Suppression of Cellular Alternans in Guinea pig Ventricular Myocytes with LQT2: Insights from the Luo-rudy Model

Genetic and drug-induced abnormalities of cardiac repolarization have been linked to fatal arrhythmias. These arrhythmias result from a complex interaction of the remaining currents during excitation and repolarization. In this review, we examine recent advancement in investigations of genetic heart diseases and mechanisms of arrhythmia generation. We also present our simulation of repolarization during rapid pacing for different levels of block of the rapid delayed rectifier current, IKr, and pharmacological interventions using the Luo–Rudy model. Control simulations showed the development of alternans at a basic cycle length (BCL) of 131 ms. Two levels of IKr block were simulated corresponding to type 2 of familial long QT syndrome, LQT2. At 100% IKr block, the threshold BCL for the appearance of alternans increased to 145 ms and for shorter cycle lengths showed increasingly complex patterns of periodic and chaotic behavior. We examined the potential of other currents to correct this complex behavior. Improvement of the threshold for bifurcation as a function of BCL was achieved by: (1) 100% block of a nonspecific Ca2+-activated current; (2) 15% block of L-type Ca2+ current; (3) 20% increase of Na+/K+ pump current; (4) 50% increase of SERCA2 pump activity. Conversely, increased L-type Ca2+ current, decreased Na+/K+ pump current, or decreased SERCA2 pump activity increased the threshold BCL. Modification of several other currents had little effect. Alternans and chaotic activity develop at fast pacing rates in model guinea pig ventricular myocytes through a sequence of bifurcations. We elucidated mechanisms that modify the development of alternans which may provide novel targets for treatment of patients with LQT2.

[1]  R. Gray,et al.  Spatial and temporal organization during cardiac fibrillation , 1998, Nature.

[2]  John Sharkey,et al.  Acquired QT interval prolongation and HERG: implications for drug discovery and development. , 2004, European journal of pharmacology.

[3]  Wataru Shimizu,et al.  Brugada syndrome: report of the second consensus conference. , 2005, Heart rhythm.

[4]  L. C. Knox SUDDEN DEATH ASSOCIATED WITH BRAIN CYSTS , 1930 .

[5]  Takanori Ikeda,et al.  T-wave alternans as a predictor for sudden cardiac death after myocardial infarction. , 2002, The American journal of cardiology.

[6]  F. Fenton,et al.  Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation. , 1998, Chaos.

[7]  R. Kass,et al.  Mutations in Cardiac Sodium Channels , 2003, American journal of pharmacogenomics : genomics-related research in drug development and clinical practice.

[8]  S. Priori,et al.  Genetics of Long QT, Brugada, and Other Channelopathies , 2004 .

[9]  A. Panfilov,et al.  Spiral breakup as a model of ventricular fibrillation. , 1998, Chaos.

[10]  T. Kuusela,et al.  Nonlinear methods of biosignal analysis in assessing terbutaline-induced heart rate and blood pressure changes. , 2002, American journal of physiology. Heart and circulatory physiology.

[11]  Lippincott Williams Wilkins,et al.  The Sicilian gambit. A new approach to the classification of antiarrhythmic drugs based on their actions on arrhythmogenic mechanisms. Task Force of the Working Group on Arrhythmias of the European Society of Cardiology. , 1991, Circulation.

[12]  A. Wilde,et al.  Absence of Calsequestrin 2 Causes Severe Forms of Catecholaminergic Polymorphic Ventricular Tachycardia , 2002, Circulation research.

[13]  Daniel J Gauthier,et al.  Experimental control of cardiac muscle alternans. , 2002, Physical review letters.

[14]  W. Trautwein,et al.  Ionic currents contributing to the action potential in single ventricular myocytes of the guinea pig studied with action potential clamp , 1990, Pflügers Archiv.

[15]  S. Priori,et al.  FKBP12.6 Deficiency and Defective Calcium Release Channel (Ryanodine Receptor) Function Linked to Exercise-Induced Sudden Cardiac Death , 2003, Cell.

[16]  R. Elston,et al.  Electrocardiographic Prediction of Abnormal Genotype in Congenital Long QT Syndrome: Experience in 101 Related Family Members , 2001, Journal of cardiovascular electrophysiology.

[17]  R. Ramirez,et al.  Regulation of cardiac excitation–contraction coupling by action potential repolarization: role of the transient outward potassium current (Ito) , 2003, The Journal of physiology.

