In this paper the electronic implementation of FitzHugh-Nagumo (F-N) neurons via monolithic microwave integrated circuits (MMIC) based upon a resonant tunneling diode (RTD) nonlinear transmission line (NLTL) using a coplanar waveguide (CPW) is considered. The goals are twofold. In the framework of electrical equivalent circuit emulating nonlinear active wave propagation effects, it is shown, on one hand, how different physical mechanisms are responsible for the time evolution of given input signals. A key result is that this medium supports stable and stationary pulse propagation that is only determined by the parameters of the RTD-NLTL and is independent of the boundary conditions. On the other hand, the influence of specific line elements on the output signal waveform is discussed in a most systematic manner. This leads, for the first time, to a more physical interpretation of the properties of the RTD-NLTL and, furthermore, to interesting technical applications at multi-GHz frequencies and on picosecond time scales. As a result, physically based ways are elucidated regarding how the technical design of those compact neuromorphic electrical circuits can be optimized by numerical simulations and performed using standard MMIC technologies.