Spiral Breakup in Excitable Tissue due to Lateral Instability
نویسندگان
چکیده
In a simple two-component model of excitable tissue a spiral wave is found to break up into a large number of small spirals. More specifically, we used a modified FitzHugh-Nagumo model. Spiral breakup is found to occur when the recovery variable diffuses at a high rate. The breakup is caused by lateral instability of the wave front. We analyzed this instability using quasi-one-dimensional computations and found that it could be connected to a negative eikonal-curvature relation for the parameter values at which spiral breakup occurs. [S0031-9007(97)02568-4]
منابع مشابه
Control of Spiral Wave breakup by Spatiotemporal Modulation
Spiral waves are frequently observed in a large variety of excitable media, such as the Belousov– Zhabotinsky (BZ) reactions [Winfree, 1972; Ouyang & Flesselles, 1996], the catalytic surface processes [Jakubith et al., 1990], the cardiac tissue [Davidenko et al., 1992; Qu et al., 2000] and neural networks [Sbitnev, 1998]. One common feature of spiral waves is that with the variation of the envi...
متن کاملControlling the breakup of spiral waves in an excitable medium by applying time-delay feedback signals
– The spiral-wave breakup to turbulence in an excitable medium, starting from the spiral-wave center via Doppler instability, is controlled by modulating a local region around the spiral-wave center. The modulation signal is extracted from the controlled region with a certain time delay. By injecting a feedback signal with very low intensity into a very small space area, we can successfully sta...
متن کاملMechanisms of Spiral Breakup in
Spiral breakup is a phenomenon that leads to destruction of regular spirals with periodic dynamics and is often responsible for the emergence of spatiotemporal chaos in two-dimensional reaction-diiusion media. In recent years, spiral breakup has been investigated in a variety of reaction-diiusion models of chemical reactions, cardiac tissue and calcium waves. Here, we analyze the main ingredien...
متن کاملAlternans and Spiral Breakup in an Excitable Reaction-Diffusion System: A Simulation Study
The determination of the mechanisms of spiral breakup in excitable media is still an open problem for researchers. In the context of cardiac electrophysiological activities, spiral breakup exhibits complex spatiotemporal pattern known as ventricular fibrillation. The latter is the major cause of sudden cardiac deaths all over the world. In this paper, we numerically study the instability of per...
متن کاملSpiral wave breakup in excitable media with an inhomogeneity of conduction anisotropy
Many conditions remodel the heart muscle such that it results in a perturbation of cells coupling. The effect of this perturbation on the stability of the spiral waves of electrochemical activity is not clear. We used the FitzHugh-Nagumo model of an excitable medium to model the conduction of the activation waves in a two-dimensional system with inhomogeneous anisotropy level. Inhomogeneity of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1997