Vectorcardiographic diagnostic & prognostic information derived from the 12-lead electrocardiogram: Historical review and clinical perspective.

In the course of time, electrocardiography has assumed several modalities with varying electrode numbers, electrode positions and lead systems. 12-lead electrocardiography and 3-lead vectorcardiography have become particularly popular. These modalities developed in parallel through the mid-twentieth century. In the same time interval, the physical concepts underlying electrocardiography were defined and worked out. In particular, the vector concept (heart vector, lead vector, volume conductor) appeared to be essential to understanding the manifestations of electrical heart activity, both in the 12-lead electrocardiogram (ECG) and in the 3-lead vectorcardiogram (VCG). Not universally appreciated in the clinic, the vectorcardiogram, and with it the vector concept, went out of use. A revival of vectorcardiography started in the 90's, when VCGs were mathematically synthesized from standard 12-lead ECGs. This facilitated combined electrocardiography and vectorcardiography without the need for a special recording system. This paper gives an overview of these historical developments, elaborates on the vector concept and seeks to define where VCG analysis/interpretation can add diagnostic/prognostic value to conventional 12-lead ECG analysis.

[1]  Laura Burattini,et al.  Comparison of Standard versus Orthogonal ECG Leads for T‐Wave Alternans Identification , 2012, Annals of noninvasive electrocardiology : the official journal of the International Society for Holter and Noninvasive Electrocardiology, Inc.

[2]  S. Mashima Theoretical considerations on the electrocardiogram of ventricular hypertrophy. , 1972, Journal of electrocardiology.

[3]  Carl Friedrich Gauss Disquisitiones generales circa superficies curvas , 1981 .

[4]  Cees A. Swenne,et al.  Improved electrocardiographic detection of hyperacute ischemia by difference vector analysis , 2013, Computing in Cardiology 2013.

[5]  P W Macfarlane,et al.  12-lead vectorcardiography in ischemic heart disease. , 1992, Journal of electrocardiology.

[6]  Jeroen J. Bax,et al.  Role of the vectorcardiogram-derived spatial QRS-T angle in diagnosing left ventricular hypertrophy. , 2012, Journal of electrocardiology.

[7]  G E Dower,et al.  Deriving the 12-lead electrocardiogram from four (EASI) electrodes. , 1988, Journal of electrocardiology.

[8]  R. P. Grant Clinical electrocardiography : the spatial vector approach , 1957 .

[9]  Juan Pablo Martínez,et al.  Methodological principles of T wave alternans analysis: a unified framework , 2005, IEEE Transactions on Biomedical Engineering.

[10]  R. McFee,et al.  An orthogonal lead system for clinical electrocardiography , 1961 .

[11]  Jan A. Kors,et al.  The Electrical T-Axis and the Spatial QRS-T Angle Are Independent Predictors of Long-Term Mortality in Patients Admitted with Acute Ischemic Chest Pain , 2004, Cardiology.

[12]  Jaakko Malmivuo,et al.  Theoretical Methods for Analyzing Volume Sources and Volume Conductors , 1995 .

[13]  Travis Winsor,et al.  Vectorcardiography: Physical bases and clinical practice , 1966 .

[14]  H. Williams ON THE CAUSE OF THE PHASE DIFFERENCE FREQUENTLY OBSERVED BETWEEN HOMONYMOUS PEAKS OF THE ELECTROCARDIOGRAM , 1914 .

[15]  F. Triposkiadis,et al.  Determinants of electrocardiographic and spatial vectorcardiographic descriptors of ventricular repolarization in normal subjects. , 2001, The American journal of cardiology.

[16]  Christopher H. Fry,et al.  Abnormal Action Potential Conduction in Isolated Human Hypertrophied Left Ventricular Myocardium , 1997, Journal of cardiovascular electrophysiology.

[17]  P. Kligfield,et al.  Electrocardiographic diagnosis of left ventricular hypertrophy by the time-voltage integral of the QRS complex. , 1994, Journal of the American College of Cardiology.

