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The enchanted loom of artificial general intelligence. [PDF]
Poo MM.
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Impact of incubation and gestation periods on the dynamics of a spatially heterogeneous eco-epidemiological model. [PDF]
Majee S +4 more
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Dynamics of the formation of flat clathrin lattices in response to growth factor stimulus. [PDF]
Qiao L +3 more
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Fundamental limits on patterning by Turing-like reaction-diffusion mechanisms
Muzatko D, Daga B, Hiscock TW.
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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
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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 +1 more source
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
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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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