The Dynamics of Scroll Waves in Excitable Media
نویسندگان
چکیده
An overview is given of the attempts to understand the behavior of scroll waves in threedimensional excitable media using analytical methods, and these results are compared with recent numerical and experimental results. The behavior of untwisted planar scroll rings, twisted rings and helices, and knotted scroll wave filaments is discussed.
منابع مشابه
Anchoring of drifting spiral and scroll waves to impermeable inclusions in excitable media.
Anchoring of spiral and scroll waves in excitable media has attracted considerable interest in the context of cardiac arrhythmias. Here, by bombarding inclusions with drifting spiral and scroll waves, we explore the forces exerted by inclusions onto an approaching spiral and derive the equations of motion governing spiral dynamics in the vicinity of inclusion. We demonstrate that these forces n...
متن کاملFormation and evolution of scroll waves in photosensitive excitable media.
Experimental and computational studies of the formation and evolution of scroll waves in three-dimensional excitable media are presented. Scroll waves are initiated in the photosensitive Belousov-Zhabotinsky reaction by perturbing traveling waves transverse to their direction of propagation. Scroll rings are generated by perturbing circular waves, which expand or contract depending on the stren...
متن کاملExpanding scroll rings and negative tension turbulence in a model of excitable media.
Scroll waves in excitable media, described by the Barkley model, are studied. In the parameter region of weak excitability, negative tension of wave filaments is found. It leads to expansion of scroll rings and instability of wave filaments. A circular filament tends to stretch, bend, loop, and produce an expanding tangle that fills up the volume. The filament does not undergo fragmentation bef...
متن کاملNegative filament tension in the Luo-Rudy model of cardiac tissue.
Scroll waves are vortices that occur in three-dimensional excitable media. Scroll waves have been observed in a variety of systems including cardiac tissue, where they are associated with cardiac arrhythmias. The disorganization of scroll waves into chaotic behavior is thought to be the mechanism of ventricular fibrillation, which lethality is widely known. One of the possible mechanisms of scr...
متن کاملSelection of twisted scroll waves in three-dimensional excitable media.
The selection of shape and rotation frequency for scroll waves in reaction-diffusion equations modeling excitable media is investigated. For scrolls with uniform twist about straight filaments, asymptotic methods are used to derive free-boundary equations at leading and first order. Both orders are validated against full solutions of the reaction-diffusion equations. Using these two orders and ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- SIAM Review
دوره 34 شماره
صفحات -
تاریخ انتشار 1992