Abstract

Aims

Recent clinical studies showed that antiarrhythmic drug (AAD) treatment and pulmonary vein isolation (PVI) synergistically reduce atrial fibrillation (AF) recurrences after initially successful ablation. Among newly developed atrial-selective AADs, inhibitors of the G-protein-gated acetylcholine-activated inward rectifier current (IKACh) were shown to effectively suppress AF in an experimental model but have not yet been evaluated clinically. We tested in silico whether inhibition of inward rectifier current or its combination with PVI reduces AF inducibility.

Methods and results

We simulated the effect of inward rectifier current blockade (IK blockade), PVI, and their combination on AF inducibility in a detailed three-dimensional model of the human atria with different degrees of fibrosis. IK blockade was simulated with a 30% reduction of its conductivity. Atrial fibrillation was initiated using incremental pacing applied at 20 different locations, in both atria. IK blockade effectively prevented AF induction in simulations without fibrosis as did PVI in simulations without fibrosis and with moderate fibrosis. Both interventions lost their efficacy in severe fibrosis. The combination of IK blockade and PVI prevented AF in simulations without fibrosis, with moderate fibrosis, and even with severe fibrosis. The combined therapy strongly decreased the number of fibrillation waves, due to a synergistic reduction of wavefront generation rate while the wavefront lifespan remained unchanged.

Conclusion

Newly developed blockers of atrial-specific inward rectifier currents, such as IKAch, might prevent AF occurrences and when combined with PVI effectively supress AF recurrences in human.

What’s new?
  • We simulated the efficacy of inward rectifier current blockade and its combination with PVI on prevention of AF initiation in different degrees of atrial fibrosis.

  • The combination of inward rectifier blockade with PVI synergistically reduced the likelihood of AF initiation in simulations with severe atrial fibrosis.

  • The inward rectifier current blockade adjunctive to PVI strongly reduced the number of fibrillation waves and new wavefront generation rate, while increasing the wave size, and thereby strongly prevented AF induction.

Introduction

Despite the development of pharmacological therapies for patients with atrial fibrillation (AF), a large proportion of AF patients are not arrhythmia-free.1 Pharmacological therapy is less effective in non-paroxysmal AF patients than in paroxysmal AF patients, indicating the significance of structural remodelling in the efficacy of pharmacological therapy. If the treatment with antiarrhythmic drugs (AAD) fails, patients receive catheter ablation (CA) as a second-line treatment.2 Catheter ablation is also associated with a rather disappointing long term outcome, as after 1 year AF reoccurs in up to 30% of patients after PVI, despite proven complete PV isolation supporting the presence of driver mechanisms of AF located outside the PV area.3,4

The recent EAST trial stresses the need for early and effective rhythm control strategies5 and combination of AADs with CA may be a strategy to achieve this. In a recent study, Duytschaever et al.6 demonstrated that continuing previously ineffective treatment with AAD after CA is associated with lower prevalence of atrial tachyarrhythmias after 1 year. However, the mechanisms underlying this synergistic inhibition of AF recurrences are not well understood. Also, current AADs have potential side effects such as ventricular pro-arrhythmia. For these reasons, atrial-selective AADs that do not affect ventricular conduction or repolarization have been developed. Examples are blockers of the ultra-rapid inward rectifier current (IKur), small-conductance Ca2+-activated K+-currents (SK), and the G-protein-gated acetylcholine-activated inward rectifier current (IKAch). A blocker of IKAch (XAF-1407) has recently been demonstrated to effectively suppress AF in an experimental equine model.7 Here, we tested whether inward rectifier current blockade reduces AF inducibility and whether the combination of inward rectifier blockade with PVI prevents AF recurrences in a computer model of human atria.

Methods

Computational model of atrial fibrillation

Computer simulations were performed on a highly detailed three-dimensional model of human atria.8 The model geometry was based on magnetic resonance imaging data of a subject with normal atria with manually added anatomical structures and properties such as three layers of fibre orientations, endocardial trabeculated network, Bachmann’s bundle, wall thickness heterogeneities, and left atrial appendage trabeculated network.8 Several studies have shown that these structures have an essential role in AF initiation and maintenance.9,10 The model consisted of ∼5 million nodes spaced at 200 µm.

