| Abstract: |
| Proteins are amazing biological entities. Among other important functions within cells, they can regulate the creation of other proteins and even of themselves. In the absence of noise, this autoregulation process can lead to bistability, but noise can induce transitions between the two states.
We present a model in which a WKB formulation leads us to find the mean first jump time between these states, in total agreement with numerical simulations.
In addition, the model exhibit bursting behavior in the limit of short mRNA lifetime. |
|