Here we report how explosive synchronization can be topologically regulated in a neuron-like branched tree just by the cycles created when it is glued (synaptically) to another neuron. The sufficient condition for this topological regulation is that the synchronization process is controlled by a degree-biased diffusion. Therefore, there is a transition between explosive synchronization in a branched acyclic system to normal one once a cycle emerges in the system. This transition represents a potential mechanism with which a neuronal system can synchronize explosively individual neurons, and returning to normal sync when the neuronal network is formed to avoid pathological states like epilepsy or chronic pain.