Mathematical Model for Emergent Oscillations in Human Menstrual Cycle Due to Constant and Progressive Human Stress

The Aim of this study is to develop a mathematical model of the hypothalamopituitary-gonadal axis that would reflect available data in humans. A model of hormonal relationships at the early follicular and midluteal phases of the human menstrual cycle is proposed. Further development of models of the endocrine system may lead to better understanding of the relationship between mental illness, physiological cycle such as the female reproductive cycle. It discusses the special case when the acceleration equation satisfies the inverse power law and progressive stress is directly proportional to time. The corresponding cumulative distribution functions F (t) is obtained for the various cases in the medical applications.