Results 41 to 50 of about 5,421,281 (277)

Cross-diffusion-driven Turing instability and weakly nonlinear analysis of Turing patterns in a uni-directional consumer-resource system

open access: yesBoundary Value Problems, 2017
Spatiotemporal patterns driven by cross-diffusion of a uni-directional consumer-resource (C-R) system with Holling-II type functional response are investigated in this paper.
Renji Han, Binxiang Dai
doaj   +1 more source

Pattern formation in spatially heterogeneous Turing reaction-diffusion models [PDF]

open access: yes, 2003
The Turing reaction–diffusion model [Phil. Trans. R. Soc. 237 (1952) 37–72] for self-organised spatial pattern formation has been the subject of a great deal of study for the case of spatially homogeneous parameters.
Maini, P. K., Monk, N. A. M., Page, K.
core   +2 more sources

Inverse design of microchannel fluid flow networks using Turing pattern dehomogenization

open access: yesStructural And Multidisciplinary Optimization, 2020
Microchannel reactors are critical in biological plus energy-related applications and require meticulous design of hundreds-to-thousands of fluid flow channels.
E. Dede, Yuqing Zhou, T. Nomura
semanticscholar   +1 more source

Effect of randomness and anisotropy on Turing patterns in reaction-diffusion systems [PDF]

open access: yes, 1997
We study the effect of randomness and anisotropy on Turing patterns in reaction-diffusion systems. For this purpose, the Gierer-Meinhardt model of pattern formation is considered. The cases we study are: (i)randomness in the underlying lattice structure,
A. Gierer   +15 more
core   +2 more sources

Learning system parameters from turing patterns

open access: yesMachine Learning, 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.
David Schnörr, Christoph Schnörr
openaire   +4 more sources

Pattern formation in quantum Turing machines [PDF]

open access: yes, 1999
We investigate the iteration of a sequence of local and pair unitary transformations, which can be interpreted to result from a Turing-head (pseudo-spin $S$) rotating along a closed Turing-tape ($M$ additional pseudo-spins).
A. Ekert   +17 more
core   +2 more sources

Turing pattern outside of the Turing domain

open access: yesApplied Mathematics Letters, 2007
There are two simple solutions to reaction-diffusion systems with limit-cycle reaction kinetics, producing oscillatory behaviour. The reaction parameter mu gives rise to a 'space-invariant' solution, and mu versus the ratio of the diffusion coefficients gives rise to a 'time-invariant' solution.
Flach, E, Schnell, S, Norbury, J
openaire   +4 more sources

Density-dependent effects on Turing patterns and steady state bifurcation in a Beddington–DeAngelis-type predator–prey model

open access: yesBoundary Value Problems, 2019
In this paper, Turing patterns and steady state bifurcation of a diffusive Beddington–DeAngelis-type predator–prey model with density-dependent death rate for the predator are considered.
Hongwu Xu, Shengmao Fu
doaj   +1 more source

Influence of temperature on Turing pattern formation

open access: yesProceedings of the Royal Society A, 2020
The Turing instability is one of the most commonly studied mechanisms leading to pattern formation in reaction–diffusion systems, yet there are still many open questions on the applicability of the Turing mechanism.
R. V. Van Gorder
semanticscholar   +1 more source

Information Thermodynamics of Turing Patterns [PDF]

open access: yesPhysical Review Letters, 2018
5 pages, 3 ...
Falasco G., Rao R., Esposito M.
openaire   +5 more sources

Home - About - Disclaimer - Privacy