Pattern regulation in reaction-diffusion systems - The problem of size invariance
type: Item
instance of: scholarly article
title: Pattern regulation in reaction-diffusion systems - The problem of size invariance
zbMATH Open document ID: 0568.92001
author: A. Babloyantz
author: A. Bellemans
published in: Bulletin of Mathematical Biology
publication date: 1985-01-01T00:00:00Z
review text: Ordinary reaction-diffusion mechanisms do not account for size invariance properties of morphogenetic fields. We show that such a failure results from ignoring cell individuality. By considering purely topological factors, such as the number of intercellular contacts or the extent of the cell surface in contact with neighbouring cells, size invariance exists in reaction-diffusion systems. Our results are general, model independent and may be applied to any multi-unit ensemble exhibiting coherent behaviour.
Mathematics Subject Classification ID: 92B05
Mathematics Subject Classification ID: 34C99
zbMATH DE Number: 3908210
zbMATH Keywords: bifurcation theory
zbMATH Keywords: contact operators
zbMATH Keywords: biological pattern formation
zbMATH Keywords: morphogenetic gradients
zbMATH Keywords: reaction-diffusion mechanisms
zbMATH Keywords: size invariance properties of morphogenetic fields
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3908210