[18]  Emanuel Goldeberger Unipolar lead electrocardiography and vectorcardiography : including the standard leads, the aV and V leads, the cardiac arrhythmias and the principles of vectorcardiography , 1953 .

[19]  Jeroen J. Bax,et al.  ESC Guidelines for the management of acute coronary syndromes in patients presenting without persistent ST-segment elevation , 2012 .

[20]  A D Waller Introductory Address on the Electromotive Properties of the Human Heart , 1888, British medical journal.

[21]  E. H. Estes,et al.  A point-score system for the ECG diagnosis of left ventricular hypertrophy. , 1968, American heart journal.

[22]  O. H. Schmitt,et al.  SYMPOSIUM ON ELECTROCARDIOGRAPHY AND VECTORCARDIOGRAPHY: The Present Status of Vectorcardiography , 1955 .

[23]  D. Balzi,et al.  Should we improve the management of NSTEMI? Results from the population-based “acute myocardial infarction in Florence 2” (AMI-Florence 2) registry , 2013, Internal and Emergency Medicine.

[24]  E. C. Greco,et al.  Accuracy of advanced versus strictly conventional 12-lead ECG for detection and screening of coronary artery disease, left ventricular hypertrophy and left ventricular systolic dysfunction , 2010, BMC cardiovascular disorders.

[25]  Katerina Hnatkova,et al.  Post infarction risk stratification using the 3-D angle between QRS complex and T-wave vectors. , 2004, Journal of electrocardiology.

[26]  T. Lehtimäki,et al.  Importance of regional specificity of T-wave alternans in assessing risk for cardiovascular mortality and sudden cardiac death during routine exercise testing. , 2011, Heart rhythm.

[27]  Action potential prolongation and potassium currents in left-ventricular myocytes isolated from hypertrophied rabbit hearts. , 1998, Journal of molecular and cellular cardiology.

[28]  Franklin D. Johnston,et al.  Electrocardiograms that represent the potential variations of a single electrode , 1934 .

[29]  Jan A. Kors,et al.  How many electrodes and where? A [ldquo ]poldermodel[rdquo ] for electrocardiography , 2002 .

[30]  J. Hurst Thoughts about the ventricular gradient and its current clinical use (Part I of II) , 2005, Clinical cardiology.

[31]  E. Goldberger,et al.  A simple, indifferent, electrocardiographic electrode of zero potential and a technique of obtaining augmented, unipolar, extremity leads , 1942 .

[32]  Mark Potse,et al.  The effect of reduced intercellular coupling on electrocardiographic signs of left ventricular hypertrophy. , 2011, Journal of electrocardiology.

[33]  E. Vicaut,et al.  Immediate vs delayed intervention for acute coronary syndromes: a randomized clinical trial. , 2009, JAMA.

[34]  Ernestfrank An Accurate, Clinically Practical System For Spatial Vectorcardiography , 1956 .

[35]  D. Spodick,et al.  The Rv6:Rv5 voltage ratio in left ventricular hypertrophy. , 1962, American heart journal.

[36]  J. Camm,et al.  The cost of implantable defibrillators: perceptions and reality. , 2007, European heart journal.

[37]  J. Doherty,et al.  Reevaluation of electrocardiographic criteria for left, right and combined cardiac ventricular hypertrophy. , 1984, The American journal of cardiology.

[38]  Arie C Maan,et al.  Directionality and proportionality of the ST and ventricular gradient difference vectors during acute ischemia. , 2014, Journal of electrocardiology.

[39]  Laura Burattini,et al.  Automatic detection of microvolt T-wave alternans in Holter recordings: Effect of baseline wandering , 2006, Biomed. Signal Process. Control..

[40]  A. V. Oosterom REFLECTIONS ON T WAVES , 2005 .

[41]  L. Newby,et al.  Incidence, distribution, and prognostic impact of occluded culprit arteries among patients with non-ST-elevation acute coronary syndromes undergoing diagnostic angiography. , 2009, American heart journal.

