Stochastic Turing patterns in a synthetic bacterial population
نویسندگان
چکیده
منابع مشابه
Stochastic Turing Patterns
The problem of explaining the rich spectrum of different patterns exhibited by mammals has a long history. In a controversial paper [Turing52], Turing proposed a Reaction-Diffusion (RD) model to explain at a macroscopic scale the process of pattern formation, as related to the occurrence of what he called a diffusion-driven instability. A typical Turing system consists of at least two chemical ...
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A stochastic version of the Brusselator model is proposed and studied via the system size expansion. The mean-field equations are derived and shown to yield to organized Turing patterns within a specific parameters region. When determining the Turing condition for instability, we pay particular attention to the role of cross diffusive terms, often neglected in the heuristic derivation of reacti...
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Turing patterns can be observed in reaction-diffusion systems where chemical species have different diffusion constants. In recent years, several studies investigated the effects of noise on Turing patterns and showed that the parameter regimes, for which stochastic Turing patterns are observed, can be larger than the parameter regimes predicted by deterministic models, which are written in ter...
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Self-organised patterns of vegetation are a characteristic feature of many semi-arid regions. In particular, banded vegetation is typical on hillsides. Mathematical modelling is widely used to study these banded patterns, because there are no laboratory replicates. I will describe the development of spatial patterns in an established model for banded vegetation via a Turing bifurcation. I will ...
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We introduce a very simple open two-dimensional gel reactor for studying chemical patterns that arise in reaction-diffusion systems. The reactor consists of a thin disk-shaped layer of polyvinyl alcohol gel with one face in direct contact with a well-stirred flow reactor containing reactants of the chlorite-iodide-malonic acid system; the other face of the gel is in contact with a piece of tran...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2018
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.1720770115