Results 11 to 20 of about 1,908,978 (257)
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 ranging from skin pigmentation to digit and limb formation.
Vittadello ST +3 more
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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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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 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.
R. K. Upadhyay, R. Gupta, N. K. Thakur
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Spikes for the gierer-meinhardt system with many segments of different diffusivities [PDF]
, 2008 We rigorously prove results on spiky patterns for the Gierer-Meinhardt system with a large number of jump discontinuities in the diffusion coefficient of the inhibitor.
Winter, M, Tse, W, Wei, J
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The Turing Way: A Handbook for Reproducible Data Science
, 2019 <p>Reproducible research is necessary to ensure that scientific work can be trusted. Funders and publishers are beginning to require that publications include access to the underlying data and the analysis code.
The Turing Way Community (6945962) +19 more
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Turing Patterning in Stratified Domains [PDF]
Bulletin of Mathematical Biology, 2020 AbstractReaction–diffusion processes across layered media arise in several scientific domains such as pattern-formingE. colion agar substrates, epidermal–mesenchymal coupling in development, and symmetry-breaking in cell polarization. We develop a modeling framework for bilayer reaction–diffusion systems and relate it to a range of existing models.
Andrew L. Krause +6 more
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Turing patterns in simplicial complexes
Physical Review E, 2023 The spontaneous emergence of patterns in nature, such as stripes and spots, can be mathematically explained by reaction-diffusion systems. These patterns are often referred as Turing patterns to honor the seminal work of Alan Turing in the early 1950s.
Shupeng Gao +3 more
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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
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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 parameters classically deputed to the deterministic Turing instability. This phenomenon, as revealed by
Malbor Asslani +2 more
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