[42]  Katerina Hnatkova,et al.  Analysis of T-Wave Morphology From the 12-Lead Electrocardiogram for Prediction of Long-Term Prognosis in Male US Veterans , 2002, Circulation.

[43]  D. Atar,et al.  ESC Guidelines for the Management of Acute Myocardial Infarction in Patients Presenting With ST-Segment Elevation , 2013 .

[44]  M. Schalij,et al.  Reconstruction of standard 12-lead electrocardiograms from 12-lead electrocardiograms recorded with the Mason-Likar electrode configuration. , 2008, Journal of electrocardiology.

[45]  M. Schalij,et al.  Increased dispersion of ventricular repolarization during recovery from exercise , 2005, Computers in Cardiology, 2005.

[46]  Martin J Schalij,et al.  Elucidation of the spatial ventricular gradient and its link with dispersion of repolarization. , 2006, Heart rhythm.

[47]  Charles Maynard,et al.  Electrocardiographic detection of right ventricular pressure overload in patients with suspected pulmonary hypertension. , 2014, Journal of electrocardiology.

[48]  M. Cutler,et al.  Explaining the clinical manifestations of T wave alternans in patients at risk for sudden cardiac death. , 2009, Heart rhythm.

[49]  A. Hofman,et al.  Spatial QRS-T angle predicts cardiac death in a general population. , 2003, European heart journal.

[50]  Martin J Schalij,et al.  The spatial QRS-T angle in the Frank vectorcardiogram: accuracy of estimates derived from the 12-lead electrocardiogram. , 2010, Journal of electrocardiology.

[51]  P. Kligfield,et al.  Electrocardiographic identification of left ventricular hypertrophy: test performance in relation to definition of hypertrophy and presence of obesity. , 1996, Journal of the American College of Cardiology.

[52]  B Milan Horáček,et al.  Difference vectors to describe dynamics of the ST segment and the ventricular gradient in acute ischemia. , 2013, Journal of electrocardiology.

[53]  Richard J Cohen,et al.  Interpretation and Classification of Microvolt T Wave Alternans Tests , 2002, Journal of cardiovascular electrophysiology.

[54]  A. Książek,et al.  Spatial QRS-T angle in peritoneal dialysis patients: association with carotid artery atherosclerosis, coronary artery calcification and troponin T. , 2008, Nephrology, dialysis, transplantation : official publication of the European Dialysis and Transplant Association - European Renal Association.

[55]  M. Malik,et al.  Prognostic significance of inverse spatial QRS-T angle circadian pattern in myocardial infarction survivors. , 2009, Journal of electrocardiology.

[56]  R. Prineas,et al.  A simple procedure for estimation of the spatial QRS/T angle from the standard 12-lead electrocardiogram. , 2007, Journal of electrocardiology.

[57]  R. E. Mason,et al.  A new system of multiple-lead exercise electrocardiography. , 1966, American heart journal.

[58]  G. Tomaselli,et al.  Electrophysiological remodeling in hypertrophy and heart failure. , 1999, Cardiovascular research.

[59]  Richard L. Verrier,et al.  Combined assessment of heart rate recovery and T-wave alternans during routine exercise testing improves prediction of total and cardiovascular mortality: the Finnish Cardiovascular Study. , 2009, Heart rhythm.

[60]  W. Serber,et al.  ELECTROCARDIOGRAPHIC CRITERIA OF LEFT VENTRICULAR HYPERTROPHY , 1952, The American journal of the medical sciences.

[61]  Arie C Maan,et al.  Beats: An interactive research oriented ECG analysis system , 2010, 2010 Computing in Cardiology.

[62]  H. C. Burger,et al.  A theoretical elucidation of the notion ventricular gradient. , 1957, American heart journal.

[63]  C. Owens,et al.  Early detection of acute posterior myocardial infarction using body surface mapping and SPECT scanning , 2010, Coronary artery disease.

[64]  H. Lamb,et al.  Body fat, especially visceral fat, is associated with electrocardiographic measures of sympathetic activation , 2014, Obesity.

