Cardiac Arrhythmias


  • M.R. Guevara, L. Glass, A. Shrier. Phase locking, period doubling bifurcations and irregular dynamics in periodically stimulated cardiac cells. Science 214, 1350-1353 (1981).

  • M.R. Guevara, L. Glass. Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven biological oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias. Journal of Mathematical Biology 14, 1-23 (1982).

  • L. Glass, M.R. Guevara, A. Shrier, R. Perez. Bifurcation and chaos in a periodically stimulated cardiac oscillator. Physica 7D, 89-101 (1983). pdf file

  • M.R. Guevara, G. Ward, A. Shrier, L. Glass. Electrical alternans and period-doubling bifurcations. IEEE Computers in Cardiology, 167-170 (1984).

  • L. Glass, A. Goldberger, J. Bélair. Dynamics of pure parasystole. American Journal of Physiology 251 (Heart Circ. Physiol. 20), H841-H847 (1986). pdf file

  • M.R. Guevara, A. Shrier, L. Glass. Phase resetting of spontaneously beating embryonic ventricular heart cell aggregates. American Journal of Physiology 251 (Heart Circ. Physiol. 20), H1298-H1305 (1986). pdf file

  • L. Glass, A. Goldberger, M. Courtemanche, A. Shrier. Nonlinear dynamics, chaos and complex cardiac arrhythmias. Proceedings of the Royal Society (London) A 413, 9-26 (1987). pdf file

  • A. Shrier, H. Dubarsky, M. Rosengarten, M.R. Guevara, S. Nattel, L. Glass. Prediction of complex atrioventricular conduction rhythms in humans using the atrioventricular nodal recovery curve. Circulation 76, 1196-1205 (1987).

  • M.R. Guevara, A. Shrier, L. Glass. Phase-locked rhythms in periodically stimulated heart cell aggregates. American Journal of Physiology 254 (Heart Circ. Physiol. 23), H1-H10 (1988). pdf file

  • M. Courtemanche, L. Glass, M.D. Rosengarten, A.L. Goldberger. Beyond parasystole: Promises and problems in modelling complex arrhythmias. American Journal of Physiology 257 (Heart Circ. Physiol. 26), H693-H706 (1989). pdf file

  • D. Gordon, D. Scagliotti, M. Courtemanche, L. Glass. A clinical study of the dynamics of parasystole. PACE 12, 1412-1418 (1989).

  • M. Delmar, L. Glass, D.C. Michaels, J. Jalife. Ionic basis and analytical solution of the Wenckebach phenomenon in guineapig ventricular myocytes. Circulation Research 65, 775-788 (1989).

  • M. Courtemanche, L. Glass, J. Bélair, D. Scagliotti, D. Gordon. A circle map in a human heart. Physica 40D, 299-310 (1989). pdf file

  • W.Z. Zeng, M. Courtemanche, L. Sehn, A. Shrier, L. Glass. Theoretical computation of phase locking in embryonic atrial heart cell aggregates. Journal of Theoretical Biology 145, 225-244 (1990).

  • L. Glass, P. Hunter. There is a theory of heart. Physica 43D, 1-16 (1990). pdf file

  • W.Z. Zeng, J. Morissette, R. Brochu, L. Glass, A. Shrier. Complex rhythms resulting from overdrive suppression in electrically stimulated cardiac pacemakers. PACE 13, 1678-1685 (1990).

  • H. Ito, L. Glass. Spiral breakup in a new model of excitable media. Physical Review Letters 66, 671-674 (1991). pdf file

  • M. Talajic, D. Papadatos, C. Villemaire, L. Glass, S. Nattel. A unified model of AV node conduction predicts dynamic changes in Wenckebach periodicity. Circulation Research 68, 1280-1293 (1991).

  • L. Glass. Circle maps and cardiac arrhythmias A classical problem. Chaos: An Interdisciplinary Journal of Nonlinear Science 1, 13-19 (1991).

