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      <JournalTitle>International Journal of Engineering, Science and</JournalTitle>
      <Volume-Issue>Volume 7, Issue 4 (3) </Volume-Issue>
      <Season>April 2018 (Special Issue FBSA)</Season>
      <ArticleType>Engineering, Science and Mathematics</ArticleType>
      <ArticleTitle>Influence of Rate Constant on TF Regulated Gene Expression and Effect of Noise</ArticleTitle>
      <Abstract>Simple mathematical model of gene expression had been studied thoroughly in this paper. It was assumed that protein synthesis and protein decay were deterministic in nature whereas transition from active to inactive state was totally stochastic. The probability distribution function of TF regulated gene was calculated and evidence of binary and graded response had been observed for different reaction rates. Slow and fast kinetics had been studied explicitly for diierent values of rate constants. Different rate constants played a significant role in calculating distribution function (PDF) and mean value of protein expression in TF regulated gene expression. A small change in the value of the rate constant gave a significant change in average protein value. It was seen that rate constants control the variance as well. The randomness of gene expression was reduced with increasing value of one of the rate constants.</Abstract>
      <Keywords>Transcription factor regulation; Binary and graded response; Rate of protein activation ; Fast and Slow kinetics; Probability distribution function</Keywords>
        <Abstract>https://ijesm.co.in/ubijournal-v1copy/journals/abstract.php?article_id=5423&amp;title=Influence of Rate Constant on TF Regulated Gene Expression&#13;
and Effect of Noise</Abstract>