  In this paper, we propose a parameterization which is based on a
phenomenological model involving the wounded quarks interactions for explaining
the average charged particle multiplicity $\ < n_{ch}\ >$, the central
pseudo-rapidity density $\ < (dn/d\eta)_{\eta=0}\ >$ and complete rapidity
dependence of $dn/d{\eta}$ in relativistic heavy-ion collider experiments. The
model also interrelates nucleus-nucleus (A-A) collisions with p-A and p-p
interactions. Our parameterization rests on simple assumptions regarding mean
number of participating quarks and their average number of collisions. The
results for $\ < n_{ch}\ >$ and their variations with the mass number of
colliding nuclei, center-of-mass energy ($\sqrt{s_{NN}}$) and collision
centrality are well supported by the available experimental data. Finally we
give the predictions from our model for A-A collisions at the Large Hadron
Collider (LHC) and Compressed Baryonic Matter (CBM) experiments. Our results
indicate the existence of a possible universal production mechanism for p-p,
p-A and A-A collisions.
