Cardiac Arrhythmia Termination on the Vascular and Organ Scale

Sudden cardiac death, caused by ventricular fibrillation, is a leading cause of mortality. To date, the only treatment is the delivery of a high-energy electrical shock through the heart, either externally or through implanted devices. Although potentially life- saving, these shocks can be painful and traumatic for patients, especially when delivered due to diagnostic errors or device malfunctions. A promising new method to terminate ventricular fibrillation more gently is Low Energy Antifibrillation Pacing (LEAP). LEAP applies a series of pulses at low electric field strengths, thereby exciting the heart muscle locally at many different locations and synchronizing the tissue. In this work I show that this excitation takes place at the cardiac vasculature and that LEAP leads to substantial energy reductions. With the use of a micro-CT scanner, I obtained three- dimensional data of cardiac vasculature of dogs and pigs and quantified the vessel sizes with a custom-developed algorithm. I found that the size distribution of the coronary vasculature follows a power law that can be transformed into a prediction of the dynamic behavior of cardiac tissue. To assess the efficiency of LEAP in clinically relevant settings, I performed in vivo and ex vivo experiments on porcine and canine hearts. On average, the defibrillation energy using LEAP could be decreased by up to 70 % compared to the respective single shock energy. Pacing slower than the dominant fibrillatory frequency was more efficient than faster pacing, which supports the hypothesis that direct access to fibrillation vortex cores via heterogeneities is essential to LEAP success.

[1]  C. D. Murray THE PHYSIOLOGICAL PRINCIPLE OF MINIMUM WORK APPLIED TO THE ANGLE OF BRANCHING OF ARTERIES , 1926, The Journal of general physiology.

[2]  C. D. Murray THE PHYSIOLOGICAL PRINCIPLE OF MINIMUM WORK , 1931, The Journal of general physiology.

[3]  A ROSENBLUETH,et al.  The mathematical formulation of the problem of conduction of impulses in a network of connected excitable elements, specifically in cardiac muscle. , 1946, Archivos del Instituto de Cardiologia de Mexico.

[4]  A. Guyton,et al.  Textbook of Medical Physiology , 1961 .

[5]  R. FitzHugh Impulses and Physiological States in Theoretical Models of Nerve Membrane. , 1961, Biophysical journal.

[6]  J. Tepperman,et al.  Effects of Exercise and Anemia on Coronary Arteries of Small Animals as Revealed by the Corrosion‐Cast Technique , 1961, Circulation research.

[7]  W. R. Stahl,et al.  Scaling of respiratory variables in mammals. , 1967, Journal of applied physiology.

[8]  D. Durrer,et al.  Total Excitation of the Isolated Human Heart , 1970, Circulation.

[9]  医療政策委員会 Concentration wave propagation in two-dimensional liquid-phase self-oscillating system , 1970 .

[10]  R. M. Noyes,et al.  Oscillations in chemical systems. II. Thorough analysis of temporal oscillation in the bromate-cerium-malonic acid system , 1972 .

[11]  N. A. Edwards Scaling of renal functions in mammals. , 1975, Comparative biochemistry and physiology. A, Comparative physiology.

[12]  D. Ullyot,et al.  Myocardial protection with cold, ischemic, potassium-induced cardioplegia. , 1977, The Journal of thoracic and cardiovascular surgery.

[13]  C. Babbs,et al.  Temporal stability and precision of ventricular defibrillation threshold data. , 1978, The American journal of physiology.

[14]  A. Winfree The geometry of biological time , 1991 .

[15]  Robert Plonsey,et al.  The Four-Electrode Resistivity Technique as Applied to Cardiac Muscle , 1982, IEEE Transactions on Biomedical Engineering.

[16]  R. Kerber,et al.  Effect of ischemia, hypertrophy, hypoxia, acidosis, and alkalosis on canine defibrillation. , 1983, The American journal of physiology.

[17]  V. Krinsky,et al.  Interaction of rotating waves in an active chemical medium , 1983 .

[18]  J. C. Bailey,et al.  Effects of Acetylcholine on Action Potential Characteristics of Atrial and Ventricular Myocardium after Bilateral Cervical Vagotomy in the Cat , 1985, Circulation research.

[19]  L M Loew,et al.  Spectra, membrane binding, and potentiometric responses of new charge shift probes. , 1985, Biochemistry.

