The present invention concerns the use of oxygen antagonists for inducing stasis in cells, tissues, and/or organs in vivo or in an organism overall. It includes methods and apparatuses for achieving stasis in any of these biological materials, so as to preserve and/or protect them. In specific embodiments, therapeutic methods and apparatuses for organ transplantation, hyperthermia, wound healing, hemorrhagic shock, cardioplegia for bypass surgery, neurodegeneration, hypothermia, and cancer is provided.