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Nonlinear dynamics with chaotic processes in biotechnology and genetic engineering.

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This paper deals with modeling genetic systems activity during manipulation of an organism’s genes using biotechnology. Computational experiments show that at certain values of internal and external cellular conditions there are exist the following regimes: stationary state, autooscillations and chaotic behavior of gene regulatory network linkages.

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# modeling# functional-differential equation# biotechnology# genetic engineering# chaotic processes# chaos# nonlinear dynamics

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Foydalanilgan adabiyotlar

1. Salgado, H., Santos, A., Garza-Ramos, U., van Helden, J., DМaz, E., and Collado-Vides, J. 2000. RegulonDB (version 2.0): A database on transcriptional regulation in Escherichia coli. Nucl. Acids Res. 27( 1), 59 - 60. 2. Kolpakov, F. A., Ananko, E. A., Kolesov, G. B., and Kolchanov, N. A. 1999. GeneNet: A gene network database and its automated visualization. Bioinformatics 14( 6), 529-53710. 3. Campbell, Jarryd M. et al. “The New and TALENted Genome Engineering Toolbox.” Circulation research 113.5 (2013): 571–587. PMC. Web. 18 Sept. 2018. 4. Tzanev R., Sendov Bl. A model of the regulatory mechanism of cellular multiplication, J. Theoret. Biol., New York, 12, (1966), 327-341. 5. Hidirov B.N. Selected works on mathematical modeling living system regulatorika. Moscow, 2014. 304 p. 6. Hidirov B.N. Mathematical modeling of regulation mechanisms of living systems // International Scientific and Practical Conference «Innovation - 2001», Тashkent, 2001, pp 156-158 7. Saidalieva M. Modelling of regulation mechanisms of cellular communities //Scientiae Mathematicae Japanicae. - Vol.8 (2003). - P. 463-469. 8. Hidirov B.N. Living systems regulatorika: the main equations //Doclady ANRUz, 1998.-№ 3.- pp. 26-29. 9. Hidirov B.N. Modelling of regulation mechanisms of living system //Scientiae Mathematicae Japanicae. - Vol. 8 (2003). - P. 419-425. 10. Hidirov B.N., Saidalieva M. Chaos research in autonomous regulating systems //Proceedings of the WCIS - 2000. Tashkent. (2000). - P. 138 – 140.

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