An embodiment of the present invention comprises a method of treating malignancies in a subject in need of treatment comprising administering to the subject a high loading dose of a pegylated liposomal doxorubicin (PLD) in an initial cycle, followed by a reduced dose in a second cycle, wherein the second cycle reduced dose is in the range of 20% to 50%, preferably 50%, of the initial loading dose, and thereafter one or more maintenance doses in further cycles. The interval between dose cycles is in the range of about three-to-four weeks, preferably about four weeks. The initial loading dose is in the range of between the maximum tolerated dose (MTD) and the recommended dose, preferably the MTD (for instance, in the range of about 70 mg/m2 to 50 mg/m2, preferably 60 mg/m2). The one or more maintenance doses are in the range of about 40 mg/m2 to 50 mg/m2, preferably 45 mg/m2).
