INRIA Paris-Rocquencourt Research Centre, Domaine de Voluceau, Rocquencourt, B.P. 105, 78153 Le Chesnay, France.
Prog Biophys Mol Biol. 2013 Dec;113(3):398-408. doi: 10.1016/j.pbiomolbio.2012.12.005. Epub 2012 Dec 19.
In mammals, the number of ovulations at each ovarian cycle is determined during the terminal phase of follicular development by a tightly controlled follicle selection process. The mechanisms underlying follicle selection take place on different scales and different levels of the gonadotropic axis. These include the endocrine loops between the ovary and the hypothalamic-pituitary complex, the dynamics of follicle populations within the ovary and the dynamics of cell populations within ovarian follicles. A compartmental modelling approach was first designed to describe the cell dynamics in the selected follicle. It laid the basis for a multiscale model formulated with partial differential equations of conservation law type, resulting in the structuring of the follicular cell populations according to cell age and cell maturity. In this model, the selection occurs as a FSH (follicle stimulating hormone)-driven competition between simultaneously developing follicles. The selection output (mono-ovulation, poly-ovulation or anovulation) results from a subtle interplay between the hypothalamus, the pituitary gland and the ovaries, combined with slight differences in the initial conditions or ageing and maturation velocities of the competing follicles. This modelling approach is proposed as a useful complement to experimental studies of follicular development and in turn, the mechanisms of follicle selection raise challenging questions on the mathematical ground.
在哺乳动物中,每个卵巢周期的排卵数量是在卵泡发育的终末阶段通过一个严格控制的卵泡选择过程来决定的。卵泡选择的机制发生在性腺轴的不同尺度和不同层次上。这些机制包括卵巢和下丘脑-垂体复合体之间的内分泌循环、卵巢内卵泡群体的动力学以及卵巢卵泡内细胞群体的动力学。最初设计了一种分区建模方法来描述选定卵泡中的细胞动力学。它为用守恒律型偏微分方程制定的多尺度模型奠定了基础,导致根据细胞年龄和细胞成熟度对卵泡细胞群体进行结构划分。在这个模型中,选择是由同时发育的卵泡在 FSH(卵泡刺激素)驱动下的竞争产生的。选择的结果(单排卵、多排卵或无排卵)是由下丘脑、垂体和卵巢之间的微妙相互作用以及竞争卵泡的初始条件或老化和成熟速度的微小差异共同作用的结果。这种建模方法被提议作为对卵泡发育的实验研究的有用补充,而卵泡选择的机制又提出了关于数学基础的具有挑战性的问题。