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

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Sielewiesiuk J., Łopaciuk A.
Annales Universitatis Mariae Curie-Skłodowska, sectio AAA – Physica
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2012
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vol. 67
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issue 1
33-45
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: [...]
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