Method for maximizing the therapeutic effectiveness of a drug (I) that reduces the level of rapidly dividing cells in a patient and that binds at the IB site of human serum albumin, comprises co-administering a compound (II) that binds competitively with (I) at the IB site of human serum albumin to maximize the therapeutic effectiveness of (I) in the patient. : Independent claims are included for: (1) a method for increasing the free concentration of (I) comprising administering the drug in the presence of a compound that binds competitively with the drug at the IB site of human serum albumin to increase the free concentration of the drug in the bloodstream of the patient; (2) a therapeutic composition for reducing the level of rapidly cells in a patient, comprising (I) and a compound that competitively binds to human serum albumin to increase or modulate the free concentration of the drug in the bloodstream of a patient; (3) a method for maximizing the therapeutic effectiveness of a drug that reduces hypertension comprising administering an anti-hypertensive drug that binds to human serum albumin at the IB site along with (II) that binds competitively with the drug at the IB site of human serum albumin to manage the reduction of hypertension in the patient; and (4) a method of maximizing the therapeutic effectiveness of an antiinfective drug that binds to the IB site of human serum albumin comprising administering with the drug a compound that binds competitively with the drug at the IB site of human serum albumin in to maximize the effectiveness of the anti-infective drug.