A consumable material for use in an extrusion-based digital manufacturing system, the consumable material comprising a length and a cross-sectional profile of at least a portion of the length that is axially asymmetric. The cross-sectional profile is configured to provide a response time with a non-cylindrical liquefier of the extrusion-based digital manufacturing system that is faster than a response time achievable with a cylindrical filament in a cylindrical liquefier for a same thermally limited, maximum volumetric flow rate.