• DocumentCode
    1672419
  • Title

    Driving patterns of a large non-pacemaker cell by a small pacemaker cell: Associated chaotic and coexisting states

  • Author

    Landau, M. ; Bardou, AL

  • Author_Institution
    CNRS at INRIA, Rocquencourt, France
  • fYear
    1999
  • fDate
    6/21/1905 12:00:00 AM
  • Firstpage
    523
  • Lastpage
    526
  • Abstract
    This study deals with the various driving patterns of a large non-pacemaker (NPM) cell (or tissue) by a smaller pacemaker (PM) focus. We used the coupling resistance (CR) as a continuation-bifurcation parameter and a typical cell size ratio of 0.3. Bistability, tristability and associated hysteresis phenomena were evidenced between n:p responses on various computed bifurcated branches. In narrow ranges of value of CR, two types of irregular dynamics can also be found. A classical period doubling bifurcation route and a non-classical (2n+1: n) route both lead to chaos. Thus the interaction between loading phenomena and intercellular coupling may provide a new theoretical framework for interpretation of ectopic focus induced ventricular arrhythmia and fibrillation
  • Keywords
    bifurcation; biocontrol; bioelectric potentials; biological tissues; cardiovascular system; cellular transport; chaos; hysteresis; physiological models; bistability; cell size ratio; chaotic states; classical period doubling bifurcation route; coexisting states; continuation-bifurcation parameter; coupling resistance; driving patterns; ectopic focus induced ventricular arrhythmia; fibrillation; focus; hysteresis phenomena; intercellular coupling; irregular dynamics; large nonpacemaker cell; loading phenomena; nonclassical route; small pacemaker cell; tissue; tristability; Bifurcation; Cardiac tissue; Chaos; Chromium; Conductivity; Extraterrestrial phenomena; Fibrillation; Hysteresis; Numerical simulation; Pacemakers;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computers in Cardiology, 1999
  • Conference_Location
    Hannover
  • ISSN
    0276-6547
  • Print_ISBN
    0-7803-5614-4
  • Type

    conf

  • DOI
    10.1109/CIC.1999.826023
  • Filename
    826023