  We establish quantitative estimates for sampling (dominating) sets in model
spaces associated with meromorphic inner functions, i.e. those corresponding to
de Branges spaces. Our results encompass the Logvinenko-Sereda-Panejah (LSP)
Theorem including Kovrijkine's optimal sampling constants for Paley-Wiener
spaces. It also extends Dyakonov's LSP theoremfor model spaces associated with
bounded derivative inner functions. Considering meromorphic inner functions
allows us tointroduce a new geometric density condition, in terms of which the
sampling sets are completely characterized. This, incomparison to Volberg's
characterization of sampling measures in terms of harmonic measure, enables us
to obtain explicitestimates on the sampling constants. The methods combine
Baranov-Bernstein inequalities, reverse Carleson measures andRemez inequalities .