[18]  A. V. van Ginneken,et al.  Mutation in the KCNQ1 Gene Leading to the Short QT-Interval Syndrome , 2004, Circulation.

[19]  A. Garfinkel,et al.  Mechanisms of Discordant Alternans and Induction of Reentry in Simulated Cardiac Tissue , 2000, Circulation.

[20]  M. Boyett,et al.  Mechanical alternans during acidosis in ferret heart muscle. , 1991, Circulation research.

[21]  A Malliani,et al.  Electrical alternation of the T-wave: clinical and experimental evidence of its relationship with the sympathetic nervous system and with the long Q-T syndrome. , 1975, American heart journal.

[22]  Harold M. Hastings,et al.  Memory in an Excitable Medium: A Mechanism for Spiral Wave Breakup in the Low-Excitability Limit , 1999 .

[23]  D. Noble,et al.  Relationship between the transient inward current and slow inward currents in the sino‐atrial node of the rabbit. , 1986, The Journal of physiology.

[24]  Katherine A. Sheehan,et al.  Functional coupling between glycolysis and excitation—contraction coupling underlies alternans in cat heart cells , 2000, The Journal of physiology.

[25]  斎藤 寛和 Alternans of action potential duration after abrupt shortening of cycle length : differences between dog Purkinje and ventricular muscle fibers , 1989 .

[26]  C. Luo,et al.  A dynamic model of the cardiac ventricular action potential. II. Afterdepolarizations, triggered activity, and potentiation. , 1994, Circulation research.

[27]  T. Ikeda,et al.  Comparison of T-wave alternans and QT interval dispersion to predict ventricular tachyarrhythmia in patients with dilated cardiomyopathy and without antiarrhythmic drugs: a prospective study. , 2001, Japanese heart journal.

[28]  D. Euler Cardiac alternans: mechanisms and pathophysiological significance. , 1999, Cardiovascular research.

[29]  Z. Qu Dynamical effects of diffusive cell coupling on cardiac excitation and propagation: a simulation study. , 2004, American journal of physiology. Heart and circulatory physiology.

[30]  Michael C. Mackey,et al.  From Clocks to Chaos , 1988 .

[31]  C. Luo,et al.  A model of the ventricular cardiac action potential. Depolarization, repolarization, and their interaction. , 1991, Circulation research.

[32]  C. Antzelevitch,et al.  Amplification of spatial dispersion of repolarization underlies sudden cardiac death associated with catecholaminergic polymorphic VT, long QT, short QT and Brugada syndromes , 2006, Journal of internal medicine.

[33]  M. Sanguinetti,et al.  Molecular Genetic Insights into Cardiovascular Disease , 1996, Science.

[34]  J. Spear,et al.  A comparison of alternation in myocardial action potentials and contractility. , 1971, The American journal of physiology.

[35]  J. Ruskin,et al.  Electrical alternans and vulnerability to ventricular arrhythmias. , 1994, The New England journal of medicine.

[36]  A. Camm,et al.  Drug induced QT prolongation and torsades de pointes , 2003, Heart.

[37]  M. Hoshijima Gene therapy targeted at calcium handling as an approach to the treatment of heart failure. , 2005, Pharmacology & therapeutics.

[38]  S. Priori,et al.  CaV1.2 Calcium Channel Dysfunction Causes a Multisystem Disorder Including Arrhythmia and Autism , 2004, Cell.

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

[40]  H. Hayakawa,et al.  Electrical and Mechanical Alternans in Canine Myocardium In Vivo Dependence on Intracellular Calcium Cycling , 1993, Circulation.

[41]  R. Gilmour,et al.  Electrical restitution and spatiotemporal organization during ventricular fibrillation. , 1999, Circulation research.

[42]  Frank B Sachse,et al.  Severe arrhythmia disorder caused by cardiac L-type calcium channel mutations. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[43]  K. Brown,et al.  Mutations of the Cardiac Ryanodine Receptor (RyR2) Gene in Familial Polymorphic Ventricular Tachycardia , 2001, Circulation.

[44]  S. Priori,et al.  A Novel Form of Short QT Syndrome (SQT3) Is Caused by a Mutation in the KCNJ2 Gene , 2005, Circulation research.

[45]  D. Chialvo,et al.  Non-linear dynamics of cardiac excitation and impulse propagation , 1987, Nature.

