Results 11 to 20 of about 9,418 (264)
Physical interactions in non-ideal fluids promote Turing patterns [PDF]
Journal of the Royal Society Interface, 2023 Turing's mechanism is often invoked to explain periodic patterns in nature, although direct experimental support is scarce. Turing patterns form in reaction-diffusion systems when the activating species diffuse much slower than the inhibiting species ...
Lucas Menou† +2 more
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Turing patterns with cellular computers [PDF]
Cell SystemsTuring patterns are a key theoretical foundation for understanding organ development and organization. While they have been found to occur in natural systems, implementing new biological systems that form Turing patterns has remained challenging. To address this, Tica et al.1 used synthetic genetic networks to engineer living cellular computers that ...
Grozinger, Lewis, Goñi-Moreno, Ángel
europepmc +5 more sources
Optimal network sizes for most robust Turing patterns [PDF]
Scientific ReportsMany cellular patterns exhibit a reaction-diffusion component, suggesting that Turing instability may contribute to pattern formation. However, biological gene-regulatory pathways are more complex than simple Turing activator-inhibitor models and ...
Hazlam S. Ahmad Shaberi +3 more
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Physical Review Letters, 1993 Turing patterns involve regions of different chemical compositions which lead to density gradients that, in liquids, are potentially unstable hydrodynamically. Nonlinear hydrodynamics coupled with a model of Turing pattern formation show that convection modifies and coexists with some Turing patterns and excludes others, and thereby plays a significant
Vasquez, D. A. +2 more
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Hyperbolic Chaos of Turing Patterns [PDF]
Physical Review Letters, 2012 We consider time evolution of Turing patterns in an extended system governed by an equation of the Swift-Hohenberg type, where due to an external periodic parameter modulation long-wave and short-wave patterns with length scales related as 1:3 emerge in succession.
Kuptsov, Pavel V. +2 more
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The Turing bifurcation in network systems: Collective patterns and single differentiated nodes [PDF]
Physica D: Nonlinear Phenomena, 2012 We study the emergence of patterns in a diffusively coupled network that undergoes a Turing instability. Our main focus is the emergence of stable solutions with a single differentiated node in systems with large and possibly irregular network topology ...
Matthias Wolfrum
exaly +2 more sources
Stochastic Turing patterns in the Brusselator model [PDF]
Physical Review E, 2010 modified version submitted to Phys Rev. E. 5.
T. Biancalani +2 more
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Turing Patterns in Deserts [PDF]
, 2012 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.
Jonathan A. Sherratt +1 more
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Widespread biochemical reaction networks enable Turing patterns without imposed feedback [PDF]
Nature CommunicationsUnderstanding self-organized pattern formation is fundamental to biology. In 1952, Alan Turing proposed a pattern-enabling mechanism in reaction-diffusion systems containing chemical species later conceptualized as activators and inhibitors that are ...
Shibashis Paul, Joy Adetunji, Tian Hong
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Turing Patterns in a Predator-Prey System with Self-Diffusion
Abstract and Applied Analysis, 2013 For a predator-prey system, cross-diffusion has been confirmed to emerge Turing patterns. However, in the real world, the tendency for prey and predators moving along the direction of lower density of their own species, called self-diffusion, should be ...
Hongwei Yin, Xiaoyong Xiao, Xiaoqing Wen
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