Subnucleonic radiation was a form of radiation that was devastating to organic tissue. It caused severe burns to the skin and disorientation in most lifeforms, where prolonged exposure usually resulted in death. There was almost nothing that can be done to prevent the radiation from affecting the body. Only being held in stasis while navigating through this radiation would prevent the effects of subnucleonic radiation.
In 2374, the crew of the USS Voyager discovered a Mutara class nebula that emitted subnucleonic radiation and soon discovered its effects. One crewmember died on the Voyager bridge during this exposure. The only person not fully affected by the radiation was Seven of Nine due to her Borg-enhanced physiology, though over time it started to affect her sensory nodes, causing hallucinations.
The Voyager crew was ultimately placed into stasis pods for the duration of the voyage through the nebula so as not to be affected by the radiation. (VOY: "One")