Self-sustained waves of electrophysiological activity can cause arrhythmia in the heart. These reentrant excitations have been associated with spiral waves circulating around either an anatomically defined weakly conducting region or a functionally determined core. Recently, an ablation procedure has been clinically introduced that stops atrial fibrillation of the heart by destroying the electrical activity at the spiral core. This is puzzling because the tissue at the anatomically defined spiral core would already be weakly conducting, and a further decrease should not improve the situation. In the case of a functionally determined core, an ablation procedure should even further stabilize the rotating wave. The efficacy of the procedure thus needs explanation. Here, we show theoretically that fundamentally in any excitable medium a region with a propagation velocity faster than its surrounding can act as a nucleation center for reentry and can anchor an induced spiral wave. Our findings demonstrate a mechanistic underpinning for the recently developed ablation procedure. Our theoretical results are based on a very general and widely used two-component model of an excitable medium. Moreover, the important control parameters used to realize conditions for the discovered phenomena are applicable to quite different multicomponent models.excitable media | spirals | reentry | cardiology | ablation I n their seminal theoretical work, Norbert Wiener and Arturo Rosenblueth (1) showed in 1946 that the self-sustained activity in the cardiac muscle can be associated with an excitation wave rotating around an obstacle. This mechanism has since been very successfully applied to the understanding of the generation and control of malignant electrical activity in the heart (2). It is also well known that self-sustained excitation waves, called spirals, can exist in homogeneous excitable media. It has been demonstrated that spirals rotating within a homogeneous medium or anchored at an obstacle are generically expected for any excitable medium. Examples are known in myocardial tissues and the mammalian brain (3, 4), in the aggregation of amoeba colonies (5), in autocatalytic chemical reactions (6, 7), and in the spreading depression in chicken retina (8), as well as in the catalytic reactions of carbon monoxide gas on a platinum surface (9) and also in intracellular calcium dynamics (10). Spirals have important consequences for medicine, where they are known to cause sudden cardiac death (11,12). Recently, an atrial defibrillation procedure was clinically introduced that locates the spiral core region by detecting the phase-change point trajectories of the electrophysiological wave field and then, by ablating that region, restores sinus rhythm (13,14). This is clearly at odds with the Wiener-Rosenblueth mechanism because a further destruction of the tissue near the spiral core should not improve the situation.Here, we show theoretical results that help to resolve this issue. We found that spirals can be anchored not only at an o...