\begin{align} &\rightarrow LuxR \\ AHL+LuxR & \leftrightarrow R_{Lux}\\ R_{Lux}+R_{Lux} & \leftrightarrow DR_{Lux}\\ DR_{Lux}+P_{luxOFF} & \leftrightarrow P_{luxON}\\ P_{luxON}&\rightarrow P_{luxON}+Bxb1a+Bxb1b \end{align} Lux quorum sensing module Las quorum sensing module Bxb1 integrase module φC31 integrase module XOR gate module