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2012 | 67 | 1 | 33-45
Article title

Regulation of gene expression by Goodwin’s loop with many genes

Content
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Languages of publication
EN
Abstracts
EN
The paper presents a simple analysis of a long Goodwin’s loop containing many genes. The genes form a closed series. The rate of transcription of any gene is up or down regulated by theprotein product of the preceding gene. We describe the loop with a system of ordinary differential equations of order s. Oscillatory solutions of the system are possible at the odd number of repressions and any number of inductions if the product of all Hill’s coefficients, related to both repressions and inductions, is larger than: [...]
Keywords
Publisher

Year
Volume
67
Issue
1
Pages
33-45
Physical description
Dates
published
1 - 01 - 2012
online
15 - 05 - 2013
Contributors
  • Biophysics Department, Institute of Physics, Maria Curie-Skłodowska University pl. M. Curie-Skłodowskiej 1, 20-031 Lublin
References
  • [1] Goodwin, B. C., Oscillatory behavior in enzymatic control processes, Advances in EnzymeRegulation 3 (1965), 425-438.
  • [2] Goodwin, B. C., An entrainment model for timed enzyme synthesis in bacteria, Nature 209 (1966), 479-481.
  • [3] Invernizzi, S., Treu, G., Quantitative analysis of the Hopf bifurcation in the Goodwin n-dimensional metabolic control system, J. Math. Biol. 29 (1991), 733-742. [Crossref]
  • [4] Müller, S., Hofbauer, J., Endler, L., Flamm, Ch., Widder, S., Schuster, P., A generalized model of the repressilator, J. Math. Biol. 53 (2006), 905-937. [Crossref]
  • [5] Purcell, O., Savery, N. J., Grierson, C. S., di Bernardo, M., A comparative analysis of synthetic genetic oscillators, J. R. Soc. Interface, doi:10.1098/rsif.2010.0183, Published online. [Crossref]
  • [6] Smith, H., Oscillations and multiple steady states in a cyclic gene model with repression, J.Math. Biol. 25 (1987), 169-190.[Crossref]
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_v10246-012-0013-6
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