Control in Inhibitory Genetic Regulatory Network Models

被引：6
|
作者：
Ogorelova, D. [1 ]
Sadyrbaev, F. [1 ,2 ]
Sengileyev, V [1 ]
机构：
[1] Daugavpils Univ, Fac Nat Sci & Math, Daugavpils, Latvia
[2] Univ Latvia, Inst Math & Comp Sci, Riga, Latvia
来源：
CONTEMPORARY MATHEMATICS | 2020年 / 1卷 / 05期
关键词：
gene regulatory networks; control; attractors;
D O I：
10.37256/cm.152020538
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：393 / 400
页数：8
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