Results 1 to 10 of about 115,858 (168)

Diffusiophoresis-enhanced Turing patterns. [PDF]

Sci Adv, 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.
Alessio BM, Gupta A.
europepmc   +4 more sources

Turing patterns in multiplex networks [PDF]

Physical Review E, 2014
The theory of patterns formation for a reaction-diffusion system defined on a multiplex is developed by means of a perturbative approach. The intra-layer diffusion constants act as small parameter in the expansion and the unperturbed state coincides with
Asllani, Malbor, Busiello, Daniel M., Carletti, Timoteo, Fanelli, Duccio, Planchon, Gwendoline   +4 more
core   +5 more sources

Learning system parameters from turing patterns. [PDF]

Mach Learn, 2023
AbstractThe Turing mechanism describes the emergence of spatial patterns due to spontaneous symmetry breaking in reaction–diffusion processes and underlies many developmental processes. Identifying Turing mechanisms in biological systems defines a challenging problem.
Schnörr D, Schnörr C.
europepmc   +5 more sources

Turing patterns inside cells. [PDF]

PLoS 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

Optimal network sizes for most robust Turing patterns [PDF]

Scientific 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, Aibek Kappassov, Antonio Matas-Gil, Robert G. Endres   +3 more
doaj   +3 more sources

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 ...
A. A. Andronov, Arkady Pikovsky, D. V. Anosov, Pavel V. Kuptsov, S. P. Kuznetsov, Sergey P. Kuznetsov   +5 more
core   +3 more sources

Turing Patterns and Biological Explanation [PDF]

Disputatio, 2017
Turing patterns are a class of minimal mathematical models that have been used to discover and conceptualize certain abstract features of early biological development.
Amundson, Baker, Baker, Baron, Batterman, Bechtel, Bechtel, Bechtel, Bourgine, Brigandt, Brigandt, Cooper, Craver, Dilão, Dretske, Economou, Fox Keller, Horvath, Kondo, Lange, Levy, Love, Love, Love, Madzvamuse, Maini, Maini, Meinhardt, Meinhardt, Murray, Murray, Nathan, Othmer, Pincock, Pincock, Pincock, Pincock, Pincock, Sauer, Tompkins, Weisberg, Winther, Woody   +42 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., Barrio, R. A., Gil, D., Maini, P. K., Torres, M.   +4 more
core   +4 more sources

Stochastic Turing Patterns on a Network [PDF]

Physical Review E, 2012
The process of stochastic Turing instability on a network is discussed for a specific case study, the stochastic Brusselator model. The system is shown to spontaneously differentiate into activator-rich and activator-poor nodes, outside the region of ...
C. W. Gardiner, Duccio Fanelli, Francesca Di Patti, Malbor Asslani, N. G. van Kampen   +4 more
core   +4 more sources

Widespread biochemical reaction networks enable Turing patterns without imposed feedback [PDF]

Nature Communications
Understanding 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
doaj   +2 more sources