A Mathematical Model of Follicle Waves in Women with Applications

Ovarian follicle waves have been reported in women by Baerwald et al. (2003). Typically two or three waves occur per menstrual cycle. Nonlinear differential equation models representing the hormonal regulation of the menstrual cycle for a two-wave and a three-wave cycle are presented. The model exhibits waves of follicles during a cycle using a Follicle Stimulating Hormone threshold function. The model is used to explore phenomenon such as early menopause and superfecundation. This talk is appropriate for advanced undergraduates and beyond.