title: Mode locking the cell cycle.
abstract: A characteristic property of nonlinear oscillatory systems is their ability to mode lock to a periodic, external, driving signal. In an n:m mode-locked state, the driven system executes n oscillations to every m oscillations of the driving signal, with a constant phase relationship between the two oscillations. We investigate mode locking for a mathematical model of the cell cycle in budding yeast. We determine which variables are most effective in coupling an external stimulus to the cell cycle oscillator, and speculate about whether experiments are feasible and informative for this model organism.
authors.affiliation: The Rockefeller University, 1230 York Avenue, New York, New York, 10021, USA. fcross@mail.rockefeller.edu
authors.forename: Frederick R
authors.initials: FR
authors.lastname: Cross
authors.forename: Eric D
authors.initials: ED
authors.lastname: Siggia
mesh_terms: D001683:Biological Clocks / Q000502:physiology*; D002453:Cell Cycle / Q000502:physiology*; D018797:Cell Cycle Proteins / Q000378:metabolism*; D003198:Computer Simulation; D005246:Feedback / Q000502:physiology; D005786:Gene Expression Regulation / Q000502:physiology; D008954:Models, Biological; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*; D004718:Saccharomycetales / Q000502:physiology*; D015398:Signal Transduction / Q000502:physiology
chemical_list: D018797:Cell Cycle Proteins