Action potential propagation was simulated with a monodomain reaction-diffusion equation using the Courtemanche–Ramirez–Nattel atrial cell model.11 AF-induced changes in ionic currents were incorporated by setting the conductivities for Ito, ICa, L, and IK1 at 40%, 35%, and 200% of their normal values, respectively.12 Simulations were performed using the propag-5 software13 and run on a Cray XC50 supercomputer with GPU support.

Modelling of inward rectifier current blockade

The inward rectifier background current (IK1) and the G-protein-gated acetylcholine-activated inward rectifier current (IKAch) show identical current-voltage relationships and are, therefore, indistinguishable on the single cell level.14 Thus, both currents are adequately represented by one total inward rectifier conductance in computer models. For this reason, inhibition of IKAch was simulated by reduction of this total inward rectifier current. The conductance of the current was reduced by 30% resulting in a prolongation of the atrial action potential duration by ∼20 ms, which is in the range of experimental studies.15,16

Distribution of tissue fibrosis

The effect of structural remodelling was simulated by different degrees of fibrosis. The conditions without, with moderate, and with severe fibrosis were modelled by setting 0%, 50%, and 70% of the elements in the model as fibrotic, respectively. Fibrotic elements remained conductive along the fibre direction and isolated in the two transverse directions. This modelling of atrial tissue fibrosis agrees with the experimental study by Spach and Dolber17 that revealed loss of side-to-side electrical connections between atrial muscle bundles in fibrotic atrial tissue. The fibrosis was distributed within the subepicardial layer, while the atrial bundles remained intact. The spatial distribution of fibrosis was uneven, with patches or island presenting higher degree of fibrosis. Such distribution was based on spatially correlated, anatomy-tailored random fields.8,18

Modelling of pulmonary vein isolation

In PVI simulations, two antral circumferential lines isolated the PV from the atria. Virtual ablation lesions consisted of tissue volumes modelled by non-conductive elements.

Atrial fibrillation initiation in pre- and post-catheter ablations

Atrial fibrillation initiation likelihood was assessed by applying incremental pacing at 20 different locations in both atria and compared between the control (no inward rectifier current inhibition and no CA), inward rectifier current blockade (IK blockade), PVI, and IK blockade + PVI groups. Pacing locations were selected based on reported possible sources of extra-PV ectopic focal activity in AF patients, including the area between the PVs, left atrium, left atrial appendage, right atrial appendage, coronary sinus, superior caval vein, inferior caval vein, and right atrium.19 All pacing sites were located outside the ablated area. In each simulation, AF was initiated by applying incremental pacing with a duration of 2 s at a selected pacing site. In total, 14 stimuli were applied with the pacing cycle length gradually reducing from 280 to 124 ms. After the pacing period, the simulations were continued for another 3 s with no pacing.

Definition of successful atrial fibrillation initiation

The stimulation protocol outcome was analysed in terms of the type of self-sustained rhythm after 2 s of stimulation. If no activation after pacing was noted, the initiation was considered unsuccessful. Otherwise, a distinction between AF and atrial flutter (AFL) was made, with the latter not being considered as successful AF initiation. Atrial fibrillation and AFL conduction patterns were differentiated by analysing the reconstructed 12-lead ECGs, as described in detail in Supplementary material online.

Detection and tracking of fibrillation waves

A fibrillation wave was defined as a contiguous volume in which all nodes had transmembrane voltage above −60 mV. Wave size was defined as the number of model elements within this contiguous volume. Both the number of waves and wave sizes were calculated at each millisecond of simulated time.

Fibrillation waves were tracked in both time and space, as described in our previous study.20 Briefly, the temporal dynamics of waves can be described by three events:

  • Generation: appearance of a new wave due to either wave break or transmural conduction.

  • Fusion: the merge of two or more waves into one wave.

