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Revision as of 08:27, 18 September 2015

Mathematical Model

Synthetic Biology targets to design and create original biological systems. But the genetic systems involved are very intricate. Before going to lab and start working, one should first have a reasonable estimate of what they expect to do. And here mathematical modeling is useful.

Mathematical Model

The following assumptions were taken for modeling the system:
  • All the cells behaves the same way in our system
  • Our consideration of the concentrations of mRNA and Protein starts from t=0, and there concentration is zero at t=0
  • We have assumed the mRNA concentration to be "x" and protein concentration to be "y"

    • We chose a constitutive promoter so the input gene expression function do not involve any repression or activation term, So formulated the following set of differential equations of transcription and translation.