A Mathematical Model for Hormonal Regulation of the Menstrual Cycle
Professor of Mathematics
NC State University
Abstract: Systems of ordinary differential equations will be introduced which describe a model for the concentrations of hormones important for control and maintenance of the menstrual cycle. The model predicts blood levels of these ovarian and pituitary hormones which agree with data in the literature for normally cycling women. In addition, the model indicates the existence and stability of an abnormal cycle which resembles polycystic ovarian syndrome, a leading cause of female infertility. Hence, the model may be used to simulate the effects of external hormone treatments on abnormally cycling women as well as the effects of exogenous compounds on normally cycling women. Also, important changes in system behavior resulting from variations in sensitive parameters will be discussed.