Cited by 49Gene Regulatory Network AnalysisMathematical Biology Tumor GrowthMicrotubule and mitosis dynamics

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Globally optimised parameters for a model of mitotic control in frog egg extracts.

Zwolak, J.W., Tyson, J.J., Watson, L.T.·2005·IEE Proceedings - Systems Biology

Abstract

DNA synthesis and nuclear division in the developing frog egg are controlled by fluctuations in the activity of M-phase promoting factor (MPF). The biochemical mechanism of MPF regulation is most easily studied in cytoplasmic extracts of frog eggs, for which careful experimental studies of the kinetics of phosphorylation and dephosphorylation of MPF and its regulators have been made. In 1998 Marlovits et al. used these data sets to estimate the kinetic rate constants in a mathematical model of the control system originally proposed by Novak & Tyson. In a recent publication, we showed that a gradient-based optimisation algorithm finds a locally optimal parameter set quite close to the 'Marlovits' estimates. In this paper, we combine global and local optimisation strategies to show that the 'refined Marlovits' parameter set, with one minor but significant modification to the Novak & Tyson equations, is the unique, best-fitting solution to the parameter estimation problem.

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Metadata

Authors
Zwolak, J. W., Tyson, J. J., & Watson, L. T.
Affiliations
Virginia Tech (US)
Venue
IEE Proceedings - Systems Biology
Published
2005
Volume
152
Issue
2
Pages
81
ISSN
1741-2471 (ISSN-L)
OpenAlex
W2071026449
Cited by
49
References
0
Citations by year
2022: 2 · 2020: 2 · 2016: 2 · 2015: 1 · 2014: 1 · 2012: 1
FWCI
2.49
Type
journal article
Language
en
Open access
closed
Locations
  • Systems Biology (publishedVersion)
  • PubMed (publishedVersion)
Topics
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Gene Regulatory Network Analysis
  • Physical Sciences › Mathematics › Modeling and Simulation › Mathematical Biology Tumor Growth
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Cell Biology › Microtubule and mitosis dynamics
Keywords
mitotic control, M-phase promoting factor, parameter estimation, global optimization, gradient-based optimization, nuclear division, DNA synthesis
MeSH terms
Animals, Cell Extracts, Computer Simulation, Cytoplasm, Feedback, Mitosis, Models, Biological, Ranidae, Signal Transduction, Cell Cycle Proteins

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