A non-linear analysis of Turing pattern formation.
Journal
PloS one
ISSN: 1932-6203
Titre abrégé: PLoS One
Pays: United States
ID NLM: 101285081
Informations de publication
Date de publication:
2019
2019
Historique:
received:
08
06
2019
accepted:
28
07
2019
entrez:
10
8
2019
pubmed:
10
8
2019
medline:
4
3
2020
Statut:
epublish
Résumé
Reaction-diffusion schemes are widely used to model and interpret phenomena in various fields. In that context, phenomena driven by Turing instabilities are particularly relevant to describe patterning in a number of biological processes. While the conditions that determine the appearance of Turing patterns and their wavelength can be easily obtained by a linear stability analysis, the estimation of pattern amplitudes requires cumbersome calculations due to non-linear terms. Here we introduce an expansion method that makes possible to obtain analytical, approximated, solutions of the pattern amplitudes. We check and illustrate the reliability of this methodology with results obtained from numerical simulations.
Identifiants
pubmed: 31398237
doi: 10.1371/journal.pone.0220994
pii: PONE-D-19-15533
pmc: PMC6688798
doi:
Types de publication
Journal Article
Research Support, N.I.H., Extramural
Langues
eng
Sous-ensembles de citation
IM
Pagination
e0220994Subventions
Organisme : NIGMS NIH HHS
ID : R15 GM123422
Pays : United States
Déclaration de conflit d'intérêts
The authors have declared that no competing interests exist.
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