Diesel particulate filters (DPF) form significant part of the diesel exhaust aftertreatment systems. Collected soot particles can be burned off continuously at intermediate temperatures by nitrogen dioxide NO2 ("passive regeneration") or periodically at increased temperature by oxygen O-2 ("active regeneration"). NO2 for passive regeneration of the DPF is generated from nitrogen monoxide (NO) and O-2 in the diesel oxidation catalyst (DOC) located upstream, or in the catalytic coating of DPF (CDPF), or by a combination of both. Two-dimensional nonstationary model of the filter, soot filtration and regeneration with detailed kinetics of soot combustion, and spatially 1D plug-flow model of the DOC are presented and utilized to compare various catalytic systems for soot oxidation by NO2 and O-2 (DPF, CDPF, CRT (R), CCRT (R)). Pressure drop, soot conversion and other properties of the systems during the passive and active regeneration are compared. (C) 2010 Elsevier Ltd. All rights reserved.