It is challenging yet desirable to quantitatively control the expression of a target gene in practice. We design a device-Proportional Biological Operational Mu-circuit (P-BOM) incorporating AND/OR gate and operational amplifier into one circuit and explore its behaviors through simulation. The results imply that will be possible to regulate input-output proportionally by manipulating the RBS of hrpR, hrpS, tetR and output gene and used in the sensing of environmental weak signals such as dioxins.