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National Yang Ming University

\frac{d[LacI]}{dt}={RBS}\times{[mRNA LacI]} –{Kdeg LacI} \times{[LacI]}

In this equation, RBS represents ribosome binding site strength, which is the affinity of ribosome to the starting site of mRNA. For the section of the equation, RBS\times [mRNALacI] represents the synthesizing rate of LacI; -KdegCI\times [LacI] represents the degrading rate of LacI .

LacI will repress pLac promoter, which leads to no production of CI. Without CI, LuxCI hybrid promoter will no longer be repressed, and kill protein can thus be generated. This situation happens when Nosema exists and the sensor promoter is turned on.s.