[65]  Lucas M Bachmann,et al.  Accuracy of electrocardiography in diagnosis of left ventricular hypertrophy in arterial hypertension: systematic review , 2007, BMJ : British Medical Journal.

[66]  P. Kligfield,et al.  ECG identification of left ventricular hypertrophy. Relationship of test performance to body habitus. , 1996, Journal of electrocardiology.

[67]  Dirk Q Feild,et al.  Improved EASI coefficients: their derivation, values, and performance. , 2002, Journal of electrocardiology.

[68]  M.J. Schalij,et al.  LEADS: an interactive research oriented ECG/VCG analysis system , 2005, Computers in Cardiology, 2005.

[69]  J A Kors,et al.  Methodology of the Modular ECG Analysis System MEANS , 1990, Methods of Information in Medicine.

[70]  Laura Burattini,et al.  Automatic microvolt T-wave alternans identification in relation to ECG interferences surviving preprocessing. , 2011, Medical engineering & physics.

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

[72]  James W Warren,et al.  On designing and testing transformations for derivation of standard 12-lead/18-lead electrocardiograms and vectorcardiograms from reduced sets of predictor leads. , 2008, Journal of electrocardiology.

[73]  J. L. Willems,et al.  Comparison of the classification ability of the electrocardiogram and vectorcardiogram. , 1987, The American journal of cardiology.

[74]  S. Priori,et al.  Evaluation of the spatial aspects of T-wave complexity in the long-QT syndrome. , 1997, Circulation.

[75]  M. Cerqueira,et al.  Standardized myocardial segmentation and nomenclature for tomographic imaging of the heart. A statement for healthcare professionals from the Cardiac Imaging Committee of the Council on Clinical Cardiology of the American Heart Association. , 2002, Journal of nuclear cardiology : official publication of the American Society of Nuclear Cardiology.

[76]  T. Lehtimäki,et al.  The Finnish Cardiovascular Study (FINCAVAS): characterising patients with high risk of cardiovascular morbidity and mortality , 2006, BMC cardiovascular disorders.

[77]  A. Mateášik,et al.  Secondary and primary repolarization changes in left ventricular hypertrophy: a model study. , 2010, Journal of electrocardiology.

[78]  F. Triposkiadis,et al.  The spatial QRS-T angle as a marker of ventricular repolarisation in hypertension , 2001, Journal of Human Hypertension.

[79]  D. Searls,et al.  Serial Electrocardiographic Changes in Treated Hypertensive Patients with Reference to Voltage Criteria, Mean QRS Vectors, and the QRS‐T Angle , 1967, Circulation.

[80]  Ronald J. Prineas,et al.  The Minnesota Code Manual of Electrocardiographic Findings , 2009 .

[81]  R. Mosteller Simplified calculation of body-surface area. , 1987, The New England journal of medicine.

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

[83]  W. Einthoven,et al.  Über die Richtung und die manifeste Grösse der Potentialschwankungen im menschlichen Herzen und über den Einfluss der Herzlage auf die Form des Elektrokardiogramms , 1913, Pflüger's Archiv für die gesamte Physiologie des Menschen und der Tiere.

[84]  W. Einthoven,et al.  On the direction and manifest size of the variations of potential in the human heart and on the influence of the position of the heart on the form of the electrocardiogram. , 1950, American heart journal.

[85]  Heart-vector and leads; geometrical representation. , 1948, British heart journal.

[86]  M. Alpert,et al.  Sensitivity and specificity of electrocardiographic criteria for left and right ventricular hypertrophy in morbid obesity. , 1988, The American journal of cardiology.

[87]  M. de Belder Interventional management of acute coronary syndromes: applying the lessons of ST-elevation services to non-ST-elevation myocardial infarction , 2012, Heart.

[88]  J. J. Wallace,et al.  THE UNIPOLAR ELECTROCARDIOGRAM. A CLINICAL INTERPRETATION , 1954 .