[46]  R. Gilmour,et al.  Memory and complex dynamics in cardiac Purkinje fibers. , 1997, The American journal of physiology.

[47]  H. Wellens,et al.  Novel Insights in the Congenital Long QT Syndrome , 2002, Annals of Internal Medicine.

[48]  Peter N. Jordan,et al.  Action potential morphology influences intracellular calcium handling stability and the occurrence of alternans. , 2006, Biophysical journal.

[49]  Daniel J. Gauthier,et al.  Prevalence of Rate-Dependent Behaviors in Cardiac Muscle , 1999 .

[50]  M Restivo,et al.  Electrophysiological basis of arrhythmogenicity of QT/T alternans in the long-QT syndrome: tridimensional analysis of the kinetics of cardiac repolarization. , 1998, Circulation research.

[51]  S. Priori,et al.  Mutations in the Cardiac Ryanodine Receptor Gene (hRyR2) Underlie Catecholaminergic Polymorphic Ventricular Tachycardia , 2001, Circulation.

[52]  M. Diaz,et al.  Sarcoplasmic Reticulum Calcium Content Fluctuation Is the Key to Cardiac Alternans , 2004, Circulation research.

[53]  M J Lab,et al.  Electrophysiological alternans and restitution during acute regional ischaemia in myocardium of anaesthetized pig. , 1988, The Journal of physiology.

[54]  A. Marks,et al.  Molecular determinants of altered contractility in heart failure , 2004, Annals of medicine.

[55]  L. J. Leon,et al.  Spatiotemporal evolution of ventricular fibrillation , 1998, Nature.

[56]  R J Cohen,et al.  Electrical alternans and cardiac electrical instability. , 1988, Circulation.

[57]  G. Tomaselli,et al.  Molecular basis of arrhythmias. , 2005, Circulation.

[58]  J. Kere,et al.  Arrhythmic disorder mapped to chromosome 1q42-q43 causes malignant polymorphic ventricular tachycardia in structurally normal hearts. , 1999, Journal of the American College of Cardiology.

[59]  A Garfinkel,et al.  Cardiac electrical restitution properties and stability of reentrant spiral waves: a simulation study. , 1999, The American journal of physiology.

[60]  Shien-Fong Lin,et al.  Spatial Heterogeneity of Calcium Transient Alternans During the Early Phase of Myocardial Ischemia in the Blood-Perfused Rabbit Heart , 2001, Circulation.

[61]  A Garfinkel,et al.  Controlling cardiac chaos. , 1992, Science.

[62]  Alain Karma,et al.  Coupled dynamics of voltage and calcium in paced cardiac cells. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[63]  H. Katus,et al.  Adrenergic regulation of the rapid component of the cardiac delayed rectifier potassium current, IKr, and the underlying hERG ion channel , 2004, Basic Research in Cardiology.

[64]  Kenneth R. Laurita,et al.  Transmural Heterogeneity of Calcium Handling in Canine , 2003, Circulation research.

[65]  D. Rosenbaum,et al.  Repolarization alternans: implications for the mechanism and prevention of sudden cardiac death. , 2003, Cardiovascular research.

[66]  K. Kubo,et al.  T-Wave Alternans in Patients with Right Ventricular Tachycardia , 2003, Cardiology.

[67]  A Garfinkel,et al.  Effects of simulated ischemia on spiral wave stability. , 2001, American journal of physiology. Heart and circulatory physiology.

[68]  A Garfinkel,et al.  Alternans and the onset of ventricular fibrillation. , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[69]  D. Rosenbaum,et al.  Mechanism linking T-wave alternans to the genesis of cardiac fibrillation. , 1999, Circulation.

[70]  David Zeltser,et al.  Drug-induced prolongation of the QT interval. , 2004, The New England journal of medicine.

[71]  Y Rudy,et al.  Two components of the delayed rectifier K+ current in ventricular myocytes of the guinea pig type. Theoretical formulation and their role in repolarization. , 1995, Circulation research.

[72]  D. Adam,et al.  Fluctuations in T-wave morphology and susceptibility to ventricular fibrillation. , 1984, Journal of electrocardiology.

[73]  Hideki Hayashi,et al.  The dynamics of cardiac fibrillation. , 2005, Circulation.

[74]  J. Nerbonne,et al.  Molecular basis of transient outward K+ current diversity in mouse ventricular myocytes , 1999, The Journal of physiology.

