Team:Tsinghua-A/Modeling/Sensitivity

Sensitivity analysis

To get a better result, which means more genes in state ‘B’ finally, we analyze on some key parameters to find how to improve our system.

Analysis of K3-

is the rate constant that AraC-arabinose complexes separate from araI site. If we change it from the original 1 to 0.01, we can get the following result.
The concentration of Cre ：
The concentration of Cre-Loxp ：
The number of genes in different state:
The result shows that when is to small which means that the rate that AraC-arabinose complexes binds to araI site ( ) is much bigger than the rate it separate from aral site (), there will be fluctuations before Cre degrade to zero.

Analysis of the rate of flip

We use to denote the rate that genes in state ‘C’ change to state ‘B’, as well as the rate that genes in state ‘D’ change to state ‘A’. Then we change from 100 to 1, we can get the following result.

The result, especially the bottom of the number of genes in state ‘A’, shows clearly that genes in state ‘A’ first change to state ‘C’ before they become state ‘B’.
The following figure can give us more details about the affection of .

Analysis of Dpcre

is the degradation constant of Cre protein. If we change from 0.14/min to 1.4/min, we can get the following result.