title: Oscillator model reduction preserving the phase response: application to the circadian clock.
abstract: Mathematical model reduction is a long-standing technique used both to gain insight into model subprocesses and to reduce the computational costs of simulation and analysis. A reduced model must retain essential features of the full model, which, traditionally, have been the trajectories of certain state variables. For biological clocks, timing, or phase, characteristics must be preserved. A key performance criterion for a clock is the ability to adjust its phase correctly in response to external signals. We present a novel model reduction technique that removes components from a single-oscillator clock model and discover that four feedback loops are redundant with respect to its phase response behavior. Using a coupled multioscillator model of a circadian clock, we demonstrate that by preserving the phase response behavior of a single oscillator, we preserve timing behavior at the multioscillator level.
authors.affiliation: Department of Computer Science, University of California, Santa Barbara, California, USA.
authors.forename: Stephanie R
authors.initials: SR
authors.lastname: Taylor
authors.forename: Francis J
authors.initials: FJ
authors.lastname: Doyle
authors.forename: Linda R
authors.initials: LR
authors.lastname: Petzold
mesh_terms: D000465:Algorithms; D001683:Biological Clocks / Q000502:physiology*; D002453:Cell Cycle / Q000502:physiology*; D018797:Cell Cycle Proteins / Q000502:physiology*; D002940:Circadian Rhythm / Q000502:physiology*; D003198:Computer Simulation; D008954:Models, Biological
chemical_list: D018797:Cell Cycle Proteins