Mutual entrainment and electrical coupling as mechanisms for synchronous firing of rabbit sino‐atrial pace‐maker cells.

The mechanisms of synchronous firing of cardiac pace‐makers were studied using thin (0.3‐0.5 mm) rabbit sino‐atrial (s.a.) node strips placed in a three‐compartment tissue bath. Superfusion of the central segment (1 mm in length) with ion‐free sucrose solution permitted the electrical insulation of the external segments and the development of two independent pace‐maker 'centres': one fast (F); one slow (S). An external shunt pathway was used to modulate the degree of coupling between F and S. Superfusion of the central segment with Tyrode solution containing heptanol (3.5 mM) instead of sucrose induced progressive decrease in the amplitude of responses in this segment and led to progressive loss of F:S synchronization. Eventually the two pace‐makers became totally independent from each other. These changes were reversible upon wash‐out of heptanol. When a pace‐maker centre was within the range of influence of local circuit (i.e. electronic) currents from the pace‐maker in the opposite side of the sucrose (or heptanol) compartment, its period was prolonged or abbreviated, depending on phase and frequency relations. Dynamic F:S interactions at various degrees of electrical coupling resulted in mutual entrainment with both pace‐makers beating at simple harmonic (i.e. 1:1, 2:1, 1:2, etc.) or more complex (3:2, 5:4, etc.) ratios that depended on the degree of coupling and the intrinsic periods of the individual pace‐maker centres. The patterns of synchronization could be predicted by the phasic sensitivity of each pace‐maker to brief electrotonic inputs. The results suggest that when two individual pace‐maker cells are connected through low resistance junctions, the period resulting from their mutual entrainment should be a function of their respective intrinsic frequencies, their phase relations and the degree of electrical coupling. The data further suggest that the heart beat is initiated by a 'democratic' type of synchronous firing of cells in the s.a. node, with each pace‐maker cell contributing to an aggregate signal and involving mutual entrainment between cells.

[1]  S. Weidmann Electrical coupling between myocardial cells. , 1969, Progress in brain research.

[2]  Charles S. Peskin,et al.  Mathematical aspects of heart physiology , 1975 .

[3]  T. N. James,et al.  Comparative Ultrastructure of the Sinus Node in Man and Dog , 1966, Circulation.

[4]  H. Irisawa Comparative physiology of the cardiac pacemaker mechanism. , 1978, Physiological reviews.

[5]  T. C. West,et al.  RELEASE OF AUTONOMIC MEDIATORS IN CARDIAC TISSUE BY DIRECT SUBTHRESHOLD ELECTRICAL STIMULATION. , 1963, The Journal of pharmacology and experimental therapeutics.

[6]  A E Becker,et al.  Functional and Morphological Organization of the Rabbit Sinus Node , 1980, Circulation research.

[7]  J Jalife,et al.  Effects of current flow on pacemaker activity of the isolated kitten sinoatrial node. , 1980, The American journal of physiology.

[8]  A. L. Wit,et al.  Effect of Verapamil on the Sinoatrial and Atrioventricular Nodes of the Rabbit and the Mechanism by Which it Arrests Reentrant Atrioventricular Nodal Tachycardia , 1974, Circulation research.

[9]  J. Jalife,et al.  Vagal Control of Pacemaker Periodicity and Intranodal Conduction in the Rabbit Sinoatrial Node , 1984, Circulation research.

[10]  J. Tranum-Jensen,et al.  The Fine Structure of the Atrial and Atrioventricular (AV) Junctional Specialized Tissues of the Rabbit Heart , 1978 .

[11]  J Jalife,et al.  Effect of Electrotonic Potentials on Pacemaker Activity of Canine Purkinje Fibers in Relation to Parasystole , 1976, Circulation research.

[12]  T. N. James,et al.  Cardiac innervation: anatomic and pharmacologic relations. , 1967, Bulletin of the New York Academy of Medicine.

[13]  L. Glass,et al.  Phase locking, period-doubling bifurcations, and irregular dynamics in periodically stimulated cardiac cells. , 1981, Science.

