The aim of this thesis work was to create a model for experimental data on kinetics and pressure drop of a lab-scale DPF setting using real-engine exhaust. Previous experimental work was carried out by testing four catalyzed and non-catalyzed mini-DPF substrates (cordierite, silicon carbide, Ceria coated silicon carbide, Pt/Ceria coated silicon carbide) fed with real heavy duty engine exhausts under several experimental conditions (w/o upstream diesel oxidation catalyst, short/long loading). Each of the samples was subsequently analyzed at different temperature levels under the effect of oxidant pulses (O2, NO2) in order to perform pre-loaded soot oxidation. Pressure drop across DPF and outgoing CO, CO2, NOx emissions were detected during the experiments.