arXiv:2502.06126cs.LG2025-02被引 1

用图模型和随机微分方程分析视网膜退化动态,揭示关键转折点。

Graph Pseudotime Analysis and Neural Stochastic Differential Equations for Analyzing Retinal Degeneration Dynamics and Beyond

  • 构建生物启发的通路图,通过图级伪时间推断群体疾病轨迹
  • 识别驱动阶段转换的敏感通路,发现疾病不可逆转折点
  • 适用于研究复杂疾病演化机制,尤其适合生物通路动力学分析

理解疾病进展的分子通路层面通常需要同时捕捉通路间的结构依赖关系与疾病演化的时序动态。本文针对该问题,提出一种生物启发的图构建方法,基于新整理的JR5558小鼠转录组数据集高效构建个体通路图。进一步提出图级伪时间分析(GPA),推断群体水平的疾病轨迹而非个体轨迹。基于GPA估计的轨迹,识别出驱动疾病阶段转换的关键通路。此外,采用神经随机微分方程(SDEs)量化通路特征变化,可形式化定义并计算通路稳定性与疾病分叉点(不可逆点),解决疾病进展研究中的核心难题。方法进一步扩展至通路间交互情形,实现对疾病表型更全面、多维度的刻画。实验结果表明,该框架在重建通路动态、识别关键转变节点及揭示疾病演化机制方面均具显著效果。

原文摘要 · Abstract (English)

Understanding disease progression at the molecular pathway level usually requires capturing both structural dependencies between pathways and the temporal dynamics of disease evolution. In this work, we solve the former challenge by developing a biologically informed graph-forming method to efficiently construct pathway graphs for subjects from our newly curated JR5558 mouse transcriptomics dataset. We then develop Graph-level Pseudotime Analysis (GPA) to infer graph-level trajectories that reveal how disease progresses at the population level, rather than in individual subjects. Based on the trajectories estimated by GPA, we identify the most sensitive pathways that drive disease stage transitions. In addition, we measure changes in pathway features using neural stochastic differential equations (SDEs), which enables us to formally define and compute pathway stability and disease bifurcation points (points of no return), two fundamental problems in disease progression research. We further extend our theory to the case when pathways can interact with each other, enabling a more comprehensive and multi-faceted characterization of disease phenotypes. The comprehensive experimental results demonstrate the effectiveness of our framework in reconstructing the dynamics of the pathway, identifying critical transitions, and providing novel insights into the mechanistic understanding of disease evolution.

疾病动力学伪时间分析图神经网络随机微分方程

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