[20]  J. Bristow,et al.  A quantitative study of the anatomy and distribution of coronary arteries in swine in comparison with other animals and man. , 1986, Cardiovascular research.

[21]  A. T. Winfree,et al.  Simulation of Wave Processes in Excitable Media , 1988 .

[22]  J. Tyson,et al.  Cyclic AMP waves during aggregation of Dictyostelium amoebae. , 1989, Development.

[23]  P. Devreotes Dictyostelium discoideum: a model system for cell-cell interactions in development. , 1989, Science.

[24]  John J. Tyson,et al.  Spiral waves of cyclic amp in a model of slime mold aggregation , 1989 .

[25]  W. M. Haynes CRC Handbook of Chemistry and Physics , 1990 .

[26]  G. Guiraudon,et al.  Reduction in defibrillator shocks with an implantable device combining antitachycardia pacing and shock therapy. , 1991, Journal of the American College of Cardiology.

[27]  G. Klein,et al.  Defibrillation efficacy. Comparison of defibrillation threshold versus dose-response curve determination. , 1991, Circulation research.

[28]  D. Barkley A model for fast computer simulation of waves in excitable media , 1991 .

[29]  D. Lang,et al.  Defibrillation Threshold: Clinical Utility and Therapeutic Implications , 1992, Pacing and clinical electrophysiology : PACE.

[30]  S. Saksena Defibrillation thresholds and perioperative mortality associated with endocardial and epicardial defibrillation lead systems. The PCD investigators and participating institutions. , 1993, Pacing and clinical electrophysiology : PACE.

[31]  G S Kassab,et al.  Morphometry of pig coronary arterial trees. , 1993, The American journal of physiology.

[32]  M. Eiswirth,et al.  Turbulence due to spiral breakup in a continuous excitable medium. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[33]  Rangasami L. Kashyap,et al.  Building Skeleton Models via 3-D Medial Surface/Axis Thinning Algorithms , 1994, CVGIP Graph. Model. Image Process..

[34]  José Jalife,et al.  Anchoring of vortex filaments in 3D excitable media , 1994 .

[35]  Krinsky,et al.  Quenching a rotating vortex in an excitable medium. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[36]  Mark A. Wood,et al.  Cardiac Pacing and ICDs , 1996 .

[37]  M. Kroll,et al.  Implantable Cardioverter Defibrillator Therapy: The Engineering-Clinical Interface , 2012, Developments in Cardiovascular Medicine.

[38]  A. T. Winfree,et al.  Quantitative optical tomography of chemical waves and their organizing centers. , 1996, Chaos.

[39]  D. Lang,et al.  The Defibrillation Threshold , 1996 .

[40]  Defining the Defibrillation Dosage , 1996 .

[41]  S. Dillon,et al.  On the mechanism of ventricular defibrillation. , 1997, Pacing and clinical electrophysiology : PACE.

[42]  R. C. Susil,et al.  A generalized activating function for predicting virtual electrodes in cardiac tissue. , 1997, Biophysical journal.

[43]  James H. Brown,et al.  A General Model for the Origin of Allometric Scaling Laws in Biology , 1997, Science.

[44]  Henry S. Greenside,et al.  Size-Dependent Transition to High-Dimensional Chaotic Dynamics in a Two-Dimensional Excitable Medium , 1997, chao-dyn/9710006.

[45]  M. Fishler Syncytial Heterogeneity as a Mechanism Underlying Cardiac Far‐Field Stimulation During Defibrillation‐Level Shocks , 1998, Journal of cardiovascular electrophysiology.

[46]  M. Sheppard,et al.  Localisation and quantitation of autonomic innervation in the porcine heart I: conduction system , 1999, Journal of anatomy.

[47]  G S Kassab,et al.  On the design of the coronary arterial tree: a generalization of Murray's law , 1999 .

[48]  V. Krinsky,et al.  Unpinning of a rotating wave in cardiac muscle by an electric field. , 1999, Journal of theoretical biology.

[49]  A. Bernstein,et al.  Patients' Attitudes Toward Implanted Defibrillator Shocks , 2000, Pacing and clinical electrophysiology : PACE.

[50]  I. Johnson,et al.  Chemical and physiological characterization of fluo-4 Ca(2+)-indicator dyes. , 2000, Cell calcium.

