Cooperative self-organization of microorganisms

E Ben-Jacob, I Cohen, H Levine - Advances in Physics, 2000 - Taylor & Francis
In nature, microorganisms must often cope with hostile environmental conditions. To do so
they have developed sophisticated cooperative behaviour and intricate communication …

Theory of domain patterns in systems with long-range interactions of Coulomb type

CB Muratov - Physical Review E, 2002 - APS
We develop a theory of the domain patterns in systems with competing short-range attractive
interactions and long-range repulsive Coulomb interactions. We take an energetic …

Self-organised spatial patterns and chaos in a ratio-dependent predator–prey system

M Banerjee, S Petrovskii - Theoretical Ecology, 2011 - Springer
Mechanisms and scenarios of pattern formation in predator–prey systems have been a focus
of many studies recently as they are thought to mimic the processes of ecological patterning …

Spatial patterns and spatiotemporal dynamics in chemical systems

A De Wit - Applications of Fractional Calculus in Physics, Adv …, 2007 - books.google.com
Spatial patterns and spatiotemporal dynamics in chemical systems Page 448 SPATIAL
PATTERNS AND SPATIOTEMPORAL DYNAMICS IN CHEMICAL SYSTEMS A. DE WIT Service …

Localized patterns in reaction-diffusion systems

VK Vanag, IR Epstein - Chaos: An Interdisciplinary Journal of …, 2007 - pubs.aip.org
We discuss a variety of experimental and theoretical studies of localized stationary spots,
oscillons, and localized oscillatory clusters, moving and breathing spots, and localized …

Interaction of dissipative solitons: particle-like behaviour of localized structures in a three-component reaction-diffusion system

M Bode, AW Liehr, CP Schenk, HG Purwins - Physica D: Nonlinear …, 2002 - Elsevier
We investigate the static and dynamic behaviour of well localized solitary solutions of a three-
component reaction-diffusion model in two-and three-dimensional space. These solutions …

Self-replication of localized vegetation patches in scarce environments

I Bordeu, MG Clerc, P Couteron, R Lefever, M Tlidi - Scientific reports, 2016 - nature.com
Desertification due to climate change and increasing drought periods is a worldwide
problem for both ecology and economy. Our ability to understand how vegetation manages …

Transient localized patterns in noise-driven reaction-diffusion systems

I Hecht, DA Kessler, H Levine - Physical review letters, 2010 - APS
Noise can induce excitable systems to make time-limited transitions between quiescent and
active states. Here we investigate the possibility that these transitions occur locally in a …

Labyrinthine Turing pattern formation in the cerebral cortex

JHE Cartwright - Journal of theoretical biology, 2002 - Elsevier
Labyrinthine Turing Pattern Formation in the Cerebral Cortex Page 1 J. theor. Biol. (2002) 217,
97–103 doi:10.1006/yjtbi.3012, available online at http://www.idealibrary.com on Labyrinthine …

Static spike autosolitons in the Gray-Scott model

CB Muratov, VV Osipov - Journal of Physics A: Mathematical and …, 2000 - iopscience.iop.org
We construct asymptotically the solutions to a classical reaction-diffusion system (the Gray-
Scott model of an autocatalytic reaction) in the form of static spike autosolitons (self …