[14]  Theodosios Pavlidis,et al.  Biological Oscillators: Their Mathematical Analysis , 1973 .

[15]  R. Truex The Sinoatrial Node and its Connections with the Atrial Tissues , 1978 .

[16]  C Antzelevitch,et al.  Electrotonic Modulation of Pacemaker Activity Further Biological and Mathematical Observations on the Behavior of Modulated Parasystole , 1982, Circulation.

[17]  T Sano,et al.  Mechanism of rhythm determination among pacemaker cells of the mammalian sinus node. , 1978, The American journal of physiology.

[18]  R. Dehaan,et al.  Membrane response to current pulses in spheroidal aggregates of embryonic heart cells , 1975, The Journal of general physiology.

[19]  G. Pollack Cardiac pacemaking: an obligatory role of catecholamines? , 1977, Science.

[20]  P. Stein Application of the mathematics of coupled oscillator systems to the analysis of the neural control of locomotion. , 1977, Federation proceedings.

[21]  R. W. Joyner,et al.  Propagation through Electrically Coupled Cells: Effects of Regional Changes in Membrane Properties , 1983, Circulation research.

[22]  J. Nonidez The structure and innervation of the conductive system of the heart of the dog and rhesus monkey, as seen with a silver impregnation technique , 1943 .

[23]  A. Winfree The geometry of biological time , 1991 .

[24]  I. Seyama Characteristics of the rectifying properties of the sino‐atrial node cell of the rabbit. , 1976, The Journal of physiology.

[25]  J Jalife,et al.  Dynamic Vagal Control of Pacemaker Activity in the Mammalian Sinoatrial Node , 1983, Circulation research.

[26]  C. Ince,et al.  Mutual entrainment of two pacemaker cells. A study with an electronic parallel conductance model. , 1980, Journal of theoretical biology.

[27]  L. Barr,et al.  Propagation of Action Potentials and the Structure of the Nexus in Cardiac Muscle , 1965, The Journal of general physiology.

[28]  G. F. Chess,et al.  A mathematical model of the vagus-heart period system in the cat. , 1974, IEEE transactions on bio-medical engineering.

[29]  M. N. Levy,et al.  Paradoxical effect of vagus nerve stimulation on heart rate in dogs. , 1969, Circulation research.

[30]  W. Mandel,et al.  Catecholamine stores under vagal control. , 1970, The American journal of physiology.

[31]  G. Ferrier,et al.  Contribution of Variable Entrance and Exit Block in Protected Foci to Arrhythmogenesis in Isolated Ventricular Tissues , 1983, Circulation.

[32]  M. F. Johnston,et al.  Interaction of anaesthetics with electrical synapses , 1980, Nature.

[33]  A. Winfree Biological rhythms and the behavior of populations of coupled oscillators. , 1967, Journal of theoretical biology.

[34]  F. Bukauskas,et al.  [Intercellular coupling in the sinus node of the rabbit heart]. , 1977, Biofizika.

[35]  M. Lieberman,et al.  Heart: excitation and contraction. , 1971, Annual review of physiology.

[36]  W. Loewenstein,et al.  Junctional intercellular communication: the cell-to-cell membrane channel. , 1981, Physiological reviews.

[37]  W. D. De Mello Cell-to-cell communication in heart and other tissues. , 1982, Progress in biophysics and molecular biology.

[38]  K. Kawamura Electron Microscope Studies on the Cardiac Conduction System of the Dog , 1961 .

[39]  K. Kawamura Electron microscope studies on the cardiac conduction system of the dog. II. The sinoatrial and atrioventricular nodes. , 1961, Japanese circulation journal.

[40]  J Jalife,et al.  A Mathematical Model of Parasystole and its Application to Clinical Arrhythmias , 1977, Circulation.

[41]  J. Loeb,et al.  Adrenergic mechanisms in postvagal tachycardia. , 1979, The Journal of pharmacology and experimental therapeutics.

[42]  Robert L. DeHaan,et al.  In Vitro Models of Entrainment of Cardiac Cells , 1982 .