Biomedical Engineering Reference
In-Depth Information
involving the AV node have been regularized by premature atrial stimulation in
both animal models (50) and in people (51). The possibility exists that more
complex arrhythmias such as atrial or ventricular fibrillation might also be con-
trolled by stimulation (52,53).
In recent years, there has been an increasingly interdisciplinary research
environment in which experts in the mathematical aspects of arrhythmias are
being teamed with experts in physiology and clinical problems. It will be inter-
esting to see if the development of our theoretical understanding of the mecha-
nisms of cardiac arrhythmias will lead to a comparable improvement in medical
procedures.
5.
ACKNOWLEDGMENTS
This work has been supported by the Natural Sciences and Engineering
Council of Canada, the Canadian Institute for Health Research, the Canadian
Heart and Stroke Foundation, the Mathematics of Information Technology and
Complex Systems Centre of Excellence (Canada), and the Research Resource
for Complex Physiologic Signals funded by the National Institutes of Health,
USA.
6.
REFERENCES
1. Goldberger AL, Goldberger E. 1994.
Clinical electrocardiography: a simplified approach
, 5th
ed. Mosby, St. Louis.
2. van der Pol B, van der Mark J. 1928. The heartbeat considered as a relaxation oscillation, and
an electrical model of the heart.
Philos Mag
6
:763-765.
3. Roberge FA, Nadeau RA. 1969. The nature of Wenckebach cycles.
Can J Physiol Pharmacol
47
:695-704.
4. Keener JP. 1981. On cardiac arrhythmia: AV conduction block.
J Math Biol
12
:215-225.
5. Shrier A, Dubarsky H, Rosengarten M, Guevara MR, Nattel S, Glass L. 1987. Prediction of
complex atrioventricular conduction rhythms in humans with use of the atrioventricular nodal
recovery curve.
Circulation
76
:1196-1205.
6. Glass L, Guevara MR, Shrier A. 1987. Universal bifurcations and the classification of cardiac
arrhythmias.
Ann NY Acad Sci
504
:168-178.
7. Guevara MR. 1991. Iteration of the human atrioventricular (AV) nodal recovery curve predicts
many rhythms of AV block. In
Theory of heart: biomechanics, biophysics, and nonlinear dy-
namics of cardiac function
, pp. 313-358. Ed. L Glass, P Hunter, A McCulloch. Springer, New
York.
8. Talajic M, Papadatos D, Villemaire C, Glass L, Nattel S. 1991. A unified model of atrioven-
tricular nodal conduction predicts dynamic changes in Wenckebach periodicity.
Circ Res
68
:1280-1293.
9. Sun J, Amellal F, Glass L, Billette J. 1995. Alternans and period-doubling bifurcations in
atrioventricular nodal conduction.
J Theor Biol
173
:79-91.
