The idea that genes and their products are the fundamental units of biology has profoundly influenced our scientific thinking during the second half of the past century. Today, this reductionism is challenged by a renaissance of a systems understanding of biology, focusing on the systems formed by interacting gene products rather than on individual gene products. This discipline, based on a complementary and more holistic approach, keeps expanding its scope thanks to biotechnological innovations as well as theoretical modeling. This review aims at showing how and why, since the beginning of the 21st century, in fundamental as well as biomedical research, systems biology is proving a promising paradigm for understanding emerging properties of complex biological systems.