Results 41 to 50 of about 117,517 (263)

Correspondences Between Parameters in a Reaction-Diffusion Model and Connexin Functions During Zebrafish Stripe Formation

Frontiers in Physics, 2022
Different diffusivities among interacting substances actualize the potential instability of a system. When these elicited instabilities manifest as forms of spatial periodicity, they are called Turing patterns.
Akiko M. Nakamasu
doaj   +1 more source

Differential susceptibility to noise of mixed Turing and Hopf modes in a photosensitive chemical medium [PDF]

, 2007
We report on experiments with the photosensitive chlorine dioxide-iodine-malonic acid reaction (CDIMA) when forced with a random (spatiotemporally) distributed illumination. Acting on a mixed mode consisting of oscillating spots, close enough to the Hopf
Alonso Muñoz, Sergio, Míguez, David G., Sagués Mestres, Francesc   +2 more
core   +1 more source

Turing pattern formation in the Brusselator system with nonlinear diffusion [PDF]

, 2013
In this work we investigate the effect of density dependent nonlinear diffusion on pattern formation in the Brusselator system. Through linear stability analysis of the basic solution we determine the Turing and the oscillatory instability boundaries.
Gambino, G., Lombardo, M. C., Sammartino, M., Sciacca, V.   +3 more
core   +1 more source

Features requirement elicitation process for designing a chatbot application

IET Networks, EarlyView., 2022
This article seeks to assist the chatbot community by outlining the characteristics that a chatbot needs to possess and explaining how to create a chatbot for a bank. In order to determine which capabilities are most crucial to ending users, a study of a small sample of chatbot users was conducted.
Nurul Muizzah Johari, Puteri N. E. Nohuddin, Ahmad Hanif Ahmad Baharin, Noor Azuddin Yakob, Mohammad Javad Ebadi   +4 more
wiley   +1 more source

Pattern Formation in a Semi-Ratio-Dependent Predator-Prey System with Diffusion

Discrete Dynamics in Nature and Society, 2013
We investigate spatiotemporal dynamics of a semi-ratio-dependent predator-prey system with reaction-diffusion and zero-flux boundary. We obtain the conditions for Hopf, Turing, and wave bifurcations of the system in a spatial domain by making use of the ...
Hunki Baek, Dong Ick Jung, Zhi-wen Wang
doaj   +1 more source

Pattern formation in finite size non-equilibrium systems and models of morphogenesis [PDF]

, 1994
Two canonical pattern forming systems, the Rayleigh-Benard convection and the Turing mechanism for biological pattern formation, are compared. The similarity and fundamental differences in the mathematical structure of the two systems are addressed, with
Chen, Yih-Yuh, Cross, M. C.
core   +1 more source

Labyrinthine Turing Pattern Formation in the Cerebral Cortex [PDF]

, 2002
I propose that the labyrinthine patterns of the cortices of mammalian brains may be formed by a Turing instability of interacting axonal guidance species acting together with the mechanical strain imposed by the interconnecting axons.Comment: See home ...
BAIER, BARD, CARTWRIGHT, CASTETS, DICKSTEIN, DOBYNS, ERNST, FITZHUGH, FITZHUGH, GOLDSTEIN, GOODHILL, GOODWIN, GRIFFIN, HENTSCHEL, JUDD, JULYAN H.E. CARTWRIGHT, KAUFFMAN, KOCH, KONDO, MEINHARDT, MURATOV, MURRAY, MURRAY, NAGUMO, ODELL, OSTER, OUYANG, RAGHAVAN, RAKIC, RAMÓN Y CAJAL, RICHMAN, SCANNELL, SEUL, TESSIER-LAVIGNE, TODD, TURING, VAN DER POL, VAN ESSEN, WATZL, WITELSON, ZHENG, ZILLES   +41 more
core   +3 more sources

Globally Stable Microresonator Turing Pattern Formation for Coherent High-Power THz Radiation On-Chip

Physical Review X, 2017
In nonlinear microresonators driven by continuous-wave (cw) lasers, Turing patterns have been studied in the formalism of the Lugiato-Lefever equation with emphasis on their high coherence and exceptional robustness against perturbations. Destabilization
Shu-Wei Huang, Jinghui Yang, Shang-Hua Yang, Mingbin Yu, Dim-Lee Kwong, T. Zelevinsky, Mona Jarrahi, Chee Wei Wong   +7 more
doaj   +1 more source

Emergence of Turing Patterns in a Simple Cellular Automata-Like Model via Exchange of Integer Values between Adjacent Cells

Discrete Dynamics in Nature and Society, 2020
The Turing pattern model is one of the theories used to describe organism formation patterns. Using this model, self-organized patterns emerge due to differences in the concentrations of activators and inhibitors. Here a cellular automata (CA)-like model
Takeshi Ishida
doaj   +1 more source

Pattern Formation Mechanisms of Spatiotemporally Discrete Activator–Inhibitor Model with Self- and Cross-Diffusions

Fractal and Fractional
In this paper, we aim to solve the issue of pattern formation mechanisms in a spatiotemporally discrete activator–inhibitor model that incorporates self- and cross-diffusions.
You Li, Ying Sun, Jingyu Luo, Jiayi Pang, Bingjie Liu   +4 more
doaj   +1 more source