  • Extinction: the extinction of a wave, due to encountering either a boundary or unexcitable tissue.

Statistics

All statistical analyses were performed using GraphPad Prism software version 8.0. The values are expressed as means ± SD. Statistical tests were performed to compare the effect of three parameters (fibrosis levels, IK blockade, and PVI) in AF initiation rate, using two-way ANOVA followed by post hoc Bonferroni test. A value of P < 0.05 was considered to be significant.

Results

In total, 240 simulations were performed. The simulations consisted of four groups: control (no interventions), inward rectifier current blockade (IK blockade), PVI, and the combination of inward rectifier current blockade and PVI (IK blockade + PVI). Twenty simulations were performed for each degree of fibrosis, resulting in the total of 60 simulations performed in each group.

Atrial fibrillation initiation

Figure 1A displays several action potentials recorded during simulated AF episodes in the control and IK blockade simulations. IK inhibition caused prolongation of action potential duration at 90% of repolarization (APD90) from 119 ± 12.5 ms in control to 136 ± 10.4 ms.

Figure 1

(A) Simulated action potentials during AF episodes in control and IK blockade simulations. Examples of simulated ECG in (B) control and (C) IK blockade simulation. AF, atrial fibrillation.

Figure 2 depicts representative conduction patterns and corresponding ECG leads of IK blockade, PVI, and IK blockade + PVI simulations under the condition of severe fibrosis. As depicted in this figure, both IK blockade and PVI failed to prevent AF initiation in severe fibrosis simulations, while the combination rendered the atria uninducible.

Figure 2

Consecutive snapshots of conduction patterns and corresponding ECG leads (II, V1, and V3) in IK blockade, PVI, and IK blockade combined with PVI simulations with severe fibrosis. Black star indicates the stimulation point. PVI, pulmonary vein isolation.

Figure 3 shows initiation rates of atrial tachycardia in all simulation groups in the presence of different degrees of fibrosis. The figure shows that in the absence of fibrosis, IK blockade caused a significant reduction in AF initiation likelihood when compared with control, either by preventing initiation of AF or by transforming initiated AF into AFL. IK blockade failed to significantly reduce AF initiation rate in the simulations with moderate or severe fibrosis. In PVI simulations, we observed significant reduction in AF initiation likelihood in the absence or in the presence of moderate fibrosis when compared to control, while no significant reduction was noted in the simulations with severe fibrosis. In the simulations that PVI was combined with IK blockade, we observed a comparable reduction in AF initiation likelihood as in PVI simulations in the absence of fibrosis or in the presence of moderate fibrosis. The combination of IK blockade and PVI further reduced AF initiation likelihood by at least half in the simulations with severe fibrosis.

Figure 3

Atrial fibrillation and atrial flutter initiation likelihood in control (no IK blockade and no PVI), PVI, and PVI + IK blockade with different degrees of fibrosis. AFL, atrial flutter; PVI, pulmonary vein isolation.

Fibrillation pattern complexity

Overall, a significant increase in AF cycle length was observed in all simulation groups when compared to control, regardless of the fibrosis degree, as shown in Table 1. When compared with control, no significant differences in the excitable gap were detected in any simulation group (see Table 1).

Table 1

Atrial fibrillation cycle length and excitable gap in simulation groups with different degrees of fibrosis

