Hadron multiplicities are calculated in the framework of the algebraic
coalescence rehadronization model (ALCOR), which counts for redistrib
ution of quarks into hadrons for relativistic heavy-ion collisions. Dy
namical in-medium suppression of the light to heavy quark coalescence
factors and the influence of Bjorken flow on the final hadronic compos
ition are incorporated in the model. A comparison is made with the CER
N SPS NA35 (S+S) heavy-ion experiment where the total total quark numb
er is fitted to the total charge multiplicity and predictions for NA49
(Pb+Pb) is presented.