Dr. Leon Glass

Publicaciones

• Libros  
• A. Beuter, L. Glass, M. C. Mackey, M. S. Titcombe, Eds. Nonlinear Dynamics in Physiology and Medicine (Springer-Verlag, New York, 2003). 
• D.T. Kaplan, L. Glass. Understanding Nonlinear Dynamics (Springer-Verlag, New York, 1995). 
• J. B´elair, L. Glass, U. an der Heiden, J. Milton, Eds. Dynamical Disease: Mathematical Analysis of Human Illness (American Institute of Physics, New York, 1995). 
• L. Glass, P. Hunter, A. McCulloch, Eds. Theory of Heart: Biophysics, Biomechanics and Nonlinear Dynamics of Cardiac Function (Springer-Verlag, New York, 1991). 
• L. Glass, M.C. Mackey. From Clocks to Chaos: The Rhythms of Life. (Princeton University Press, Princeton, 1988). Traducido a Ruso (1991), Chino (1995), Portugues (1997). 
• Articulos y capitulos de libros
• Dynamics of karyotype evolution. Chaos. 2024
• The inverse problem for cardiac arrhythmias. Chaos 2023
• Predicting discrete-time bifurcations with deep learning. Nature Communications. 2023
• Rhythms from Two Competing Periodic Sources Embedded in an Excitable Medium. Physical Review Letters. 2023
• Some elements for a history of the dynamical systems theory. Chaos.  2021
• Universal mechanisms for self-termination of rapid cardiac rhythm. Chaos. 2020
• Long ECGs reveal rich and robust dynamical regimes in patients with frequent ectopy. Chaos. 2020
• Using mathematics to diagnose, cure, and predict cardiac arrhythmia. Chaos. 2020
• Double-wave reentry in excitable media. Chaos. 2019
• Hybrid models of genetic networks: Mathematical challenges and biological relevance. Journal of Theoretical Biology. 2018
• Defining the pattern of initiation of monomorphic ventricular tachycardia using the beat-to-beat intervals recorded on implantable cardioverter defibrillators from the RAFT study: A computer-based algorithm. Journal of Electrocardiology. 2018
• Demonstration of cardiac rotor and source mapping techniques in embryonic chick monolayers. Chaos. 2017
• Varieties of reentrant dynamics. Chaos. 2017
• Pattern of initiation of monomorphic ventricular tachycardia and implications on tachycardia mechanism. Minerva Cardioangiologica. 2017
• Historical note on the untimely passing of George Ralph Mines. The Journal of Physiology. 2016
• George Ralph Mines (1886-1914): the dawn of cardiac nonlinear dynamics. The Journal of Physiology. 2016
• Slowing Down of Recovery as Generic Risk Marker for Acute Severity Transitions in Chronic Diseases. Critical Care Medicine. 2016
• Predicting the risk of sudden cardiac death. The Journal of Physiology. 2016
• Dynamical disease: Challenges for nonlinear dynamics and medicine. Chaos. 2015
• Predicting the onset of period-doubling bifurcations in noisy cardiac systems. Proceedings of the National Academy of Sciences of the United States of America. 2015
• Chaotic dynamics and diffusion in a piecewise linear equation. Chaos. 2015
• Functional characterization of oscillatory and excitable media. Bulletin of Mathematical Biology. 2015
• Spatial symmetry breaking determines spiral wave chirality. Physical Review Letters. 2014
• A scaling law for random walks on networks. Nature Communications. 2014
• Introduction to focus issue: quantitative approaches to genetic networks. Chaos. 2013
• Patterns of ectopy leading to increased risk of fatal or near-fatal cardiac arrhythmia in patients with depressed left ventricular function after an acute myocardial infarction. 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. 2013
• Vitamin D receptor as a master regulator of the c-MYC/MXD1 network. Proceedings of the National Academy of Sciences of the United States of America. 2012
• Chaotic dynamics in cardiac aggregates induced by potassium channel block. Chaos. 2012
• Pacemaker interactions induce reentrant wave dynamics in engineered cardiac culture. Chaos. 2012
• Nodal recovery, dual pathway physiology, and concealed conduction determine complex AV dynamics in human atrial tachyarrhythmias. American Journal of Physiology. Heart and Circulatory Physiology. 2012
• The shape of phase-resetting curves in oscillators with a saddle node on an invariant circle bifurcation. Neural Computation. 2012
• Tunable oscillations and chaotic dynamics in systems with localized synthesis. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 2012
• Scaling properties of conduction velocity in heterogeneous excitable media. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 2011
• New methods for the analysis of heartbeat behavior in risk stratification. Frontiers in Physiology. 2011
