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Mode locking the cell cycle.

Frederick R Cross1, Eric D Siggia

  • 1The Rockefeller University, 1230 York Avenue, New York, New York, 10021, USA. fcross@mail.rockefeller.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2005
PubMed
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This study explores mode locking in the budding yeast cell cycle, a key behavior in nonlinear systems. We identified critical variables for external signal coupling, suggesting potential experimental avenues.

Area of Science:

  • Systems Biology
  • Biophysics
  • Cell Cycle Regulation

Background:

  • Nonlinear oscillatory systems exhibit mode locking, synchronizing with external periodic signals.
  • In an n:m mode-locked state, the system completes n oscillations for every m of the driving signal, maintaining phase coherence.

Purpose of the Study:

  • To investigate mode locking in a mathematical model of the budding yeast cell cycle.
  • To identify key variables for coupling external stimuli to the cell cycle oscillator.
  • To assess the feasibility and informativeness of experimental studies for this model.

Main Methods:

  • Mathematical modeling of the budding yeast cell cycle.
  • Analysis of system dynamics under external periodic forcing.
  • Identification of sensitive parameters and coupling variables.

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Main Results:

  • The study identified specific variables crucial for effective coupling of external stimuli to the yeast cell cycle oscillator.
  • The n:m mode-locking phenomenon was analyzed within the context of this biological oscillator.
  • The research provides insights into the quantitative relationships governing cell cycle response to external signals.

Conclusions:

  • External stimuli can effectively drive and synchronize the budding yeast cell cycle through mode locking.
  • Understanding these coupling mechanisms is vital for controlling cell cycle progression.
  • The findings support the potential for informative experiments in model organisms like budding yeast.