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arXiv · 1212.1036

Stability of localized wave fronts in bistable systems

Steffen Rulands·Ben Klünder·Erwin Frey
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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.

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Steffen Rulands, Ben Klünder, Erwin Frey. 2013-02-05. Stability of localized wave fronts in bistable systems. https://doi.org/10.1103/physrevlett.110.038102

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