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脂肪细胞大小分布的数学建模:从老鼠数据的识别性和参数估计

Anne-Sophie Giacobbi¹, Leo Meyer², Magali Ribot²

¹Sorbonne Université, CNRS, Institut de Biologie Paris-Seine (IBPS), Laboratory of Computational and Quantitative Biology UMR 7238, 75005 Paris, France.

Journal of theoretical biology

|January 26, 2024

概括

这项研究使用部分微分方程来模拟脂肪细胞大小分布,揭示了对脂质调节和肥胖的见解. 该框架以四个参数对各种健康状况进行细胞大小的表征.

科学领域:

生物物理学的生物物理.
细胞生物学细胞生物学
系统生物学系统生物学

背景情况:

脂肪细胞 (脂肪细胞) 通过储存脂质来调节能量稳态.
脂肪细胞大小分布与肥胖相关的疾病有关.
脂肪组织表现出非均的,通常是双模的脂肪细胞大小分布.

研究的目的:

开发一种描述脂肪细胞大小分布的数学模型.
调查参数识别能力和估计模型参数.
分析影响细胞大小的参数的生物学意义和敏感性.

主要方法:

一种包含脂质流和细胞大小波动的部分微分方程模型.
静止溶液配方,用于高效计算双模分布.
使用CMA-ES算法对合成和实验性大鼠数据进行参数估计.

主要成果:

在合成数据上成功验证了建模程序.
估计四个关键参数的特征脂肪细胞大小分布在老鼠脂肪组织.
灵敏度分析揭示了对细胞大小分布和模型测量差异的参数影响.

结论:

拟议的部分微分方程框架准确地描述了脂肪细胞大小分布.
该模型提供了一种定量方法来研究脂质调节及其与肥胖的联系.
该框架可适应在不同生理和病理状态下分析脂肪细胞大小.

关键词:

脂肪细胞的大小分布参数估计的参数估计.可以识别参数的识别性.部分微分方程部分微分方程.

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