A Deterministic, Mathematical Model for Hormonal Control of the Menstrual Cycle

Chapter

Abstract

This chapter discusses a system of non-linear delay differential equations used to model the bloodstream concentrations of six key reproductive hormones in women, including two forms of inhibin. Three component systems are individually introduced, then merged into a unified, autonomous model. Model predictions agree with published clinical data for young women with normal menstrual cycles. In contrast to results from an earlier model, a unique stable periodic solution exists for this parameter set. Qualitative effects of changing a single sensitive parameter are discussed, and applications to oral contraceptives are included, via simulations involving exogenous hormones. Such simulations may be helpful in developing improved oral contraceptive treatment protocols and in understanding the effects of environmental estrogens on the menstrual cycle.

Keywords

Cholesterol Estrogen Testosterone Progesterone Estradiol 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceThe College of WoosterWoosterUSA

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