Abstract
The problem of evaluation of parametric stability of three models of pro- and eukaryotic gene networks controlling ontogenetic processes has been defined and solved. Experimental schemes of testing gene networks for parametric stability based on the method of generalized threshold models were developed and realized as a software application. We studied the “sensitivity” of the functioning modes to random variations of the parameters in three model systems: λ phage development control system, Arabidopsis thaliana flower morphogenesis control subsystem, and gene subnetwork controlling early ontogeny of Drosophila melanogaster. The parametric stability was quantitatively assessed for these models.
Similar content being viewed by others
REFERENCES
Tchuraev R.N. 1991. A new method for the analysis of the dynamics of the molecular genetic control systems. I. Description of the method of generalized threshold models. J. Theor. Biol. 151, 71–87.
Galimzyanov A.V. 2nd International Conference on Bioinformatics of Genome Regulation and Structure. 2000. Novosibirsk, Russia. Proceeding. 1, 233–234.
Tchuraev R.N., Galimzyanov A.V. 2001. Modeling of actual eukaryotic control gene subnetworks based on the method of generalized threshold models, Mol. Biol. 35, 1088–1094.
Tchuraev R.N., Ratner V.A. in Issledovaniya po matematicheskoi genetike (Investigation of Mathematical Genetics), Ratner V.A., Ed., Novosibirsk: ITsiG, 1975, pp. 5–66.
Kananyan G.Gh., Ratner V.A., Tchuraev R.N. 1981. Enlarged model of lambda phage ontogenesis. J. Theor. Biol. 90, 301–315.
Arnol'd V.I. 2000. Zhestkie i myagkie matematicheskie modeli (Soft and Rigid Mathematical Models), Moscow: MTsNMO.
Mestl T., Plahte E., Omholt S.W. 1995. A mathematical framework for describing and analysing gene regulatory networks. J. Theor. Biol. 176, 291–300.
Vohradsky J. 2001. Neural model of the genetic network. J. Biol. Chem. 276, 36168–36173.
Green P.J. 1993. Control of mRNA stability in higher plants. Plant. Physiol. 102, 1065–1070.
Jackson D.A., Pombo A., Iborra F. 2000. The balance sheet for transcription: an analysis of nuclear RNA metabolism in mammalian cells. FASEB J. 14, 242–254.
Driever W., Nusslein-Volhard C. 1988. A gradient of bicoid protein in Drosophila embryo. Cell. 54, 83–93.
Manoukian A.S., Krause H.M. 1993. Control of segmental asymmetry in Drosophila embryos. Dev. 118, 785–796.
Myasnikova E., Samsonova A., Kozlov K., et al. 2001. Registration of the expression patterns of Drosophila segmentation genes by two independent methods. Bioinformatics. 17, 3–12. http://www.csa.ru/flyex.
Reinitz J., Sharp D.H. 1995. Mechanizm of eve stripe formation. Mech. Dev. 49, 133–158.
McAdams H.H, Arkin A. 1999. It's a noisy business! Genetic regulation at the nanomolar scale. Trends Genet. 15, 65–69.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tchuraev, R.N., Galimzyanov, A.V. On Parametric Stability of Gene Networks Controlling Ontogenetic Processes. Molecular Biology 37, 81–88 (2003). https://doi.org/10.1023/A:1022388930948
Issue Date:
DOI: https://doi.org/10.1023/A:1022388930948