• Proceedings from the Montebello Round Table Discussion. Second annual conference on Complexity and Variability discusses research that brings innovation to the bedside. Journal of Critical Care. 2011
• Logical and symbolic analysis of robust biological dynamics. Current opinion in genetics & development. 2010
• Robust dynamics in minimal hybrid models of genetic networks. Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences. 2010
• The calculus of committee composition. PloS one. 2010
• Contrasting methods for symbolic analysis of biological regulatory networks. Physical review. E, Statistical, Nonlinear, and Soft Matter Physics. 2009
• Stochastic and spatial influences on drug-induced bifurcations in cardiac tissue culture. Physical Review Letters. 2009
• Predicting perception of the wagon wheel illusion. Physical Review Letters. 2009
• Introduction to controversial topics in nonlinear science: is the normal heart rate chaotic?. Chaos. 2009
• Evolution of complex dynamics. Chaos. 2008
• Marked differences between atrial and ventricular gene-expression remodeling in dogs with experimental heart failure. Journal of Molecular and Cellular Cardiology. 2008
• Response to Macklem’s viewpoint “emergent phenomena”. Journal of Applied Physiology. 2008
• The dynamics of developmental system drift in the gene network underlying wing polyphenism in ants: a mathematical model. Evolution & Development. 2008
• A model for mechano-electrical feedback effects on atrial flutter interval variability. Bulletin of Mathematical Biology. 2008
• Ventricular arrhythmias and changes in heart rate preceding ventricular tachycardia in patients with an implantable cardioverter defibrillator. Medical & Biological Engineering & Computing. 2008
• Contrasting gene expression profiles in two canine models of atrial fibrillation. Circulation Research. 2007
• The rule of bigeminy revisited: analysis in sudden cardiac death syndrome. Journal of Electrocardiology. 2007
• Topological approaches to biological dynamics. IAS/Park City Mathematics Series, Submitted. 2006. 
• Stochastic aspects of cardiac arrhythmias. Journal of Statistical Physics. 2006
• Risk stratification for arrhythmic sudden cardiac death. Heart Rhythm. 2006
• Spiral wave dynamics in excitable media with spherical geometries. Chaos. 2006
• Sequential recruitment and combinatorial assembling of multiprotein complexes in transcriptional activation. Physical Review Letters. 2006
• Reverse engineering the gap gene network of Drosophila melanogaster. PLoS Computational Biology. 2006
• The role of heterogeneities and intercellular coupling in wave propagation in cardiac tissue. Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences. 2006
• Dynamical properties of model gene networks and implications for the inverse problem. Bio Systems. 2006
• Cardiac oscillations and arrhythmia analysis. En Complex Systems Science in Biomedicine, T. S. Deisboeck, Y. Kresh, Eds. (Springer, New York, 2006) pp. 409–422.
• A calculus for relating the dynamics and structure of complex biological networks. En Adventures in Chemical Physics: A Special Volume of Advances in Chemical Physics, Vol. 132, edited by R. S. Berry and J. Jortner (John Wiley & Sons, Inc. Hoboken, NJ, 2006) pp. 151–178. 
• Chaotic dynamics in an electronic model of a genetic network. Journal of Statistical Physics. 2005
• Effects of antiarrhythmic drug therapy on atrioventricular nodal function during atrial fibrillation in humans. 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. 2005
• Multistable spatiotemporal patterns of cardiac activity. Proceedings of the National Academy of Sciences of the United States of America. 2005
• Global organization of dynamics in oscillatory heterogeneous excitable media. Physical Review Letters. 2005
• Heart rate sonification: A new approach to medical diagnosis. Leonardo. 2004
• Topological constraints on spiral wave dynamics in spherical geometries with inhomogeneous excitability. Physical review. E, Statistical, Nonlinear, and Soft Matter Physics. 2004
• Global organization of dynamics in cultured cardiac monolayers. Chaos. 2004
• Evolving complex dynamics in electronic models of genetic networks. Chaos. 2004
• Apparent discontinuities in the phase-resetting response of cardiac pacemakers. Journal of Theoretical Biology. 2004
• Arthur T. Winfree (1942-2002). Journal of Theoretical Biology. 2004
• Inferring models of gene expression dynamics. Journal of Theoretical Biology. 2004
• Simple mathematical models for complicated biological systems. En Simplicity Behind Complexity. Euroattractor2002, W. Klonowski, Ed. (Pabst Science Publishers, Lengerich, 2004), 61- 68.
