Introduction to the Modelling of the ayeSwitch

This page is an introduction to the different equations and techniques that we used to design and predict the behaviour of the ayeSwitch.

In this section we describe the process of developing a basic mathematical model for the ayeSwitch based on the promotion and inhibition behaviour necessary for mutual repression. We developed a set of four differential equations, one to model each of the two mRNAs and two proteins that are the active components of our system.

Fixed Points

We used fixed point analysis to predict the equilibrium state(s) of the ayeSwitch system for different parameters. Three or more fixed points will give us bistability and the possibility of switching.

Bifucation

Stochastic Model

Stability

Parameter Variations

Probability

Directed Evolution