Control in Inhibitory Genetic Regulatory Network Models

Authors

  • D. Ogorelova Faculty of Natural Sciences and Mathematics, Daugavpils University, Daugavpils, Latvia
  • F. Sadyrbaev Faculty of Natural Sciences and Mathematics, Daugavpils University, Daugavpils; Institute of Mathematics and Computer Science, University of Latvia, Riga, Latvia
  • V. Sengileyev Faculty of Natural Sciences and Mathematics, Daugavpils University, Daugavpils, Latvia

DOI:

https://doi.org/10.37256/cm.152020538

Keywords:

gene regulatory networks, control, attractors

Abstract

The system of two the first order ordinary differential equations arising in the gene regulatory networks theory is studied. The structure of attractors for this system is described for three important behavioral cases: activation, inhibition, mixed activation-inhibition. The geometrical approach combined with the vector field analysis allows treating the problem in full generality. A number of propositions are stated and the proof is geometrical, avoiding complex analytic. Although not all the possible cases are considered, the instructions are given what to do in any particular situation.

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Published

2020-10-22

How to Cite

1.
Ogorelova D, Sadyrbaev F, Sengileyev V. Control in Inhibitory Genetic Regulatory Network Models. Contemp. Math. [Internet]. 2020 Oct. 22 [cited 2024 Apr. 18];1(5):393-400. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/538