Ovarian tissue cryopreservation is a proven tool to preserve ovarian follicles prior to gonadotoxic treatments. What if this procedure is applied to healthy women to delay or eliminate menopause? In this talk, we will present a mathematical model to predict the efficacy of this procedure and optimize its implementation. Time permitting, we will also discuss how stochastic models of ovarian aging offer answers to longstanding questions surrounding the timing of perimenopause and menopause and the "wasteful oversupply" of ovarian follicles. This talk is based on joint work with Joshua Johnson (University of Colorado School of Medicine), John Emerson (Yale University), Kutluk Oktay (Yale School of Medicine), Nanette Santoro (University of Colorado School of Medicine), and Mary Sammel (Colorado School of Public Health).