The supplementary information provides detailed plasmid details and explores the effects of repression efficiencies on band-detect gain. A contour map (Figure S1) illustrates how the CI and LacI repression efficiencies ($\beta_C$ and $\beta_L$) influence the band-detect gain. The gain is defined as the ratio of the maximum to the minimum GFP response over a range of AHL concentrations, considering both the minimum responses on either side of the peak. Only specific ranges of $\beta_C$ and $\beta_L$ values optimize the band-detect responses. Additionally, surface maps (Figure S2) depict the fluorescence intensities of BD2-Red and BD3 cells, showing the position and width of distinct rings, with distances in millimeters and fluorescence intensities scaled to a maximum of 100 arbitrary units.The supplementary information provides detailed plasmid details and explores the effects of repression efficiencies on band-detect gain. A contour map (Figure S1) illustrates how the CI and LacI repression efficiencies ($\beta_C$ and $\beta_L$) influence the band-detect gain. The gain is defined as the ratio of the maximum to the minimum GFP response over a range of AHL concentrations, considering both the minimum responses on either side of the peak. Only specific ranges of $\beta_C$ and $\beta_L$ values optimize the band-detect responses. Additionally, surface maps (Figure S2) depict the fluorescence intensities of BD2-Red and BD3 cells, showing the position and width of distinct rings, with distances in millimeters and fluorescence intensities scaled to a maximum of 100 arbitrary units.