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Superposition of modes in a caricature of a model for morphogenesis.

Abstract:
In a model proposed for cell pattern formation by Nagorcka et al. (J. Theor. Biol. 1987) linear analysis revealed the possibility of an initially spatially uniform cell density going unstable to perturbations of two distinct spatial modes. Here we examine a simple one-dimensional caricature of their model which exhibits similar linear behaviour and present a nonlinear analysis which shows the possibility of superposition of modes subject to appropriate parameter values and initial conditions.
Publication status:
Published

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Publisher copy:
10.1007/bf00178779

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
Journal of mathematical biology
Volume:
28
Issue:
3
Pages:
307-315
Publication date:
1990-01-01
DOI:
EISSN:
1432-1416
ISSN:
0303-6812
URN:
uuid:97e8822a-1098-4147-9d57-75d5b582e7fa
Source identifiers:
11295
Local pid:
pubs:11295
Language:
English
Keywords:

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