Five days before a 2007 article in the New England Journal of Medicine showed that the diabetes drug Avandia was linked to a 43% increase in heart attacks compared with other medications or placebos, a group of scientists and executives from the drug’s maker, GlaxoSmithKline , gathered in a conference room at the offices of the Food and Drug Administration in White Oak, Md. The GSK goal: to convince regulators that the evidence that the company’s $3 billion-a-year blockbuster drug caused heart problems was inconclusive.