• Spontaneous initiation and termination of complex rhythms in cardiac cell culture. Journal of Cardiovascular Electrophysiology. 2003
• Reentrant waves in a ring of embryonic chick ventricular cells imaged with a Ca2+ sensitive dye. Bio Systems. 2003
• Obituary: Arthur T. Winfree (1942-2002). Nature. 2003
• Introduction to dynamics in nonlinear difference and differential equations. En Nonlinear Dynamics in Physiology and Medicine, Eds. A. Beuter, L. Glass, M. C. Mackey, M. S. Titcombe (Springer-Verlag, New York, 2003).
• Resetting and entraining biological rhythms. En Nonlinear Dynamics in Physiology and Medicine, Eds. A. Beuter, L. Glass, M. C. Mackey, M. S. Titcombe (Springer-Verlag, New York, 2003). 
• Looking at dots. Mathematics Intelligencer. 2002
• Dynamics in high dimensional model gene networks. Signal Processing. 2002
• Introduction: Mapping and control of complex cardiac arrhythmias. Chaos. 2002
• A mathematical model of human atrioventricular nodal function incorporating concealed conduction. Bulletin of Mathematical Biology. 2002
• Complex patterns of abnormal heartbeats. Physical r
• Review. E, Statistical, Nonlinear, and Soft Matter Physics. 2002
• Chaos in two-loop negative feedback systems. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 2002
• Spiral wave generation in heterogeneous excitable media. Physical Review Letters. 2002
• Predicting the entrainment of reentrant cardiac waves using phase resetting curves. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 2002
• Chaos in biological systems. En The Handbook of Brain Theory and Neural Networks, Second Edition, M.A. Arbib, Ed. (2002) 205-208.
• Dynamics of Parkinsonian tremor during deep brain stimulation. Chaos. 2001
• Scroll waves in spherical shell geometries. Chaos. 2001
• Symbolic dynamics and computation in model gene networks. Chaos. 2001
• Automatic detection of atrial fibrillation using the coefficient of variation and density histograms of RR and deltaRR intervals. Medical & Biological Engineering & Computing. 2001
• Noise effects on the complex patterns of abnormal heartbeats. Physical Review Letters. 2001
• Synchronization and rhythmic processes in physiology. Nature. 2001
• Controlling cardiac arrhythmias: The relevance of nonlinear dynamics. En Handbook of Biological Physics, Volume 4: Neuro-informatics, Neural Modelling, F. Moss, S. Gielen, Eds. (Elsevier, Amsterdam, 2001) 205-227.
• Combinatorial explosion in model gene networks. Chaos. 2000
• Paroxysmal starting and stopping of circulating waves in excitable media. Physical Review Letters. 2000
• PhysioBank, PhysioToolkit, and PhysioNet: components of a new research resource for complex physiologic signals. Circulation. 2000
• Control of atrial fibrillation: A theoretical perspective. En Cardiac Arrhythmias and Device Therapy: Results and Perspectives for the New Century, I. E. Ovsyshcher, Ed. (Futura, Armonk, 2000) 87-94.
• Audification of heart rhythms in Csound. En The Csound Book: Perspectives in Software Synthesis, Sound Design, Signal Processing, and Programming, R. Belanger, Ed. (MIT Press, Cambridge, 2000). CD-ROM Chapter 13.
• Resetting and annihilating reentrant waves in a ring of cardiac tissue: Theory and experiment. En ”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.
• Nonlinear dynamics of gene and neural networks. En Nonlinear Phenomena in Biological & Physical Systems, S. K. Malik, M. K. Chandrashekaran, N. Pradhan, Eds. (Indian National Science Academy, New Delhi, 2000) 249-262.
