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Integrative Physiology |
From the Department of Bioengineering (J.J.S., S.N.H., M.E.B., A.D.M), Whitaker Institute of Biomedical Engineering, University of California San Diego, La Jolla; and the Department of Physiology (J.L.P.), Loyola University Chicago, Maywood, Ill.
Correspondence to Andrew D. McCulloch, Department of Bioengineering, University of California, San Diego, La Jolla, CA 92037-0412. E-mail amcculloch{at}ucsd.edu
| Abstract |
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Key Words: ß-adrenergic signaling arrhythmia long-QT syndrome computational model
| Introduction |
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subunit of IKs, develop an LQTS (LQT1) particularly susceptible to sudden cardiac death during sympathetic stimulation.1 Whereas healthy individuals have shortened or unchanged QT intervals with exercise or stress, QT intervals in LQT1 patients prolong further,2 suggesting a problem at the interface of the sympathetic nervous system and electrophysiology. Motivated to examine the molecular mechanisms at this interface, Kass and colleagues discovered a signaling complex of KCNQ1, protein kinase A (PKA), and protein phosphatase-1 (PP1) mediated by the A-kinase anchoring protein (AKAP) yotiao.3 LQT1-associated mutation KCNQ1-G589D disrupted the signaling complex, preventing ß-adrenergic regulation of IKs.3 This suggests the possibility that the KCNQ1-G589D mutation, present in 508 of 939 established Finnish LQTS patients4 and associated with exercise-induced arrhythmias,5 may cause an unusual LQTS in which the primary defect occurs in autonomic regulation rather than channel gating per se.
These findings raise a number of integrative questions for which whole-cell and multicellular models are not yet available. What are the cellular mechanisms by which the G589D mutation alters sympathetic response of the myocyte action potential6? Does the mutation prolong the baseline action potential duration (APD) or prevent appropriate rate-dependent APD shortening7? Could this mutation induce trigger events for arrhythmia (eg, afterdepolarizations), and if so, by what mechanisms are these triggers generated6,8? How do these proarrhythmic cellular mechanisms interact with fiber architecture9 and cellular heterogeneity10 to affect action potential propagation and repolarization in the myocardium?
Recent examples have shown a promise of computational models for investigating the impact of gene mutations,11 tissue heterogeneities,12 and dynamical instabilities13 on arrhythmic mechanisms. Here, we use an integrative computational model of ß-adrenergic signaling, excitation-contraction coupling, and action potential propagation to investigate the whole-cell and myocardial consequences of KCNQ1/KCNE1 signaling complex disruption. Model analysis indicates that although the KCNQ1-G589D mutation did not necessarily prolong the QT interval at rest, sympathetic-stimulated increases in ICa, left uncompensated by increased IKs, resulted in QT prolongation. This impaired response to sympathetic stimulation precipitated calcium-mediated afterdepolarizations and transmural dispersion of repolarization in ventricular tissue, significant factors related to arrhythmic risk. However, moderate increases in heart rate protected against these proarrhythmic mechanisms.
| Materials and Methods |
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Based on single-channel recordings of IKs conductance21 and whole-cell IKs conductance in rabbit ventricular myocytes,22 KCNQ1 was assumed to be expressed at 25 nmol/L cytosol, with quasi-equilibrium binding (KD=0.1 nmol/L) to an equivalently expressed yotiao. Yotiao was assumed necessary for interaction between KCNQ1 and PKA or PP1,3 binding one PP1 and one PKA holoenzyme per anchoring protein. The KCNQ1-G589D defect associated with LQT1 syndrome was modeled as a 106-fold increase in the dissociation constant for KCNQ1 and yotiao (Figure 1A).
