卵泡发育的结构化群体模型
Structured Population Models for Follicular Development
- Anhalt University of Applied Sciences（安哈尔特应用科技大学）
机构由 AI 辅助整理，请以论文原文为准。
中文总结 AI 辅助
本文提出从生理结构化群体模型经微扰矩闭合导出的常微分方程组，以保留关键非线性机制并模拟卵泡大小与雌二醇浓度，经牛数据验证，可推广至其他哺乳动物。
中文摘要 AI 辅助
卵巢卵泡发育的建模方式有两种：一种是分区模型，其中发育阶段由离散的分区表示；另一种是生理结构化群体模型（PSPMs），其形式为描述卵泡沿连续成熟变量演化的输运偏微分方程。分区模型能够再现全周期的激素和卵泡动力学，但无法描述细胞特征。PSPMs能够捕捉多尺度行为，但缺乏与分区描述的直接联系，使得激素反馈难以纳入。在此，我们引入一类常微分方程组，其通过微扰矩闭合法从PSPMs导出，作为有限维约简。这些系统提供了结构化动力学的骨干近似，保留了控制募集、优势选择和闭锁的关键非线性机制，同时将成熟过程投影到宏观变量上。基于关于卵泡成熟的现象学假设导出的零阶和一阶矩，使我们能够在一个卵泡波期间真实地模拟卵泡大小和血液雌二醇浓度。该应用得到了牛数据的支持，并可能推广到其他哺乳动物物种。
英文摘要
Ovarian follicle development has been modeled either by compartmental models, where developmental stages are represented by discrete compartments, or by physiologically structured population models (PSPMs), formulated as transport PDEs describing follicles along a continuous maturation variable. Compartmental models reproduce full-cycle hormonal and follicular dynamics but cannot describe cellular features. PSPMs capture multiscale behavior, yet lack a direct link to compartmental descriptions, making hormonal feedback difficult to incorporate. Here, we introduce a class of ODE systems derived as finite-dimensional reductions of PSPMs via a perturbative moment closure. These systems provide backbone approximations of the structured dynamics, retaining key nonlinear mechanisms governing recruitment, selection for dominance, and atresia while projecting maturation onto macroscopic variables. Zero- and first-order moments, derived from phenomenological assumptions regarding follicular maturation, allow us to realistically model follicle sizes and blood estradiol concentrations over one follicular wave. This application is supported by bovine data and likely generalizable to other mammalian species.
