Biomolecular signal tracker with fast time response

Abstract

Signal tracking and the related signal derivative estimation are key pieces in feedback control engineered systems. In this work we present a synthetic biomolecular circuit that performs signal tracking with high precision under mild conditions on its parameters. The circuit contains two antithetic motifs in feedback via a push-pull switch motif. We show that the output signal quickly converges to the input one. Under ideal conditions, finite-time convergence would be achieved. We also show that the circuit gives a good approximation of the input signal derivative.