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Excitation-Contraction Coupling Model
We used a previously published model of excitation-contraction coupling in the adult rabbit ventricular myocyte,22 modified with a simple model of calcium-induced calcium release23 and a reversible Ca SR-ATPase pump.24 Details of modeling the consequences of ICaL, PLB, RyR, and TnI phosphorylation have been described previously14,15 and are summarized in Table S1 in the online data supplement available at http://circres.ahajournals.org. Phosphorylated IKs channels were modeled as being 3.6-fold more likely to be actively gating, with a 35.6 mV leftward shift in the activation curve for the IKs gating variable, consistent with whole-cell patch clamp recordings with cAMP and isoproterenol.25 An IC50 of 0.43 µmol/L was used for nifedipine block of the L-type calcium channel.26 The signaling and excitation-contraction coupling models were fully connected with one another (Figure 1B) and solved numerically with the ode15s algorithm in MATLAB 6.5 (The MathWorks, Natick, Mass). All simulations were begun at steady-state (without isoproterenol) for the cycle length described. Model equations and parameters are provided in the online data supplement.
Rabbit Ventricular Wedge Model
To simulate ß-adrenergic regulation of electrophysiology at the tissue level, we used a 2-element wedge (dimensions
0.9x0.8x0.5 cm) taken from the original 36-element anatomic model of the rabbit ventricular geometry and fiber architecture described by Vetter and McCulloch.9 This wedge was refined in each direction to yield a 1024 element wedge, which was sufficient to obtain solutions for conduction velocity and action potential duration that were both converged to within 2% (data not shown). Transmural electrical heterogeneity in the wedge was incorporated using endocardial, midmyocardial, and epicardial layers with relative thicknesses of 3:3:2. Relative current densities in each region (see online data supplement for parameters) were estimated from rabbit (endocardial/epicardial data for IKs,27 IKr,27 and Ito28; endocardial/midmyocardial/epicardial INa estimated from upstroke velocity29) or when necessary canine (IKp,10 midmyocardial IKs, IKr, and Ito10). Simulations of a larger heart were performed by decreasing the diffusion coefficient 50%, which increases transmural activation time by 50% as well. Initial conditions for finite element simulations were calculated with the integrated signaling/excitation-contraction coupling cell model. We approximated phosphorylation levels as constant over the interval of tissue simulation,
2 seconds. Simulations were performed using a collocation-Galerkin finite element method.30
Model Validation
The cellular model was validated with independent experimental data from the literature at a variety of functional levels, obtained from isolated rabbit ventricular myocytes whenever possible. The signaling portion of the model exhibited appropriate concentration response of cAMP and PKA activity to isoproterenol (EC50s of 10 nmol/L and 11 nmol/L versus 12 nmol/L and 9 nmol/L31), basal particulate cAMP (3.2 versus 3.0 pmol/mg32), desensitization magnitude (35% versus 37%33), cAMP rise, and PKA activation time (1.4 versus 1 minute32), cAMP decline and PKA deactivation time (t1/2 of 5 minutes and 5 minutes versus 4 minutes and 7 minutes32), and downstream phosphorylation levels (PLB EC50 20 versus 7.1 nmol/L; TnI EC50 21 versus 3.1 nmol/L34) (see Figure S1 in the online data supplement). The functional consequences of ß-adrenergic signaling in the rabbit ventricular myocyte were validated as well, confirming consistent changes in calcium channel current (1.8- versus 2.2-fold increase35), calcium inotropy (1.9- versus 1.8-fold increase in
[Cai]35), and decreased action potential duration (14% versus 10%36). ß-Adrenergic regulation of IKs caused an increase in maximum conductance (2.7- versus 2.4-fold25), a leftward shift in the conductance-voltage relation (13 versus 9 mV25), and no change in the activation/inactivation time constant25 (see Figure S2 in the online data supplement).
In the ventricular wedge model, the diffusion coefficient was chosen to yield a transmural conduction velocity of 27 cm/s at 3 Hz, agreeing with results from Sung et al,37 who measured transverse velocities of 23±6 cm/s in an isolated Langendorff-perfused rabbit heart. All measurements of electrophysiological function were consistent with the experimental results performed in arterially perfused rabbit wedge preparations of similar size at 1 Hz38: endocardial APD90 (217 versus 212 ms), epicardial APD90 (166 versus 191 ms), QT interval (245 versus 251 ms), and transmural dispersion of repolarization (TDR) (36 versus 43 ms) (see Figure 6C).
