-
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. Masé,
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 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
- 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
- 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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