Computational modeling of membrane materials is a rapidly growing field to investigate the properties of membrane materials beyond the limits of experimental techniques and to complement the experimental membrane studies by providing insights at the atomic-level. In this study, we first reviewed the fundamental approaches employed to describe the gas permeability/selectivity trade-off of polymer membranes and then addressed the great promise of mixed matrix membranes (MMMs) to overcome this trade-off. We then reviewed the current approaches for predicting the gas permeation through MMMs and specifically focused on MMMs composed of metal organic frameworks (MOFs). Computational tools such as atomically-detailed molecular simulations that can predict the gas separation performances of MOF-based MMMs prior to experimental investigation have been reviewed and the new computational methods that can provide information about the compatibility between the MOF and the polymer of the MMM have been discussed. We finally addressed the opportunities and challenges of using computational studies to analyze the barriers that must be overcome to advance the application of MOF-based membranes.Computation 2019, 7, 36 2 of 26 these porous fillers, metal organic frameworks (MOFs) have received special attention due to their well-defined structures and tunable pore sizes.MOFs combine the properties of both inorganic and organic materials since they are assembled using metal ions with organic linkers [14]. The most important challenges involved in fabricating the MOF-based MMMs are to prevent the aggregation of the particles in the polymer and poor interaction between the particles and the polymer matrix. Rubbery polymers favor the formation of a defect-free interface between the particles and matrix due to their high degree of mobility. Flexible chains in the rubbery polymers make the membrane highly permeable, consequently, the gas transport is mainly dominated by the polymer matrix and the contribution of the MOF particles to the overall transport becomes very small. Glassy polymers have rigid chain structures, thus, they exhibit superior separation performance. On the other hand, the rigid structure weakens the interaction between polymers and particles. MOFs contain organic functionality in their bridging ligands, which can interact with the organic functionality in polymers. Numerous numbers of linkers and metal ions can be combined to fabricate MOFs, which can then be used as fillers in hundreds of different types of polymers; consequently, experimental screening of all MOF/polymer combinations is practically impossible. At this stage, computational tools play a key role in extensive screening of a large number of MOF/polymer combinations for particular gas separation. The MOF permeability obtained from the atomically detailed simulations is used as an input in permeation theories such as the Maxwell model to predict the gas permeabilities in MMMs. On the other hand, full atomistic simulations consider MOF and polymer simultan...