An Apollonius diagram shows Voronoi edges between discs of varying sizes. Here is an animation where the sites move and reduce in size from frame to frame. By increasing the angle of direction the sites form a spiral.
This animation is the same but the sites oscillating perpendicular to the direction of travel.
In these two simple animations we have seen size (weighting), direction of travel and oscillation as properties of a Voronoi site that change over time. We may think of several other properties, such as speed of travel and origin. We may then map from properties of things from other domains, such as music.
Here is a simple example where musical note value is mapped to direction of travel. That is, as each note is triggered, a Voronoi site is created and animated according to the musical pitch of the note.