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Showing 1 to 9 of 9 for “"Turing patterns"”.

  1. Turing patterns in linear chemical reaction systems with nonlinear cross diffusion

    lethbridge

  2. Interfaces between Competing Patterns in Reaction-diffusion Systems with Nonlocal Coupling

    In this thesis we investigate the formation of patterns in a simple activator-inhibitor model supplemented with an inhibitory nonlocal coupling term. This model exhibits a wave instability for slow inhibitor diffusion, while, for fast inhibitor diffusion, a Turing instability is found. For moderate …

    qucosa-diss

  3. Stochastic many-body problems in ecology, evolution, neuroscience, and systems biology

    … the study of quasi-cycles to a simple model of Turing patterns in a predator-prey ecosystem. This analysis shows that fluctuations drive the formation of a new kind of spatiotemporal pattern formation that I name ``quasi-patterns."" These quasi-patterns exist over a much larger range of …

    uiuc Repository record for Stochastic many-body problems in ecology, evolution, neuroscience, and systems biology (opens in a new tab)

  4. Fluctuations and response in complex biological systems: Watching stochastic evolutionary and ecological pattern dynamics

    … from statistical physics to examine spatial patterns and dynamics in complex biological systems. More specifically I used these techniques to analyze aspects of three different complex biological systems, namely stochastic Turing patterns, transposon and retrotransposon dynamics in live …

    uiuc Repository record for Fluctuations and response in complex biological systems: Watching stochastic evolutionary and ecological pattern dynamics (opens in a new tab)

  5. Stochastic dynamics in spatially extended physical and biological systems

    … effect of nonnormality on stochastic Turing patterns in reaction diffusion systems, and (3) the velocity statistics of edge dislocations in plastic deformation of crystalline material. In Part I, I present a new model for the origin of homochirality, the observed single-handedness of …

    uiuc Repository record for Stochastic dynamics in spatially extended physical and biological systems (opens in a new tab)

  6. Population Dynamics and Pattern Formation in an Info-chemical Mediated Tri-trophic Plankton Model

    … In relation to this, the critical conditions for Turing instability are derived; these are necessary and sufficient. Furthermore, we consider the degenerated situation wherein Turing bifurcation and Hopf bifurcation occur simultaneously. We also consider under what conditions Turing patterns are …

    essex Repository record for Population Dynamics and Pattern Formation in an Info-chemical Mediated Tri-trophic Plankton Model (opens in a new tab)

  7. Magnetic resonance studies of chemical reactions in microemulsions

    … reaction) gives rise to an extended range of patterns, including dash waves, segmented spirals and, most notably, stationary Turing patterns that are thought to be significant to an understanding of the biological process of morphogenesis. To date, these patterns have only been observed in …

    birmingham Repository record for Magnetic resonance studies of chemical reactions in microemulsions (opens in a new tab)

  8. Ordering of Curving Interfaces

    … particles can sense curvature and localize patterns, and anisotropic growth can form branching structures over many scales. The systems I study include fluid membranes and growing solids. My framework connects the study of liquid crystals to cytoskeletons of living cells, and provides tools …

    mit Repository record for Ordering of Curving Interfaces (opens in a new tab)

  9. Sistemi dinamici accoppiati in presenza di interazioni ad alto ordine

    … un'estensione della teoria dell'instabilità di Turing al caso delle reti ad alto ordine. L'obiettivo di questa tesi è quello di colmare le lacune esistenti in letteratura, sviluppando una teoria generale per lo studio del comportamento collettivo di sistemi dinamici accoppiati in presenza di …

    catania Repository record for Sistemi dinamici accoppiati in presenza di interazioni ad alto ordine (opens in a new tab)