This Article Full Text Full Text (PDF) All Versions of this Article: biophysj.107.128678v1 95/4/1658    most recent Alert me when this article is cited Alert me if a correction is posted Services Similar articles in this journal Similar articles in PubMed Alert me to new issues of the journal Download to citation manager Citing Articles Citing Articles via HighWire Google Scholar Articles by Taylor, S. R. Articles by Petzold, L. R. PubMed PubMed Citation Articles by Taylor, S. R. Articles by Petzold, L. R.

Oscillator Model Reduction Preserving the Phase Response: Application to the Circadian Clock

Stephanie R. Taylor ^*, Francis J. Doyle, 3rd   and Linda R. Petzold ^*

^* Department of Computer Science, Department of Chemical Engineering, and Department of Biomolecular Sciences and Engineering, University of California, Santa Barbara, California

Correspondence: Address reprint requests to Linda R. Petzold, Tel.: 805-893-5362; E-mail: petzold{at}cs.ucsb.edu.

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.

This article has been cited by other articles:

				S. Hildebrandt, D. Raden, L. Petzold, A. S. Robinson, and F. J. Doyle III A Top-Down Approach to Mechanistic Biological Modeling: Application to the Single-Chain Antibody Folding Pathway Biophys. J., October 15, 2008; 95(8): 3535 - 3558. [Abstract] [Full Text] [PDF]