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Genetic regulatory networks in cells.

Robinson, LaFrance.

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Genetic regulatory networks in cells.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Genetic regulatory networks in cells./
Author:	Robinson, LaFrance.
Description:	26 p.
Notes:	Source: Masters Abstracts International, Volume: 52-03.
Contained By:	Masters Abstracts International52-03(E).
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1547717
ISBN:	9781303498756

Genetic regulatory networks in cells.
Robinson, LaFrance.

Genetic regulatory networks in cells. - 26 p.

Source: Masters Abstracts International, Volume: 52-03.

Thesis (M.S.)--Tennessee State University, 2013.

Genes are the fundamental units of biological organisms. Genes encode proteins which carryout various functions required for the maintenance of life. Gene regulation is a complex process that begins with a DNA sequence for a given gene. The process from DNA through many intermediates to functional proteins involves transcription, translation, transport, degradation, bio-chemical modification, and many other mechanisms. In this thesis, we studied the stability analysis of gene regulatory networks in the context of Lyapunov second method of gene regulatory networks under various constraints such as time-delay and stochastic perturbations. First we establish a mathematical framework of genetic regulatory model, and workedout the details of its components. Later, we studied the stability analysis of the fundamental gene regulatory model. We extended this fundamnetal model to incorporate time delays in transcription, translation, and translocation processes and establish the stability of this system. Finally, we investigated the stochastic nature of the intercellular, extracellular and environmental fluctuations and studied the noise effects on stability of such fundamental gene regulatory network systems.

ISBN: 9781303498756Subjects--Topical Terms:

515831
Mathematics.

Genetic regulatory networks in cells.
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020 $a 9781303498756
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100 1 $a Robinson, LaFrance. $3 2103653
245 1 0 $a Genetic regulatory networks in cells.
300 $a 26 p.
500 $a Source: Masters Abstracts International, Volume: 52-03.
500 $a Adviser: Sivapragasam Sathananthan.
502 $a Thesis (M.S.)--Tennessee State University, 2013.
520 $a Genes are the fundamental units of biological organisms. Genes encode proteins which carryout various functions required for the maintenance of life. Gene regulation is a complex process that begins with a DNA sequence for a given gene. The process from DNA through many intermediates to functional proteins involves transcription, translation, transport, degradation, bio-chemical modification, and many other mechanisms. In this thesis, we studied the stability analysis of gene regulatory networks in the context of Lyapunov second method of gene regulatory networks under various constraints such as time-delay and stochastic perturbations. First we establish a mathematical framework of genetic regulatory model, and workedout the details of its components. Later, we studied the stability analysis of the fundamental gene regulatory model. We extended this fundamnetal model to incorporate time delays in transcription, translation, and translocation processes and establish the stability of this system. Finally, we investigated the stochastic nature of the intercellular, extracellular and environmental fluctuations and studied the noise effects on stability of such fundamental gene regulatory network systems.
590 $a School code: 0840.
650 4 $a Mathematics. $3 515831
650 4 $a Applied Mathematics. $3 1669109
650 4 $a Biology, Genetics. $3 1017730
690 $a 0405
690 $a 0364
690 $a 0369
710 2 $a Tennessee State University. $b Physics & Mathematics. $3 2103654
773 0 $t Masters Abstracts International $g 52-03(E).
790 $a 0840
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792 $a 2013
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1547717