A multiscale investigation of repolarization variability and its role in cardiac arrhythmogenesis.

Enhanced temporal and spatial variability in cardiac repolarization has been related to increased arrhythmic risk both clinically and experimentally. Causes and modulators of variability in repolarization and their implications in arrhythmogenesis are however not well understood. At the ionic level, the slow component of the delayed rectifier potassium current (I(Ks)) is an important determinant of ventricular repolarization. In this study, a combination of experimental and computational multiscale studies is used to investigate the role of intrinsic and extrinsic noise in I(Ks) in modulating temporal and spatial variability in ventricular repolarization in human and guinea pig. Results show that under physiological conditions: i), stochastic fluctuations in I(Ks) gating properties (i.e., intrinsic noise) cause significant beat-to-beat variability in action potential duration (APD) in isolated cells, whereas cell-to-cell differences in channel numbers (i.e., extrinsic noise) also contribute to cell-to-cell APD differences; ii), in tissue, electrotonic interactions mask the effect of I(Ks) noise, resulting in a significant decrease in APD temporal and spatial variability compared to isolated cells. Pathological conditions resulting in gap junctional uncoupling or a decrease in repolarization reserve uncover the manifestation of I(Ks) noise at cellular and tissue level, resulting in enhanced ventricular variability and abnormalities in repolarization such as afterdepolarizations and alternans.

[1]  Itsuo Kodama,et al.  Density and Kinetics of IKr and IKs in Guinea Pig and Rabbit Ventricular Myocytes Explain Different Efficacy of IKs Blockade at High Heart Rate in Guinea Pig and Rabbit: Implications for Arrhythmogenesis in Humans , 2001, Circulation.

[2]  Yoram Rudy,et al.  Simulation of the Undiseased Human Cardiac Ventricular Action Potential: Model Formulation and Experimental Validation , 2011, PLoS Comput. Biol..

[3]  J. Ruppersberg Ion Channels in Excitable Membranes , 1996 .

[4]  T. Schlick,et al.  Supporting Material , 2006 .

[5]  A Varró,et al.  The slow component of the delayed rectifier potassium current in undiseased human ventricular myocytes. , 2001, Cardiovascular research.

[6]  Pras Pathmanathan,et al.  Chaste: using agile programming techniques to develop computational biology software , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[7]  J. Kucera,et al.  Mechanisms of intrinsic beating variability in cardiac cell cultures and model pacemaker networks. , 2007, Biophysical journal.

[8]  Y. Rudy,et al.  Ionic Current Basis of Electrocardiographic Waveforms: A Model Study , 2002, Circulation research.

[9]  Mechanisms of beta-adrenergic modulation of I(Ks) in the guinea-pig ventricle: insights from experimental and model-based analysis. , 2009, Biophysical journal.

[10]  M. Zaniboni,et al.  Beat-to-beat repolarization variability in ventricular myocytes and its suppression by electrical coupling. , 2000, American journal of physiology. Heart and circulatory physiology.

[11]  Gernot Plank,et al.  Development of an anatomically detailed MRI-derived rabbit ventricular model and assessment of its impact on simulations of electrophysiological function , 2009, American journal of physiology. Heart and circulatory physiology.

[12]  Fred J. Sigworth,et al.  Single-Channel Properties of IKs Potassium Channels , 1998, The Journal of general physiology.

[13]  D. Rosenbaum,et al.  Molecular correlates of repolarization alternans in cardiac myocytes. , 2005, Journal of molecular and cellular cardiology.

[14]  Yoram Rudy,et al.  Kinetic properties of the cardiac L-type Ca2+ channel and its role in myocyte electrophysiology: a theoretical investigation. , 2007, Biophysical journal.

[15]  D. Rosenbaum,et al.  Nature, significance, and mechanisms of electrical heterogeneities in ventricle. , 2004, The anatomical record. Part A, Discoveries in molecular, cellular, and evolutionary biology.

[16]  Peter Kohl,et al.  Force-length relations in isolated intact cardiomyocytes subjected to dynamic changes in mechanical load. , 2007, American journal of physiology. Heart and circulatory physiology.

