Molecular competition can shape enhancer activity in the Drosophila embryo

. 2021 Aug 25;24(9):103034. doi: 10.1016/j.isci.2021.103034

TF binding configuration	State	Statistical weight
Non-specific binding only	$\frac{N^{T}}{T!}$	$e^{- T E_{n s}}$
Competitor sites and non-specific binding	$\sum_{x = 0}^{C} \frac{N^{T - x}}{(T - x)!} \times \frac{C!}{x! (C - x)!}$	$e^{- [(T - x) E_{n s} + x E_{s}]}$
Target site, competitor sites and non-specific binding	$\sum_{x = 0}^{C} \frac{N^{T - 1 - x}}{(T - 1 - x)!} \times \frac{C!}{x! (C - x)!}$	$e^{- [(T - 1 - x) E_{n s} + x E_{s} + E_{s}]}$