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

Stochastic resonances in a distributed genetic broadcasting system: the NF\k{appa}B/I\k{appa}B paradigm