  The precision of currents in Markov networks is bounded by dissipation via
the so-called thermodynamic uncertainty relation (TUR). In our work, we
demonstrate a similar inequality that bounds the precision of the static
current response to perturbations of kinetic barriers. Perturbations of such
type, which affect only the system kinetics but not the thermodynamic forces,
are highly important in biochemistry and nanoelectronics. We prove that our
inequality cannot be derived from the standard TUR. Instead, it implies the
standard TUR and provides an even tighter bound for dissipation. We also
provide a procedure for obtaining the optimal response precision for a given
model.
