1. Croisier MR,
Guevara MR, Dauby PC
Bifurcation analysis of a periodically forced relaxation oscillator:
Differential model versus phase-resetting map.
Phys. Rev. E 79:016209-1--016209-20 (2009).
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2. González H,
Arce H, Guevara MR
Phase resetting, phase locking, and bistability in the periodically driven
saline oscillator: Experiment and model.
Phys. Rev. E 78:036217-1--036217-13
(2008).
3. López A, Arce H, Guevara
MR
Rhythms of high-grade block in an ionic model of a strand of regionally
ischemic ventricular muscle.
J. Theor. Biol. 249:29-45 (2007). ).
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4. Lerma C,
Krogh-Madsen T, Guevara MR, Glass L
Stochastic aspects of cardiac arrhythmias.
J. Stat. Phys. 128:347-374
(2007).
5. Krogh-Madsen T, Schaffer P, Skriver
AD, Taylor LK, Pelzmann B, Koidl
B, Guevara MR
An ionic model for rhythmic activity in small clusters of embryonic chick
ventricular cells.
Am. J. Physiol. 289:H398-413
(2005).
.ode file of model equations for use with WINPP or
XPPAUT
6. Krogh-Madsen T, Glass L, Doedel E, Guevara MR
Apparent discontinuities in the phase-resetting response of cardiac
pacemakers.
J. Theor. Biol. 230:499-519 (2004).
Rotatable MATLAB figures: Fig. 11C Fig. 11D Fig. 11E Fig. 11F
7. Guevara MR
Bifurcations Involving Fixed Points and Limit Cycles in Biological Systems.
In: "Nonlinear Dynamics in Physiology and Medicine",
edited by Beuter A, Glass L, Mackey MC, Titcombe MS.
Springer-Verlag,
8. Guevara MR
Dynamics of Excitable Cells.
In: "Nonlinear Dynamics in Physiology and Medicine",
edited by Beuter A, Glass L, Mackey MC, Titcombe MS.
Springer-Verlag,
9. Arce H, López A, Guevara MR
Triggered alternans in an ionic model of ischemic cardiac ventricular
muscle.
Chaos 12:807-818 (2002).
10. Arce H, Xu A, González H,
Guevara MR
Alternans and higher-order rhythms in an ionic model of a sheet of ischemic
ventricular muscle.
Chaos 10:411-426 (2000).
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11. Yehia AR, Jeandupeux D,
Alonso F, Guevara MR
Hysteresis and bistability in the direct transition from 1:1 to 2:1 rhythm in
periodically driven single ventricular cells.
Chaos 9:916-931 (1999).
12. Xu A, Guevara MR
Two forms of spiral-wave reentry in an ionic model of ischemic ventricular
myocardium.
Chaos 8:157-174 (1998).
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13. Yehia AR, Shrier A, Lo KC-L,
Guevara MR
Transient outward current contributes to Wenckebach-like rhythms in isolated
rabbit ventricular cells.
Am. J. Physiol. 273:H1-H11 (1997).
14. Guevara MR
Chaos in electrophysiology.
In: "Concepts and Techniques in Bioelectric Measurements: Is the
Medium Carrying the Message?",
edited by Billette J & LeBlanc, A-R.
Editions de l'Ecole Polytechnique de Montreal,
15. Kaplan DT, Clay JR, Manning T, Glass L, Guevara MR, Shrier
A
Subthreshold dynamics in periodically stimulated squid giant axons.
Phys. Rev. Lett. 76:4074-4077
(1996).
16. Guevara MR, Lewis TJ
A minimal single-channel model for the regularity of beating in the sinoatrial
node.
Chaos 5:174-183 (1995).
17. Guevara MR, Jongsma
HJ
Three ways of abolishing automaticity in sinoatrial node: ionic modelling and nonlinear dynamics.
Am. J. Physiol. 262:H1268-H1286
(1992).
18. Lewis TJ, Guevara MR
A 1/f power spectrum of the QRS complex does not imply fractal activation of
the ventricles.
Biophys. J. 60:1297-1300 (1991).
19. Lewis TJ, Guevara MR
Chaotic dynamics in an ionic model of the propagated cardiac action potential.
J. Theor. Biol. 146:407-432 (1990).
20. Guevara MR, Jongsma
HJ
Phase resetting in a model of sinoatrial nodal membrane: ionic and topological
aspects.
Am. J. Physiol. 258:H734-H737 (1990).
21. Guevara MR, Alonso F, Jeandupeux
D, van Ginneken ACG
Alternans in periodically stimulated isolated ventricular myocytes:
Experiment and model.
In: "Cell to Cell Signalling: From
Experiments to Theoretical Models",
edited by Goldbeter A.
Academic Press,
22. Guevara MR, Shrier A, Glass L
Phase locked rhythms in periodically stimulated heart cell aggregates.
Am. J. Physiol. 254:H1-H10 (1988).
23. Guevara MR, Shrier A
Phase resetting in a model of cardiac Purkinje fibre.
Biophys. J. 52:165-175 (1987).
24. Shrier A, Dubarsky H, Rosengarten M,
Guevara MR, Nattel S, Glass L
Prediction of complex atrioventricular conduction rhythms in humans using the
atrioventricular nodal recovery curve.
Circulation 76:1196-1205 (1987).
25. Guevara MR, Shrier A, Glass L
Phase resetting of spontaneously beating embryonic ventricular heart cell
aggregates.
Am. J. Physiol. 251:H1298-H1305 (1986).
26. Clay JR, Guevara MR, Shrier A
Phase resetting of the rhythmic activity of embryonic heart cell aggregates.
Experiment and theory.
Biophys. J. 45:699-714
(1984).
27. Glass
L, Guevara MR, Belair J, Shrier A
Global bifurcations of a periodically forced
biological oscillator.
Phys. Rev. A 29:1348-1357 (1984).
28. Guevara
MR, Ward G, Shrier A, Glass L
Electrical alternans and period doubling
bifurcations.
IEEE Computers in Cardiology, IEEE Computer
Society,
29. Glass L, Guevara MR, Shrier A, Perez R
Bifurcation and chaos in a periodically stimulated cardiac oscillator.
Physica 7D:89-101 (1983).
30. Colizza D, Guevara MR
Shrier A
A comparative study of collagenase- and trypsin-dissociated embryonic
heart cells: reaggregation, electrophysioIogy,
and pharmacology.
31. Guevara MR, Glass L
Phase locking, periodic 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.
J. Math. Biol. 14:1-23 (1982).
32. Guevara MR, Glass L, Shrier A
Phase locking, period-doubling bifurcations, and irregular dynamics in
periodically stimulated cardiac cells.
Science 214:1350-1353 (1981).