Turing Patterns
Mostrando 1-11 de 11 artigos, teses e dissertações.
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1. Padrões de Turing em sistemas químicos
Spontaneous pattern formation in reaction-diffusion systems was theoretically proposed by Alan M. Turing in 1952. His breakthrough conceptions of chemical self-organization were able to explain how patterns emerge in nature and the symmetry breaking, which are of utmost importance, for instance, in the context of origin of life. Along with the experimental o
Quím. Nova. Publicado em: 2016-05
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2. Padrões de Turing e processos dinâmicos em redes complexas / Turing patterns and dynamical processes on complex networks
Sistemas de reação-difusão podem apresentar, sob certas condições, formação de padrões espaciais heterogêneos estacionários. Chamados padrões de Turing (ou instabilidades de Turing) devido ao trabalho de Alan Turing, sua formulação matemática é importante para o estudo da formação de padrões em geral e desempenha papel central em muitos cam
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 23/03/2012
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3. Turing systems as models of complex pattern formation
Half a century ago a reaction-diffusion system of two chemicals was introduced by Alan Turing to account for morphogenesis, i.e., the development of patterns, shapes and structures found in nature. Here we will discuss the formation of patterns and structures obtained through numerical simulation of the Turing mechanism in two and three dimensions. The formi
Brazilian Journal of Physics. Publicado em: 2004-06
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4. A chemical approach to designing Turing patterns in reaction-diffusion systems.
A systematic approach is suggested to design chemical systems capable of displaying stationary, symmetry-breaking reaction diffusion patterns (Turing structures). The technique utilizes the fact that reversible complexation of an activator species to form an unreactive, immobile complex reduces the effective diffusion constant of the activator, thereby facil
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5. Stripe formation in juvenile Pomacanthus explained by a generalized Turing mechanism with chemotaxis
Current interest in pattern formation can be traced to a seminal paper by Turing, who demonstrated that a system of reacting and diffusing chemicals, called morphogens, can interact so as to produce stable nonuniform concentration patterns in space. Recently, a Turing model has been suggested to explain the development of pigmentation patterns on species of
The National Academy of Sciences.
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6. Twist grain boundaries in three-dimensional lamellar Turing structures
Steady spatial self-organization of three-dimensional chemical reaction-diffusion systems is discussed with the emphasis put on the possible defects that may alter the Turing patterns. It is shown that one of the stable defects of a three-dimensional lamellar Turing structure is a twist grain boundary embedding a Scherk minimal surface.
The National Academy of Sciences of the USA.
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7. Segmented spiral waves in a reaction-diffusion system
Pattern formation in reaction-diffusion systems is often invoked as a mechanism for biological morphogenesis. Patterns in chemical systems typically occur either as propagating waves or as stationary, spatially periodic, Turing structures. The spiral and concentric (target) waves found to date in spatially extended chemical or physical systems are smooth and
National Academy of Sciences.
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8. Periodicity of Cell Attachment Patterns during Escherichia coli Biofilm Development
The complex architecture of bacterial biofilms inevitably raises the question of their design. Microstructure of developing Escherichia coli biofilms was analyzed under static and laminar flow conditions. Cell attachment during early biofilm formation exhibited periodic density patterns that persisted during development. Several models for the origination of
American Society for Microbiology.
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9. Spatial patterns in ant colonies
The origins of large-scale spatial patterns in biology have been an important source of theoretical speculation since the pioneering work by Turing (1952) on the chemical basis of morphogenesis. Knowing how these patterns emerge and their functional role is important to our understanding of the evolution of biocomplexity and the role played by self organizat
The National Academy of Sciences.
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10. Scale-invariance in reaction-diffusion models of spatial pattern formation.
We propose a reaction-diffusion model of spatial pattern formation whose solutions can exhibit scale-invariance over any desired range for suitable choices of parameters in the model. The model does not invoke preset polarity or any other ad hoc distinction between cells and provides a solution to the French flag problem without sources at the boundary. Furt
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11. Pattern formation of stationary transcellular ionic currents in Fucus
Stationary and nonstationary spatiotemporal pattern formations emerging from the cellular electric activity are a common feature of biological cells and tissues. The nonstationary ones are well explained in the framework of the cable model. Inversely, the formation of the widespread self-organized stationary patterns of transcellular ionic currents remains e
National Academy of Sciences.