[75]  Shien-Fong Lin,et al.  Two Types of Ventricular Fibrillation in Isolated Rabbit Hearts: Importance of Excitability and Action Potential Duration Restitution , 2002, Circulation.

[76]  R. A. Gray,et al.  Mechanisms of Cardiac Fibrillation , 1995, Science.

[77]  F. Charpentier,et al.  Mapping of a gene for long QT syndrome to chromosome 4q25-27. , 1995, American journal of human genetics.

[78]  E. Doedel,et al.  Bifurcation diagrams of frequency dependence of repolarization during long QT syndrome using the Luo-Rudy model of cardiac repolarization , 2000 .

[79]  C. Antzelevitch Cellular basis and mechanism underlying normal and abnormal myocardial repolarization and arrhythmogenesis , 2004, Annals of medicine.

[80]  F. Fenton,et al.  Multiple mechanisms of spiral wave breakup in a model of cardiac electrical activity. , 2002, Chaos.

[81]  S. Hohnloser,et al.  Effect of metoprolol and d,l-sotalol on microvolt-level T-wave alternans. Results of a prospective, double-blind, randomized study. , 2001, Journal of the American College of Cardiology.

[82]  A Garfinkel,et al.  Quasiperiodicity and chaos in cardiac fibrillation. , 1997, The Journal of clinical investigation.

[83]  D. Rosenbaum,et al.  Modulation of ventricular repolarization by a premature stimulus. Role of epicardial dispersion of repolarization kinetics demonstrated by optical mapping of the intact guinea pig heart. , 1996, Circulation research.

[84]  A. Karma Electrical alternans and spiral wave breakup in cardiac tissue. , 1994, Chaos.

[85]  M. Rosen,et al.  Cardiac memory … new insights into molecular mechanisms , 2006, The Journal of physiology.

[86]  C. Luo,et al.  A dynamic model of the cardiac ventricular action potential. I. Simulations of ionic currents and concentration changes. , 1994, Circulation research.

[87]  R. Speicher,et al.  Regular and chaotic behaviour of cardiac cells stimulated at frequencies between 2 and 20 Hz , 2004, European Biophysics Journal.

[88]  A. Noma,et al.  Calcium‐activated non‐selective cation channel in ventricular cells isolated from adult guinea‐pig hearts. , 1988, The Journal of physiology.

[89]  M. Yokoyama,et al.  Onset heart rate of microvolt-level T-wave alternans provides clinical and prognostic value in nonischemic dilated cardiomyopathy. , 2002, Journal of the American College of Cardiology.

[90]  A. Plump Cardiovascular medicine at the turn of the millennium. , 1998, The New England journal of medicine.

[91]  R. Verrier,et al.  Dynamic tracking of cardiac vulnerability by complex demodulation of the T wave. , 1991, Science.

[92]  A. Garfinkel,et al.  Effects of amiodarone on wave front dynamics during ventricular fibrillation in isolated swine right ventricle. , 2002, American journal of physiology. Heart and circulatory physiology.

[93]  T. Ikeda,et al.  Combined assessment of T-wave alternans and late potentials used to predict arrhythmic events after myocardial infarction. A prospective study. , 2000, Journal of the American College of Cardiology.

[94]  S. Hohnloser,et al.  Usefulness of microvolt T-wave alternans for prediction of ventricular tachyarrhythmic events in patients with dilated cardiomyopathy: results from a prospective observational study. , 2003, Journal of the American College of Cardiology.

[95]  A. Garfinkel,et al.  Preventing ventricular fibrillation by flattening cardiac restitution. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[96]  W Peters,et al.  Cellular Mechanisms of Differential Action Potential Duration Restitution in Canine Ventricular Muscle Cells During Single Versus Double Premature Stimuli , 1992, Circulation.

[97]  G. Pedrizzetti,et al.  Vortex Dynamics , 2011 .

[98]  A Garfinkel,et al.  Spatiotemporal heterogeneity in the induction of ventricular fibrillation by rapid pacing: importance of cardiac restitution properties. , 1999, Circulation research.

[99]  H. Glitsch,et al.  Activation of the cAMP–protein kinase A pathway facilitates Na+ translocation by the Na+–K+ pump in guinea‐pig ventricular myocytes , 2000, The Journal of physiology.

