Thus, up to the constant shift ∆µ = µ tot -µ K , the NAKP can be obtained by reconstructing both the local potential yielding the total density, v s [ρ tot ], and one yielding the density of the active subsystem, v s [ρ K ]. This approach has already been discussed in detail in our original article . In the following, we review work related to this field from the past eight years.