Stationary propagation of a wave segment along an inhomogeneous excitable stripe

Gao, X.; Zhang, H.; Zykov, V. S.; Bodenschatz, E.; Collins, L. R.; Warhaft, Z.

doi:10.1088/1367-2630/16/3/033012

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Stationary propagation of a wave segment along an inhomogeneous excitable stripe

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Zykov, V. S.
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Bodenschatz, E.
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Gao, X., Zhang, H., Zykov, V. S., Bodenschatz, E., Collins, L. R., & Warhaft, Z. (2014). Stationary propagation of a wave segment along an inhomogeneous excitable stripe. New Journal of Physics, 16, 033012-1-033012-16. doi:10.1088/1367-2630/16/3/033012.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-0EF5-3

Abstract

We report a numerical and theoretical study of an excitation wave propagating along an inhomogeneous stripe of an excitable medium. The stripe inhomogeneity is due to a jump of the propagation velocity in the direction transverse to the wave motion. Stationary propagating wave segments of rather complicated curved shapes are observed. We demonstrate that the stationary segment shape strongly depends on the initial conditions which are used to initiate the excitation wave. In a certain parameter range, the wave propagation is blocked at the inhomogeneity boundary, although the wave propagation is supported everywhere within the stripe. A free-boundary approach is applied to describe these phenomena which are important for a wide variety of applications from cardiology to information processing.