  Gene regulatory networks must relay information from extracellular signals to
downstream genes in an efficient, timely and coherent manner. Many complex
functional tasks such as the immune response require system-wide broadcasting
of information not to one but to many genes carrying out distinct functions
whose dynamical binding and unbinding characteristics are widely distributed.
In such broadcasting networks, the intended target sites are also often dwarfed
in number by the even more numerous non-functional binding sites. Taking the
genetic regulatory network of NF\k{appa}B as an exemplary system we explore the
impact of having numerous distributed sites on the stochastic dynamics of
oscillatory broadcasting genetic networks pointing out how resonances in
binding cycles control the network's specificity and performance. We also show
that active kinetic regulation of binding and unbinding through molecular
stripping of DNA bound transcription factors can lead to a higher coherence of
gene co-expression and synchronous clearance.
