Non-animal-based food products are described that simulate whole cuts of meat from an animal. In embodiments, the food products may include a group of aligned fibers, where the fibers have an average fiber diameter of less than or about 500 µm, and where the fibers comprise a non-animal-based protein. The food products may also include at least one binding agent in an interstitial space between at least a portion of the group of aligned fibers. In additional embodiments, the food products may include a scaffolding having one or more membranes that have a three-dimensional porous structure, where the scaffolding comprises one or more non-animal-based proteins. These food products may also include a gelling agent filling one or more pores in the scaffolding, where the gelling agent includes water, at least one non-animal-based protein, and at least one non-animal-based polysaccharide.