用拓扑方法分析蛋白动力学,提升构象建模精度
Learning Topological Representations for Molecular Dynamics

- 用改进的掩码洪水复形捕捉残基间结构,计算高效
- 在多任务测试中表现优于传统描述符,尤其在构象预测上
- 适合蛋白质构象生成与动态模拟研究者使用
分子动力学(MD)模拟产生高维构象空间中的轨迹,其分析依赖于分子描述符,通常为手工设计的可观测量或学习得到的动力学嵌入。然而,设计既表达能力强又广泛适用的描述符仍具挑战。本文研究持久同调(PH)作为通用的MD表示方法,并提出掩码洪水复形——一种针对蛋白质优化的单纯复形构造方法,可低开销强调残基间结构。向量化持久同调图提供富含信息、几何感知的蛋白质构象摘要。我们在mdCATH数据集上评估了该方法在蛋白质分类、帧级可观测量回归以及基于学习的低维坐标构建马尔可夫状态模型(MSM)的表现。结果表明,基于PH的描述符在各项任务中具有竞争力,其中掩码洪水复形表现最为稳定。进一步地,将拓扑感知的MSM作为即插即用模块引入近期的MarS-FM生成框架,在蛋白构象生成中获得比基于物理可观测的MSM更优的集合统计特性。最后,我们探索了生成模型对快速折叠蛋白的迁移能力。
原文摘要 · Abstract (English)
Molecular dynamics (MD) simulations generate trajectories in a high-dimensional configuration space whose analysis critically depends on molecular descriptors, typically handcrafted observables or learned kinetic embeddings. Designing descriptors that are both expressive and broadly applicable, however, remains challenging. We study persistent homology (PH) as a general-purpose representation for MD and introduce the masked Flood complex, a protein-tailored modification of a recently introduced simplicial complex construction that emphasizes inter-residue structure at low computational cost. Vectorized persistence diagrams then provide information-rich, geometry-aware summaries of protein conformations, which we evaluate on protein class prediction, frame-level observable regression, and Markov state model (MSM) estimation from learned low-dimensional coordinates in a single shared representation space. Results on the mdCATH dataset show that PH-based descriptors are competitive across tasks, with masked Flood PH yielding the most consistent overall performance. Further, when using topologically-informed MSMs as a drop-in replacement within the recent MarS-FM framework for generative modeling of protein conformations, we obtain consistently better ensemble statistics than MSMs based on physical observables. Finally, we explore the transferability of the generative model to qualitatively different, fast folding, proteins.
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