Modeling

Introduction

In this chapter we model the modified toggle switch

To start, we include to this analysis the processes described at ‘Basic Bistable – Modeling’.

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.

And in addition to this, we have to include the new reaction involved in the new system. These are:

PROTEOLYSIS: Protease + Repressor 1 → Protease

We will consider a mass action rate law, where the protein will be digested according to the protease concentration.

IHNIBITION of TRANSLATION: asRNA + mRNA → RNA complex

We assume a mass action rate law again.

These two new effects may make the toggle switch more robust. Due to the protease is expressed at the same rate level than

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

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