• How to tell a target from a spiral: The two probe problem. Physical Review Letters. 1999
• Chaos and heart rate variability. Journal of Cardiovascular Electrophysiology. 1999
• Locating ectopic foci. Journal of Cardiovascular Electrophysiology. 1999
• Parkinsonian tremor and simplification in network dynamics. Bulletin of Mathematical Biology. 1999
• Transition to chaos in models of genetic networks. Statistical Mechanics of Biocomplexity: Proceedings of the XV Sitges Conference, held at Sitges, Barcelona, Spain, 8-12 June 1998, D. Reguera, J. M. G. Vilar and J. M. Rubi, Eds. (Springer-Verlag, Berlin, 1999) 261- 274.
• Continuity of resetting curves for FitzHugh-Nagumo equations on the circle. En Fields Institute Communications Volume 21: Differential Equations with Applications to Biology. 1998
• Ordered and disordered dynamics in random networks. Europhysics Letters. 1998
• Bursting calcium rotors in cultured cardiac myocyte monolayers. Proceedings of the National Academy of Sciences of the United States of America. 1998
• Interaction of tremor and magnification in a motor performance task with visual feedback. Journal of Motor Behavior. 1998
• Common chaos in arbitrarily complex feedback networks. Physical Review Letters. 1997
• The challenge of complex dynamics for theoretical models of cardiac activity. Theoretical Medicine. 1997
• Dynamic control of cardiac alternans. Physical Review Letters. 1997
• Bursting behavior during fixed-delay stimulation of spontaneously beating chick heart cell aggregates. The American Journal of Physiology. 1997
• Dynamics of cardiac arrhythmias. Physics Today. 1996
• Subthreshold dynamics in periodically stimulated squid giant axons. Physical Review Letters. 1996
• Entrainment and termination of reentrant wave propagation in a periodically stimulated ring of excitable media. Physical Review. 1996
• Chaos in high dimensional neural and gene networks. Physica. 1996
• A delay equation representation of pulse circulation on a ring in excitable media. SIAM Journal on Applied Mathematics. 1996
• Counting and classifying attractors in high dimensional dynamical systems. Journal of Theoretical Biology. 1996
• Alternation of atrioventricular nodal conduction time during atrioventricular reentrant tachycardia: are dual pathways necessary?. Journal of Cardiovascular Electrophysiology. 1996
• Statistical properties of heartbeat intervals during atrial fibrillation. Physical review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 1996
• The topology of phase resetting and the entrainment of limit cycles. En Case Studies in Mathematical Modeling – Ecology, Physiology, and Cell Biology, H. G. Othmer, F. R. Adler, M. A. Lewis, C. Dallon, Eds. (Prentice-Hall, New Jersey, 1997) 255-276.
• Les maladies dynamiques. Une nouvelle approche de la médecine. Interface. 1995
• Entrainment and termination of reentrant wave propagation in a periodically stimulated ring of excitable media. Physical review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 1996
• Subthreshold dynamics in periodically stimulated squid giant axons. Physical Review Letters. 1996
• Bifurcations in a discontinuous circle map: A theory for a chaotic cardiac arrhythmia. International Journal of Bifurcation and Chaos. 1995
• Effect of manipulating visual feedback parameters on eye and finger movements. The International Journal of Neuroscience. 1995
• Resetting and Annihilation of Reentrant Abnormally Rapid Heartbeat. Physical Review Letters. 1995
• Overdrive suppression of spontaneously beating chick heart cell aggregates: experiment and theory. The American Journal of Physiology. 1995
• Alternans and period-doubling bifurcations in atrioventricular nodal conduction. Journal of Theoretical Biology. 1995
• Dynamical disease: Identification, temporal aspects and treatment strategies of human illness. Chaos. 1995
• Chaos in neural systems. En The Handbook of Brain Theory and Neural Networks, M.A. Arbib, Ed. (MIT Press, Cambridge, MA, 1995) 186-189. 
• Dynamical disease: The impact of nonlinear dynamics and chaos on cardiology and medicine. En Chaos and Complexity, J. Trˆan Thanh Vˆan, P. Berg´e, R. Conte. M. Dubois, Eds. (Editions Fronti`eres, Gif-sur-Yvette, 1995) 79-95. 
