- L. Glass, C. Hill, T. Mestl. Nonlinear dynamics of gene and neural networks. In: Nonlinear Phenomena in Biological and Physical Systems, S. K. Malik, M. K. Chandrashekaran, N. Pradhan, Eds. (Indian National Science Academy, New Delhi, 2000) 249-262.
- 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.
- A. L. Goldberger, L. A. N. Amaral, L. Glass, J. M. Hausdorff, P. C. Ivanov, R. G. Mark, J. E. Mietus, G. B. Moody, C.-K. Peng, H. E. Stanley. PhysioBank, PhysioToolkit, and PhysioNet: Components of a New Research Resource for Complex Physiologic Signals. Circulation, 101, e215-e220 [Circulation Electronic Pages; http://circ.ahajournals.org/cgi/content/abstract/101/23/e215]; 2000 (June 13). pdf file
- R. Edwards, L. Glass. Combinatorial explosion in model gene networks. Chaos, 10, 691-704 (2000). pdf file
- K. Tateno, L. Glass. A method for detection of atrial fibrillation using RR intervals. Computers in Cardiology 27, 391-394 (2000). pdf file
- R. Edwards, H. T. Siegelmann, K. Aziza, L. Glass. Symbolic dynamics and computation in model gene networks. Chaos, 11, 160-169 (2001). pdf file
- L. Glass. Synchronization and rhythmic processes in physiology. Nature, 410, 277-284 (2001) (Insight review article). 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
- M. S. Titcombe, L. Glass, D. Guehl, A. Beuter. Dynamics of Parkinsonian tremor during deep brain stimulation.Chaos 11, 766-773 (2001). pdf file
- F. Chavez, R. Kapral, G. Rousseau, L. Glass. Scroll waves in spherical shell geometries. Chaos 11, 757-765 (2001). 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, vol. 4, F. Moss, S. Gielen, Eds. (Elsevier, Amsterdam, 2001), 205-227.
- 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
- J.C. Bastos de Figueiredo, L. Diambra, L. Glass, C. P. Malta. Chaos in two-looped negative feedback systems. Physical Review E 65, 051905 (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
- L. Glass. Chaos in biological systems. In: The Handbook of Brain Theory and Neural Networks, Second Edition, M.A. Arbib, Ed. 205-208 (2002).
- D. Christini, L. Glass. Mapping and control of complex cardiac arrhythmias. Chaos 12, 732-739 (2002). pdf file
- K. Kappler, R. Edwards, L. Glass. Dynamics in high dimensional model gene networks. Signal Processing 83, 789-798 (2002). pdf file
- L. Glass. Looking at dots. Mathematics Intelligencer 24, Number 4, 37-43 (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, 71-80 (2003). pdf file
- J. Bélair, L. Glass. Introduction to dynamics in nonlinear difference and differential equations. In: Nonlinear Dynamics in Physiology and Medicine, Eds. A. Beuter, L. Glass, M. C. Mackey, M. S. Titcombe, Springer-Verlag, New York ( 2003).
- L. Glass. Resetting and entraining biological rhythms. In: Nonlinear Dynamics in Physiology and Medicine, Eds. A. Beuter, L. Glass, M. C. Mackey, M. S. Titcombe, Springer-Verlag, New York (2003).
- G. Bub, K. Tateno, A. Shrier, L. Glass. Spontaneous initiation and termination of complex rhythms in cardiac cell culture. Journal of Cardiovascular Electrophysiology 14, S229-S236 (2003) pdf file
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L. Glass. Simple mathematical models for complicated biological systems. In: Simplicity Behind Complexity, Euroattractor 2002, W. Klonowski, Ed. (Pabst Science Publishers, Lengerich) 61-68 (2004).
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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
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T. Krogh-Madsen, L. Glass, E. Doedel, M.R. Guevara. Apparent discontinuities in the phase-resetting response of cardiac pacemakers. Journal of Theoretical Biology 230, 499–519 (2004). pdf file.
