Results 11 to 20 of about 116,050 (251)
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
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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 +4 more
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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 +42 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 ...
A. A. Andronov +5 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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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
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 +4 more
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Dynamics of Turing patterns under spatio-temporal forcing [PDF]
Physical Review Letters, 2003 We study, both theoretically and experimentally, the dynamical response of Turing patterns to a spatio-temporal forcing in the form of a travelling wave modulation of a control parameter.
A. P. Muñuzuri +9 more
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Turing and Non-Turing patterns in diffusive plankton model [PDF]
Computational Ecology and Software, 2015 In this paper, we investigate a Rosenzweig-McAurthur model and its variant for phytoplankton, zooplankton and fish population dynamics with Holling type II and III functional responses.
N. K. Thakur, R. Gupta, R. K. Upadhyay
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The hidden order of Turing patterns in arid and semi-arid vegetation ecosystems. [PDF]
Proc Natl Acad Sci U S A, 2023 Ge Z.
europepmc +2 more sources