The so-called wounded-quark model (WQM) of particle production in heavy-ion collisions extends the monte-carlo Glauber approach to sub-nucleonic degrees of freedom. In the current work, a monte-carlo model, which is conceptually similar to the WQM, is presented. The main difference from the WQM is that each parton from the projectile nucleus can interact with only one parton inside the target (burning-out partons). As a result of each binary partonic interaction, a particle-emitting source is formed (usually modeled as a quark-gluon string), and this pair of partons does not participate in other partonic collisions anymore. It is shown that in this model it is possible to reproduce in a natural way the behaviour of some basic observables like the centrality dependence of charged particle multiplicity and nuclear modification factor, as well as several kinds of fluctuation observables in A-A and p-A collisions. Bayesian approach is used to estimate main parameters of the model, namely, number and distribution of partons inside nucleons and partonic cross sections.
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