• Nonlinear dynamics and chaos in cardiac oscillatory systems. En Cardiac Electrophysiology From Cell to Bedside, Vol.2, D.P. Zipes, J. Jalife, Eds. (Saunders, Philadelphia, 1995) 363-370. 
• Bifurcations in flat-topped maps and the control of cardiac chaos. International Journal of Bifurcation and Chaos. 1994
• Periodic forcing of a limit-cycle oscillator: Fixed points, Arnold tongues, and the global organization of bifurcations. Physical review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 1994
• Ionic mechanisms and nonlinear dynamics of embryonic chick heart cell aggregates. Progress in Biophysics and Molecular Biology. 1994
• Coarse-grained embeddings of time series: Random walks, Gaussian random processes, and deterministic chaos. Physica. 1993
• Instabilities of a propagating pulse in a ring of excitable media. Physical Review Letters. 1993
• Time series analysis of complex dynamics in physiology and medicine. Medical Progress Through Technology. 1993
• Tests for deterministic dynamics in real and model neural networks. En Nonlinear Dynamical Analysis of the EEG, B.H. Jansen, M.E. Brandt, Eds. (World Scientific, Singapore, 1993) 233-249. 
• Phase resetting and fixed-delay stimulation of a simple model of respiratory rhythm generation. Journal of Theoretical Biology. 1992
• Direct test for determinism in a time series. Physical Review Letters. 1992
• The topology of phase response curves induced by single and paired stimuli in spontaneously oscillating chick heart cell aggregates. Journal of Biological Rhythms. 1992
• Nonlinear dynamics and symbolic dynamics of neural networks. Neural Computation. 1992
• Theory of reentrant excitation in a ring of cardiac tissue. Physica. 1992
• Dynamical signatures in electrocardiographic data. En Applied Chaos, J.H. Kim, J. Stringer, Eds. (John Wiley, New York, 1992) 299-319.
• Nonlinear dynamics of physiological function and control. Chaos. 1991
• Evolution of rhythms during periodic stimulation of embryonic chick heart cell aggregates. Circulation Research. 1991
• Cardiac arrhythmias and circle maps-A classical problem. Chaos. 1991
• A unified model of atrioventricular nodal conduction predicts dynamic changes in Wenckebach periodicity. Circulation Research. 1991
• Spiral breakup in a new model of discrete excitable media. Physical review letters. 1991
• A classical problem. Chaos: An Interdisciplinary Journal of Nonlinear Science. 1991
• Steady states, limit cycles, and chaos in models of complex biological networks. International Journal of Bifurcation and Chaos. 1991
• Low dimensional dynamics in heart. En Theory of Heart: Biophysics, Biomechanics and Nonlinear Dynamics of Cardiac Function, L. Glass, P. Hunter, A. McCulloch, Eds. (SpringerVerlag, New York, 1991) 289-312.
• Parasystole and the pacemaker problem. En Theory of Heart: Biophysics, Biomechanics and Nonlinear Dynamics of Cardiac Function, L. Glass, P. Hunter, A. McCulloch, Eds. (Springer-Verlag, New York, 1991) 377-390.
• NASPE young investigator awardee-1990. Complex rhythms resulting from overdrive suppression in electrically stimulated heart cell aggregates. Pacing and Clinical Electrophysiology : PACE. 1990
• Delayed visual feedback and movement control in Parkinson’s disease. Experimental Neurology. 1990
• Theoretical computation of phase locking in embryonic atrial heart cell aggregates. Journal of Theoretical Biology. 1990
• Chaos in multi-looped negative feedback systems. Journal of Theoretical Biology. 1990
• The effects of superior laryngeal nerve stimulation on the respiratory rhythm: phase-resetting and aftereffects. Brain Research. 1990
• Complex bifurcations and chaos in simple theoretical models of cardiac oscillations. Annals of the New York Academy of Sciences. 1990
• Modeling ventricular parasystole. Annals of the New York Academy of Sciences. 1990
• There is a theory of heart. Physica. 1990
• Complex rhythms resulting from overdrive suppression in electrically stimulated cardiac pacemakers. Pacing and Clinical Electrophysiology: PACE. 1990
• Chaotic and complex cardiac rhythms. En Cardiac Electrophysiology: From Cell to Bedside, D.P. Zipes, J. Jalife, Eds. (Saunders, Philadelphia, 1990) 192-201.
