Document Detail

Traveling wave solutions for a one-dimensional crawling nematode sperm cell model.
MedLine Citation:
PMID:  15293016     Owner:  NLM     Status:  MEDLINE    
In this paper, we proved that the one-dimensional crawling nematode sperm cell model proposed by Mogilner and Verzi (2003) supports traveling wave solutions if there is no disassembly of unbundled filaments in the cell. Uniqueness of traveling wave is established under additional assumptions and numerical examples are also given in the paper. Mathematical methods used include dynamical system techniques, implicit function theorem and global bifurcation theory.
Y S Choi; Juliet Lee; Roger Lui
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Publication Detail:
Type:  Journal Article     Date:  2004-01-02
Journal Detail:
Title:  Journal of mathematical biology     Volume:  49     ISSN:  0303-6812     ISO Abbreviation:  J Math Biol     Publication Date:  2004 Sep 
Date Detail:
Created Date:  2004-08-04     Completed Date:  2005-04-26     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  7502105     Medline TA:  J Math Biol     Country:  Germany    
Other Details:
Languages:  eng     Pagination:  310-28     Citation Subset:  IM    
Department of Mathematics, University of Connecticut, Storrs, CT 06269, USA.
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MeSH Terms
Cell Movement / physiology*
Cell Shape
Cytoskeleton / metabolism
Microfilaments / metabolism
Models, Biological*
Nematoda / cytology*,  physiology
Spermatozoa / cytology,  metabolism,  physiology*

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