Cited by 37Circadian rhythm and melatoninNonlinear Dynamics and Pattern FormationGene Regulatory Network Analysis

Oscillator model reduction preserving the phase response: Application to the circadian clock

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Taylor, Stephanie R., Doyle, Francis J., Petzold, Linda R.·2008·Biophysical Journal

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.

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Crossref · 10.1529/biophysj.107.128678

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Authors
Taylor, S. R., Doyle, F. J., & Petzold, L. R.
Affiliations
University of California, Santa Barbara (US)
Corresponding author
Petzold, Linda R.
Venue
Biophysical Journal
Publisher
Elsevier BV
Published
2008-08
Volume
95
Issue
4
Pages
1658-1673
ISSN
0006-3495 (ISSN-L)
OpenAlex
W2093549234
Cited by
37
References
52
Citations by year
2026: 2 · 2023: 1 · 2022: 2 · 2021: 4 · 2020: 3 · 2018: 2 · 2017: 4 · 2015: 1 · 2014: 4 · 2013: 1 · 2012: 2
FWCI
1.63
Type
journal article
Language
en
Open access
Locations
  • Biophysical Journal (publishedVersion)
  • PubMed Central (publishedVersion)
  • PubMed (publishedVersion)
Funders
  • National Science Foundation
  • National Institutes of Health (EB007511)
  • National Institute of General Medical Sciences (GM078993)
  • Army Research Office (W911NF-07-1-0279)
  • Institute for Collaborative Biotechnologies (DAAD19-03-D-0004)
Topics
  • Life Sciences › Neuroscience › Endocrine and Autonomic Systems › Circadian rhythm and melatonin
  • Physical Sciences › Computer Science › Computer Networks and Communications › Nonlinear Dynamics and Pattern Formation
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Gene Regulatory Network Analysis
Keywords
model reduction, phase response, circadian clock, biological clock, timing behavior, coupled oscillators
MeSH terms
Algorithms, Biological Clocks, Cell Cycle, Circadian Rhythm, Computer Simulation, Models, Biological, Cell Cycle Proteins

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