CMOS Monolithic Active Pixel Sensors (MAPS) have demonstrated excellent performances in terms of charged particle detection.Due to their excellent spatial resolution (1 -5 µm), their light material budget (0.05 % X 0 ) and their advanced radiation tolerance (3 • 10 13 n eq /cm 2 ), the pixels are foreseen for a use in various vertex detectors in nuclear and particle physics experiments like CBM, STAR and potentially the ILC.Accurate detector simulations are needed to design these vertex detectors and to demonstrate their ability to measure the observables relevant for the physics goals of the experiments.In the context of the development of the CBM-Micro Vertex Detector, we developed a detector response model conceived for MAPS sensors.The model is described and its performances are compared with real data acquired in a beam test performed at the CERN-SPS.