[89]  Paula Corabian,et al.  Accuracy and reliability of using computerized interpretation of electrocardiograms for routine examinations , 2002 .

[90]  J. von der Groeben SPECIAL ARTICLE Decision Rules in Electrocardiography and Vectorcardiography , 1967 .

[91]  Wenji Pu,et al.  Does microvolt T-wave alternans testing predict ventricular tachyarrhythmias in patients with ischemic cardiomyopathy and prophylactic defibrillators? The MASTER (Microvolt T Wave Alternans Testing for Risk Stratification of Post-Myocardial Infarction Patients) trial. , 2008, Journal of the American College of Cardiology.

[92]  A. Mateášik,et al.  Effect of changes in left ventricular anatomy and conduction velocity on the QRS voltage and morphology in left ventricular hypertrophy: a model study. , 2010, Journal of electrocardiology.

[93]  O. Pahlm,et al.  Vectorcardiogram synthesized from a 12-lead ECG: superiority of the inverse Dower matrix. , 1988, Journal of electrocardiology.

[94]  Richard B Devereux,et al.  Recommendations for chamber quantification: a report from the American Society of Echocardiography's Guidelines and Standards Committee and the Chamber Quantification Writing Group, developed in conjunction with the European Association of Echocardiography, a branch of the European Society of Cardio , 2005, Journal of the American Society of Echocardiography : official publication of the American Society of Echocardiography.

[95]  P. Poole‐Wilson,et al.  Reduced content of connexin43 gap junctions in ventricular myocardium from hypertrophied and ischemic human hearts. , 1993, Circulation.

[96]  Franklin D. Johnston,et al.  The determination and the significance of the areas of the ventricular deflections of the electrocardiogram , 1934 .

[97]  P. Mansier,et al.  Cardiac hypertrophy, arrhythmogenicity and the new myocardial phenotype. II. The cellular adaptational process. , 1997, Cardiovascular research.

[98]  R. C. Scott,et al.  A Critical Appraisal of the Electrocardiographic Criteria for the Diagnosis of Left Ventricular Hypertrophy , 1969, Circulation.

[99]  P W Macfarlane,et al.  Methodology of ECG Interpretation in the Glasgow Program , 1990, Methods of Information in Medicine.

[100]  O. Pahlm,et al.  Common pitfalls in the interpretation of electrocardiograms from patients with acute coronary syndromes with narrow QRS: a consensus report. , 2012, Journal of electrocardiology.

[101]  D. Mark,et al.  Role of Microvolt T-Wave Alternans in Assessment of Arrhythmia Vulnerability Among Patients With Heart Failure and Systolic Dysfunction: Primary Results From the T-Wave Alternans Sudden Cardiac Death in Heart Failure Trial Substudy , 2008, Circulation.

[102]  Arie C Maan,et al.  Assessment of signal quality and electrode placement in ECGs using a reconstruction matrix , 2011, 2011 Computing in Cardiology.

[103]  M. Schalij,et al.  Early changes in rat hearts with developing pulmonary arterial hypertension can be detected with three-dimensional electrocardiography. , 2007, American journal of physiology. Heart and circulatory physiology.

[104]  John P. Wikswo,et al.  Consistent system of rectangular and spherical co-ordinates for electrocardiography and magnetocardiography , 1977, Medical and Biological Engineering and Computing.

[105]  P. Kala,et al.  Comparison of outcomes in ST-segment depression and ST-segment elevation myocardial infarction patients treated with emergency PCI: data from a multicentre registry , 2012, Cardiovascular journal of Africa.

[106]  Nandini Dendukuri,et al.  Microvolt T-wave alternans as a predictor of mortality and severe arrhythmias in patients with left-ventricular dysfunction: a systematic review and meta-analysis , 2009, BMC Cardiovascular Disorders.

[107]  Laura Burattini,et al.  Comparative analysis of methods for automatic detection and quantification of microvolt T-wave alternans. , 2009, Medical engineering & physics.

