Most tomographic modalities record the data sequentially, i.e. temporal changes of the object lead to inconsistent measurements. Consequently, suitable models and algorithms have to be developed in order to provide artefact free images. In this talk, we discuss two reconstruction approaches incorporating different types of motion information. We first present an iterative strategy which treats the dynamic behavior implicitly as uncertainty in the forward model. In case an explicit motion map is available, we can further derive direct reconstruction methods. For both approaches, we provide numerical results from real as well as simulated data.