• Complex oscillations in a human motor system. Journal of Motor Behavior. 1989
• Ionic basis and analytical solution of the wenckebach phenomenon in guinea pig ventricular myocytes. Circulation Research. 1989
• Beyond pure parasystole: promises and problems in modeling complex arrhythmias. The American Journal of Physiology. 1989
• A clinical study of the dynamics of parasystole. Pacing and Clinical Electrophysiology: PACE. 1989
• Complex dynamics and bifurcations in neurology. Journal of Theoretical Biology. 1989
• Symbolic dynamics and skeletons of circle maps. Physica. 1989
• A circle map in a human heart. Physica. 1989
• Phase-locked rhythms in periodically stimulated heart cell aggregates. The American Journal of Physiology. 1988
• Time delays, oscillations and chaos in physiological control systems. Mathematical Biosciences. 1988
• Simple mathematical models for complex dynamics in physiological systems. En Directions in Chaos, vol. 2, B.L. Hao, Ed. (World Scientific, Singapore, 1988) 90-108.
• Complex cardiac rhythms. Nature. 1987
• Prediction of complex atrioventricular conduction rhythms in humans with use of the atrioventricular nodal recovery curve. Circulation. 1987
• Universal bifurcations and the classification of cardiac arrhythmias. Annals of the New York Academy of Sciences. 1987
• Nonlinear dynamics, chaos and complex cardiac arrhythmias. Proceedings of the Royal Society (London). 1987
• Is the respiratory rhythm generated by a limit cycle oscillator? En Concepts and Formalizations in the Control of Breathing, G. Benchetrit, P. Baconnier, J. Demongeot, Eds. (Manchester University Press, Manchester, 1987) 247-263.
• Coupled oscillators in health and disease. En Temporal Disorders in Human Oscillatory Systems. L. Rensing, U. an der Heiden, M.C. Mackey, Eds. (Springer-Verlag, Berlin, 1987) 8-14.
• Chaotic cardiac rhythms. En Chaos, A. Holden Ed. (Manchester University Press, Manchester, 1986) 237-256.
• Continuation of Arnold tongues in mathematical models of periodically forced biological oscillators. En Nonlinear Oscillations in Biology and Chemistry, Lecture Notes in Biomathematics No. 66, H. Othmer, Ed. (Springer-Verlag, Berlin, 1986) 232-243.
• Phase resetting of spontaneously beating embryonic ventricular heart cell aggregates. The American Journal of Physiology. 1986
• Dynamics of pure parasystole. The American Journal of Physiology. 1986
• Respiratory phase locking during mechanical ventilation in anesthetized human subjects. The American Journal of Physiology. 1986
• Universality and selfsimilarity in the bifurcations of circle maps. Physica. 1985
• Bifurcations universelle dans les endomorphisme du cercle. En IVe S´eminaire de l’Ecole de Biologie Th´eorique (Editions du CNRS, Paris, 1985) 217-224.
• Boolean and continuous models for the generation of biological rhythms. En Dynamical Systems and Cellular Automata. J. Demongeot, E. Goles, M. Tchuente, Eds. (Academic Press, London, 1985) 197-206. 
• Electrical alternans and period-doubling bifurcations. IEEE Computers in Cardiology. 1984
• A theory for phase locking of respiration in cats to a mechanical ventilator. The American Journal of Physiology. 1984
• Discontinuities in phase-resetting experiments. The American Journal of Physiology. 1984
• Global bifurcations of a periodically forced nonlinear oscillator. Journal of Mathematical Biology. 1984
• Global bifurcations of a periodically forced biological oscillator. Physical Review. 1984
• Phase locking of the respiratory rhythm in cats to a mechanical ventilator. Canadian Journal of Physiology and Pharmacology. 1983
• Bifurcation and chaos in a periodically stimulated cardiac oscillator. Physica. 1983
• Chaos in neurobiology. Transactions of the IEEE, Systems, Man and Cybernetics. 1983
• Self-similarity in periodically forced oscillators. Physics Letters. 1983
• Bistability, period doubling bifurcations and chaos in a periodically forced oscillator. Physics Letters. 1982
• Fine structure of phase-locking. Physical Review Letters. 1982
• An interactive computer graphic system for 3-d stereoscopic reconstruction from serial sections: analysis of metastatic growth. Computers in Biology and Medicine. 1982
• Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: a theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias. Journal of Mathematical Biology. 1982
• Phase-locking, period-doubling bifurcations and irregular dynamics. En Periodically Stimulated Cardiac Cells. 1350-1353 (1981). 
