Methods of treating and/or preventing arteriosclerosis are disclosed. In certain methods, a composition containing at least one lornoxicam or lornoxicam analogue that inhibits cyclooxygenase 1 and cyclooxygenase 2 (COX 1 and COX 2), cannot cross the blood/brain barrier under physiological conditions, and reduces the prostaglandin E2-induced induction of the amyloid precursor protein (APP) is administered to a subject to treat and/or prevent arteriosclerosis in the subject.