Isadore Rosenfeld Chair in Cardiology
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Department of Physiology 91黑料网 McIntyre Medical Sciences Building, Room 1118 3655 Promenade Sir William Osler Montr茅al, Qu茅bec H3G 1Y6 (514) 398-4338 leon.glass [at] mcgill.ca |
Research Area:听 Dynamics of Physiological Control
Research Description:
Leon Glass carries out research on various aspects of application of nonlinear dynamics to physiology and medicine. In particular he has worked on problems associated with respiratory rhythmogenesis and the effects of periodic forcing on respiration, dynamics of tremor and motor control, dynamics of cardiac arrhythmia, visual perception, and dynamics in gene networks. Current research involves studying dynamics of complex dynamics in experimental and theoretical models of cardiac arrhythmias with an emphasis on understanding the mechanisms that lead to the transition from normal heart rhythms to pathological rhythms. Other current projects deal with dynamics in equations that model genetic networks and understanding the evolution of genetic control networks.
Education and Training:听
B.S. Brooklyn College, Chemistry 1963
PhD University of Chicago, Chemistry 1968
Postdoctoral Fellowship University of Edinburgh, Department of Machine Intelligence and Perception 1968-69
Postdoctoral Fellowship Department of Theoretical Biology, University of Chicago 1969-72
Postdoctoral Fellowship and Assistant Professor (part-time), University of Rochester Department of Physics and Astronomy 1972-75
Research area:
Nonlinear dynamics of physiological systems, dynamical disease, vision, structure and dynamics of genetic networks, cardiac arrhythmia
Leon Glass carries out research on application of nonlinear dynamics to physiology and medicine. He has worked on problems associated with respiratory rhythmogenesis and the effects of periodic forcing on respiration, dynamics of tremor and motor control, dynamics of cardiac arrhythmia, visual perception, and dynamics in gene networks. Mathematical models are formulated based on data collected from experiments and the clinic. Mechanisms underlying transitions between different dynamical behaviors as parameters are varied are considered from a perspective of bifurcation theory in nonlinear dynamics. Practical applications include characterizing dynamics and predicting dynamical transitions for cardiac arrhythmias including atrial fibrillation, premature ventricular complexes, and reentrant tachycardia.
Publications on Google Scholar:
Selected Publications:
L. Glass. Moir茅 effect from random dots. Nature 223, 578580 (1969).
L. Glass, S.A. Kauffman. The logical analysis of continuous, nonlinear biochemical control networks. Journal of Theoretical Biology 39, 103-129 (1973).
L. Glass. A combinatorial analogue of the Poincar茅 index theorem. Journal of Combinatorial Theory B 15, 264-268 (1973).
M.C. Mackey, L. Glass. Oscillation and chaos in physiological control systems. Science 197, 287-289 (1977). pdf file
L. Glass, J.S. Pasternack. Stable oscillations in mathematical models of biological control systems. Journal of Mathematical Biology 6, 207-223 (1978). pdf file
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).
L. Glass, R. Perez. Fine structure of phase locking. Physical Review Letters 48, 1772-1775 (1982). pdf file
M.R. Guevara, G. Ward, A. Shrier, L. Glass. Electrical alternans and period-doubling bifurcations. IEEE Computers in Cardiology, 167-170 (1984).
D.T. Kaplan, L. Glass. A direct test for determinism in a time series. Physical Review Letters 68, 427-430 (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
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
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. Tateno, L. Glass. A method for detection of atrial fibrillation using RR intervals. Computers in Cardiology 27, 391-394 (2000). pdf file
R. Edwards, L. Glass. Combinatorial explosion in model gene networks. Chaos, 10, 691-704 (2000). pdf file
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
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
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
T. Quail, A. Shrier, L. Glass. Predicting the onset of period-doubling bifurcations in noisy cardiac systems. Proceedings of the National Academy of Sciences (USA) 112, 9358鈥�-9363 (2015).
M. G. M. Olde Rikkert, V. Dakos, T. G. Buchman, R. de Boer, L. Glass, A. O. J. Cramer, S. Levin, E. van Nes, G. Sugihara, M. D. Ferrari, E. A. Tolner, I. van de Leemput, J. Lagro, R. Melis, M. Scheffer. Slowing down of recovery as generic risk marker for acute severity transitions in chronic diseases. Critical Care Medicine 44, 601-606 (2016).
L. Campanari, M. J. You, P. Langfield, L. Glass, A. Shrier. Varieties of reentrant dynamics. Chaos 27 04111 (2017).
V. Biasci, L. Sacconi, E. N. Cytrynbaum, D. A. Pijnappels, T. De Coster, A. Shrier, L. Glass, G. Bub. Universal mechanisms for self-termination of rapid cardiac rhythm. Chaos 30 121107 (2020).
K. Diagne, T. M. Bury, M. W. Deyell, Z. Laksman, A. Shrier, G. Bub, L. Glass. Rhythms from two competing periodic sources embedded in an excitable medium. Physical Review Letters. 130 028401 (2023).
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