This document discusses the management of non-vital teeth with open or incomplete root development. It defines various terms like apexogenesis, apexification, and maturogenesis. It describes the stages of root development and causes of open apices. For diagnosis and treatment, apexogenesis aims to encourage continued root development by removing inflamed pulp and placing calcium hydroxide. Apexification induces a calcified barrier in a tooth with a non-vital open apex. Maturogenesis allows continued deposition of dentin throughout the root for increased strength.