Literature DB >> 3958637

Cell growth and division: a deterministic/probabilistic model of the cell cycle.

J J Tyson, K B Hannsgen.   

Abstract

A model of the cell cycle, incorporating a deterministic cell-size monitor and a probabilistic component, is investigated. Steady-state distributions for cell size and generation time are calculated and shown to be globally asymptotically stable. These distributions are used to calculate various statistical quantities, which are then compared to known experimental data. Finally, the results are compared to distributions calculated from a Monte-Carlo simulation of the model.

Mesh：

Year:  1986        PMID： 3958637     DOI： 10.1007/bf00276959

Source DB:  PubMed          Journal:  J Math Biol        ISSN： 0303-6812            Impact factor:   2.259


  20 in total

1.  A NOTE ON KOCH AND SCHAECHTER'S HYPOTHESIS ABOUT GROWTH AND FISSION OF BACTERIA.

Authors:  E O POWELL
Journal:  J Gen Microbiol       Date:  1964-11

2.  Growth, cell and nuclear divisions in some bacteria.

Authors:  M SCHAECHTER; J P WILLIAMSON; J R HOOD; A L KOCH
Journal:  J Gen Microbiol       Date:  1962-11

3.  Growth rate and generation time of bacteria, with special reference to continuous culture.

Authors:  E O POWELL
Journal:  J Gen Microbiol       Date:  1956-12

4.  Do cells cycle?

Authors:  J A Smith; L Martin
Journal:  Proc Natl Acad Sci U S A       Date:  1973-04       Impact factor: 11.205

5.  Cell size, cell cycle and transition probability in mouse fibroblasts.

Authors:  R Shields; R F Brooks; P N Riddle; D F Capellaro; D Delia
Journal:  Cell       Date:  1978-10       Impact factor: 41.582

6.  Cells regulate their proliferation through alterations in transition probability.

Authors:  R Shields; J A Smith
Journal:  J Cell Physiol       Date:  1977-06       Impact factor: 6.384

7.  The distributions of cell size and generation time in a model of the cell cycle incorporating size control and random transitions.

Authors:  J J Tyson; K B Hannsgen
Journal:  J Theor Biol       Date:  1985-03-07       Impact factor: 2.691

8.  Does the variability of the cell cycle result from one or many chance events?

Authors:  A L Koch
Journal:  Nature       Date:  1980-07-03       Impact factor: 49.962

9.  Stability of the steady-state size distribution in a model of cell growth and division.

Authors:  K B Hannsgen; J J Tyson
Journal:  J Math Biol       Date:  1985       Impact factor: 2.259

10.  Control of cell size and cycle time in Schizosaccharomyces pombe.

Authors:  P A Fantes
Journal:  J Cell Sci       Date:  1977-04       Impact factor: 5.285
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  9 in total

1.  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

2.  An immersed boundary method for simulating a single axisymmetric cell growth and division.

Authors:  Yibao Li; Ana Yun; Junseok Kim
Journal:  J Math Biol       Date:  2011-10-11       Impact factor: 2.259

3.  Asymptotic stability in a generalized probabilistic/deterministic model of the cell cycle.

Authors:  J Tyrcha
Journal:  J Math Biol       Date:  1988       Impact factor: 2.259

Review 4.  A survey of structured cell population dynamics.

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

5.  Quantitative analysis of the effects of iododeoxyuridine and ionising radiation treatment on the cell cycle dynamics of DNA mismatch repair deficient human colorectal cancer cells.

Authors:  Evren Gurkan-Cavusoglu; Jane E Schupp; Timothy J Kinsella; Kenneth A Loparo
Journal:  IET Syst Biol       Date:  2013-08-01       Impact factor: 1.615

6.  Stochastic E2F activation and reconciliation of phenomenological cell-cycle models.

Authors:  Tae J Lee; Guang Yao; Dorothy C Bennett; Joseph R Nevins; Lingchong You
Journal:  PLoS Biol       Date:  2010-09-21       Impact factor: 8.029

7.  Tubular cell loss in early inv/nphp2 mutant kidneys represents a possible homeostatic mechanism in cortical tubular formation.

Authors:  Masaki Shigeta; Hirotaka Kanazawa; Takahiko Yokoyama
Journal:  PLoS One       Date:  2018-06-11       Impact factor: 3.240

8.  A critical analysis of Powell's results on the interdivision time distribution.

Authors:  Vincent Quedeville; Jérôme Morchain; Philippe Villedieu; Rodney O Fox
Journal:  Sci Rep       Date:  2019-06-03       Impact factor: 4.379

Review 9.  Capturing Biomarkers and Molecular Targets in Cellular Landscapes From Dynamic Reaction Network Models and Machine Learning.

Authors:  Susan D Mertins
Journal:  Front Oncol       Date:  2022-01-21       Impact factor: 6.244
  9 in total

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