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An Intensional Concurrent Faithful Encoding of Turing Machines [PDF]

open access: yesElectronic 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
doaj   +8 more sources

A Concrete View of Rule 110 Computation [PDF]

open access: yesElectronic 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
doaj   +4 more sources

How to generate pentagonal symmetry using Turing systems [PDF]

open access: yesPhysical 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
core   +4 more sources

Turing patterns inside cells. [PDF]

open access: yesPLoS ONE, 2007
Concentration gradients inside cells are involved in key processes such as cell division and morphogenesis. Here we show that a model of the enzymatic step catalized by phosphofructokinase (PFK), a step which is responsible for the appearance of ...
Damián E Strier, Silvina Ponce Dawson
doaj   +7 more sources

A non-linear analysis of Turing pattern formation. [PDF]

open access: yesPLoS 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
doaj   +2 more sources

Turing patterns with cellular computers. [PDF]

open access: yesCell Syst
Turing 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 L, Goñi-Moreno Á.
europepmc   +4 more sources

Optimal network sizes for most robust Turing patterns [PDF]

open access: yesScientific Reports
Many 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
doaj   +2 more sources

The Turing heritage for plant biology: all spots and stripes? [PDF]

open access: yesQuantitative Plant Biology
In ‘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
doaj   +2 more sources

Diffusiophoresis-enhanced Turing patterns

open access: yesScience 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

A model of octopus epidermis pattern mimicry mechanisms using inverse operation of the Turing reaction model

open access: yesPLoS 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
doaj   +2 more sources

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