A 42-year-old woman is evaluated for thrombocytopenia. She was admitted to the hospital 1 week ago for newly diagnosed acute myeloid leukemia. She has been receiving leukoreduced, irradiated erythrocyte and platelet transfusions since admission. Yesterday, her platelet count was 8000/µL (8 × 109/L). A platelet count checked 30 minutes after a random, donor-pooled platelet transfusion was 11,000/µL (11 × 109/L). This morning, her platelet count was 6000/µL (6 × 109/L). Thirty minutes after a random, donor-pooled platelet transfusion, the platelet count is 9000/µL (9 × 109/L). She has had four uncomplicated pregnancies and deliveries. Medications are daunorubicin, cytarabine, cefepime, posaconazole, valacyclovir, and ondansetron.

On physical examination, vital signs are normal. No splenomegaly is present. Ecchymoses are seen at previous venipuncture sites. She has scattered petechiae over the lower extremities. The remainder of the examination is normal.

Peripheral blood smear reveals no schistocytes or platelet clumps.

Which of the following is the most appropriate management?