• Phase locking, period-doubling bifurcations, and irregular dynamics in periodically stimulated cardiac cells. Science. 1981
• Three dimensional reconstruction of disseminated cancer modules. Cancer Biochemistry Biophysics. 1981
• Unstable dynamics of a periodically driven oscillator in the presence of noise. Journal of Theoretical Biology. 1980
• Structure and dynamics of neural network oscillators. Brain Research. 1979
•  A simple model for phase locking of biological oscillators. Journal of Mathematical Biology. 1979
• Pathological conditions resulting from instabilities in physiological control systems. Annals of the New York Academy of Sciences. 1979
• Physiological mechanisms for the perception of random dot Moir´e patterns. En Pattern Formation by Dynamic Systems and Pattern Recognition, H. Haken, Ed. (Springer-Verlag, Berlin, 1979) 127-134.
• Formative processes. Science. 1978
• Prediction of limit cycles in mathematical models of biological oscillations. Bulletin of Mathematical Biology. 1978
• Stable oscillations in mathematical models of biological control systems. Journal of Mathematical Biology. 1978
• Patterns of supernumerary limb regeneration. Science. 1977
• Oscillation and chaos in physiological control systems. Science. 1977
• Global analysis of nonlinear chemical kinetics. En Statistical Mechanics, Pt. B, B. Berne, Ed. (Plenum, New York, 1977), 311-349.
• Combinatorial aspects of dynamics in biological systems. En Statistical Mechanics and Statistical Methods in Theory and Applications, U. Landman, Ed. (Plenum, New York, 1977) 585-611.
• Pattern recognition in humans: correlations which cannot be perceived. Perception. 1976
• Cellular and geometric control of tissue growth and mitotic instability. Journal of Theoretical Biology. 1976
• Classification of biological networks by their qualitative dynamics. Journal of Theoretical Biology. 1975
• Development of Specificity in the Cat Visual Cortex. Journal of Mathematical Biology. 1975
• A topological theorem for nonlinear dynamics in chemical and ecological networks. Proceedings of the National Academy of Sciences of the United States of America. 1975
• Negative images in stroboscopy. Optical Engineering. 1975
• Combinatorial and topological methods in nonlinear chemical kinetics. Journal of Chemical Physics. 1975
• Pore patterns on nuclear membranes. Experimental Cell Research. 1974
• Spatial switching in chemical reactions with heterogeneous catalysis. Journal of Chemical Physics. 1974
• Limit cycle oscillations in compartmental chemical systems. Journal of Chemical Physics. 1974
• Perception of random dot interference patterns. Nature. 1973
• Instability and mitotic patterns of tissue growth. Transactions of the ASME Journal of Dynamic Systems, Measurement, and Control. 1973
• Stochastic generation of regular distributions. Science. 1973
• The logical analysis of continuous, non-linear biochemical control networks. Journal of Theoretical Biology. 1973
• A combinatorial analogue of the Poincar´e index theorem. Journal of Combinatorial Theory. 1973
• Co-operative components, spatial localization and oscillatory cellular dynamics. Journal of Theoretical Biology. 1972
• General: uniform distribution of objects in a homogeneous field: cities on a plain. Nature. 1971
• Effect of blurring on perception of a simple geometric pattern. Nature. 1970
• Moiré effect from random dots. Nature. 1969
• New approximation for the calculation of neutron scattering from a simple liquid. Physical Review. 1968
• Unified approximation for the velocity autocorrelation function and the structure function of a simple liquid. Physical Review. 1968
• Theoretical studies of transannular interactions. II. The triplet states of the paracyclophanes. Journal of Chemical Physics. 1966
• Theoretical studies of transannular interactions. III. The absorption and emission of a multi-layered paracyclophane. Journal of the American Chemical Society. 1966
• On the intensity distribution of excimer emission. Journal of Chemical Physics. 1966