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J. J. Tyson, L. Glass. Arthur T. Winfree (1942–2002). Journal of Theoretical Biology 230, 433–439 (2004). pdf file
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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
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J. Mason, P. S. Linsay, J. J. Collins, L. Glass. Evolving complex dynamics in electronic models of genetic networks. Chaos 14 (3), 707-715 (2004). pdf file
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T. J. Perkins, M. T. Hallett, L. Glass. Inferring models of gene expression dynamics. Journal of Theoretical Biology 230, 289–299 (2004). pdf file
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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
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G. Bub, A. Shrier, L. Glass. Global organization of dynamics in heterogeneous, spontaneously active excitable media. Physical Review Letters 94, 028105 (2005). pdf file
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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
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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).
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R. Edwards, L. Glass. A calculus for relating the dynamics and structure of complex biological networks. In: Adventures in Chemical Physics: A Special Volume of Advances in Chemical Physics (R. S. Berry and J. Jortner, Hoboken), John Wiley & Sons, Inc., NJ,132, 151-178 (2006).
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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
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L. Glass, T. J. Perkins, J. Mason, H. T. Siegelmann, R. Edwards. Chaotic dynamics in an electronic model of a genetic network. Journal of Statistical Physics, 121(5/6) (2005). pdf file
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T. J. Perkins, M. Hallett, L. Glass. Dynamical properties of model gene networks and implications for the inverse problem. BioSystems 84, 115–123 (2006). pdf file
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L. Glass. Cardiac oscillations and arrhythmia analysis. In: Complex Systems Science in BioMedicine (International Topics in Biomedical Engineering) (T. Deisboeck, Y. Kresh eds.), Springer, New York , 409-422 (2006).
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T. J. Perkins, J. Jaeger, J. Reinitz, L. Glass. Reverse engineering the gap gene network of Drosophila melanogaster. PLoS Comput. Biol. 2(5): e51 (2006). pdf file
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V. Lemaire, C. F. Lee, J. Lei, R. Métivier, L. Glass. Sequential recruitment and combinatorial assembling of multiprotein complexes in transcriptional activation. Phys. Rev. Lett. 96, 198102 (2006). pdf file
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K. Rohlf, L. Glass, R. Kapral. Spiral wave dynamics in excitable media with spherical geometries. Chaos 16, 037115 (2006).
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L. Glass, C. Lerma. Risk stratification for arrhythmic sudden cardiac death. (Viewpoint article) Heart Rhythm 3, 1497-1501 (2006). pdf file
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M. Masè, 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).
- M. Nahmad, L. Glass, E. Abouheif. The dynamics of developmental system drift in the gene network underlying wing polyphenism in ants: a mathematical model. Evolution & Development 10, 360-374 (2008).
- S. Cardin, P. Pelletier, E. Libby, S. Le Bouter, L Xiao, S Kääb, 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
- R. Wilds, SA. Kauffman, L. Glass. Evolution of complex dynamics. Chaos, 18:3 (2008).
- M. Masé, 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
- F.H. Fenton, E. Cherry, and L. Glass. Cardiac arrhythmia. Scholarpedia, 3(7):1665 (2008).
- 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
- P. Martineau, M. Aguilar, L. Glass. Predicting perception of the wagon wheel illusion. Physical Review Letters, 103:2 (2009). pdf file
- L. Glass. Introduction to controversial topics in nonlinear science: Is the normal heart rate chaotic? Chaos, 19:2 (2009). pdf file
- R. Wilds, L. Glass. Contrasting methods for symbolic analysis of biological regulatory networks. Physical Review E80, 062902 (2009). pdf file
- R. Wilds, L. Glass. An atlas of robust, stable, high-dimensional limit cycles. International Journal of Bifurcation and Chaos, 19:12, 4055-4096 (2009). pdf file
Leon Glass Lab
Complex Physiological Dynamics