Literature DB >> 6084152

Analysis of a cell cycle model based on unequal division of metabolic constituents to daughter cells during cytokinesis.

M Kimmel, Z Darzynkiewicz, O Arino, F Traganos.   

Abstract

We demonstrate that the unequal division of RNA during cytokinesis explains the dispersion of cell generation times in CHO cell cultures. Experimental cytometric results reported previously serve as a basis for a probabilistic model of cytokinesis. Unequal RNA division to daughter cells, together with two simple laws of RNA production, are used as a source of randomness within the cell cycle. The model reproduces the experimental growth of the CHO cell population, including the observed variability in RNA content. The model has stabilizing properties which explain why a cell population with increased RNA content characteristics, a few cell cycles, to the original pattern. Other cell cycle characteristics, like sister-to-sister and mother-to-daughter generation time correlations implied by the model, are close to their experimental analogs. The conceptual basis of the model is general enough to include unequal division of factors other than RNA (cell mass, cell proteins, etc.) as sources of generation time variability. It seems that the observed dispersion of cell generation times, explained previously in the terms of random transitions in some part of the cell cycle (the Smith & Martin A and B state hypothesis), can be reduced to the single random event of unequal division. This supplies a new convenient tool in the investigation of cell cycle kinetics.

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Year:  1984        PMID: 6084152     DOI: 10.1016/s0022-5193(84)80149-6

Source DB:  PubMed          Journal:  J Theor Biol        ISSN: 0022-5193            Impact factor:   2.691


  12 in total

1.  Asymmetric distribution of oncogene products at mitosis.

Authors:  B Czerniak; F Herz; R P Wersto; L G Koss
Journal:  Proc Natl Acad Sci U S A       Date:  1992-06-01       Impact factor: 11.205

2.  A nonlinear structured population model of tumor growth with quiescence.

Authors:  M Gyllenberg; G F Webb
Journal:  J Math Biol       Date:  1990       Impact factor: 2.259

3.  Asymptotic behavior of nonlinear semigroup describing a model of selective cell growth regulation.

Authors:  O Arino; M Kimmel
Journal:  J Math Biol       Date:  1991       Impact factor: 2.259

4.  A comprehensive continuous-time model for the appearance of CGH signal due to chromosomal missegregations during mitosis.

Authors:  Richard Desper; Michael J Difilippantonio; Thomas Ried; Alejandro A Schäffer
Journal:  Math Biosci       Date:  2005-09       Impact factor: 2.144

5.  Clonal aspects of plant cell proliferation and their applications to animal cells and bacteria.

Authors:  R W Korn
Journal:  Cell Prolif       Date:  2008-04-23       Impact factor: 6.831

6.  Asymptotic behavior of a nonlinear functional-integral equation of cell kinetics with unequal division.

Authors:  O Arino; M Kimmel
Journal:  J Math Biol       Date:  1989       Impact factor: 2.259

7.  A model of proliferating cell populations with inherited cycle length.

Authors:  G F Webb
Journal:  J Math Biol       Date:  1986       Impact factor: 2.259

Review 8.  A survey of structured cell population dynamics.

Authors:  O Arino
Journal:  Acta Biotheor       Date:  1995-06       Impact factor: 1.774

9.  An age-and-cyclin-structured cell population model for healthy and tumoral tissues.

Authors:  Fadia Bekkal Brikci; Jean Clairambault; Benjamin Ribba; Benoît Perthame
Journal:  J Math Biol       Date:  2007-12-07       Impact factor: 2.259

10.  Tumor cell heterogeneity: divided-colony assay for measuring drug response.

Authors:  T Kuczek; D E Axelrod
Journal:  Proc Natl Acad Sci U S A       Date:  1987-07       Impact factor: 11.205

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