These alpha radiating particles can travel through the whole body and trap in an organ or a particular tissue. 24 hours a day these particles release alpha particles which damage the nucleus of the neighbouring cells. Uranium is stored in practically every tissue or organ in the human body. After ingesting or inhaling depleted uranium people are slowly getting sick by the radiation. The body tries to get rid of this heavy metal by detoxifying actions of the liver, Most uranium is excreted in the gut, but is reuptaken again.
Some uranium leaves the body via the urine and can bemeasured by isotopic separtation.
You should see uranium as the same as any other heavy metal like lead, mercury, cadmium a.s.o. Uranium and other heavy metals is seen by the body as it is nutrition. Heavy metals atoms are build in the bone and cells like it is a calcium atom. It might end up in the bone marrow where uranium radiates the stem cells which form the complete range of blood cells. Therefore it is very urgent to force actively depleted uranium out of the body.