Chen C Y, Ward J P
Department of Applied Mathematics, The National University of Kaohsiung, Kaohsiung, Taiwan.
Math Med Biol. 2014 Mar;31(1):65-86. doi: 10.1093/imammb/dqs048. Epub 2013 Jan 17.
A simple mathematical model framework is developed to describe the hormonal interactions of the human menstrual cycle along the hypothalamus-pituitary-ovaries axis. The framework is designed so that it can be readily extended to model processes that disrupt the normal functioning cycle. The model in its most basic formulation exhibits multiple periodic solutions, one of which shows the key characteristics of a menstrual cycle, while the others indicate possible abnormalities sometimes observed in women of reproductive age. The basic model is extended to encompass receptor down-regulation as a mechanism to describe the desensitization of the pituitary to continuous stimulation of hypothalamic hormone, a hormonal therapy that is commonly prescribed prior to the surgical procedure for the removal of uterine myomas. Though the mechanisms for desensitization are likely to be more complex, the model results are in good qualitative agreement with physiological observations.
开发了一个简单的数学模型框架，以描述人类月经周期在下丘脑-垂体-卵巢轴上的激素相互作用。该框架的设计使其能够很容易地扩展，以模拟破坏正常功能周期的过程。该模型在其最基本的公式中表现出多个周期解，其中一个显示了月经周期的关键特征，而其他解则表明在育龄妇女中有时观察到的可能异常情况。基本模型被扩展以纳入受体下调，作为一种描述垂体对下丘脑激素持续刺激脱敏的机制，这是一种在子宫肌瘤切除手术前常用的激素疗法。尽管脱敏机制可能更复杂，但模型结果与生理观察结果在定性上吻合良好。