[51]  A Garfinkel,et al.  Electrophysiological heterogeneity and stability of reentry in simulated cardiac tissue. , 2001, American journal of physiology. Heart and circulatory physiology.

[52]  R. Ideker,et al.  Mechanism of Ventricular Defibrillation for Near-Defibrillation Threshold Shocks: A Whole-Heart Optical Mapping Study in Swine , 2001, Circulation.

[53]  Michael O. Sweeney,et al.  Shock Reduction Using Antitachycardia Pacing for Spontaneous Rapid Ventricular Tachycardia in Patients With Coronary Artery Disease , 2001, Circulation.

[54]  Judy Powell,et al.  Quality of Life in the Antiarrhythmics Versus Implantable Defibrillators Trial: Impact of Therapy and Influence of Adverse Symptoms and Defibrillator Shocks , 2002, Circulation.

[55]  I. Farkas,et al.  Social behaviour: Mexican waves in an excitable medium , 2002, Nature.

[56]  J. Conti,et al.  QUALITY OF LIFE AND PSYCHOLOGICAL FUNCTIONING OF ICD PATIENTS , 2002, Heart.

[57]  Alvin Shrier,et al.  Spiral wave generation in heterogeneous excitable media. , 2002, Physical review letters.

[58]  R. Hauer,et al.  Implantable cardioverter defibrillator recipients: quality of life in recipients with and without ICD shock delivery: a prospective study. , 2003, 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.

[59]  Raymond E Ideker,et al.  Do clinically relevant transthoracic defibrillation energies cause myocardial damage and dysfunction? , 2003, Resuscitation.

[60]  A. Garfinkel,et al.  Mother Rotors and the Mechanisms of D600-Induced Type 2 Ventricular Fibrillation , 2004, Circulation.

[61]  Paul Dorian,et al.  A randomized trial comparing monophasic and biphasic waveform shocks for external cardioversion of atrial fibrillation. , 2004, American heart journal.

[62]  G. Salama,et al.  A naphthyl analog of the aminostyryl pyridinium class of potentiometric membrane dyes shows consistent sensitivity in a variety of tissue, cell, and model membrane preparations , 1992, The Journal of Membrane Biology.

[63]  M. Anastasiou-Nana,et al.  Time course of fibrillation and defibrillation thresholds after an intravenous bolus of amiodarone--an experimental study. , 2004, Resuscitation.

[64]  L. V. Reshodko,et al.  Computer simulation of reverberating spreading depression in a network of cell automata , 1975, Biological Cybernetics.

[65]  G. Bett,et al.  Computer model of action potential of mouse ventricular myocytes. , 2004, American journal of physiology. Heart and circulatory physiology.

[66]  V. Fast,et al.  Simultaneous optical imaging of membrane potential and intracellular calcium. , 2005, Journal of electrocardiology.

[67]  A. Curtis,et al.  The Defibrillation Safety Margin of Patients Receiving ICDs: A Matter of Definition , 2005, Pacing and clinical electrophysiology : PACE.

[68]  M. Sweeney,et al.  Appropriate and Inappropriate Ventricular Therapies, Quality of Life, and Mortality Among Primary and Secondary Prevention Implantable Cardioverter Defibrillator Patients: Results From the Pacing Fast VT REduces Shock ThErapies (PainFREE Rx II) Trial , 2005, Circulation.

[69]  Alvin Shrier,et al.  The role of heterogeneities and intercellular coupling in wave propagation in cardiac tissue , 2006, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[70]  G. Kassab Scaling laws of vascular trees: of form and function. , 2006, American journal of physiology. Heart and circulatory physiology.

[71]  K. Sevre,et al.  Handbook of cardiac anatomy, physiology, and devices , 2006 .

[72]  Alexander V Panfilov,et al.  Is heart size a factor in ventricular fibrillation? Or how close are rabbit and human hearts? , 2006, Heart rhythm.

[73]  T. Vicsek,et al.  Initiating a Mexican Wave: An Instantaneous Collective Decision With Both Short and Long Range Interactions , 2006, physics/0601181.

[74]  H. Arntz,et al.  How Sudden Is Sudden Cardiac Death? , 2006, Circulation.

