Team:Sheffield/Modeling

SYSTEM BREAKDOWN

We are going to analyse the biological system in a control perspective way. Our 3 main aims are;

1) Suggesting a realistic model for the system

2) Comparing the wet lab result with our model

3) A standard description of how our overall system intends to work.

MODEL

Lets first look at how our initial system works. The flow diagram below gives a brief description of it;

The above flow chart can be reconstructed into a control block diagram;

The script below shows how each block parameters are designed

Our next step is to simulate the model, which brings about an interesting design practise which my team has employed. Which is, how does the photoreceptor works? And how does it affect the system when light intensity varies?

A point to note; each ODE’s tends to a steady state after some time. Therefore we have suggested that:

Each constant varies with the amount of light shined on the system and as well achieves a steady state at a certain point.

Without the presence of red light, the concentration of EnvZP, (EnvZP)OmpR and OmpRP should increase. Therefore the constants which affect the rate of reaction of those should decrease with intensity; which is K1, K-2, Kk and Kt. Whereas K-1, K2, K-k and Kp increase as intensity increases.

Initial concentration of:

EnvZ = 1M, EnvZP = 1M, (EnvZP)OmpR = 1M, OmpRP = 1M, OmpR = 1M, EnvZ(OmpRP) = 1M.

Whereas the constants are varied as:

We are interested in knowing how the concentration of OmpRP varies since it promotes the activity of LacZ which produces black precipitate. Also a measure of EnvZ could show us the opposite.

To achieve this we employed the Euler method; with a time interval of 1 second.

From the graph above it is clear that at high intensity OmpRP concentration is less, therefore activity of LacZ should be less as well.

Now we shall make a model for the transcription and translation of the system which will show us how the activity of LacZ varies with intensity. The script below descibes our model;

Constants used:

t1=0.1, t2=0.1, d1=1, d2=0.01.