in the form of a perforated sheet or woven or braided membranes thin membranes or woven filament filter elements may alternatively comprise metal or metal alloys such as nitinol stainless steel etc any of the aortic filter assemblies described above may also include frame element 914 formed from a material suitable to form a tight seal between aortic filter assembly 904 and tavi catheter 933 or other catheter based device as the filters fill under systolic blood pressure fig4 a b depicts an aortic filter assembly 904 having an inflatable portion 927 defining a distal opening 912 of aortic filter 906 in some embodiments inflatable portion 927 forms a continuous ring inflatable portion 927 forms a seal against the vessel wall such that debris cannot pass between aortic filter assembly 904 and the vessel wall inflatable portion 927 may also form a seal against a tavi catheter passed between aortic filter assembly 904 and the vessel wall as depicted in fig4 a inflatable portion 927 and filter element 906 may form a channel 929 on an exterior surface of aortic filter assembly 904 through which a catheter based device may pass channel 929 forms a seal against the catheter such that debris may not flow between the aortic filter assembly 904 and the catheter fig4 b illustrates an inflatable portion 927 having a gap 931 through which a catheter based device may pass filter element 906 may also form.