Taylors’ Technique for Solving Delay Equations of Gene Expression Model with Competitive and Non- Competitive Mechanisms

  • A. Jabar, Angham
  • Al- Saif, A. S. J.
Publication date
February 2022
Publisher
Mathematical Theory and Modeling
Language
English

Abstract

In this paper, the delay differential equations of Gene expression models with mechanisms of signal-dependent transcription regulation are solved and studied in two cases: When there is (i) competition and (ii) without competition(non-competition) for Deoxy ribo Nucleic Acid (DNA) regulatory binding sites in a cell. Also, we studied the effect of both increasing the inhibitor or decreasing the abundance of the activator (inhibition mechanism), and decreasing the inhibitor or increasing the abundance of the activator (activator mechanism) on the steady-state of the solutions. A new analytical approximation approach derived from Taylor series expansion is used for solving the delay differential equations of gene expression models. From the an...

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