Abdel Omran's 1971 theory of" Epidemiologic Transition" was the first attempt to account for the extraordinary advances in health care made in industrialized countries since the 18th century. In the framework of the Demographic Transition, it implied a general convergence of life expectancies toward a limit imposed by the new epidemiological features of modern societies. However, important failures, occurred in the past decades (mainly the health crisis in Eastern Europe and AIDS in Africa), seem to have stopped that process of convergence. In fact such failures do not really contradict the theory.