  • W.Z. Zeng, L. Glass, A. Shrier. Evolution of rhythms during periodic stimulation of embryonic chick heart cell aggregates. Circulation Research 69, 1022-1033 (1991).

  • H. Ito, L. Glass. Theory of reentrant excitation in a ring of cardiac tissue. Physica 56D, 84-106 (1992). pdf file

  • M. Courtemanche, L. Glass, J.P. Keener. Instabilities of a propagating pulse in a ring of excitable media. Physical Review Letters 70, 2182-2185 (1993). pdf file

  • V.C. Kowtha, A. Kunysz, J.R. Clay, L. Glass, A. Shrier. Ionic mechanisms and nonlinear dynamics of embryonic chick heart cell aggregates. Progress in Biophysics and Molecular Biology 61, 255-281 (1994).

  • L. Glass, W. Zeng. Bifurcations in flat-topped maps and the control of cardiac chaos. International Journal of Bifurcation and Chaos 4, 1061-1067 (1994).

  • A. Kunysz, L. Glass, A. Shrier. Overdrive suppression of spontaneously beating chick heart cell aggregates: Experiment and theory. Am. J. Physiol. 269, H1153-H1164 (1995). pdf file

  • G. Bub, L. Glass. Bifurcations in a discontinuous circle map: A theory for a chaotic cardiac arrhythmia. International Journal of Bifurcation and Chaos 5, 359-371 (1995).

  • J. Sun, F. Amellal, L. Glass, J. Billette. Alternans and period doubling bifurcations in atrioventricular nodal conduction. Journal of Theoretical Biology 173, 79-91 (1995). pdf file

  • L. Glass, M.E. Josephson. Resetting and annihilation of reentrant abnormally rapid heartbeat. Physical Review Letters 75, 2059-2063 (1995). pdf file

  • T. Nomura, L. Glass. Entrainment and termination of reentrant wave propagation in a periodically stimulated ring of excitable media. Physical Review E 53, 6353-6360 (1996). pdf file

  • F. Amellal, K. Hall, L. Glass, J. Billette. Alternation of atrioventricular nodal conduction time during atrioventricular reentrant tachycardia: Are dual pathways necessary? Journal of Cardiovascular Electrophysiology 7, 943-951 (1996).

  • L. Glass. Dynamics of cardiac arrhythmias. Physics Today 49 (Number 8, Part 1), 40-45 (1996).

  • W. Zeng, L. Glass. Statistical properties of heartbeat intervals during atrial fibrillation. Physical Review E 54, 1779-1784 (1996). pdf file
     
  • M. Courtemanche, J.P. Keener, L. Glass.  A Delay Equation Representation of Pulse Circulation on a Ring in Excitable Media.  Siam J. Appl. Math., 56, 119-142, 1996.  pdf file

  • K. Hall, D. J. Christini, M. Tremblay, J. J. Collins, L. Glass, J. Billette. Dynamic control of cardiac alternans. Physical Review Letters 78, 4518-4521 (1997). pdf file

  • A. Kunysz, A. Shrier, L. Glass. The challenge of complex dynamics for theoretical models of cardiac activity. Theoretical Medicine 2, 79-90 (1997).

  • A. Kunysz, A. Shrier, L. Glass. Bursting behavior during fixed delay stimulation of spontaneously beating chick heart cell aggregates. American Journal of Physiology 273 (Cell Physiology 42), C331-C346 (1997). pdf file

  • G. Bub, L. Glass, A. Shrier. Bursting calcium rotors in cultured cardiac myocyte monolayers. Proceedings of the National Academy of Sciences (USA) 95, 10283-10287 (1998). pdf file

  • K. Hall, L. Glass. Locating ectopic foci.  Journal of Cardiovascular Electrophysiology 10, 387-398 (1999).

  • K. Hall, L. Glass. How to tell a target from a spiral: The two probe problem. Physical Review Letters 82, 5164-5167 (1999). pdf file

  • D. J. Christini, K. Hall, J. J. Collins, L. Glass. Controlling cardiac arrhythmias: The relevance of nonlinear dynamics. In: Handbook of Biological Physics, Volume 4: Neuro-informatics, Neural Modelling, F. Moss, S. Gielen, Eds. (Elsevier, Amsterdam, 2000) 205-227.

