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Basic Bistable

Introduction

To start with the model analysis, we show the reactions in which our plasmid is involved into the ‘E. Coli’ bacteria, and their kinetic laws. Due to the two expressions, each one must have the same rate law. Here we are showing a simplified analysis for every response:

We have the expression of two different proteins, expressions that are regulated by following reactions:

TRANSCRIPTION: RNAp + Promoter → RNAp + Promoter + mRNA

The mRNA production will be described using Michaelis-Menten kinetics.

TRANSLATION: mRNA + Ribosomes → mRNA + Ribosomes + Repressor

The Repressor production will be also modeled using Michaelis-Menten kinetics.

REPRESSION: Promoter + n · Repressor → Promoter_Repressor_n

Finally we use a Hill kinetics model for the transcription inhibition, which offers an approximation to the cooperative action.

Diagram

Here we can see all the species involved in the new model for the bistable.