𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bifurcation of hexagonal patterns in a chemotaxis-diffusion-growth system

✍ Scribed by Takashi Okuda; Koichi Osaki

Book ID
113823932
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
473 KB
Volume
12
Category
Article
ISSN
1468-1218

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Analysis of propagating pattern in a che
Analysis of propagating pattern in a chemotaxis system
✍ M.R. Myerscough; J.D. Murray πŸ“‚ Article πŸ“… 1992 πŸ› Springer 🌐 English βš– 795 KB

We consider a cell-chemotaxis model which can generate spatially heterogeneous patterns in cell density and chemoattractant. A local perturbation about the uniform steady state propagates across the domain leaving behind a steady state pattern of standing peaks and troughs. We investigate this patte

Global analysis of pattern selection and
Global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems
✍ G. IzΓΊs; R. Deza; C. Borzi; H.S. Wio πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 637 KB

We study a piecewise linear version of a one-component monostable reaction diffusion model in a bounded domain, subjected to partially reflecting boundary conditions ("albedo" b.c.). We analyze the local and the global stability of the merging patterns and detect a bifurcation of the uniform solutio

A bifurcation analysis of pattern format
A bifurcation analysis of pattern formation in a diffusion governed morphogenetic field
✍ M. I. Granero; A. Porati; D. Zanacca πŸ“‚ Article πŸ“… 1977 πŸ› Springer 🌐 English βš– 283 KB

We discuss from an analytical point of view the mechanism of pre-pattern formation in a diffusion governed morphogenetic field. The model here considered is a normalized form of one of the models, proposed by Gierer and Meinhardt, based on the general principle of lateral inhibition. The results, ob