  • Y. Nagai, H. González, A. Shrier, L. Glass. Paroxysmal starting and stopping of circulating waves in excitable media, Physical Review Letters, 84, 4248-4251 (2000). pdf file

  • L. Glass, M. Courtemanche. Control of atrial fibrillation: A theoretical perspective. In: Cardiac Arrhythmias and Device Therapy: Results and Perspectives for the New Century, I. E. Ovsyshcher, Ed. (Futura, Armonk, 2000) 87-94.

  • H. González, Y. Nagai, G. Bub, L. Glass, A. Shrier. Resetting and annihilating reentrant waves in a ring of cardiac tissue: Theory and experiment. In: "Let's Face Chaos through Nonlinear Dynamics" Proceedings of the 4th International Summer School/Conference held at the University of Maribor, 27 June -- 11 July, 1999, M.Robnik, Y. Aizawa, H. Hasegawa, Y. Kuramoto, Eds., Progress of Theoretical Physics Supplement No. 139, 2000. 83-89. pdf file

  • M. Ballora, B. Pennycook, L. Glass. Audification of heart rhythms in Csound. In: The Csound Book: Perspectives in Software Synthesis, Sound Design, Signal Processing, and Programming, R. Belanger, Ed. (MIT Press, Cambridge, 2000). CD-ROM Chapter 13.

  • F. Chavez, R. Kapral, G. Rousseau, L. Glass. Scroll waves in spherical shell geometries. Chaos 11, 757-765 (2001). pdf file

  • V. Schulte-Frohlinde, Y. Ashkenazy , P.Ch. Ivanov, L. Glass, A.L. Goldberger, H.E. Stanley. Noise effects on the complex patterns of abnormal heartbeats. Physical Review Letters, 87, 068104 (2001) pdf file

  • K. Tateno, L. Glass. Automatic detection of atrial fibrillation using the coefficient of variation and density histograms of RR and Δ RR intervals. Medical & Biological Engineering & Computing 39, 664-671 (2001). pdf file

  • G. Bub, A. Shrier, L. Glass. Spiral wave generation in heterogeneous excitable media. Physical Review Letters 88, 058101 (2002). pdf file

  • L. Glass, Y. Nagai, K. Hall, M. Talajic, S. Nattel. Predicting the entrainment of reentrant cardiac waves using phase resetting curves. Physical Review E, 65, 021908 (2002). pdf file

  • P. Jorgensen, C. Schafer, P. G. Guerra, M. Talajic, S. Nattel, L. Glass. A mathematical model of human atrioventricular nodal function incorporating concealed conduction. Bulletin of Mathematical Biology 64, 1083-1099 (2002). pdf file

  • V. Schulte-Frohlinde, Y. Ashkenazy, A. L. Goldberger, P. Ch. Ivanov, M. Costa, A. Morley-Davies, H. E. Stanley, L. Glass. Complex patterns of abnormal heartbeats. Physical Review E, 66, 031901 (2002). pdf file

  • D. Christini, L. Glass. Mapping and control of complex cardiac arrhythmias. Chaos 12, 732-739 (2002). pdf file

  • H. González, Y. Nagai, G. Bub, L. Glass, A. Shrier. Reentrant waves in a ring of embryonic chick ventricular cells imaged with a Ca2+ sensitive dye. BioSystems 71-80 (2003). pdf file

  • G. Bub, K. Tateno, A. Shrier, L. Glass. Spontaneous initiation and termination of complex rhythms in cardiac cell culture. Journal of Cardiovascular Electrophysiology, vol.14, no.10, 229-236, October 2003 pdf file

  • M. Ballora, B. Pennycook, P. Ch. Ivanov, A. Goldberger, L. Glass. Heart rate sonification: A new approach to medical diagnosis. Leonardo, 47 (1), 41-46 (2004). pdf file

