| Cell cycle control at the first restriction point and its effect on tissue growth. | |
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MedLine Citation:
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PMID: 19685243 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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Cell cycle is controlled at two restriction points, R (1) and R (2). At both points the cell will commit apoptosis if it detects irreparable damage. But at R (1) an undamaged cell also decides whether to proceed to the S phase or go into a quiescent mode, depending on the environmental conditions (e.g., overpopulation, hypoxia). We consider the effect of this decision at the population level in a spherical tissue {r < R(t)}. We prove that if the cells have full control at R (1), they can manipulate the size of R(t) to ensure that 0 < c <or= R(t) <or= C < infinity; simulations further show that R(t) can be made nearly stationary. In the absence of such control, R(t) will either increase to infinity or decrease to 0. The mathematical model and analysis involve a system of PDEs in {r < R(t)}. |
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Authors:
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Avner Friedman; Bei Hu; Chiu-Yen Kao |
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Publication Detail:
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Type: Journal Article; Research Support, U.S. Gov't, Non-P.H.S. Date: 2009-08-15 |
Journal Detail:
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Title: Journal of mathematical biology Volume: 60 ISSN: 1432-1416 ISO Abbreviation: J Math Biol Publication Date: 2010 Jun |
Date Detail:
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Created Date: 2010-03-29 Completed Date: 2010-07-08 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 7502105 Medline TA: J Math Biol Country: Germany |
Other Details:
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Languages: eng Pagination: 881-907 Citation Subset: IM |
Affiliation:
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Department of Mathematics, Mathematical Biosciences Institute, The Ohio State University, 231 West 18th Avenue, Columbus, OH 43210, USA. afriedman@math.ohio-state.edu |
Export Citation:
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| MeSH Terms | |
Descriptor/Qualifier:
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Animals Apoptosis Cell Cycle* Computer Simulation* Humans Models, Biological* |
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