Fibrosis
Simulation groups
P-Value
ControlIK blockadePVIPVI + IK blockade
WithoutAFCL (ms)147.12 ± 15210.52±14*187.12±13*202.12±15*<0.05*
EG (ms)55.28 ± 4.359.2 ± 3.158.2 ± 2.957.9 ± 4.2>0.05
ModerateAFCL (ms)152.28 ± 18224.06±16*192.28±14*204.06±16*<0.05*
EG (ms)53.78 ± 3.158.77 ± 4.257.77 ± 3.357.77 ± 3.6>0.05
SevereAFCL (ms)197.13 ± 12229.12±17*228.44±11*219.12±13* 0.05*
EG (ms)54.64 ± 2.959.6 ± 3.857.6 ± 3.857.6 ± 3.1>0.05
Fibrosis
Simulation groups
P-Value
ControlIK blockadePVIPVI + IK blockade
WithoutAFCL (ms)147.12 ± 15210.52±14*187.12±13*202.12±15*<0.05*
EG (ms)55.28 ± 4.359.2 ± 3.158.2 ± 2.957.9 ± 4.2>0.05
ModerateAFCL (ms)152.28 ± 18224.06±16*192.28±14*204.06±16*<0.05*
EG (ms)53.78 ± 3.158.77 ± 4.257.77 ± 3.357.77 ± 3.6>0.05
SevereAFCL (ms)197.13 ± 12229.12±17*228.44±11*219.12±13* 0.05*
EG (ms)54.64 ± 2.959.6 ± 3.857.6 ± 3.857.6 ± 3.1>0.05

AFCL, atrial fibrillation cycle length; EG, excitable gap; PVI, pulmonary vein isolation. * P-value < 0.05.

Table 1

Atrial fibrillation cycle length and excitable gap in simulation groups with different degrees of fibrosis

Fibrosis
Simulation groups
P-Value
ControlIK blockadePVIPVI + IK blockade
WithoutAFCL (ms)147.12 ± 15210.52±14*187.12±13*202.12±15*<0.05*
EG (ms)55.28 ± 4.359.2 ± 3.158.2 ± 2.957.9 ± 4.2>0.05
ModerateAFCL (ms)152.28 ± 18224.06±16*192.28±14*204.06±16*<0.05*
EG (ms)53.78 ± 3.158.77 ± 4.257.77 ± 3.357.77 ± 3.6>0.05
SevereAFCL (ms)197.13 ± 12229.12±17*228.44±11*219.12±13* 0.05*
EG (ms)54.64 ± 2.959.6 ± 3.857.6 ± 3.857.6 ± 3.1>0.05
Fibrosis
Simulation groups
P-Value
ControlIK blockadePVIPVI + IK blockade
WithoutAFCL (ms)147.12 ± 15210.52±14*187.12±13*202.12±15*<0.05*
EG (ms)55.28 ± 4.359.2 ± 3.158.2 ± 2.957.9 ± 4.2>0.05
ModerateAFCL (ms)152.28 ± 18224.06±16*192.28±14*204.06±16*<0.05*
EG (ms)53.78 ± 3.158.77 ± 4.257.77 ± 3.357.77 ± 3.6>0.05
SevereAFCL (ms)197.13 ± 12229.12±17*228.44±11*219.12±13* 0.05*
EG (ms)54.64 ± 2.959.6 ± 3.857.6 ± 3.857.6 ± 3.1>0.05

AFCL, atrial fibrillation cycle length; EG, excitable gap; PVI, pulmonary vein isolation. * P-value < 0.05.

Examples of wave lifespans in control, IK blockade, PVI, and PVI accompanied with IK blockade simulations with severe fibrosis are illustrated in Figure 4A. An increase in the fibrosis degree in control simulations led to a significant increase in fibrillation wave generation rate, quantified as the slope of the fitted line to the wave lifespans, and therefore a significant increase in AF conduction pattern complexity, quantified as the average number of waves per cycle (Figure 4B and C). The increase in conduction pattern complexity was due to the reduction of wave size and higher rate of new wavefront generation, while wavefront lifespan medians remained unchanged (Figure 4D and E). In the simulations without fibrosis, IK blockade caused a significant reduction in the average number of waves per cycle, by increasing the wave sizes and significantly reducing the rate of wavefront generation. However, this effect of IK blockade disappeared in the simulations with moderate and severe fibrosis. Pulmonary vein isolation significantly reduced new wavefront generation rate in the simulations without fibrosis as well as in the simulations with moderate fibrosis. Nevertheless, this effect faded in PVI simulations with severe fibrosis. In IK blockade combined with PVI simulations, the synergistic interaction between the wave size enlargement caused by IK blockade and the reduction in atrial tissue mass caused by PVI further reduced the available space for wavefront interactions. This resulted in significantly decreased rate of new wavefront generation and therefore in a smaller number of fibrillation waves.

