In this work we provide an overview of various aspects of modelling he
terogeneous Ziegler-Natta polymerization. Starting from a detailed des
cription of the polymer particle growth, we compare the model results
with two series of experimental data obtained with slurry and gas-phas
e laboratory reactors, respectively. From the comparison it follows th
at the model provides a reliable description of both the kinetic behav
iour of the reaction and of the influence of resistances to mass and h
eat transport. An aspect of specific interest refers to the descriptio
n of the molecular weight distribution. A method for the detailed anal
ysis of these distributions is proposed and the results compared with
experimental data. Finally, a steady-state analysis of particle behavi
our is performed, allowing the determination of critical situations le
ading to overheating (and then melting) of the polymer particle.