Mathematical modeling of gene expression: chaos approach

Gene is a factor encoding genetic information and the basic unit of inheritance. Gene expression is a phenomenon consisting of two complex stages of transcription and translation. In this study, the yeast cell of Saccharomyces cerevisiae evolution is investigated due to the importance of the gene expression phenomenon. To clarify the accuracy of the obtained results, we have used experimental data on the Saccharomyces cerevisiae yeast cell from the gene bank. We are using chaos theory to study gene expression due to the nonlinear dynamics of the phenomenon. The obtained results predict that, by increasing the rate of degradation in the messenger arena to 0.03, we have reached the threshold value for the gene expression phenomenon. Also, we have recognized that increased transcription is associated with an increased mRNA degradation rate. The optimal values of transcription delay rate (18.2 min) and protein degradation rate (0.03) were obtained. There was a good agreement between the experimental and theoretical results.