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

• Authors: Jan Sielewiesiuk , Agata Łopaciuk
• 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: [...]

• Publisher: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Journal: Annales Universitatis Mariae Curie-Skłodowska, sectio AAA – Physica
• Year: 2012
• Volume: 67
• Issue: 1
• Pages: 33-45

Dates

published

1 - 01 - 2012

online

15 - 05 - 2013

Contributors

author

Jan Sielewiesiuk

• Biophysics Department, Institute of Physics, Maria Curie-Skłodowska University pl. M. Curie-Skłodowskiej 1, 20-031 Lublin

author

Agata Łopaciuk

• 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]

Identifiers

DOI

10.2478/v10246-012-0013-6