Before the transfusion you will have blood drawn (around 1-2 teaspoons) to check on the number of platelets in your blood. You will then be randomly assigned (as in the toss of a coin) to either receive the standard platelet transfusion or a ThromboSol-preserved autologous platelet transfusion. After the transfusion, you will have additional blood drawn (around 1-2 teaspoons) to check on the number of platelets in your blood. These procedures will be repeated each time you require a platelet transfusion. However, you will not be randomly assigned again. Each time you receive an additional platelet transfusion, you will be assigned the group different from the one before. The type of transfusions will be alternated. For instance, if you were randomly assigned to receive the frozen platelets for your first transfusion, you will receive the standard transfusion next, then back to the frozen for the third transfusion.