. On the other hand, the study does not exclude the possibility that successive EADs from multiple Purkinje foci may be both the initiators as well as the perpetuators of TdP. In a previous report from this laboratory, this mechanism was considered unlikely based on both theoretical and experimental data.23Go Although it is customary for rapid succession of EADs to be generated from phase 2/early phase 3 of action potentials in isolated Purkinje strands subsequent to manipulations that prolong AP duration, the situation is different in the in vivo heart. EADs induced in Purkinje fibres in the LQTS are bradycardia-dependent. The initiation of TdP arrhythmia is implicitly associated with shortening of successive cardiac cycle lengths that should mitigate against the induction of further EADs unless some Purkinje foci have entrance block but no exit block. This situation is probably conceivable only for one or very few subsequent beats.24Go Although this was occasionally demonstrated in mapping studies of this model,24Go in the majority of TdP only the first beat was of subendocardial origin, whereas successive beats were the result of re-entrant excitation.2Go


    Conclusions
 Top
 Abstract
 Introduction
 Methods
 Results
 Discussion
 Conclusions
 Funding
 References
 
The present study strongly suggests that in the LQTS, the focal activity generated in subendocardial Purkinje tissue is the primary, if not the only, trigger for TdP by acting on an underlying substrate of three-dimensional dispersion of myocardial repolarization to induce re-entrant excitation. This mechanism is further documented by the ability to induce re-entrant excitation by an appropriately coupled premature stimulus following complete ablation of endocardium.


    Funding
 Top
 Abstract
 Introduction
 Methods
 Results
 Discussion
 Conclusions
 Funding
 References
 
The study was funded by MERIT and REAP grants to N.E.-S., from the Veterans Administration Central Research Department, Washington, USA.

Conflict of interest: none declared.


    References
 Top
 Abstract
 Introduction
 Methods
 Results
 Discussion
 Conclusions
 Funding
 References
 
[1] El-Sherif N, Turitto G. The long QT syndrome and torsade de pointes. Pacing Clin Electrophysiol (1999) 22:91–109.[CrossRef][Medline]

[2] El-Sherif N, Caref EB, Yin H, Restivo M. The electrophysiological mechanism of ventricular tachyarrhythmias in the long QT syndrome: tridimensional mapping of activation and recovery patterns. Circulation Res (1996) 79:474–92.[Abstract/Free Full Text]

[3] Asano Y, Davidenko JM, Baxter WT, Gary RA, Jalife J. Optical mapping of drug-induced polymorphic arrhythmias and torsade de pointes in the isolated rabbit heart. J Am Coll Cardiol (1997) 29:831–42.[Abstract]

[4] Choi BR, Burton F, Salama G. Cytosolic Ca2+ triggers early afterdepolarization and torsade de pointes in rabbit hearts with type 2 long QT syndrome. J Physiol (2002) 543:615–31.[Abstract/Free Full Text]

[5] Antzelevitch C, Shimizu W. Cellular mechanisms underlying the long QT syndrome. Curr Opin Cardiol (2002) 17:43–51.[CrossRef][Web of Science][Medline]

[6] El-Sherif N, Zeiler RH, Craelius W, Gough WB, Henkin R. QTU prolongation and polymorphic ventricular tachyarrhythmias due to bradycardia-dependent early afterdepolarizations. Circulation Res (1988) 63:286–305.[Abstract/Free Full Text]

[7] Wang O, Shen J, Splawski I, Atkinson D, Li Z, Robinson JL, et al. SCN5A mutations associated with an inherited cardiac arrhythmia, long QT syndrome. Cell (1995) 80:805–11.[CrossRef][Web of Science][Medline]

[8] Bennett PB, Yazawa K, Makita N, George AL Jr. Molecular mechanism for an inherited cardiac arrhythmia. Nature (1995) 376:683–5.[CrossRef][Web of Science][Medline]

[9] El-Sherif N, Fozzard HA, Hanck DA. Dose-dependent modulation of the cardiac sodium channel by the sea anemone toxin ATXII. Circulation Res (1992) 70:285–301.[Abstract/Free Full Text]

[10] Damiano RJ, Smith PK, Tripp HF Jr, Asano T, Small KW, Lowe JE, et al. The effect of chemical ablation of the endocardium on ventricular fibrillation threshold. Circulation (1986) 74:645–52.[Abstract/Free Full Text]

[11] Abildskov JA, Lux RL. Simulated torsade de pointes. The role of conduction defects and mechanism of QRS rotation. J Electrocardiol (2000) 33:55–64.[CrossRef][Web of Science][Medline]

[12] Restivo M, Caref EB, Kozhevnikov DO, El-Sherif N. Spatial dispersion of repolarization is a key factor in the arrhythmogenecity of long QT syndrome. J Cardiovasc Electrophysiol (2004) 15:1–9.[CrossRef]

[13] El-Sherif N. The challenge of cardiac tridimensional mapping. Heart Rhythm (2007) 4:1437–40.[CrossRef][Web of Science][Medline]

[14] Janse MJ, Wilms-Schopman F, Wilensky RJ, Tranum-Jensen J. Role of the sub-endocardium in arrhythmogenesis during acute ischemia. In: Cardiac Electrophysiology and Arrhythmias.—Zipes DP, Jalife J, eds. (1985) New York: Grune & Stratton. 353–62.

[15] Chen PS, Wolf PL, Cha YM, Peters BB, Topham SL. Effects of subendocardial ablation on anodal supernormal excitation and ventricular vulnerability in open-chest dogs. Circulation (1993) 87:216–29.[Abstract/Free Full Text]

[16] Joyner RW, Wang YG, Wilders R, Golod DA, Wagner MB, Kumar R, et al. Spontaneously active focus drives a model atrial sheet more easily than a model ventricular sheet. Am J Physiol Heart Circ Physiol (2000) 279:H752–H763.[Abstract/Free Full Text]

[17] Pumir A, Arutunyan A, Krinsky V, Sarvazyan N. Genesis of ectopic waves: role of coupling, automaticity, and heterogeneity. Biophys J (2005) 89:2332–49.[CrossRef][Web of Science][Medline]

[18] Benson AP, Halley G, Li P, Tong C, Holden AV. Virtual cell and tissue dynamics of ectopic activation of the ventricles. Chaos (2007) 17:015105.[CrossRef][Medline]

[19] Joyner RW, Wilders R, Wagner MB. Propagation of pacemaker activity. Med Bio Eng Comput (2007) 45:177–87.[CrossRef]

[20] Carmeliet E. Cardiac ionic currents and acute ischemia: from channels to arrhythmias. Physiol Rev (1999) 79:917–1017.[Abstract/Free Full Text]

[21] Mendez C, Mueller WJ, Urguiaga X. Propagation of impulses across the Purkinje fiber–muscle junctions in the dog heart. Circulation Res (1970) 26:135–50.[Abstract/Free Full Text]

[22] Gilmour RF Jr, Evans JJ, Zipes DP. Purkinje fiber–muscle coupling and endocardial response to hyperkalemia, hypoxia and acidosis. Am J Physiol (1984) 247:H303–H311.[Web of Science][Medline]

[23] Gilmour RF Jr, Watanabe M. Dynamics of circus movement re-entry across canine, Purkinje-muscle junctions. J Physiol (1994) 476:473–85.[Abstract/Free Full Text]

[24] El-Sherif N. Mechanism of ventricular arrhythmias in the long QT syndrome: on hermeneutics. J Cardiovasc Electrophysiol (2001) 12:973–6.[CrossRef][Web of Science][Medline]


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