Document Detail

Stabilization of telomeres in nonlinear models of proliferating cell lines.
MedLine Citation:
PMID:  17046024     Owner:  NLM     Status:  MEDLINE    
We analyse an age-structured model of telomere loss in a proliferating cell population. The cell population is divided into telomere classes, which shorten each round of division. The model consists of a nonlinear system of partial differential equations for the telomere classes. We prove that if the highest telomere class is exempted from mortality, then all the classes stabilize to a nontrivial equilibrium dependent on the initial state of cells in the highest telomere class.
Janet Dyson; Eva Sánchez; Rosanna Villella-Bressan; Glenn F Webb
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Publication Detail:
Type:  Journal Article     Date:  2006-09-16
Journal Detail:
Title:  Journal of theoretical biology     Volume:  244     ISSN:  0022-5193     ISO Abbreviation:  J. Theor. Biol.     Publication Date:  2007 Feb 
Date Detail:
Created Date:  2007-01-08     Completed Date:  2007-03-29     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0376342     Medline TA:  J Theor Biol     Country:  Netherlands    
Other Details:
Languages:  eng     Pagination:  400-8     Citation Subset:  IM    
Mansfield College, University of Oxford, Oxford, England.
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MeSH Terms
Cell Death
Cell Line, Tumor / ultrastructure*
Cell Proliferation
Logistic Models*
Models, Biological
Nonlinear Dynamics
Telomere / ultrastructure*

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