Angelova, Maia and Ben Halim, Asma (2011) Dynamic model of gene regulation for the lac operon. Journal of Physics: Conference Series, 286 (1). ISSN 1742-6596
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Abstract
Gene regulatory network is a collection of DNA which interact with each other and with other matter in the cell. The lac operon is an example of a relatively simple genetic network and is one of the best-studied structures in the Escherichia coli bacteria. In this work we consider a deterministic model of the lac operon with a noise term, representing the stochastic nature of the regulation. The model is written in terms of a system of simultaneous first order differential equations with delays. We investigate an analytical and numerical solution and analyse the range of values for the parameters corresponding to a stable solution.
Item Type: | Article |
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Subjects: | F300 Physics |
Department: | Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering |
Depositing User: | EPrint Services |
Date Deposited: | 11 Aug 2011 12:04 |
Last Modified: | 17 Dec 2023 11:35 |
URI: | https://nrl.northumbria.ac.uk/id/eprint/103 |
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