Nayely Vélez-Cruz is a complexity scientist and theoretical biologist with PhDs in electrical engineering and evolutionary biology. She specializes in Bayesian learning for time-series analysis and multi-level (e.g., genes, cells, organisms, populations) and multi-scale (fast-slow, local-global) biological systems with multi-directional feedback. Her work advances a mathematical and data-analytic framework for Extended Evolutionary Theory using these methods. Her current research centers on cancer as a complex system, developing machine-learning and mathematical modeling tools to identify mechanisms by which cancers develop resistance to treatment for personalized patient healthcare. She is co-authoring The Extended Life Cycle: Evolutionary Theory in a Complex World, under contract with Oxford University Press.