  The dependencies of charged particle pseudorapidity density and transverse
energy pseudorapidity density at midrapidity on the collision energy and on the
number of nucleon participants, or centrality, measured in nucleus-nucleus
collisions are studied in the energy range spanning a few GeV to a few TeV per
nucleon. The model in which the multiparticle production is driven by the
dissipating effective energy of participants is introduced. The model is based
on the earlier proposed approach, combining the constituent quark picture
together with Landau relativistic hydrodynamics shown to interrelate the
measurements from different types of collisions. Within this model, the
dependence on the number of participants in heavy-ion collisions are found to
be well described in terms of the effective energy defined as a
centrality-dependent fraction of the collision energy. For both variables under
study, the effective energy approach reveals a similarity in the energy
dependence obtained for the most central collisions and centrality data in the
entire available energy range. Predictions are made for the investigated
dependencies for the forthcoming higher energy measurements in heavy-ion
collisions at the LHC.
