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Mathematical Determination of Cell Population Doubling Times for Multiple Cell Lines.
MedLine Citation:
PMID:  22914970     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
Cell cycle times are vital parameters in cancer research, and short cell cycle times are often related to poor survival of cancer patients. A method for experimental estimation of cell cycle times, or doubling times of cultured cancer cell populations, based on addition of paclitaxel (an inhibitor of cell division) has been proposed in literature. We use a mathematical model to investigate relationships between essential parameters of the cell division cycle following inhibition of cell division. The reduction in the number of cells engaged in DNA replication reaches a plateau as the concentration of paclitaxel is increased; this can be determined experimentally. From our model we have derived a plateau log reduction formula for proliferating cells and established that there are linear relationships between the plateau log reduction values and the reciprocal of doubling times (i.e. growth rates of the populations). We have therefore provided theoretical justification of an important experimental technique to determine cell doubling times. Furthermore, we have applied Monte Carlo experiments to justify the suggested linear relationships used to estimate doubling time from 5-day cell culture assays. We show that our results are applicable to cancer cell populations with cell loss present.
Authors:
Liene Daukste; Britta Basse; Bruce C Baguley; David J N Wall
Publication Detail:
Type:  JOURNAL ARTICLE     Date:  2012-8-23
Journal Detail:
Title:  Bulletin of mathematical biology     Volume:  -     ISSN:  1522-9602     ISO Abbreviation:  Bull. Math. Biol.     Publication Date:  2012 Aug 
Date Detail:
Created Date:  2012-8-23     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0401404     Medline TA:  Bull Math Biol     Country:  -    
Other Details:
Languages:  ENG     Pagination:  -     Citation Subset:  -    
Affiliation:
Biomathematics Research Centre, Department of Mathematics and Statistics, University of Canterbury, Private Bag 4800, Christchurch, 8140, New Zealand.
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