Positron emission tomography (PET) are noisy, especially when working on dynamic acquisitions. To contest that noise, we developed a method that combine the EM algorithm, the most usual reconstruction algorithm, and dynamic filters. We compared our method to OSEM reconstruction and post filtering alone using three different quantitative criteria. Those criteria are Signal-to-Noise Ratio (SNR), bias and Pratt's Figure of Merit (PFOM). We demonstrate that our method provides better performances according to this criteria, soit is usable for both research and clinic.