[75]  Qingfen Lin,et al.  Identification of the main arterial branches by whole‐body contrast‐enhanced MRA in elderly subjects using limited user interaction and fast marching , 2007, Journal of magnetic resonance imaging : JMRI.

[76]  M. Valderrábano,et al.  Influence of anisotropic conduction properties in the propagation of the cardiac action potential. , 2007, Progress in biophysics and molecular biology.

[77]  K. Yoshikawa,et al.  Wave emission from heterogeneities opens a way to controlling chaos in the heart. , 2007, Physical review letters.

[78]  A. Russo,et al.  The Dilemma of ICD Implant Testing , 2007, Pacing and clinical electrophysiology : PACE.

[79]  K. Reinier,et al.  Epidemiology of sudden cardiac death: clinical and research implications. , 2008, Progress in cardiovascular diseases.

[80]  Wilhelm Burger,et al.  Digital Image Processing - An Algorithmic Introduction using Java , 2016, Texts in Computer Science.

[81]  Willi A Kalender,et al.  Angiofil®‐mediated visualization of the vascular system by microcomputed tomography: A feasibility study , 2008, Microscopy research and technique.

[82]  Gerhard A Holzapfel,et al.  Constitutive modelling of passive myocardium: a structurally based framework for material characterization , 2009, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[83]  G. Panicker,et al.  Sudden cardiac death-an Indian perspective , 2009 .

[84]  C. Gabriel,et al.  Electrical conductivity of tissue at frequencies below 1 MHz , 2009, Physics in medicine and biology.

[85]  L. Tung The Generalized Activating Function , 2009, Cardiac Bioelectric Therapy.

[86]  Eberhard Bodenschatz,et al.  Phase-resolved analysis of the susceptibility of pinned spiral waves to far-field pacing in a two-dimensional model of excitable media , 2010, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[87]  S. Luther,et al.  Predicting unpinning success rates for a pinned spiral in an excitable medium , 2010, 2010 Computing in Cardiology.

[88]  P. Steen,et al.  European Resuscitation Council Guidelines for Resuscitation 2010 Section 10. The ethics of resuscitation and end-of-life decisions. , 2010, Resuscitation.

[89]  Alain Pumir,et al.  Wave-train-induced termination of weakly anchored vortices in excitable media. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[90]  Kjetil Sunde,et al.  European Resuscitation Council Guidelines for Resuscitation 2010 Section 3. Electrical therapies: automated external defibrillators, defibrillation, cardioversion and pacing. , 2010, Resuscitation.

[91]  N. Trayanova,et al.  Mapping of cardiac electrical activation with electromechanical wave imaging: an in silico-in vivo reciprocity study. , 2011, Heart rhythm.

[92]  Andy Y. H. Chen Development and characterization of fiber-based systems for biomedical imaging , 2011 .

[93]  A. Squires Wave Emission From Heterogeneities For Low-Energy Termination Of Cardiac Arrhythmias , 2011 .

[94]  Alain Pumir,et al.  Low-energy Control of Electrical Turbulence in the Heart , 2011, Nature.

[95]  H. Mond,et al.  The 11th World Survey of Cardiac Pacing and Implantable Cardioverter‐Defibrillators: Calendar Year 2009–A World Society of Arrhythmia's Project , 2011, Pacing and clinical electrophysiology : PACE.

[96]  Kevin W Eliceiri,et al.  NIH Image to ImageJ: 25 years of image analysis , 2012, Nature Methods.

[97]  S. Luther,et al.  Negative curvature boundaries as wave emitting sites for the control of biological excitable media. , 2012, Physical review letters.

[98]  Zulma A. Jiménez,et al.  Scroll wave filaments self-wrap around unexcitable heterogeneities. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[99]  S. Chugh,et al.  Contribution of sudden cardiac death to total mortality in India - a population based study. , 2012, International journal of cardiology.

[100]  Johannes E. Schindelin,et al.  Fiji: an open-source platform for biological-image analysis , 2012, Nature Methods.

[101]  S. Alonso,et al.  Twists of opposite handedness on a scroll wave. , 2013, Physical review letters.

[102]  Alain Karma,et al.  Physics of Cardiac Arrhythmogenesis , 2013 .

[103]  P. Bittihn,et al.  Complex Structure and Dynamics of the Heart , 2014 .