[17]  Jay T. Rubinstein,et al.  Comparison of Algorithms for the Simulation of Action Potentials with Stochastic Sodium Channels , 2002, Annals of Biomedical Engineering.

[18]  M. Franz,et al.  Prolongation of monophasic action potential duration and the refractory period in the human heart by tedisamil, a new potassium-blocking agent. , 1994, European heart journal.

[19]  R. Myerburg,et al.  Potassium rectifier currents differ in myocytes of endocardial and epicardial origin. , 1992, Circulation research.

[20]  D. Bers,et al.  A novel computational model of the human ventricular action potential and Ca transient. , 2010, Journal of Molecular and Cellular Cardiology.

[21]  Jean-Pierre Valentin,et al.  I(Ks) restricts excessive beat-to-beat variability of repolarization during beta-adrenergic receptor stimulation. , 2010, Journal of molecular and cellular cardiology.

[22]  Mathieu Lemay,et al.  Effects of stochastic channel gating and distribution on the cardiac action potential. , 2011, Journal of theoretical biology.

[23]  D. Rosenbaum,et al.  Maintenance of intercellular coupling by the antiarrhythmic peptide rotigaptide suppresses arrhythmogenic discordant alternans. , 2008, American journal of physiology. Heart and circulatory physiology.

[24]  H. Wichmann,et al.  Usefulness of short-term variability of QT intervals as a predictor for electrical remodeling and proarrhythmia in patients with nonischemic heart failure. , 2010, The American journal of cardiology.

[25]  F. Fenton,et al.  Minimal model for human ventricular action potentials in tissue. , 2008, Journal of theoretical biology.

[26]  F. Sigworth The variance of sodium current fluctuations at the node of Ranvier , 1980, The Journal of physiology.

[27]  S. Bryant,et al.  Regional differences in the delayed rectifier current (IKr and IKs) contribute to the differences in action potential duration in basal left ventricular myocytes in guinea-pig. , 1998, Cardiovascular research.

[28]  Stanley Nattel,et al.  Ionic current abnormalities associated with prolonged action potentials in cardiomyocytes from diseased human right ventricles. , 2004, Heart rhythm.

[29]  A Varró,et al.  Delayed rectifier potassium current in undiseased human ventricular myocytes. , 1998, Cardiovascular research.

[30]  A. V. van Ginneken,et al.  Norepinephrine induces action potential prolongation and early afterdepolarizations in ventricular myocytes isolated from human end-stage failing hearts. , 2001, European heart journal.

[31]  G. Duker,et al.  Instability and Triangulation of the Action Potential Predict Serious Proarrhythmia, but Action Potential Duration Prolongation Is Antiarrhythmic , 2001, Circulation.

[32]  R. Fox Stochastic versions of the Hodgkin-Huxley equations. , 1997, Biophysical journal.

[33]  Godfrey L. Smith,et al.  The link between repolarisation alternans and ventricular arrhythmia: does the cellular phenomenon extend to the clinical problem? , 2008, Journal of molecular and cellular cardiology.

[34]  C. Antzelevitch,et al.  Evidence for the Presence of M Cells in the Guinea Pig Ventricle , 1996, Journal of cardiovascular electrophysiology.

[35]  K. T. ten Tusscher,et al.  Alternans and spiral breakup in a human ventricular tissue model. , 2006, American journal of physiology. Heart and circulatory physiology.

[36]  I. Efimov,et al.  Transmural Dispersion of Repolarization in Failing and Nonfailing Human Ventricle , 2010, Circulation research.

[37]  Joseph L Greenstein,et al.  The role of stochastic and modal gating of cardiac L-type Ca2+ channels on early after-depolarizations. , 2005, Biophysical journal.

[38]  G. Beatch,et al.  Kinetics of rate‐dependent shortening of action potential duration in guinea‐pig ventricle; effects of IK1 and IKr blockade , 1999, British journal of pharmacology.

