Cited by 449Gene Regulatory Network AnalysisCancer-related Molecular PathwaysMathematical Biology Tumor Growth

Modeling the cell division cycle: cdc2 and cyclin interactions.

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Tyson, J J·1991·Proceedings of the National Academy of Sciences

Abstract

The proteins cdc2 and cyclin form a heterodimer (maturation promoting factor) that controls the major events of the cell cycle. A mathematical model for the interactions of cdc2 and cyclin is constructed. Simulation and analysis of the model show that the control system can operate in three modes: as a steady state with high maturation promoting factor activity, as a spontaneous oscillator, or as an excitable switch. We associate the steady state with metaphase arrest in unfertilized eggs, the spontaneous oscillations with rapid division cycles in early embryos, and the excitable switch with growth-controlled division cycles typical of nonembryonic cells.

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Crossref · 10.1073/pnas.88.16.7328

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  • By examining 17 models from the systems biology literature, the paper showed that their parameter sensitivities all share striking common features deemed "sloppiness".

    “By examining 17 models from the systems biology literature [2,21,25,28–41], we showed that their parameter sensitivities all share striking common features deemed “sloppiness””

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Authors
Tyson, J. J.
Affiliations
Virginia Tech (US)
Corresponding author
Tyson, J J
Venue
Proceedings of the National Academy of Sciences
Published
1991-08-15
Volume
88
Issue
16
Pages
7328-7332
ISSN
  • 0027-8424 (ISSN-L)
  • 1091-6490
OpenAlex
W1996195324
Cited by
449
References
0
Citations by year
2026: 4 · 2025: 7 · 2024: 8 · 2023: 16 · 2022: 15 · 2021: 19 · 2020: 16 · 2019: 14 · 2018: 11 · 2017: 16 · 2016: 15 · 2015: 29 · 2014: 21 · 2013: 15 · 2012: 25
FWCI
1.85
Type
journal article
Language
en
Open access
Locations
  • Proceedings of the National Academy of Sciences (publishedVersion)
  • PubMed Central (publishedVersion)
  • PubMed (publishedVersion)
Funders
  • National Institutes of Health (5r01gm036809-03)
  • National Institute of General Medical Sciences (GM-36809)
Topics
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Gene Regulatory Network Analysis
  • Health Sciences › Medicine › Oncology › Cancer-related Molecular Pathways
  • Physical Sciences › Mathematics › Modeling and Simulation › Mathematical Biology Tumor Growth
Keywords
cell cycle, cdc2, cyclins, maturation-promoting factor, heterodimer, mathematical model, spontaneous oscillations, metaphase arrest, cell division, zygote, early embryo
MeSH terms
Animals, Cell Division, Kinetics, Mathematics, Mitosis, Models, Biological, Maturation-Promoting Factor, CDC2 Protein Kinase, Cyclins

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