Stability of Localized Wave Fronts in Bistable Systems

Rulands, Steffen; Klünder, Ben and Frey, Erwin (January 2013): Stability of Localized Wave Fronts in Bistable Systems. In: Physical Review Letters, Vol. 110, No. 3: 038102-1

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

• Item Type: Journal article
• Form of publication: Publisher's Version
• Faculties: Physics
• Subjects: 500 Science > 530 Physics
• ISSN: 0031-9007
• Place of Publication: ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
• Language: English