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Size-dependent symmetry breaking in models for morphogenesis

Abstract:

A general property of dynamical systems is the appearance of spatial and temporal patterns due to a change of stability of a homogeneous steady state. Such spontaneous symmetry breaking is observed very frequently in all kinds of real systems, including the development of shape in living organisms. Many nonlinear dynamical systems present a wide variety of patterns with different shapes and symmetries. This fact restricts the applicability of these models to morphogenesis, since one often fin...

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Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Volume:
168
Pages:
61-72
Publication date:
2002-08-01
DOI:
ISSN:
0167-2789
URN:
uuid:857ddc33-a1d8-405c-86d8-840c8b66e06b
Source identifiers:
29513
Local pid:
pubs:29513

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