[108]  Arie C Maan,et al.  Normal limits of the spatial QRS-T angle and ventricular gradient in 12-lead electrocardiograms of young adults: dependence on sex and heart rate. , 2008, Journal of electrocardiology.

[109]  H. Pipberger,et al.  The Corrected Orthogonal Electrocardiogram and Vectorcardiogram in 510 Normal Men (Frank Lead System) , 1964, Circulation.

[110]  Piotr Augustyniak ON THE EQUIVALENCE OF THE 12-LEAD ECG AND THE VCG REPRESENTATIONS OF THE CARDIAC ELECTRICAL ACTIVITY , 2001 .

[111]  H. Rasmussen,et al.  Prevalence of coronary occlusion and outcome of an immediate invasive strategy in suspected acute myocardial infarction with and without ST-segment elevation. , 2002, The American journal of cardiology.

[112]  A. Wilde,et al.  Incremental prognostic value of an abnormal baseline spatial QRS-T angle in chronic dialysis patients. , 2013, Europace : European pacing, arrhythmias, and cardiac electrophysiology : journal of the working groups on cardiac pacing, arrhythmias, and cardiac cellular electrophysiology of the European Society of Cardiology.

[113]  Jeroen J. Bax,et al.  Predicting Ventricular Arrhythmias in Patients With Ischemic Heart Disease: Clinical Application of the ECG-Derived QRS-T Angle , 2009, Circulation. Arrhythmia and electrophysiology.

[114]  E. Braunwald The rise of cardiovascular medicine. , 2012, European heart journal.

[115]  J. Ioannidis,et al.  Optimal timing of coronary angiography and potential intervention in non-ST-elevation acute coronary syndromes , 2012 .

[116]  G. Burch,et al.  The History of Electrocardiography , 2021, Clinical Electrocardiography.

[117]  G. Hart Cellular electrophysiology in cardiac hypertrophy and failure. , 1994, Cardiovascular research.

[118]  F. Triposkiadis,et al.  The effects of cigarette smoking on the heterogeneity of ventricular repolarization. , 2001, American heart journal.

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

[120]  A. Waller A Demonstration on Man of Electromotive Changes accompanying the Heart's Beat , 1887, Annals of noninvasive electrocardiology : the official journal of the International Society for Holter and Noninvasive Electrocardiology, Inc.

[121]  D. Levy,et al.  Improved detection of echocardiographic left ventricular hypertrophy using a new electrocardiographic algorithm. , 1993, Journal of the American College of Cardiology.

[122]  J. Ménard,et al.  Influence of obesity on the diagnostic value of electrocardiographic criteria for detecting left ventricular hypertrophy. , 1996, The American journal of cardiology.

[123]  A. Hofman,et al.  Spatial QRS-T angle as a risk indicator of cardiac death in an elderly population. , 2003, Journal of electrocardiology.

[124]  D. O'Gorman,et al.  Hypertrophy causes delayed conduction in human and guinea pig myocardium: accentuation during ischaemic perfusion. , 1994, Cardiovascular research.

[125]  H. Mann A METHOD OF ANALYZING THE ELECTROCARDIOGRAM , 1920 .

[126]  Laura Burattini,et al.  Predictive power of T-wave alternans and of ventricular gradient hysteresis for the occurrence of ventricular arrhythmias in primary prevention cardioverter-defibrillator patients. , 2011, Journal of electrocardiology.

[127]  G. Dower,et al.  On Deriving the Electrocardiogram from Vectorcardiographic Leads , 1980, Clinical cardiology.

[128]  G. Wagner,et al.  New considerations of ST segment "elevation" and "depression" and accompanying T wave configuration in acute coronary syndromes. , 2011, Journal of electrocardiology.

[129]  David S. Rosenbaum,et al.  Mechanoelectrical Feedback as Novel Mechanism of Cardiac Electrical Remodeling , 2007, Circulation.

[130]  A. LaCroix,et al.  Electrocardiographic Abnormalities That Predict Coronary Heart Disease Events and Mortality in Postmenopausal Women: The Women’s Health Initiative , 2006, Circulation.

