This paper presents the main results of studies which include both the search for new observables
sensitive to novel physical phenomena expected in the formation of baryon rich dense
matter formed in the collisions of heavy ions at NICA, and some practical solutions for selection
of events with given mean energy density relevant to the number of binary nucleon-nucleon
collisions. The behavior of strongly-intensive observables in the ranges of rapidity and momenta
available for measurements at the MPD is presented, taking into account the response of the
MPD experimental setup and reconstruction in the MpdRoot package. Methods of correction
on track losses and inaccurate identification of particle species are discussed. The applicability
of the standard Glauber model for the selection of centrality classes at the energies of the NICA
collider is being critically reviewed. On the basis of MC simulated data and in accordance
with the criteria of the subsequent physical analysis, the possibilities of the efficient selection of
events using the new fast detector system of beam-beam collisions monitoring are also briefly
discussed