• DocumentCode
    393817
  • Title

    Analysis of generation mechanism of very slow neuronal rhythm through a Hopf bifurcation

  • Author

    Nii, Yusuke ; DOI, Shinji ; Kumagai, Sadatoshi

  • Author_Institution
    Dept. of Electr. Eng., Osaka Univ., Japan
  • Volume
    3
  • fYear
    2002
  • fDate
    5-7 Aug. 2002
  • Firstpage
    1681
  • Abstract
    Using Bonhoeffer-van der Pol (BVP) equation extended to three variables, it is shown that this single neuron model can produce an extraordinarily slow oscillation through a Hopf bifurcation. The generation mechanism of such neuronal rhythm is analyzed from a viewpoint of a bifurcation theory.
  • Keywords
    bifurcation; cellular biophysics; neurophysiology; physiological models; BVP equation; Bonhoeffer-van der Pol equation; Hopf bifurcation; bifurcation theory; extraordinarily slow oscillation; nerve cells; single neuron model; very slow neuronal rhythm generation mechanism analysis; Bifurcation; Biomembranes; Chaos; Differential equations; Frequency; Jacobian matrices; Neurons; Nonlinear equations; Rhythm; Zinc;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    SICE 2002. Proceedings of the 41st SICE Annual Conference
  • Print_ISBN
    0-7803-7631-5
  • Type

    conf

  • DOI
    10.1109/SICE.2002.1196568
  • Filename
    1196568
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=393817