Skip to main content
Log in

Study of a mathematical model for the autoregulation of Hes7 protein synthesis

  • Published:
Journal of Applied and Industrial Mathematics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. 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.

  2. 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).

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. I. Fadeev.

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

Reprints 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

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S199047890903003X

Keywords

Navigation