Results 11 to 20 of about 5,421,281 (277)
Globally Stable Microresonator Turing Pattern Formation for Coherent High-Power THz Radiation On-Chip [PDF]
Physical Review X, 2017 In nonlinear microresonators driven by continuous-wave (cw) lasers, Turing patterns have been studied in the formalism of the Lugiato-Lefever equation with emphasis on their high coherence and exceptional robustness against perturbations. Destabilization
Shu-Wei Huang +7 more
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A Concrete View of Rule 110 Computation [PDF]
Electronic Proceedings in Theoretical Computer Science, 2009 Rule 110 is a cellular automaton that performs repeated simultaneous updates of an infinite row of binary values. The values are updated in the following way: 0s are changed to 1s at all positions where the value to the right is a 1, while 1s are changed
Matthew Cook
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Cooperativity to increase Turing pattern space for synthetic biology. [PDF]
ACS Synth Biol, 2015 It is hard to bridge the gap between mathematical formulations and biological implementations of Turing patterns, yet this is necessary for both understanding and engineering these networks with synthetic biology approaches.
Diambra L +3 more
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Turing pattern formation in the Brusselator system with nonlinear diffusion [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2013 In this work we investigate the effect of density dependent nonlinear diffusion on pattern formation in the Brusselator system. Through linear stability analysis of the basic solution we determine the Turing and the oscillatory instability boundaries.
Gambino, G. +3 more
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How to generate pentagonal symmetry using Turing systems [PDF]
Physical Review E, 2002 We explore numerically the formation of Turing patterns in a confined circular domain with small aspect ratio. Our results show that stable fivefold patterns are formed over a well defined range of disk sizes, offering a possible mechanism for inducing ...
Aragón, J. L. +4 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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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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The Turing heritage for plant biology: all spots and stripes? [PDF]
Quantitative Plant BiologyIn ‘The chemical basis of morphogenesis’ (1952), Alan Turing introduced an idea that revolutionised our thinking about pattern formation. He proposed that diffusion could lead to the spontaneous formation of regular patterns.
Eric Siero, Eva E. Deinum
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Turing pattern of an SIRI model on large-scale homogeneous and heterogeneous networks
Nonlinear dynamics, 2023 Taking into account the spatial flow and relapse behaviors, this paper establishes a network-organized reaction-diffusion system for disease spreading with Laplacian matrices.
Le He, Haijun Su
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Diffusiophoresis-enhanced Turing patterns
Science Advances, 2023 Turing patterns are fundamental in biophysics, emerging from short-range activation and long-range inhibition processes. However, their paradigm is based on diffusive transport processes that yield patterns with shallower gradients than those observed in nature. A complete physical description of this discrepancy remains unknown.
Benjamin M. Alessio, Ankur Gupta
openaire +3 more sources