The Barbara Ann Karmanos Cancer Institute is blanketing metro Detroit with a $1 million advertising campaign designed to help the institution compete in the region's health care market. Until now, the institute has kept a relatively low profile while other hospitals and health systems have bolstered efforts to woo patients with catchy slogans, marketing gimmicks and flashy advertising. Attracting patients has become increasingly important for the region's health care institutions, as they depend more on paying patients to help offset the growing costs of business and of caring for the uninsured. The 1,200-person staff at Karmanos includes 300 faculty from the Wayne State University School of Medicine.