| Results |
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KCNQ1-G589D Mutation Prolongs Cardiac Myocyte APD in Response to Isoproterenol
By incorporating the signaling interactions of the KCNQ1/KCNE1 complex into a whole-cell model of signaling and excitation-contraction coupling, we assessed the cellular-level impact of the KCNQ1-G589D mutation. At 1 Hz, WT myocyte models stimulated with isoproterenol exhibited shortened action potentials (decreased APD90 12%) because of the influence of phosphorylated KCNQ1/KCNE channels (Figure 3A). In contrast, G589D myocyte models treated with isoproterenol exhibited 15% larger APD90 than untreated myocytes (Figure 3A). The rate dependence of APD is important for normal function of the heart as well; so we examined whether the G589D mutation altered this relationship either in untreated or isoproterenol-treated conditions. Untreated WT and G589D myocyte models have extremely similar action potentials. Isoproterenol-stimulated G589D mutants exhibit longer APDs than WT for all cycle lengths (CLs) such that the general rate-dependent APD shortening is preserved (Figure 3B).
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Sympathetic Stimulation May Induce Calcium-Mediated Afterdepolarizations in G589D Mutant Myocytes
Cardiac myocytes with prolonged action potentials are susceptible to early afterdepolarizations (EADs) and delayed afterdepolarizations (DADs), which may serve as cellular-level triggers for cardiac arrhythmias and sudden cardiac death.8 We found both EADs and DADs in isoproterenol-stimulated G589D myocyte models at long cycle lengths, but not in WT. Figure 4A demonstrates the pattern of observed afterdepolarizations with 1 Hz pacing, exhibiting the first EAD at 8 seconds after isoproterenol exposure as PKA-regulated channels undergo significant transitions. Afterdepolarizations subsequently disappear as the signaling state stabilizes. Figure 4B shows action potentials and corresponding calcium concentrations and calcium channel currents during the first EAD from Figure 4A. The prolonged action potential allows the calcium channel to reactivate, initiating the EAD. Because of the short diastolic interval following the EAD, the subsequent action potential is short and thus does not generate a second EAD. DADs were observed secondary to some EADs, as the large amount of calcium brought into the cell forced spontaneous calcium release from the sarcoplasmic reticulum.
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To better understand the conditions in which G589D mutants are susceptible to EADs and DADs, we characterized the incidence of afterdepolarizations for a range of isoproterenol concentrations and pacing rates. Not surprisingly, incidence of EADs and DADs increases with isoproterenol concentration for G589D myocyte models at 1 Hz, whereas WT myocyte models have neither EADs nor DADs (Figure 5A). Only high concentrations of isoproterenol elicited afterdepolarizations. On the other hand, EAD and DAD incidence in 1 µmol/L isoproterenol-stimulated G589D myocyte models decreases with increasing pacing rate (Figure 5B), presumably because of the shortened APDs (see Figure 4B). Single EADs were also observed following a 1.5 second pause in isoproterenol-stimulated G589D myocyte models nominally at 2 and 3 Hz.
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G589D Mutation Prolongs QT and Elevates TDR in a Rabbit Ventricular Wedge Model
To investigate potential consequences of the observed proarrythmic cellular mechanisms, we developed a three-dimensional model of action potential propagation in a rabbit ventricular wedge. APD rate-dependence of WT endocardial, midmyocardial, and epicardial cell models were validated with published experimental data29 (Figure 6A and 6B). With these regional cell types, the ventricular wedge model predicted action potential and ECG properties observed experimentally in WT wedge preparations38 (Figure 6C).
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Consistent with whole-cell simulations above, ß-adrenergic stimulation prolongs QT and creates broad T-waves in the G589D mutant but not WT wedge model, clearly visible on the simulated ECG (Figure 7A). Strong ß-adrenergic stimulation at low pacing rates triggered small EAD-like responses in the endocardial and midmyocardial regions, but the large EADs seen in single cell simulations appear blunted because of electrotonic coupling. Sympathetic stimulation increases APD in the G589D mutant ventricular wedge heterogeneously (Figure 7B), elevating transmural dispersion of repolarization (TDR) at large cycle lengths (Figure 7C). TDR is often used as an indicator of arrhythmic risk.39 TDR increased with cycle length in both WT and mutant tissue models, suggesting a protective role for higher heart rates (Figure 7C). Increased TDR (from 19 to 39 ms) was also observed in G89D wedge models following a 1.5-second pause from 500- and 333-ms basic cycle lengths.
