A non-linear analysis of Turing pattern formation. [PDF]
PLoS ONE, 2019 Reaction-diffusion schemes are widely used to model and interpret phenomena in various fields. In that context, phenomena driven by Turing instabilities are particularly relevant to describe patterning in a number of biological processes.
Yanyan Chen, Javier Buceta
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Turing pattern-based design and fabrication of inflatable shape-morphing structures. [PDF]
Sci Adv, 2023 Turing patterns are self-organizing stripes or spots widely found in biological systems and nature. Although inspiring, their applications are limited. Inflatable shape-morphing structures have attracted substantial research attention.
Tanaka M +6 more
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Free energy dissipation enhances spatial accuracy and robustness of self-positioned Turing pattern in small biochemical systems. [PDF]
J R Soc Interface, 2023 Accurate and robust spatial orders are ubiquitous in living systems. In 1952, Turing proposed a general mechanism for pattern formation exemplified by a reaction–diffusion model with two chemical species in a large system.
Zhang D, Zhang C, Ouyang Q, Tu Y.
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Studies of Turing pattern formation in zebrafish skin. [PDF]
Philos Trans A Math Phys Eng Sci, 2021 Skin patterns are the first example of the existence of Turing patterns in living organisms. Extensive research on zebrafish, a model organism with stripes on its skin, has revealed the principles of pattern formation at the molecular and cellular levels.
Kondo S, Watanabe M, Miyazawa S.
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Turing pattern design principles and their robustness. [PDF]
Philos Trans A Math Phys Eng Sci, 2021 Turing patterns have morphed from mathematical curiosities into highly desirable targets for synthetic biology. For a long time, their biological significance was sometimes disputed but there is now ample evidence for their involvement in processes ...
Vittadello ST +3 more
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An Intensional Concurrent Faithful Encoding of Turing Machines [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 The benchmark for computation is typically given as Turing computability; the ability for a computation to be performed by a Turing Machine. Many languages exploit (indirect) encodings of Turing Machines to demonstrate their ability to support arbitrary ...
Thomas Given-Wilson
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A model of octopus epidermis pattern mimicry mechanisms using inverse operation of the Turing reaction model [PDF]
PLoS ONE, 2021 Many cephalopods such as octopi and squid can purposefully and rapidly change their skin color. Furthermore, it is widely known that some octopi have the ability to rapidly change the color and unevenness of their skin to mimic their surroundings ...
Takeshi Ishida
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Nonlinear Analysis, 2022 It is well known that integer-order neural networks with diffusion have rich spatial and temporal dynamical behaviors, including Turing pattern and Hopf bifurcation.
Jiazhe Lin, Jiapeng Li, Rui Xu
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Particle-based simulations of polarity establishment reveal stochastic promotion of Turing pattern formation. [PDF]
PLoS Comput Biol, 2018 Polarity establishment, the spontaneous generation of asymmetric molecular distributions, is a crucial component of many cellular functions. Saccharomyces cerevisiae (yeast) undergoes directed growth during budding and mating, and is an ideal model ...
Pablo M, Ramirez SA, Elston TC.
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The fin-to-limb transition as the re-organization of a Turing pattern. [PDF]
Nat Commun, 2016 A Turing mechanism implemented by BMP, SOX9 and WNT has been proposed to control mouse digit patterning. However, its generality and contribution to the morphological diversity of fins and limbs has not been explored.
Onimaru K +4 more
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