» Articles » PMID: 7093358

Model of Bidirectional Interaction Between Myocardial Pacemakers Based on the Phase Response Curve

Overview
Journal Biol Cybern
Specialties Neurology
Physiology
Date 1982 Jan 1
PMID 7093358
Citations 6
Authors
Affiliations
Soon will be listed here.
Abstract

As a basis for the study of sinus rhythm determination, a model is proposed of bidirectionally-coupled oscillators as a system of difference equations based on the phase response curve of sinoatrial pacemaker cells. Solutions corresponding to the one-to-one synchronization of the two pacemakers are obtained, and the relation among those solutions is examined: It is revealed that two different solutions with different cycle length coexist, and the synchronized frequency can be higher or lower than the original intrinsic frequencies of the two pacemaker cells. The experimental results of the cultured cells of cardiac pacemakers are interpreted by the analytical result of the model.

Citing Articles

Suppression of pacemaker activity by rapid repetitive phase delay.

Ypey D, Van Meerwijk W, de Bruin G Biol Cybern. 1982; 45(3):187-94.

PMID: 7171641 DOI: 10.1007/BF00336191.


Synchronization in chains of pacemaker cells by phase resetting action potential effects.

de Bruin G, Ypey D, Van Meerwijk W Biol Cybern. 1983; 48(3):175-86.

PMID: 6639981 DOI: 10.1007/BF00318085.


The heart as a system of coupled nonlinear oscillators.

Honerkamp J J Math Biol. 1983; 18(1):69-88.

PMID: 6195280 DOI: 10.1007/BF00275911.


Entrainment in pacemakers characterized by a V-shaped PRC.

Torras i Genis C J Math Biol. 1986; 24(3):291-312.

PMID: 3760720 DOI: 10.1007/BF00275639.


On the relationship between two models of neural entrainment.

Torras i Genis C Biol Cybern. 1987; 57(4-5):313-9.

PMID: 3689839 DOI: 10.1007/BF00338823.


References
1.
Linkens D . The stability of entrainment conditions for RLC coupled Van der Pol oscillators used as a model for intestinal electrical rhythms. Bull Math Biol. 1977; 39(3):359-72. DOI: 10.1007/BF02462915. View

2.
Jalife J, MOE G . Effect of electrotonic potentials on pacemaker activity of canine Purkinje fibers in relation to parasystole. Circ Res. 1976; 39(6):801-8. DOI: 10.1161/01.res.39.6.801. View

3.
Sano T, Sawanobori T, Adaniya H . Mechanism of rhythm determination among pacemaker cells of the mammalian sinus node. Am J Physiol. 1978; 235(4):H379-84. DOI: 10.1152/ajpheart.1978.235.4.H379. View

4.
Harary I, Farley B . In vitro studies on single beating rat heart cells. II. Intercellular communication. Exp Cell Res. 1963; 29:466-74. DOI: 10.1016/s0014-4827(63)80009-9. View

5.
Daan S, Berde C . Two coupled oscillators: simulations of the circadian pacemaker in mammalian activity rhythms. J Theor Biol. 1978; 70(3):297-313. DOI: 10.1016/0022-5193(78)90378-8. View