PATTERN DYNAMICS OF A MULTI-COMPONENT REACTION–DIFFUSION SYSTEM: DIFFERENTIATION OF REPLICATING SPOTS

DOI10.1142/S0218127402006084zbMath1042.35029MaRDI QIDQ4736315

Hiroaki Takagi, Kunihiko Kaneko

Publication date: 9 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

morphogenesiscell differentiationGray-Scott modelspatiotemporal chaosprebiotic evolutionspatiotemporal intermittencyReaction-diffusion equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (1)

PATTERN FORMATION IN NOISY SELF-REPLICATING SPOTS

Cites Work

• Spiral wave structure in pre-biotic evolution: Hypercycles stable against parasites
• Pattern dynamics in spatiotemporal chaos. Pattern selection, diffusion of defect and pattern competition intermittency
• Spatio-temporal intermittency in coupled map lattices
• Emergence of rules in cell society: Differentiation, hierarchy, and stability
• Spatial dynamics of a model for prebiotic evolution
• Isologous diversification: A theory of cell differentiation
• Stability analysis of singular patterns in the 1D Gray-Scott model: a matched asymptotics approach
• A skeleton structure of self-replicating dynamics
• Cell division, differentiation and dynamic clustering
• Spatiotemporal Intermittency in Coupled Map Lattices
• Pattern formation in the one-dimensional Gray - Scott model
• WAVE-SPLITTING IN THE BISTABLE GRAY-SCOTT MODEL
• The chemical basis of morphogenesis
• Excitability, wave reflection, and wave splitting in a cubic autocatalysis reaction-diffusion system
• Spatio-temporal chaos for the Gray-Scott model
• Cluster compartmentalization may provide resistance to parasites for catalytic networks

This page was built for publication: PATTERN DYNAMICS OF A MULTI-COMPONENT REACTION–DIFFUSION SYSTEM: DIFFERENTIATION OF REPLICATING SPOTS