We study the effects of additive Gaussian noise on the behaviour of a simple spatially extended system, which is locally modelled by a nonlinear twodimensional iterated map describing neuronal dynamics. In particular, we focus on the ability of noise to induce spatially ordered patterns, i.e. the socalled noise-induced pattern formation. For intermediate noise intensities, the spatially extende...

Transverse pattern formation in an optical cavity containing a cloud of cold two-level atoms is discussed. We show that density modulation becomes the dominant mechanism as the atomic temperature is reduced. Indeed, for low but easily achievable temperatures the internal degrees of freedom of the atoms can be neglected, and the system is well described by treating them as linear dielectric part...

Recent studies have shown that the spatial pattern of nests of an arboreal ant, Azteca instabilis (Hymenoptera: Formicidae), in a tropical coffee agroecosystem may emerge through self-organization. The proposed self-organization process involves both local expansion and density-dependent mortality of the ant colonies. We explored a possible mechanism for the density-dependent mortality involvin...

Different mechanisms such as cell migration, proliferation, branching, anastomosis, and lumen formation occur during the angiogenesis process. Lumen formation is one of the critical mechanisms which is not only necessary for the functional plexus but also for continuing of angiogenesis process. Although multiple studies investigated this mechanism during the angiogenesis process in both in vivo...