mannan ratio), methods of producing the same, compositions comprising and/or derived from the same, and methods of using the same (e.g., to sequester and/or adsorb bacteria and toxins). Compositions and methods of the invention find use in a variety of applications including dietary (e.g., admixing with feedstuffs or otherwise feeding to animals), therapeutic, prophylactic (e.g. admixing with bedding sources and/or other materials that come into contact with animals, usage during food and beverage processing and manufacture and usage during filtration of liquids) as well as research applications.