Figure 4

Electrophysiological parameters. (A) Examples of wave life spans in control, IK blockade, PVI, and PVI + IK blockade simulations with severe fibrosis (the slope of the fitted red line indicates the wave generation rate). (B) Average number of waves per cycle. (C) Average wave sizes per cycle. (D) Wave generation rate. (E) Wave lifespan median. PVI, pulmonary vein isolation.

Discussion

We investigated the isolated and combined effects of inward rectifier current blockade and PVI on AF initiation in the presence of various degrees of atrial fibrosis. Both inward rectifier blockade and PVI effectively reduced the rate of AF induction at low degrees of atrial fibrosis but lost their efficacy in severely fibrotic atria. In the simulations with severe fibrosis the combination of inward rectifier blockade and PVI effectively suppressed AF recurrences, while either of the interventions was not efficient individually. The synergy between both interventions resulted in reduction in the number of fibrillation waves. The main underlying mechanism behind this effect was a reduction in the rate of new wavefront generation, leaving the lifespan of fibrillation waves unaffected.

Effect of inward rectifier current blockade and pulmonary vein isolation in previous in silico studies

So far, several in silico studies investigated the effect of different antiarrhythmic drugs (single-channel or multiple-channel block) or CAs on AF initiation, perpetuation, and termination.21,22

Among the large variety of potassium channels expressed in human atria, the inward rectifier currents IK1 and IKAch play a significant role in AF perpetuation. Heterogeneous shortening of the atrial effective refractory period caused by vagally modulated IKACh channels are thought to be the mechanism underlying vagally induced AF.23 Hence, inhibition of IKAch may minimize the effect of IKACh modulations and could be a future therapeutic option for vagally induced AF.23 Dobrev et al.14 have demonstrated that an increase of constitutively active IKAch strongly contributes to atrial action potential shortening in human persistent AF. Also IKAch is active in atrial but not in ventricular cells so that inhibition of IKAch is not expected to prolong ventricular action potential. For these reasons inward rectifier currents are an attractive target for antiarrhythmic treatment of AF.22,24 Importantly, IK1 and IKAch only differ in their single channel conductance but their single cell level current–voltage relationships are identical.14 Thus, both currents are adequately represented by the total inward rectifier conductance in computer models.

The influence of inward rectifier current inhibition on AF initiation, termination, and conduction pattern was investigated in several computational studies.21,22 Sánchez et al.24 demonstrated that inward rectifier inhibition led to higher arrhythmia organization by enlarging wave sizes, increasing wave meandering, and reducing the number of secondary wavelets. These findings are in line with our results of inward rectifier current inhibition in the atria without fibrosis in the present study. However, we observed significant efficacy loss of inward rectifier current blockade in reducing the number of fibrillation waves and AF termination or initiation in the presence of moderate or severe fibrosis.

The effectiveness of PVI to terminate AF in representative virtual atria was assessed in several studies.25 Recent proof-of-concept in silico studies investigated the role of atrial fibrosis in ablation failure using detailed patient-specific image-based models.26 These studies demonstrated that both the patient-specific degree and the distribution of fibrosis are a determining factor in AF initiation and maintenance.27 McDowell et al.27 demonstrated that modelling of ablation lesions in the persistent rotor core meandering regions renders AF uninducible. Here, we simulated the combination of PVI and inward rectifier current blockade and studied the mechanisms underlying the synergy between these two treatment options on prevention of AF initiation.

Synergism between inward rectifier inhibition and pulmonary vein isolation to prevent atrial fibrillation recurrence

The development of efficient therapy against AF remains an important unfulfilled clinical need. Treatment with AADs has been considered as the first-line therapy2 and recently has been demonstrated to reduce major cardiovascular adverse events in patients with AF.5 However, the efficacy of AADs decreases with AF progression.2 CA has been recognized as an alternative therapeutic modality in AF treatment, which has been highlighted in several studies to be more efficient than AAD therapy to prevent AF recurrences.21 Nevertheless, CA results remain suboptimal, particularly in non-paroxysmal AF patients.28 Recently, there has been a growing interest in the effect of AAD continuation after CA.6 As reported in the POWDER-AF trial, the AADs, despite being inefficient before ablation, are becoming efficient in reducing AF recurrence after CA.6 The mechanisms underlying this synergy between AADs and CA in AF recurrence prevention were so far not well understood.

