The Hot Zone

From the text:

Dr. Musoke felt for a pulse. It was weak and sluggish. A nurse ran and fetched a laryngoscope, a tube that can be used to open a person's airway. Dr. Musoke ripped open Monet's shirt so that he could observe any rise and fall of the chest, and he stood at the head of the gurney and bent over Monet's face until he was looking directly into his eyes, upside down.

At every place in the patient's arm where he stuck the needle, the vein broke apart like cooked macaroni and spilled blood, and the blood ran from the punctures down the patient's arm and wouldn't coagulate. Dr. Musoke abandoned his efforts to give his patient a blood transfusion for fear that the patient would bleed to death out of the small hole in his arm.