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: De Gruyter Open
• Journal: Annales UMCS, Physica
• Year: 2012
• Volume: 67
• Issue: 1
• Pages: 33-45

Dates

published

1 - 01 - 2012

online

15 - 05 - 2013

References

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• [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