[100]  M. Diaz,et al.  Depressed Ryanodine Receptor Activity Increases Variability and Duration of the Systolic Ca2+ Transient in Rat Ventricular Myocytes , 2002, Circulation research.

[101]  D. Mcnamara,et al.  Heritable Q‐T Prolongation Without Deafness , 1970, Circulation.

[102]  B. Surawicz,et al.  Cycle length effect on restitution of action potential duration in dog cardiac fibers. , 1983, The American journal of physiology.

[103]  R. Gilmour A novel approach to identifying antiarrhythmic drug targets. , 2003, Drug discovery today.

[104]  Arthur J Moss,et al.  SCN5A mutations associated with an inherited cardiac arrhythmia, long QT syndrome , 1995, Cell.

[105]  A Garfinkel,et al.  Spatiotemporal complexity of ventricular fibrillation revealed by tissue mass reduction in isolated swine right ventricle. Further evidence for the quasiperiodic route to chaos hypothesis. , 1997, The Journal of clinical investigation.

[106]  M. Viitasalo,et al.  Catecholaminergic polymorphic ventricular tachycardia: recent mechanistic insights. , 2005, Cardiovascular research.

[107]  C F Starmer,et al.  Vulnerability in an excitable medium: analytical and numerical studies of initiating unidirectional propagation. , 1993, Biophysical journal.

[108]  D. Chialvo,et al.  Low dimensional chaos in cardiac tissue , 1990, Nature.

[109]  B. G. Bass Restitution of the action potential in cat papillary muscle. , 1975, The American journal of physiology.

[110]  D. Rosenbaum,et al.  Restitution, Repolarization, and Alternans as Arrhythmogenic Substrates , 2004 .

[111]  C. Antzelevitch,et al.  Cellular and ionic basis for T-wave alternans under long-QT conditions. , 1999, Circulation.

[112]  H. Morita,et al.  Nicorandil abolished repolarisation alternans in a patient with idiopathic long QT syndrome , 1999, Heart.

[113]  J. Brugada,et al.  Right bundle branch block, persistent ST segment elevation and sudden cardiac death: a distinct clinical and electrocardiographic syndrome. A multicenter report. , 1992, Journal of the American College of Cardiology.

[114]  P. C. Viswanathan,et al.  Effects of IKr and IKs heterogeneity on action potential duration and its rate dependence: a simulation study. , 1999, Circulation.

[115]  D. Kastner,et al.  Autosomal Recessive Catecholamine- or Exercise-Induced Polymorphic Ventricular Tachycardia: Clinical Features and Assignment of the Disease Gene to Chromosome 1p13-21 , 2001, Circulation.

[116]  A. Garfinkel,et al.  Chaos and the transition to ventricular fibrillation: a new approach to antiarrhythmic drug evaluation. , 1999, Circulation.

[117]  M. Sanguinetti,et al.  A mechanistic link between an inherited and an acquird cardiac arrthytmia: HERG encodes the IKr potassium channel , 1995, Cell.

[118]  E. Green,et al.  A molecular basis for cardiac arrhythmia: HERG mutations cause long QT syndrome , 1995, Cell.

[119]  S. Priori,et al.  Differential response to Na+ channel blockade, beta-adrenergic stimulation, and rapid pacing in a cellular model mimicking the SCN5A and HERG defects present in the long-QT syndrome. , 1996, Circulation research.

[120]  W. Giles,et al.  Delayed rectifier K+ current in rabbit atrial myocytes. , 1995, The American journal of physiology.

[121]  S. Priori,et al.  Association of Long QT Syndrome Loci and Cardiac Events Among Patients Treated With β-Blockers , 2004 .

[122]  David S. Rosenbaum,et al.  Role of Calcium Cycling Versus Restitution in the Mechanism of Repolarization Alternans , 2004, Circulation research.

[123]  M R Gold,et al.  A comparison of T-wave alternans, signal averaged electrocardiography and programmed ventricular stimulation for arrhythmia risk stratification. , 2000, Journal of the American College of Cardiology.

[124]  A. Winfree,et al.  Electrical turbulence in three-dimensional heart muscle. , 1994, Science.

[125]  A. Grant,et al.  Abnormal cardiac Na(+) channel properties and QT heart rate adaptation in neonatal ankyrin(B) knockout mice. , 2000, Circulation research.

[126]  R. Gilmour,et al.  Biphasic restitution of action potential duration and complex dynamics in ventricular myocardium. , 1995, Circulation research.

