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Reference: K. M. Page, P. K. Maini and N. A. M. Monk, (2005). Complex pattern formation in reaction diffusion systems with spatially-varying parameters.Citable link to this page:

 

Complex pattern formation in reaction diffusion systems with spatially-varying parameters

Abstract: Spontaneous pattern formation in reaction–diffusion systems on a spatially homogeneous domain has been well studied. However, in embryonic development and elsewhere, pattern formation often takes place on a spatially heterogeneous background. We explore the effects of spatially varying parameters on pattern formation in one and two dimensions using the Gierer–Meinhardt reaction–diffusion model. We investigate the effect of the wavelength of a pre-pattern and demonstrate a novel form of moving pattern. We find that spatially heterogeneous parameters can both increase the range and complexity of possible patterns and enhance the robustness of pattern selection.

Bibliographic Details

Issue Date: 2005Identifiers

Urn: uuid:c150693a-f579-44dc-8b2f-1d13ba8d67cc Item Description

Type: Article;

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Author: K. M. Page - - - P. K. Maini - - - N. A. M. Monk - - - - Bibliographic Details Issue Date: 2005 - Identifiers Urn: uuid:c150693a-

Source: https://ora.ox.ac.uk/objects/uuid:c150693a-f579-44dc-8b2f-1d13ba8d67cc



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