  • J. Davidsen, L. Glass, R. Kapral. Topological constraints on spiral wave dynamics in spherical shells with inhomogeneous excitability. Physical Review E 70, 056203 (2004). pdf file

  • L. Mangin, A. Vinet, P. Pagé, L. Glass. Effects of antiarrhythmic drug therapy on atrioventricular nodal function during atrial fibrillation in humans. Clinical data and mathematical analysis, Europace 7(2), 71-82 (2005). pdf file

  • L. Glass. Multistable spatiotemporal patterns of cardiac activity. Commentary. Proceedings of the National Academy of Sciences of the United States of America 102 (30), 10409-10410 (2005). pdf file

  • L. Glass. Cardiac arrhythmias and the electrocardiogram. In The Encyclopedia of Nonlinear Science (A.C. Scott, editor), Routledge, New York and London, 89-91 (2005).

  • G. Bub, A. Shrier, L. Glass. Global organization of dynamics in heterogeneous, spontaneously active excitable media. Physical Review Letters 94, 028105 (2005). pdf file

  • B. E. Steinberg, L. Glass, A. Shrier, G. Bub. The role of heterogeneities and intercellular coupling in wave propagation in cardiac tissue. Philosophical Transactions of the Royal Society A 364, 1299-1311 (2006). pdf file

  • L. Glass, C. Lerma. Risk stratification for arrhythmic sudden cardiac death. (Viewpoint article). Heart Rhythm 3, 1497-1501 (2006). pdf file

  • M. Mas, L. Glass, F. Ravelli. Quantification of phase recurrences in atrioventricular (AV) conduction during atrial arrhythmias. Computers in Cardiology 33, 761-764 (2006). pdf file

  • C. Lerma, C. F. Lee, L. Glass, A. L. Goldberger. The rule of bigeminy revisited: Analysis in the sudden cardiac death syndrome. Journal of Electrocardiology 40, 78-88 (2007). pdf file

  • S. Cardin, E. Libby, P. Pelletier, S. Le Bouter, A. Shiroshita-Takeshita, N. Le Meur, J. Léger, S. Demolombe, A. Ponton, L. Glass, S. Nattel. Contrasting gene expression profiles in two canine models of atrial fibrillation. Circulation Research 100 (2007) (published online January 18, 2007). pdf file

  • C. Lerma, T. Krogh-Madsen, M. R. Guevara, L. Glass. Stochastic aspects of cardiac arrhythmias. Journal of Statistical Physics, 128, 347-374 (2007). pdf file

  • C. Lerma, N. Wessel, A. Schirdewan, J. Kurths, L. Glass. Ventricular arrhythmias and changes in heart rate preceding ventricular tachycardia in patients with an implantable cardioverter defibrillator. Medical & Biological Engineering & Computing 46, 715-727 (2008).

  • S. Cardin, P. Pelletier, E. Libby, S. Le Bouter, L Xiao, S Kb, S Demolombe, L. Glass, S. Nattel. Marked differences between atrial and ventricular gene-expression remodeling in dogs with experimental heart failure.  Journal of Molecular and Cellular Cardiology, 45, 821-831 (2008). pdf file
     
  • M. Mas, L. Glass, F Ravelli.  A model for mechano-electrical feedback effects on atrial flutter interval variability.  Bulletin of Mathematical Biology, 70:5, 1326-1347 (2008). pdf file

  • M.Y. Kim, M. Aguilar, A. Hodge, E. Vigmond, A. Shrier, L. Glass. Stochastic and spatial influences on drug-induced bifurcations in cardiac tissue culture. Physical Review Letters,103:5 (2009). pdf file

  • L. Glass. Introduction to controversial topics in nonlinear science: Is the normal heart rate chaotic? Chaos, 19:2 (2009). pdf file
     
  • L. Glass, C.Lerma, A. Shrier. New methods for the analysis of heartbeat behavior in risk stratification. Mini Review Article (2011). Front. Physio., doi: 10.3389/fphys.2011.00088. pdf file


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