[131]  Dan M Roden,et al.  [Guidelines for management of patients with ventricular arrhythmias and the prevention of sudden cardiac death. Executive summary]. , 2006, Revista espanola de cardiologia.

[132]  Charles C. Wolferth,et al.  Standardization of precordial leads , 1938 .

[133]  Mari A. Watanabe,et al.  Mathematical analysis of dynamics of cardiac memory and accommodation: theory and experiment. , 2002, American journal of physiology. Heart and circulatory physiology.

[134]  M. Schalij,et al.  Acute coronary syndrome with a totally occluded culprit artery: relation of the ST injury vector with ST-elevation and non-ST elevation ECGs. , 2014, Journal of electrocardiology.

[135]  C Ceriotti,et al.  Mapping of ventricular repolarization potentials in patients with arrhythmogenic right ventricular dysplasia: principal component analysis of the ST-T waves. , 1997, Circulation.

[136]  M. Sokolow,et al.  The ventricular complex in left ventricular hypertrophy as obtained by unipolar precordial and limb leads. , 1949, American heart journal.

[137]  E. W. Hancock,et al.  AHA/ACCF/HRS recommendations for the standardization and interpretation of the electrocardiogram: part V: electrocardiogram changes associated with cardiac chamber hypertrophy: a scientific statement from the American Heart Association Electrocardiography and Arrhythmias Committee, Council on Clinic , 2009, Journal of the American College of Cardiology.

[138]  R. Verrier,et al.  Modified moving average analysis of T-wave alternans to predict ventricular fibrillation with high accuracy. , 2002, Journal of applied physiology.

[139]  J. L. Willems,et al.  The diagnostic performance of computer programs for the interpretation of electrocardiograms. , 1992, The New England journal of medicine.

[140]  A. Sittig,et al.  Reconstruction of the Frank vectorcardiogram from standard electrocardiographic leads: diagnostic comparison of different methods. , 1990, European heart journal.

[141]  A. Kadish,et al.  Prognostic Value and Temporal Behavior of the Planar QRS-T Angle in Patients With Nonischemic Cardiomyopathy , 2008, Circulation.

[142]  E. Soliman,et al.  Comparison of the prognostic significance of the electrocardiographic QRS/T angles in predicting incident coronary heart disease and total mortality (from the atherosclerosis risk in communities study). , 2007, The American journal of cardiology.

[143]  J. C. Christiansen,et al.  Determinants of sensitivity and specificity of electrocardiographic criteria for left ventricular hypertrophy. , 1990, Circulation.

[144]  H. C. Burger,et al.  HEART-VECTOR AND LEADS. , 1946, British heart journal.

[145]  P. Okin,et al.  Effect of obesity on electrocardiographic left ventricular hypertrophy in hypertensive patients : the losartan intervention for endpoint (LIFE) reduction in hypertension study. , 2000, Hypertension.

[146]  J. Hurst Thoughts about the ventricular gradient and its current clinical use (part II of II) , 2005, Clinical cardiology.

[147]  H. C. Burger,et al.  HEART-VECTOR AND LEADS. , 1948, British heart journal.

[148]  M. Cooklin,et al.  Changes in cell-to-cell electrical coupling associated with left ventricular hypertrophy. , 1997, Circulation research.

[149]  J A Kors,et al.  Improvement of automated electrocardiographic diagnosis by combination of computer interpretations of the electrocardiogram and vectorcardiogram. , 1992, The American journal of cardiology.

[150]  Nandita Sharma,et al.  Visual transform applications for estimating the spatial QRS-T angle from the conventional 12-lead ECG: Kors is still most Frank. , 2014, Journal of electrocardiology.

[151]  Robert Plonsey,et al.  Bioelectromagnetism: Principles and Applications of Bioelectric and Biomagnetic Fields , 1995 .

[152]  J A Kors,et al.  Minimal lead sets for reconstruction of 12-lead electrocardiograms. , 2000, Journal of electrocardiology.