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The likelihood for the G589D proarrhythmic cellular mechanisms to manifest ECG abnormalities appears further increased in simulations of a larger heart. A very large, broad T-wave was observed (Figure 7D, second beat), because of strong EADs elicited by the endocardium. On the subsequent beat, small EADs isolated to a region of midmyocardium cause a bifurcated T-wave with an inverted T2 component. Electrotonic coupling appears lower in the larger heart, allowing more irregular repolarization patterns with G589D mutation.
| Discussion |
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Enhanced calcium channel currents with isoproterenol tended to increase APD, which was counterbalanced by enhanced IKs current in WT but not G589D mutant models. These findings are consistent with experimental data showing variable APD changes in isoproterenol-stimulated WT myocytes,36 but significantly longer APDs when IKs or IKr channels are blocked pharmacologically.40 Isoproterenol shortened WT APD at low but not high rates, qualitatively matching experimental studies showing that high rates either reduce41 or eliminate42 isoproterenol-dependent shortening of WT APD. Although the rate dependence of APD has been hypothesized to be altered with KCNQ1/KCNE1 signaling complex disruption,7 we found that the slow reactivation of IKs maintained rate-dependent shortening of G589D mutant APDs qualitatively similar to WT. The prolonged APD predicted in isoproterenol-stimulated G589D myocyte models increased susceptibility to afterdepolarizations. EADs and DADs, hypothesized as triggers for arrhythmia, have been studied in both mathematical11 and experimental models of drug-induced LQTS.8 The calcium-mediated mechanisms for EAD and DAD initiation, namely ICa reactivation and spontaneous SR calcium release,43 were confirmed by afterdepolarization suppression with the calcium channel blocker nifedipine. Experimentally, isoproterenol may trigger occasional afterdepolarizations in WT myocytes,44 potentially because of stochastic ICa or RyR gating.45 Our deterministic WT models appeared somewhat more stable, which should have made the model more resistant to the observed EADs and DADs with G589D mutation.
We found that during sympathetic stimulation, the predicted cellular consequences of the G589D mutation may amplify existing tissue heterogeneities as evidenced by changes in the ECG and underlying action potentials from the ventricular model. Isoproterenol increased QT interval and TDR in the G589D ventricular wedge model, consistent with pharmacological models of LQT1 in canine.40 Whereas strong electrotonic coupling38 appeared to blunt EADs in our original rabbit wedge model, a larger G589D mutant wedge allowed pronounced ECG abnormalities including sudden large, broad T-waves and T-wave inversion under otherwise unaltered conditions. Similar EADs, TDR, and ECG abnormalities in acquired LQT models have been reported as precursors to torsade de pointes (TdP), a polymorphic ventricular tachycardia.38,39 These mechanistic simulations support the clinical observation that patients with the KCNQ1-G589D mutation are particularly vulnerable to exercise-induced arrhythmias.4,5
Consistent with previous cellular simulations46 and wedge experiments,38,40 QT prolongation, EAD susceptibility, and TDR decreased in models of G589D myocytes and myocardium at increased rates. Whereas sympathetic stimulation increases rate in the intact heart, a vulnerable window to arrhythmia may develop during transitions in sympathetic stimulation39 or following an excitation pause. Pauses may trigger EADs in LQTS47 and have been seen preceding 74% of TdP in congenital LQTS patients.48 We found that pauses allowed EADs in G589D cell models and increased TDR in G589D wedge models at higher pacing rates. This may explain why, as in previous experimental studies,38,40 some proarrhythmic mechanisms were seen at rates lower than expected of the normal rabbit heart. Taken together, our models of myocytes and heterogeneous tissue support the hypothesis that sympathetic stimulation of the ventricle may allow whole-cell and tissue-level arrhythmic mechanisms in G589D mutants, whereas increased heart rate may be protective.
