%0 Journal Article
%T Effect of Rate Constants in TF Regulated Gene Expression
%A Enakshi Guru
%A Sanghamitra Chatterjee
%J Open Access Library Journal
%V 1
%N 9
%P 1-10
%@ 2333-9721
%D 2014
%I Open Access Library
%R 10.4236/oalib.1101147
%X Simple mathematical model of gene expression has been studied thoroughly
in this paper. We assume that protein synthesis and protein decay are
deterministic in nature whereas transition from active to inactive state is
totally stochastic. The probability distribution function of transcript number
is calculated and evidence of binary and graded response has been observed for
different reaction rates. Slow and fast kinetics have been studied explicitly.
Different rate constants play a significant role in calculating distribution
function (PDF) and mean value of TF regulated gene expression. It is seen that
rate constants control the variance as well. A small change in the value of the
rate constant gives a significant change in average protein value. The
randomness of gene expression is reduced with increasing value of one of the
rate constants. The main focus of this paper is to observe the effect of rate
constants in transcription factor regulated gene expression.
%K Transcription Factor Regulation
%K Binary and Graded Response
%K Rate of Protein Activation
%K Fast and Slow Kinetics
%K Probability Distribution Function
%U http://www.oalib.com/paper/3130037