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Conference Papers Year : 2007

Bifurcation analysis of the control mechanism of pacemaker activity in a mathematical cardiac cell model

Karima Djabella
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  • PersonId : 832938
Mayer Landau
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  • PersonId : 838558
Michel Sorine
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  • PersonId : 830744

Abstract

In this paper, a bifurcation analysis of a recently proposed reduced order cardiac cell model is performed to obtain insights into the mechanisms of control of the sinoatrial node pacemaker activity. The objective is to improve the understanding of cardiac arrhythmias caused by abnormal automaticity. The bifurcation structure of the model is studied as a function of the maximal conductances of six sarcolemmal currents: the sodium, calcium, background calcium and potassium currents, the sodium potassium pump and the sodium calcium exchanger. All these parameters, except for the sodium current, allow when varied the annihilation of the physiological rhythmic activity through Hopf bifurcation points. The background calcium current seems to be the current responsible for cycle length sensitivity in the physiological zone and then it appears as the main control input of the pacemaker activity.
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Dates and versions

inria-00134529 , version 1 (05-03-2007)

Identifiers

  • HAL Id : inria-00134529 , version 1
  • PRODINRA : 251880

Cite

Karima Djabella, Mayer Landau, Michel Sorine. Bifurcation analysis of the control mechanism of pacemaker activity in a mathematical cardiac cell model. 7th IFAC Symposium on Nonlinear Control Systems - NOLCOS'07, Aug 2007, Pretoria, South Africa. ⟨inria-00134529⟩
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