Because we investigated the direct consequences of the G589D mutation, we did not include secondary changes in protein expression. KCNQ1 mutants in cell expression systems suggest a potential for IKs downregulation,3,5 although clinical data are not yet available. Conceivably, the KCNQ1-G589D mutation could work together with IKs downregulation to manifest arrhythmic risk.3 In preliminary simulation studies, we found that a 50% decrease in IKs3 in conjunction with G589D mutation would produce a resting long QT phenotype not seen with G589D mutation alone, without qualitatively affecting the cellular and tissue-level responses to sympathetic stimulation shown above. Perhaps prolonged resting QT, the traditional clinical indicator of LQT1,1 may be a secondary consequence in patients with the G589D mutation. This hypothesis is consistent with experimental models of acquired LQTS that suggest TDR, rather than QT prolongation itself, may allow cellular triggers to propagate into TdP.39 This hypothesis is also consistent with a clinical study that showed LQT1 genotype to correlate better with epinephrine-stimulated QT prolongation than resting QT.2
A mechanistic ß-adrenergic signaling model has allowed us to characterize the graded, dynamic regulation of E-C coupling and mechanistically model the G589D mutation. Thus, we predicted rather than imposed the regulatory consequences of G589D mutation and demonstrated robustness to isoproterenol concentration in the predicted phenotypes. With large changes in phosphorylation levels during simulations, the detailed model was vital for describing a transient vulnerable period for EADs and calculating appropriate initial conditions for ventricular wedge simulations. Finally, the detailed model creates a framework for investigating potential therapeutics such as ß-blockers, PDE inhibitors, and PLB inhibitors in the context of this congenital LQTS.
A number of limitations in this study must be considered when interpreting the results. At the level of signaling networks, many pathway and cross-talk interactions were not modeled. Sympathetic stimulation also activates the ß2-AR and
1-AR pathways, although they are not as prominent as ß1-AR signaling in the overall inotropic and electrophysiological response under normal conditions.49 Calmodulin and CaMKII pathways affect the frequency dependence of several aspects of excitation-contraction coupling50; incorporating these regulatory interactions may increase APD and afterdepolarization incidence at higher pacing rates. The controversial ß-adrenergic actions on IKr have not been included, as they are thought to act indirectly via unknown mechanisms including PKC rather than direct PKA-mediated phosphorylation.51 Although we have included the functional roles of some A-kinase anchoring proteins, many mechanisms for signaling compartmentation are still unclear.49 Our model of calcium handling uses a simplified representation of calcium-induced calcium release,23 which is unable to predict stochastic behavior such as calcium sparks or the role of calcium in the junctional subspace. However, our model is sufficient to predict graded calcium release,23 cytosolic calcium transients,22 and generation of EADs and DADs.11
Although heterogeneities in the myocardium can greatly affect action potential propagation, we have only accounted for the most prominent differences. We have modeled endocardial, midmyocardial, and epicardial myocytes arranged in transmural layers,10 although these cells may not be arranged in distinct layers in the real heart.52 We have modeled fiber angle distributions9 but not the discontinuous architecture of laminar sheets.53 Although we did not model Purkinje fibers, our endocardial pacing as in experimental wedge preparations40 is unlikely to be greatly affected. The experimental perfused-wedge preparation has been used in numerous studies of ventricular heterogeneity and acquired LQTS.8 However, the ventricular wedge used here and in previous experimental work lacks many anatomic and physiologic features of the intact heart. We did not observe TdP, perhaps because of the size of our ventricular wedge.38 Although we have modeled sympathetic stimulation as uniform within the ventricular wedge (as in experimental wedge preparations40), heterogeneity of cardiac innervation and expression of signaling proteins may contribute to arrhythmia.39 Despite these limitations, our computational models successfully predicted many known aspects of cardiac excitation-contraction coupling and its regulation by ß-adrenergic signaling in rabbit.
In conclusion, the KCNQ1-G589D gene defect appears sufficient to prolong the QT interval and generate cellular triggers for arrhythmia during sympathetic stimulation. These cellular arrhythmic mechanisms combine with ventricular heterogeneities to increase transmural dispersion of repolarization and may promote T-wave abnormalities, establishing a vulnerable proarrhythmic environment.
| Acknowledgments |
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| Footnotes |
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