Results 61 to 70 of about 5,421,281 (277)

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

Bifurcation and Patterns Analysis for a Spatiotemporal Discrete Gierer-Meinhardt System

Mathematics, 2022
The Gierer-Meinhardt system is one of the prototypical pattern formation models. The bifurcation and pattern dynamics of a spatiotemporal discrete Gierer-Meinhardt system are investigated via the couple map lattice model (CML) method in this paper.
Biao Liu, Ranchao Wu
doaj   +1 more source

Spontaneous spatial fractal pattern formation in absorptive systems [PDF]

, 2012
We predict, for the first time to our knowledge, that purely-absorptive nonlinearity can support spontaneous spatial fractal pattern formation. A passive optical ring cavity with a thin slice of saturable absorber is analyzed.
Christian, J M, Huang, J G, McDonald, G S   +2 more
core   +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

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

Turing Instability and Pattern Formation in an Activator-Inhibitor System with Nonlinear Diffusion

, 2014
In this work we study the effect of density dependent nonlinear diffusion on pattern formation in the Lengyel--Epstein system. Via the linear stability analysis we determine both the Turing and the Hopf instability boundaries and we show how nonlinear ...
Gambino, G., Lombardo, M. C., Sammartino, M.   +2 more
core   +1 more source

Characterization of Turing diffusion-driven instability on evolving domains [PDF]

, 2012
In this paper we establish a general theoretical framework for Turing diffusion-driven instability for reaction-diffusion systems on time-dependent evolving domains.
A. Gierer, A. M. Oster, A. Madzvamuse, A. Madzvamuse, A. Madzvamuse, A. Madzvamuse, A. Madzvamuse, A. Madzvamuse, A. Madzvamuse, A. Turing, Anotida Madzvamuse, C. Chicone, C. Varea, C. Venkataraman, D. Daners, E. J. Crampin, E. J. Crampin, G. H. Golub, Georg Hetzer, H. Amann, I. Prigogine, J. D. Murray, J. Mierczynksi, J. Mierczynski, J. Mierczynski, J. Schnakenberg, K. J. Painter, L. Edelstein-Keshet, L. Solnica-Krezel, M. Chaplain, P. K. Maini, P. Weidemaier, Q. Ouyang, R. Denk, R. Denk, R. G. Plaza, R. Schnaubelt, S. Kondo, S. S. Liaw, S. Sick, V. Castets, Wenxian Shen, Y. Latushkin, Y. Shiferaw   +43 more
core   +1 more source

Key Features of Turing Systems are Determined Purely by Network Topology

Physical Review X, 2018
Turing’s theory of pattern formation is a universal model for self-organization, applicable to many systems in physics, chemistry, and biology. Essential properties of a Turing system, such as the conditions for the existence of patterns and the ...
Xavier Diego, Luciano Marcon, Patrick Müller, James Sharpe   +3 more
doaj   +1 more source

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems [PDF]

, 2012
Cellular gene expression is a complex process involving many steps, including the transcription of DNA and translation of mRNA; hence the synthesis of proteins requires a considerable amount of time, from ten minutes to several hours.
Baker, R. E., Gaffney, E. A., Maini, P. K., Seirin Lee, S, Woolley, T. E.   +4 more
core   +2 more sources