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检查非维度化对部分等级相关系数影响的结果在建模上皮质介质细胞过渡时
1Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN, USA. kgasior2@nd.edu.
Bulletin of mathematical biology
|December 20, 2024
概括
在敏感性分析之前,非维度化的数学模型,如部分等级相关系数 (PRCC),可以模糊关键参数并改变结果. 这项研究警告使用模型指导实验时不要这样做.
科学领域:
- 数学生物学的数学生物学
- 计算建模计算建模
- 系统生物学 系统生物学
背景情况:
- 全球灵敏度分析,包括部分等级相关系数 (PRCC) 和拉丁超立方体采样 (LHS),对于理解数学模型至关重要.
- 之前的研究已经使用PRCC来分析表皮介质转变 (EMT) 模型,但注意到了非维度化的潜在问题.
研究的目的:
- 在数学建模中研究非维度化对全球灵敏度分析 (PRCC) 结果的影响.
- 为了比较PRCC对原始模型及其各种非维度化形式的结果.
主要方法:
- 在以前发表的EMT模型及其七个非维度版本上执行了拉丁超立方体采样 (LHS) 和部分等级相关系数 (PRCC).
- 利用小的参数范围来检测可比性行为中的变化.
主要成果:
- 无维化可以使敏感性分析中的关键参数变得模糊或省略.
- 特定的非维度化方法可以显著改变灵敏度分析的结果.
- 通过比较八个模型代,发现非维度化对PRCC结果的明显影响.
结论:
- 在敏感性分析之前的非维度化可能会导致误导性结论.
- 研究人员在非维度化模型时应谨慎使用,如果结果旨在指导未来的实验工作.
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