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Rulands, Steffen; Klünder, Ben; Frey, Erwin (Januar 2013): Stability of Localized Wave Fronts in Bistable Systems. In: Physical Review Letters, Vol. 110, Nr. 3: 038102-1-038102-4
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Abstract

Localized wave fronts are a fundamental feature of biological systems from cell biology to ecology. Here, we study a broad class of bistable models subject to self-activation, degradation, and spatially inhomogeneous activating agents. We determine the conditions under which wave-front localization is possible and analyze the stability thereof with respect to extrinsic perturbations and internal noise. It is found that stability is enhanced upon regulating a positional signal and, surprisingly, also for a low degree of binding cooperativity. We further show a contrasting impact of self-activation to the stability of these two sources of destabilization. DOI: 10.1103/PhysRevLett.110.038102