Title :
Limit cycle oscillations in pacemaker cells
Author :
Endresen, Lars Petter ; Skarland, Nils
Author_Institution :
Inst. fur Fysikk, NTNU, Trondheim, Norway
Abstract :
In recent decades, several mathematical models describing the pacemaker activity of the rabbit sinoatrial node have been developed. The authors observe that membrane voltage and membrane charge are treated as independent dynamic variables in some of those models, resulting in an infinite number of limit cycles. Then the authors display numerical results from a new model where membrane voltage (v) is not a dynamic variable, and observe a limit cycle oscillation that can be reached from many different initial conditions.
Keywords :
bioelectric phenomena; cardiology; cellular biophysics; oscillations; physiological models; cardiac electrophysiology; dynamic variables; limit cycle oscillation; mathematical models; membrane charge; membrane voltage; pacemaker activity; pacemaker cells; rabbit sinoatrial node; Biomembranes; Displays; Electrostatics; Heart; Limit-cycles; Mathematical model; Nonlinear equations; Pacemakers; Rabbits; Voltage; Animals; Biomedical Engineering; Ion Channel Gating; Membrane Potentials; Models, Cardiovascular; Nonlinear Dynamics; Rabbits; Sinoatrial Node;
Journal_Title :
Biomedical Engineering, IEEE Transactions on