M. Zand, A.; Gupta, A.; Khammash, M.

Biomolecular integral feedback controllers offer precise regulation of molecular species copy numbers, making them valuable for synthetic biology applications. Antithetic integral feedback controllers, in particular, can be effective in low-copy-number regimes with stochastic dynamics. In this work, we introduce a modified variant of this controller, called the antithetic dual-rein integral feedback motif, and analyze its performance from a stochastic perspective in the presence of intrinsic dynamic randomness. We demonstrate that our controller enables first-moment control while maintaining a tractable steady-state variance bound under specific parametric regimes. Notably, this variance bound is tunable, as it depends solely on the controller parameters. We derive these results using stochastic model-order reduction and validate them through numerical simulations. Our findings provide new insights into achieving both precise regulation and noise suppression in stochastic genetic circuits.