Our simulations showed that either inward rectifier current inhibition alone or PVI alone can significantly prevent initiation of AF only in the presence of no or moderate fibrosis, while both became inefficient in the presence of severe fibrosis. When both strategies were combined, little contribution to further reduction of AF inducibility in the simulations with no or moderate fibrosis was observed. In severe fibrosis, inward rectifier blockade in combination with PVI strongly reduced the number of fibrillation waves, increased their size and strongly prevented successful AF induction. This effect was associated with significant decline in the rate of new wave generation while wavefront lifespan remained unaltered. The observed synergism might be explained by the fact that both PVI as well as the wavelength prolongation by the inward rectifier blockade restrict the available space for wavefront–wavetail interactions which reduces the likelihood for wave break and generation of new waves. Our results indicate that the newly developed inhibitors of IKACh have a potential to show the observed synergism with PVI to prevent AF induction in a clinical setting.

Limitations

Inter-individual variabilities in anatomy, atrial size, fibre orientation, and wall thickness were not considered in our study. Several clinical and simulation studies reported the effect of variability in atrial geometry and the pattern of fibrosis on initiation of fibrillatory waves.29,30 Studying the effect of variations in the pattern of atrial fibrosis on AF inducibility is certainly warranted. Although based on clinical data, the pattern of atrial fibrosis was generated algorithmically in this study. We investigated the effect of inward rectifier current inhibition, whereas several other currents have been shown to play an important role in AF termination. Moreover, we did not investigate inhibition of multiple ion channels on AF dynamics. Finally, heterogeneity in ionic parameters in our model has not been implemented on purpose in order to avoid confounding factors.

Conclusions

This study shows that adding inward rectifier current inhibition to PVI caused a significant reduction in AF recurrences even in the atria with severe fibrosis, whereas both treatments alone failed to prevent AF initiation in severely fibrotic atria. This reduction in AF recurrence rate is due to the synergistic effect of the two treatments to reduce the number of wavefront–wavetail interactions, thereby lowering the rate of new wavefront generation and thus the number of active fibrillation waves.

Supplementary material

Supplementary material is available at Europace online.

Funding

This work was supported by the Swiss National Supercomputing Centre (CSCS) under project ID s778 and by grants to US from the Netherlands Heart Foundation (CVON2014-09, RACE V: Reappraisal of Atrial Fibrillation: Interaction between hypercoagulability, Electrical remodelling, and Vascular Destabilisation in the Progression of AF) and the European Union (ERACoSysMED H2020 ERA-NET, Marie Sklodowska-Curie grant agreement No. 675351). G.C. was supported by the Swiss National Foundation (SNF) (Ambizione grant no PZ00P3_180055/1). This paper is part of a supplement supported by an unrestricted grant from the Theo-Rossi di Montelera (TRM) foundation.

Conflict of interest: A.A. is a consultant to Boston Scientific, Backbeat, Biosense Webster, Cairdac, Corvia, Microport CRM, Philips, and Radcliffe Publisher. He received speaker fee from Boston Scientific, Medtronic, and Microport. He participates in clinical trials sponsored by Boston Scientific, Medtronic, and Philips. He has intellectual properties with Boston Scientific, Biosense Webster, and Microport CRM. U.S. received consultancy fees or honoraria from Johnson & Johnson, Roche Diagnostics, and Bayer Healthcare. U.S. is a co-founder and shareholder of YourRhythmics BV. He holds intellectual property with Roche and YourRhythmics BV. The other authors have nothing to declare.

Data availability

The data underlying this article will be shared on reasonable request to the corresponding author.

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