Literature DB >> 4067440

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

K B Hannsgen, J J Tyson.   

Abstract

The approach to steady-state size distribution is studied for a growing population of cells. The model incorporates cell growth at a linear rate and division into two equal daughters after a random time composed of an exponentially distributed phase and a constant deterministic phase.

Mesh：

Year:  1985        PMID： 4067440     DOI： 10.1007/BF00276487

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


  6 in total

1.  Cell growth and division. 3. Conditions for balanced exponential growth in a mathematical model.

Authors:  G I Bell
Journal:  Biophys J       Date:  1968-04       Impact factor: 4.033

2.  A note on the dispersionless growth law for single cells.

Authors:  E Trucco; G I Bell
Journal:  Bull Math Biophys       Date:  1970-12

3.  Globally asymptotic properties of proliferating cell populations.

Authors:  A Lasota; M C Mackey
Journal:  J Math Biol       Date:  1984       Impact factor: 2.259

4.  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

5.  Global asymptotic stability of the size distribution in probabilistic models of the cell cycle.

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

6.  Cell growth and division. I. A mathematical model with applications to cell volume distributions in mammalian suspension cultures.

Authors:  G I Bell; E C Anderson
Journal:  Biophys J       Date:  1967-07       Impact factor: 4.033
  6 in total
  8 in total

1.  Clustering in cell cycle dynamics with general response/signaling feedback.

Authors:  Todd R Young; Bastien Fernandez; Richard Buckalew; Gregory Moses; Erik M Boczko
Journal:  J Theor Biol       Date:  2011-10-08       Impact factor: 2.691

2.  Instability of the steady state solution in cell cycle population structure models with feedback.

Authors:  Balázs Bárány; Gregory Moses; Todd Young
Journal:  J Math Biol       Date:  2018-12-06       Impact factor: 2.259

3.  Cell cycle dynamics: clustering is universal in negative feedback systems.

Authors:  Nathan Breitsch; Gregory Moses; Erik Boczko; Todd Young
Journal:  J Math Biol       Date:  2014-05-10       Impact factor: 2.259

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

Authors:  J J Tyson; K B Hannsgen
Journal:  J Math Biol       Date:  1986       Impact factor: 2.259

5.  Noise-induced dispersion and breakup of clusters in cell cycle dynamics.

Authors:  Xue Gong; Gregory Moses; Alexander B Neiman; Todd Young
Journal:  J Theor Biol       Date:  2014-03-30       Impact factor: 2.691

6.  A mathematical model for analysis of the cell cycle in cell lines derived from human tumors.

Authors:  Britta Basse; Bruce C Baguley; Elaine S Marshall; Wayne R Joseph; Bruce van Brunt; Graeme Wake; David J N Wall
Journal:  J Math Biol       Date:  2003-05-15       Impact factor: 2.259

7.  Radiation-induced cell cycle perturbations: a computational tool validated with flow-cytometry data.

Authors:  Leonardo Lonati; Sofia Barbieri; Isabella Guardamagna; Andrea Ottolenghi; Giorgio Baiocco
Journal:  Sci Rep       Date:  2021-01-13       Impact factor: 4.379

8.  Cell cycle dynamics in a response/signalling feedback system with a gap.

Authors:  Xue Gong; Richard Buckalew; Todd Young; Erik Boczko
Journal:  J Biol Dyn       Date:  2014       Impact factor: 2.179
  8 in total

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