[127]  H M Hastings,et al.  Mechanisms for Discordant Alternans , 2001, Journal of cardiovascular electrophysiology.

[128]  R. Peters,et al.  Effects of Selective Autonomic Blockade on T-Wave Alternans in Humans , 2002, Circulation.

[129]  S. Subramony,et al.  Mutations in Kir2.1 Cause the Developmental and Episodic Electrical Phenotypes of Andersen's Syndrome , 2001, Cell.

[130]  Restitution, Ventricular Fibrillation, and Drugs: Where Are We Now? , 2002, Journal of cardiovascular electrophysiology.

[131]  C. Antzelevitch,et al.  Differential effects of beta-adrenergic agonists and antagonists in LQT1, LQT2 and LQT3 models of the long QT syndrome. , 2000, Journal of the American College of Cardiology.

[132]  M. Yokoyama,et al.  Determinant of microvolt-level T-wave alternans in patients with dilated cardiomyopathy. , 1999, Journal of the American College of Cardiology.

[133]  E. Braunwald Shattuck lecture--cardiovascular medicine at the turn of the millennium: triumphs, concerns, and opportunities. , 1997, The New England journal of medicine.

[134]  Wataru Shimizu,et al.  Brugada syndrome: report of the second consensus conference. , 2005, Heart rhythm.

[135]  R. Gilmour,et al.  Dynamic restitution of action potential duration during electrical alternans and ventricular fibrillation. , 1998, The American journal of physiology.

[136]  J. C. Bailey,et al.  Action potential duration alternans in dog Purkinje and ventricular muscle fibers. Further evidence in support of two different mechanisms. , 1989, Circulation.

[137]  I. Maia,et al.  Electrical behavior of T-wave polarity alternans in patients with congenital long QT syndrome. , 2000, Journal of the American College of Cardiology.

[138]  A J Moss,et al.  ECG features of microvolt T-wave alternans in coronary artery disease and long QT syndrome patients. , 1998, Journal of electrocardiology.

[139]  Guy Salama,et al.  Simultaneous maps of optical action potentials and calcium transients in guinea‐pig hearts: mechanisms underlying concordant alternans , 2000, The Journal of physiology.

[140]  S. Narayan T-wave alternans and the susceptibility to ventricular arrhythmias. , 2006, Journal of the American College of Cardiology.

[141]  G. Landes,et al.  Positional cloning of a novel potassium channel gene: KVLQT1 mutations cause cardiac arrhythmias , 1996, Nature Genetics.

[142]  Y Rudy,et al.  Action potential and contractility changes in [Na(+)](i) overloaded cardiac myocytes: a simulation study. , 2000, Biophysical journal.

[143]  B. Surawicz,et al.  Cycle length-dependent action potential duration in canine cardiac Purkinje fibers. , 1984, The American journal of physiology.

[144]  Robert F Gilmour,et al.  Ionic mechanism of electrical alternans. , 2002, American journal of physiology. Heart and circulatory physiology.

[145]  J. Brugada,et al.  Idiopathic Short QT Interval:A New Clinical Syndrome? , 2001, Cardiology.

[146]  D. T. Kaplan,et al.  Is fibrillation chaos? , 1990, Circulation research.

[147]  A. Moss,et al.  T wave alternans in idiopathic long QT syndrome. , 1994, Journal of the American College of Cardiology.

[148]  A. Zaza,et al.  Diverse Toxicity Associated with Cardiac Na+/K+ Pump Inhibition: Evaluation of Electrophysiological Mechanisms , 2003, Journal of Pharmacology and Experimental Therapeutics.

[149]  M. Franz,et al.  Cycle length dependence of human action potential duration in vivo. Effects of single extrastimuli, sudden sustained rate acceleration and deceleration, and different steady-state frequencies. , 1988, The Journal of clinical investigation.

[150]  Michael R. Guevara,et al.  Hysteresis and bistability in the direct transition from 1:1 to 2:1 rhythm in periodically driven single ventricular cells. , 1999, Chaos.

[151]  H. Tan,et al.  Genetic control of sodium channel function. , 2003, Cardiovascular research.

[152]  M. Janse,et al.  Effect of prophylactic amiodarone on mortality after acute myocardial infarction and in congestive heart failure: meta-analysis of individual data from 6500 patients in randomised trials , 1997, The Lancet.

