Abstract
A system of two delayed differential equations is under study which models the autoregulation of Hes7 protein synthesis. In particular, an algorithm is developed for constructing a neutrality curve for various functions describing the dimerization of the Hes7 transcription factor. The conditions are pointed out under which the framework of the model admits the activity at three sites.
Similar content being viewed by others
References
S. Zeiser, H.V. Liebscher, H. Tiedemann, I. Rubio-Aliaga, G. K. Przemeck, M. H. de Angelis, and G. Winkler, “Number of Active Transcription Factor Binding Sites is Essential for the Hes7 Oscillator,” Theor. Biol.Med. Modelling 3 (2006); doi:10.1186/1742-4682-3-11.
V.A. Likhoshvai, S. I. Fadeev, G.V. Demidenko, and Yu. G. Matushkin, “Modeling of a Substance Multistage Synthesis Without Branching by a Delay Differential Equation,” Sibirsk. Zh. Indust. Mat. 7(1), 73–94 (2004).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © S.I. Fadeev, N.A. Omel’yanchuk, V.A. Likhoshvai, 2008, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2008, Vol. XI, No. 1, pp. 131–140.
Rights and permissions
About this article
Cite this article
Fadeev, S.I., Omel’yanchuk, N.A. & Likhoshvai, V.A. Study of a mathematical model for the autoregulation of Hes7 protein synthesis. J. Appl. Ind. Math. 3, 334–342 (2009). https://doi.org/10.1134/S199047890903003X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S199047890903003X