Criterion for stable reentry in a ring of cardiac tissue.

نویسنده

  • John W Cain
چکیده

We model electrical wave propagation in a ring of cardiac tissue using an mth-order difference equation, where m denotes the number of cells in the ring. Under physiologically reasonable assumptions, the difference equation has a unique equilibrium solution. Applying Jury's stability test, we prove a theorem concerning the local asymptotic stability of this equilibrium solution. Our results yield conditions for sustained reentrant tachycardia, a type of cardiac arrhythmia.

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عنوان ژورنال:
  • Journal of mathematical biology

دوره 55 3  شماره 

صفحات  -

تاریخ انتشار 2007