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.
© 2001 The American Physical Society
S. Setayeshgar & A. J. Bernoff, "Scroll Waves in the Presence of Slowly Varying Anisotropy with Applications to the Heart", Phys. Rev. Lett. 88 (2002). DOI:10.1103/PhysRevLett.88.028101