Document Detail


Turing pattern formation with two kinds of cells and a diffusive chemical.
MedLine Citation:
PMID:  17557185     Owner:  NLM     Status:  MEDLINE    
Abstract/OtherAbstract:
We study a three-variable Turing system with two kinds of cells and a diffusive chemical, considering the formation and maintenance of fish skin patterns with multiple pigment cells. The two types of cells are produced from undifferentiated cells. They inhibit the supply rate of the other cell type, forming local clusters of the same cell type. In addition, the cells of one type can be maintained only in the presence of a diffusive chemical produced by the other cell type, resulting in the coexistence of two cell types in heterogeneous spatial patterns. We assume linear interaction among cells and the chemical, and cell supply rates constrained to be positive or zero. We derive the condition for diffusion-driven instability. In one-dimensional model, we examine how the wavelength of the periodic pattern depends on parameters. In the two-dimensional model, we study the condition for spot, stripe or reversed spot pattern to emerge (pattern selection). We discuss heuristic criteria for the pattern selection.
Authors:
Koichiro Uriu; Yoh Iwasa
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Publication Detail:
Type:  Journal Article; Research Support, Non-U.S. Gov't     Date:  2007-06-08
Journal Detail:
Title:  Bulletin of mathematical biology     Volume:  69     ISSN:  0092-8240     ISO Abbreviation:  Bull. Math. Biol.     Publication Date:  2007 Nov 
Date Detail:
Created Date:  2007-10-26     Completed Date:  2008-01-08     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0401404     Medline TA:  Bull Math Biol     Country:  United States    
Other Details:
Languages:  eng     Pagination:  2515-36     Citation Subset:  IM    
Affiliation:
Department of Biology, Faculty of Sciences, Kyushu University, Fukuoka, 812-8581, Japan. uriu@bio-math10.biology.kyushu-u.ac.jp
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MeSH Terms
Descriptor/Qualifier:
Animals
Body Patterning / physiology*
Discriminant Analysis
Fishes / growth & development
Mathematics
Models, Biological*
Skin / cytology,  growth & development

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine


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