DNA integral controller learning from biological system

Realization of a feedback controller on artificial molecular circuits is one of the important tasks in the field of molecular robotics. In particular, a regulator that keeps the operation of a biological actuator constant is needed in a variety of practical applications. Importantly, such a regulator must be designed using biochemical reaction networks to function normally in a reaction field. In this paper, we propose an integral controller for a molecular robot. Our controller is inspired by an integral control system existing in an intracellular signal transduction pathway, and is realized on DNA strand displacement reactions.