## Homework

### Monday:

Question: How many proteins can fit in the volume of one

E. colicell (1 fL)?

### Wednesday:

Using statistical mechanics, derive the probability of gene expression for the case of a promoter containing a repressor binding site as a function of both number of RNA polyermases and number of repressors.

### Friday:

Derive the state and weights for the statistical mechanical model of the genetic switch (2 activators binding cooperatively to a promoter). Using these state and weights, show that this model leads to the equation for dA/dt we showed in the class.