Spiral waves are striking self-organized coherent structures that organize spatio-temporal
dynamics in dissipative, spatially extended systems. In this paper, we provide a conceptual …

Electrical conduction among cardiac tissue is commonly modeled with partial differential
equations, ie, reaction-diffusion equation, where the reaction term describes cellular …

Spiral waves are striking self-organized coherent structures that organize spatio-temporal
dynamics in dissipative, spatially extended systems. In this paper, we provide a conceptual …

Many extended chemical and biological systems self-organise into complex patterns that
drive the medium behaviour in a non-linear fashion. An important class of such systems are …

While spiral wave breakup has been implicated in the emergence of atrial fibrillation, its role
in maintaining this complex type of cardiac arrhythmia is less clear. We used the Karma …

Spiral wave patterns observed in models of cardiac arrhythmias and chemical oscillations
develop alternans and stationary line defects, which can both be thought of as period …

The rotating spiral waves that emerge in diverse natural and man-made systems typically
exhibit a particle-like behaviour since their adjoint critical eigenmodes (response functions) …

Cardiac fibrillation is caused by self-sustaining spiral waves that occur in the myocardium,
some of which can be pinned to anatomical obstacles, making them more difficult to …

The motion of and interaction between phase singularities that lie at the centers of spiral
waves capture many qualitative and, in some cases, quantitative features of complex …

Pair-annihilation events are ubiquitous in a variety of spatially extended systems and are
often studied using computationally expensive simulations. Here, we develop an approach …