The stochastic exploration of the configuration space and the exploitation of
functional states underlie many biological processes. The evolutionary dynamics
stands out as a remarkable example. Here, we introduce a novel formalism that
mimics evolution and encodes a general exploration-exploitation dynamics for
biological networks. We apply it to the brain wiring problem, focusing on the
maturation of that of the nematode C. elegans. We demonstrate that a
parsimonious maxent description of the adult brain combined with our framework
is able to track down the entire developmental trajectory