Scroll waves in the presence of slowly varying anisotropy with application to the heart.

نویسندگان

  • S Setayeshgar
  • Andrew J Bernoff
چکیده

We consider the dynamics of scroll waves in the presence of rotating anisotropy, a model of the left ventricle of the heart in which the orientation of fibers in successive layers of tissue rotates. By choosing a coordinate system aligned with the fiber rotation and studying the phase dynamics of a straight but twisted scroll wave, we derive a Burgers' equation with forcing associated with the fiber rotation rate. We present asymptotic solutions for scroll twist, verified by numerics, using a realistic fiber distribution profile. We make connection with earlier numerical and analytical work on scroll dynamics.

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عنوان ژورنال:
  • Physical review letters

دوره 88 2  شماره 

صفحات  -

تاریخ انتشار 2002