[153]  H J Mengden,et al.  [Computer analysis of the electrocardiogram]. , 1977, Deutsche medizinische Wochenschrift.

[154]  Dariusz Janusek,et al.  Evaluation of the T-wave alternans detection methods: a simulation study. , 2007, Anadolu kardiyoloji dergisi : AKD = the Anatolian journal of cardiology.

[155]  R. Rosenman,et al.  The aV limb leads in the diagnosis of ventricular strain. , 1950, American heart journal.

[156]  Lars Edenbrandt,et al.  12 LEAD VECTORCARDIOGRAPHY , 1995 .

[157]  M. Earing,et al.  Timing and technique of pulmonary valve replacement in the patient with tetralogy of Fallot. , 2012, Seminars in thoracic and cardiovascular surgery. Pediatric cardiac surgery annual.

[158]  Noboru Okamoto,et al.  Diagnostic accuracy of the vectorcardiogram and electrocardiogram: A cooperative study , 1966 .

[159]  Professor Herman Burger (1893-1965), eminent teacher and scientist, who laid the theoretical foundations of vectorcardiography--and electrocardiography. , 2014 .

[160]  M. P. Andersen,et al.  The ST injury vector: electrocardiogram-based estimation of location and extent of myocardial ischemia. , 2010, Journal of electrocardiology.

[161]  H V Pipberger,et al.  Correlations of the Orthogonal Electrocardiogram and Vectorcardiogram with Constitutional Variables in 518 Normal Men , 1967, Circulation.

[162]  Usefulness of T-wave loop and QRS complex loop to predict mortality after acute myocardial infarction. , 2006, The American journal of cardiology.

[163]  Charles C. Wolferth,et al.  THE ELECTROCARDIOGRAPHIC DIAGNOSIS OF CORONARY OCCULUSION BY THE USE OF CHEST LEADS , 1932 .

[164]  E. Frank The image surface of a homogeneous torso. , 1954, American heart journal.

[165]  Paul J. Wang,et al.  Spatial QRS-T angle predicts cardiac death in a clinical population. , 2005, Heart rhythm.

[166]  O. H. Schmitt,et al.  Report of committee on electrocardiography, American Heart Association. Recommendations for standardization of leads and of specifications for instruments in electrocardiography and vectorcardiography. , 1967, Circulation.

[167]  Laura Burattini,et al.  Assessment of Physiological Amplitude, Duration, and Magnitude of ECG T‐Wave Alternans , 2009, Annals of noninvasive electrocardiology : the official journal of the International Society for Holter and Noninvasive Electrocardiology, Inc.

[168]  A. Waller On the Electromotive Changes Connected with the Beat of the Mammalian Heart, and of the Human Heart in Particular , 1889 .

[169]  L. Bacharova Electrical and Structural Remodeling in Left Ventricular Hypertrophy—A Substrate for a Decrease in QRS Voltage? , 2007, Annals of noninvasive electrocardiology : the official journal of the International Society for Holter and Noninvasive Electrocardiology, Inc.

[170]  G. van Herpen,et al.  How many electrodes and where? A "poldermodel" for electrocardiography. , 2002, Journal of electrocardiology.

[171]  Laura Burattini,et al.  Adaptive Match Filter Based Method for Time vs. Amplitude Characterization of Microvolt ECG T-Wave Alternans , 2008, Annals of Biomedical Engineering.

[172]  Ch. L. Levkov,et al.  Orthogonal electrocardiogram derived from the limb and chest electrodes of the conventional 12-lead system , 1987, Medical and Biological Engineering and Computing.

[173]  A. Gorgels,et al.  ST-elevation and non-ST-elevation acute coronary syndromes: should the guidelines be changed? , 2013, Journal of electrocardiology.

[174]  Franklin D. Johnston,et al.  The precordial electrocardiogram , 1935 .

[175]  J A BOONE,et al.  The vectorcardiogram. , 1957, Journal of the South Carolina Medical Association.