Information processing with very low power consumption and innovative computing paradigms are required for the development of modern technologies in which real-time elaboration of data is needed. Natural spiking neural networks are being explored for their speed and energy-efficiency. In these systems, spikes generated by neurons take the information, and synapses act as local memories and connections between neurons, allowing networks to learn and adapt to external stimuli. Superconducting electronics for its intrinsic low energy dissipation is the perfect candidate for building bio-inspired neuronal systems. It has already been proposed a structure that mimics the spiking behavior of the neuron and can be based on two different superconducting devices, which are able to generate low-power pulses: (1) Josephson junctions; and (2) NbN nanowires.