Titratable control of pBAD and lac promoters in individual E. coli cells

I started looking into this because I wanted to generate a strain in which I could control the level of induction from both a pTrc and a pBAD promoter in individual cells. After talking to a few people, I was able to sort out that these promoters both exhibit all-or-none activity in "wild-type" E. coli strains. I also discovered that it seems that not everyone knows about this (or at least the details of the process and how to get around it). Below is a summary of the information I was able to assemble on the topic. Hopefully, you know more than I do and can add more information.