• DocumentCode
    1365520
  • Title

    Limit cycle oscillations in pacemaker cells

  • Author

    Endresen, Lars Petter ; Skarland, Nils

  • Author_Institution
    Inst. fur Fysikk, NTNU, Trondheim, Norway
  • Volume
    47
  • Issue
    8
  • fYear
    2000
  • Firstpage
    1134
  • Lastpage
    1137
  • 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;
  • fLanguage
    English
  • Journal_Title
    Biomedical Engineering, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9294
  • Type

    jour

  • DOI
    10.1109/10.855943
  • Filename
    855943