[153]  Joshua I. Goldhaber,et al.  Action Potential Duration Restitution and Alternans in Rabbit Ventricular Myocytes: The Key Role of Intracellular Calcium Cycling , 2005, Circulation research.

[154]  Chapter 91 – T-Wave Alternans , 2004 .

[155]  Y. Rudy,et al.  Basic mechanisms of cardiac impulse propagation and associated arrhythmias. , 2004, Physiological reviews.

[156]  D. Rosenbaum,et al.  Cellular alternans as mechanism of cardiac arrhythmogenesis. , 2005, Heart rhythm.

[157]  F. Lombardi,et al.  Chaos theory, heart rate variability, and arrhythmic mortality. , 2000, Circulation.

[158]  D. Rosenbaum,et al.  Role of Structural Barriers in the Mechanism of Alternans-Induced Reentry , 2000, Circulation research.

[159]  G. Diamond,et al.  Action Potential Alternans and Irregular Dynamics in Quinidine‐Intoxicated Ventricular Muscle Cells Implications for Ventricular Proarrhythmia , 1993, Circulation.

[160]  David J. Christini,et al.  Introduction: Mapping and control of complex cardiac arrhythmias. , 2002, Chaos.

[161]  Elizabeth M Cherry,et al.  Suppression of alternans and conduction blocks despite steep APD restitution: electrotonic, memory, and conduction velocity restitution effects. , 2004, American journal of physiology. Heart and circulatory physiology.

[162]  L. Glass,et al.  Phase locking, period-doubling bifurcations, and irregular dynamics in periodically stimulated cardiac cells. , 1981, Science.

[163]  Alan Garfinkel,et al.  Electrical refractory period restitution and spiral wave reentry in simulated cardiac tissue. , 2002, American journal of physiology. Heart and circulatory physiology.

[164]  D. Rosenbaum,et al.  Occult T Wave Alternans in Long QT Syndrome , 1996, Journal of cardiovascular electrophysiology.

[165]  J. Brugada,et al.  Sudden Death Associated With Short-QT Syndrome Linked to Mutations in HERG , 2003, Circulation.

[166]  A Garfinkel,et al.  Intracellular Ca(2+) dynamics and the stability of ventricular tachycardia. , 1999, Biophysical journal.

[167]  M. Meyer,et al.  Self-affine fractal variability of human heartbeat interval dynamics in health and disease , 2003, European Journal of Applied Physiology.

[168]  J Jalife,et al.  Nonlinear dynamics of rate-dependent activation in models of single cardiac cells. , 1990, Circulation research.

[169]  D. Rosenbaum,et al.  Hysteresis Effect Implicates Calcium Cycling as a Mechanism of Repolarization Alternans , 2003, Circulation.

[170]  J. Nolasco,et al.  A graphic method for the study of alternation in cardiac action potentials. , 1968, Journal of applied physiology.

[171]  A J Moss,et al.  Spectrum of Mutations in Long-QT Syndrome Genes: KVLQT1, HERG, SCN5A, KCNE1, and KCNE2 , 2000, Circulation.

[172]  M. Keating,et al.  MiRP1 Forms IKr Potassium Channels with HERG and Is Associated with Cardiac Arrhythmia , 1999, Cell.

[173]  K. Crimin,et al.  QT Prolongation Modifies Dynamic Restitution and Hysteresis of the Beat-to-Beat QT-TQ Interval Relationship during Normal Sinus Rhythm under Varying States of Repolarization , 2006, Journal of Pharmacology and Experimental Therapeutics.

[174]  W. Shen,et al.  Catecholamine‐Provoked Microvoltage T Wave Alternans in Genotyped Long QT Syndrome , 2003, Pacing and clinical electrophysiology : PACE.

[175]  Nabil El-Sherif,et al.  Torsade de pointes , 2003, Current opinion in cardiology.

[176]  M. Josephson,et al.  Cardiac memory: mechanisms and clinical implications. , 2005, Heart rhythm.

[177]  M. Desilets,et al.  Isoproterenol directly stimulates the Na+-K+ pump in isolated cardiac myocytes. , 1986, The American journal of physiology.

[178]  Phyllis K Stein,et al.  Traditional and Nonlinear Heart Rate Variability Are Each Independently Associated with Mortality after Myocardial Infarction , 2005, Journal of cardiovascular electrophysiology.