Resonant drift of two-armed spirals by a periodic advective field and periodic modulation of excitability

Abstract

The drift behavior of two-armed spirals induced by periodic advective field and periodic modulation of excitability is investigated. It is shown that the two-armed spirals controlled by periodic advective field and periodic modulation of excitability drift in completely different ways. For periodic advective field, the two tips of the two-armed spiral drift in the same direction and the two-armed spiral is stable. While for periodic modulation of excitability, the two tips drift in the opposite direction and the two-armed spiral splits into two single-armed spirals. Analytical results based on a kinematic theory of rotating spirals in weakly excitable media are consistent with the numerical results.

Wave emitting and propagation induced by autapse in a forward feedback neuronal network

“…Spiral wave is self-sustained, and its emergence in cardiac tissue is harmful because its continuous wave front can disturb the signal propagation form the pacemaker generated by sinoatrial node. As a result, some effective schemes [42][43][44] are proposed to control the harmful spiral waves in generic models and the dynamics of tip motion for spiral wave is discussed [45,46]. Both the parameter diversity and local forcing in network can generate local heterogeneity thus wave can be emitted as pacemaker, thus wave or pulse could emit from the Contents lists available at ScienceDirect journal homepage: www.elsevier.com/locate/neucom heterogeneity area.…”

A theory for spiral wave drift induced by ac and polarized electric fields in chemical excitable media

“…Thus, its parameters need to be adjusted, and cannot be obtained from the underlying reaction-diffusion equation. And the drift of spiral waves induced by weak ac electric fields has been studied from a theoretical point of view 25 , 46 . But an analytical and quantitative explanation for this mechanism is needed.…”