Hendrix Angelean O, Selgrade James F
Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, United States.
Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, United States; Biomathematics Program, North Carolina State University, Raleigh, NC 27695, United States.
J Theor Biol. 2014 Nov 21;361:31-40. doi: 10.1016/j.jtbi.2014.07.020. Epub 2014 Jul 28.
A system of 16 differential equations is described which models hormonal regulation of the menstrual cycle focusing on the effects of the androgen testosterone (T) on follicular development and on the synthesis of luteinizing hormone (LH) in the pituitary. Model simulations indicate two stable menstrual cycles - one cycle fitting data in the literature for normal women and the other cycle being anovulatory because of no LH surge. Bifurcations with respect to sensitive model parameters illustrate various characteristics of polycystic ovarian syndrome (PCOS), a leading cause of female infertility. For example, varying one parameter retards the growth of preantral follicles and produces a "stockpiling" of these small follicles as observed in the literature for some PCOS women. Modifying another parameter increases the stimulatory effect of T on LH synthesis resulting in reduced follicular development and anovulation. In addition, the model illustrates how anovulatory and hyperandrogenic cycles which are characteristic of PCOS can be reproduced by perturbing both pituitary sensitivity to T and the follicular production of T. Thus, this model suggests that for some women androgenic activity at the levels of both the pituitary and the ovaries may contribute to the etiology of PCOS.
本文描述了一个由16个微分方程组成的系统,该系统模拟了月经周期的激素调节,重点关注雄激素睾酮(T)对卵泡发育以及垂体中促黄体生成素(LH)合成的影响。模型模拟显示了两种稳定的月经周期——一种周期符合文献中正常女性的数据,另一种周期由于没有LH高峰而无排卵。关于敏感模型参数的分岔说明了多囊卵巢综合征(PCOS)的各种特征,PCOS是女性不孕的主要原因。例如,改变一个参数会延缓窦前卵泡的生长,并产生这些小卵泡的“堆积”,这在一些PCOS女性的文献中有所观察到。改变另一个参数会增加T对LH合成的刺激作用,导致卵泡发育减少和无排卵。此外,该模型说明了如何通过干扰垂体对T的敏感性和卵泡对T的产生来重现PCOS特有的无排卵和高雄激素周期。因此,该模型表明,对于一些女性来说,垂体和卵巢水平的雄激素活性可能导致PCOS的病因。