两者之间的距离:比较随机模型与时间序列数据的算法方法
Brock D Sherlock1,2, Marko A A Boon2, Maria Vlasiou3
1School of Mathematics and Statistics, University of New South Wales, Sydney, NSW, 2052, Australia.
Bulletin of mathematical biology
|July 26, 2024
概括
这项研究确定了强大的距离指标,用于将随机模型与实验数据进行比较. 像Wasserstein-1这样的集成距离测量比离散测量更好地用于参数推断和模型验证,特别是在杂的,随时间变化的生物数据中.
科学领域:
- 系统生物学 系统生物学
- 计算生物学 计算生物学
- 生物物理学的生物物理.
背景情况:
- 宏观细胞过程是通过平均场模型来理解的.
- 随机模型提供了分子层面的洞察力,但需要定量验证.
- 实验生物数据通常具有小样本大小和不断变化的分布.
研究的目的:
- 确定合适的距离指标,以将随机模型输出与随时间演变的实验数据进行比较.
- 寻找能够促进参数推断,模型比较和模型验证的指标.
- 为应对小样本大小和生物数据时间动态所带来的挑战.
主要方法:
- 通过多个实验尺度将随机模型输出与合成数据进行比较.
- 基于经验累积分布函数 (ECDF) 的评估离散 (Kolmogorov-Smirnov) 和集成 (Wasserstein-1) 距离指标.
- 评估了对参数变化的度量敏感性和对模拟实验错误的添加噪声的稳定性.
主要成果:
- 与离散措施相比,综合距离指标表现出更顺的参数转换.
- 综合指标显示出对噪声的稳定性,有效地复制实验错误.
- 离散的测量结果显示高灵敏度仅接近真实参数,限制了它们的实用性.
结论:
- 综合距离指标对于将随机模型与现实世界生物数据相匹配是优越的.
- 这些发现使得准确的随机模型参数化算法的设计成为可能.
- 这项研究为推进对细胞系统的分子级理解提供了基础.
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