Results 211 to 220 of about 2,816,546 (254)
Numerical bifurcation analysis of turing and symmetry broken patterns of a PDE model for vegetation dynamics. [PDF]
J Math BiolSpiliotis K +3 more
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A hybrid mathematical framework for morphogenesis and regeneration. [PDF]
J Math BiolCortés-Poza Y.
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Designing soft materials through synthetic morphogenesis. [PDF]
Nat CommunBortnikov EO +12 more
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The Emergence of Turing Instability and Pattern Formation in a Nonlinear Stochastic Spatiotemporal Epidemic Model with Reinfections. [PDF]
Acta BiotheorSingh AK +3 more
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Neural Turing Machines for efficient natural language summarization: architecture, optimization, and performance analysis. [PDF]
Front Artif IntellKatti KR, Katti KR, Islam A.
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Complex Systems, 2023
The first pattern formation model was proposed by the mathematician Alan M. Turing. This model consists of a system of reaction-diffusion equations that produces stationary patterns by means of the so-called “Turing instability.” In this paper, we found the conditions that the network and the parameters need to fulfill in order to achieve the Turing ...
Elizabeth Alejandra Ortiz Durán +1 more
openaire +2 more sources
The first pattern formation model was proposed by the mathematician Alan M. Turing. This model consists of a system of reaction-diffusion equations that produces stationary patterns by means of the so-called “Turing instability.” In this paper, we found the conditions that the network and the parameters need to fulfill in order to achieve the Turing ...
Elizabeth Alejandra Ortiz Durán +1 more
openaire +2 more sources
Physical Review E, 1999
We address the problem of pattern formation on the surface of a sphere using Turing equations. By considering a generic reaction-diffusion model, we numerically investigate the patterns formed under different conditions on the parameter values. Our results show that a closed surface with curvature, as a sphere, imposes geometrical restrictions on the ...
C, Varea, J L, Aragón, R A, Barrio
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We address the problem of pattern formation on the surface of a sphere using Turing equations. By considering a generic reaction-diffusion model, we numerically investigate the patterns formed under different conditions on the parameter values. Our results show that a closed surface with curvature, as a sphere, imposes geometrical restrictions on the ...
C, Varea, J L, Aragón, R A, Barrio
openaire +2 more sources
Membrane-bound Turing patterns
Physical Review E, 2005Motivated by recent observations in biological cells, we study Turing patterns in bounded regions where the nonlinear chemical reactions occur on the boundary and where reagent transport occurs in the bulk. Within a generic model, we formulate the stability problem and discuss the conditions for the occurrence of a Turing instability. By choosing other
Herbert, Levine, Wouter-Jan, Rappel
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