Literature DB >> 7993932

Temporal variability in a system of coupled mitotic timers.

E I Volkov1, M N Stolyarov.   

Abstract

Cell proliferation is considered a periodic process governed by a relaxation timer. The collective behavior of a system composed of three identical relaxation oscillators in numerically studied under the condition that diffusion of the slow mode dominates. We demonstrate: (1) the existence of three periodic regimes with different periods and phase relations and an unsymmetrical, stable steady-state (USSS); (2) the coexistence of in-phase oscillations and USSS; (3) the coexistence of periodic attractors; and (4) the emergence of a two-loop limit cycle coexisting with both in-phase oscillations and a stable steady-state. The qualitative reasons for such a diversity and its possible role in the generation of cell cycle variability are discussed.

Mesh:

Year:  1994        PMID: 7993932     DOI: 10.1007/BF00198921

Source DB:  PubMed          Journal:  Biol Cybern        ISSN: 0340-1200            Impact factor:   2.086


  7 in total

1.  Nonrandom structures in the locomotor behavior of Halobacterium: a bifurcation route to chaos?

Authors:  A Schimz; E Hildebrand
Journal:  Proc Natl Acad Sci U S A       Date:  1992-01-15       Impact factor: 11.205

2.  Coupling among three chemical oscillators: Synchronization, phase death, and frustration.

Authors: 
Journal:  Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics       Date:  1993-02

3.  Differences in growth factor sensitivity between individual 3T3 cells arise at high frequency: possible relevance to cell senescence.

Authors:  R F Brooks; P N Riddle
Journal:  Exp Cell Res       Date:  1988-02       Impact factor: 3.905

4.  The role of lipid and antioxidant exchanges in cell division synchronization (mathematical model).

Authors:  A T Mustafin; E I Volkov
Journal:  Biol Cybern       Date:  1984       Impact factor: 2.086

5.  [Mathematical model of lipid peroxidation in membranes].

Authors:  E I Volkov; A T Mustafin
Journal:  Izv Akad Nauk SSSR Biol       Date:  1985 Nov-Dec

6.  A mathematical model of periodic processes in membranes (with application to cell cycle regulation).

Authors:  D S Chernavskii; E K Palamarchuk; A A Polezhaev; G I Solyanik; E B Burlakova
Journal:  Biosystems       Date:  1977-12       Impact factor: 1.973

7.  Biological rhythms and the behavior of populations of coupled oscillators.

Authors:  A T Winfree
Journal:  J Theor Biol       Date:  1967-07       Impact factor: 2.691

  7 in total
  1 in total

1.  Diverse routes to oscillation death in a coupled oscillator system.

Authors:  José J Suárez-Vargas; Jorge A González; Aneta Stefanovska; Peter V E McClintock
Journal:  Europhys Lett       Date:  2009-02-13       Impact factor: 1.947

  1 in total

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