[39]  M. Sanguinetti,et al.  Two components of cardiac delayed rectifier K+ current. Differential sensitivity to block by class III antiarrhythmic agents , 1990, The Journal of general physiology.

[40]  F. Sesti,et al.  Single-Channel Characteristics of Wild-Type IKs Channels and Channels formed with Two MinK Mutants that Cause Long QT Syndrome , 1998, The Journal of general physiology.

[41]  S Nattel,et al.  Evidence for two components of delayed rectifier K+ current in human ventricular myocytes. , 1996, Circulation research.

[42]  László Virág,et al.  The role of the delayed rectifier component IKs in dog ventricular muscle and Purkinje fibre repolarization , 2000, The Journal of physiology.

[43]  Milan Stengl,et al.  Increased Short-Term Variability of Repolarization Predicts d-Sotalol–Induced Torsades de Pointes in Dogs , 2004, Circulation.

[44]  S. Bryant,et al.  Comparison of guinea-pig ventricular myocytes and dog Purkinje fibres for in vitro assessment of drug-induced delayed repolarization. , 2007, Journal of pharmacological and toxicological methods.

[45]  László Virág,et al.  Restricting Excessive Cardiac Action Potential and QT Prolongation: A Vital Role for IKs in Human Ventricular Muscle , 2005, Circulation.

[46]  W. Ebeling Stochastic Processes in Physics and Chemistry , 1995 .

[47]  M. Carrier,et al.  Transmural heterogeneity of action potentials and I to1 in myocytes isolated from the human right ventricle. , 1998, American journal of physiology. Heart and circulatory physiology.

[48]  J. Cordeiro,et al.  Cell‐to‐Cell Electrical Interactions During Early and Late Repolarization , 2006, Journal of cardiovascular electrophysiology.

[49]  R. Kass,et al.  Delayed-rectifier potassium channel activity in isolated membrane patches of guinea pig ventricular myocytes. , 1991, The American journal of physiology.

[50]  Nathan A. Baker,et al.  A multiscale model linking ion-channel molecular dynamics and electrostatics to the cardiac action potential , 2009, Proceedings of the National Academy of Sciences.

[51]  S Nattel,et al.  Transient outward and delayed rectifier currents in canine atrium: properties and role of isolation methods. , 1996, The American journal of physiology.

[52]  Christopher J. Lingle,et al.  Empirical considerations regarding the use of ensemble-variance analysis of macroscopic currents , 2006, Journal of Neuroscience Methods.

[53]  A J Levi,et al.  The effect of strophanthidin on action potential, calcium current and contraction in isolated guinea‐pig ventricular myocytes. , 1991, The Journal of physiology.

[54]  E. Marbán,et al.  Distinct gene-specific mechanisms of arrhythmia revealed by cardiac gene transfer of two long QT disease genes, HERG and KCNE1 , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[55]  Trine Krogh-Madsen,et al.  Stochastic Aspects of Cardiac Arrhythmias , 2007 .

[56]  Baofeng Yang,et al.  Transmembrane I Ca contributes to rate-dependent changes of action potentials in human ventricular myocytes. , 1999, American journal of physiology. Heart and circulatory physiology.

[57]  A. Corrias,et al.  Arrhythmic risk biomarkers for the assessment of drug cardiotoxicity: from experiments to computer simulations , 2010, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[58]  C. Antzelevitch,et al.  Prominent IKs in Epicardium and Endocardium Contributes to Development of Transmural Dispersion of Repolarization but Protects Against Development of Early Afterdepolarizations , 2002, Journal of cardiovascular electrophysiology.

[59]  R. Meyer,et al.  Control of L‐type calcium current during the action potential of guinea‐pig ventricular myocytes , 1998, The Journal of physiology.

[60]  F. Sigworth Interpreting power spectra from nonstationary membrane current fluctuations. , 1981, Biophysical journal.

[61]  Pablo Laguna,et al.  A wavelet-based ECG delineator: evaluation on standard databases , 2004, IEEE Transactions on Biomedical Engineering.