Mathematical Analysis of Gene Regulation Activator Model

被引：0

作者：

Ismail, Samar M. ^{[1
]}

Said, Lobna A. ^{[2
]}

Radwan, Ahmed G. ^{[2
,3
]}

Madian, Ahmed H. ^{[2
,4
]}

Abu-ElYazeed, Mohamed F. ^{[5
]}

机构：

[1] GUC, Fac IET, New Cairo, Egypt

[2] Nile Univ, NISC Res Ctr, Cairo, Egypt

[3] Cairo Univ, Dept Engn Math & Phys, Giza, Egypt

[4] Egyptian Atom Energy Author, NCRRT, Radiat Engn Dept, Cairo, Egypt

[5] Cairo Univ, Elect & Comm Engn Dept, Giza, Egypt

来源：

2018 7TH INTERNATIONAL CONFERENCE ON MODERN CIRCUITS AND SYSTEMS TECHNOLOGIES (MOCAST) | 2018年

关键词：

Gene regulation; transcription; translation; activator; modeling; stability;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper presents a complete analysis of the mathematical model of the gene regulation process. The model describes the induced gene expression under the effect of activators. The model differential equations are solved analytically, and the exact solution of the gene model is introduced. Moreover, a study of the model dynamics, including the fixed points and stability conditions are presented. The parameters effects on the phase plane portraits and the transient responses of the mRNA as well as the protein concentrations are intensively detailed. This work serves as a brick stone towards a complete model for a complete gene regulation biological process for future prediction and control of diseases at the genetic level.

引用

页数：4

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