Unveiling hidden intermediate states in protein folding with AI-based conditional transition clustering

X Xuyang Liu (Research Center for Analytical Sciences, Tianjin Key Laboratory of Biosensing and Molecular Recognition, College of Chemistry, Nankai University) W Wensheng Cai (Tianjin Key Laboratory of Biosensing and Molecular Recognition, Research Center for Analytical Science, Frontiers Science Center for New Organic Matter, College of Chemistry) H Haohao Fu (Tianjin Key Laboratory of Biosensing and Molecular Recognition, Research Center for Analytical Science, Frontiers Science Center for New Organic Matter, College of Chemistry) X Xueguang Shao (Research Center for Analytical Sciences, Tianjin Key Laboratory of Biosensing and Molecular Recognition, College of Chemistry, Nankai University)

Abstract

Revealing the complex mechanisms of protein folding, including the transient intermediate states that govern the process, is a fundamental goal in computational biophysics. While molecular dynamics (MD) simulations generate vast amounts of data to this end, extracting a clear kinetic model from these complex, high-dimensional trajectories remains a significant challenge. We present AI-Based conditional transition clustering (CTC), a framework for analyzing MD trajectories that directly addresses the limitations of state-centric methods. Conventional approaches, such as Markov state models, rely on predefined geometric clustering or assume fixed linear dynamics, which can bias the discovery of protein conformational states. CTC operates on a “dynamics-centric” principle, defining a conformational state as a kinetically trapped region identified after analyzing the system dynamics, not before. By leveraging AI-based normalizing flows to estimate conditional transition probabilities from the MD data, CTC identifies states as “kinetic islands” with low escape probabilities. Applying CTC to protein-folding simulations successfully identifies critical intermediate and transition states, revealing folding pathways without prior assumptions about the number of states or their kinetic properties. This approach provides a more objective and physically grounded method for uncovering the complex mechanisms of biomolecular systems.

Article Details

Volume / Issue Vol. 123, Issue 10
Published March 10, 2026
ISSN 0027-8424
Publisher National Academy of Sciences

Authors (4)

X

Xuyang Liu

Research Center for Analytical Sciences, Tianjin Key Laboratory of Biosensing and Molecular Recognition, College of Chemistry, Nankai University

W

Wensheng Cai

Tianjin Key Laboratory of Biosensing and Molecular Recognition, Research Center for Analytical Science, Frontiers Science Center for New Organic Matter, College of Chemistry

H

Haohao Fu

Tianjin Key Laboratory of Biosensing and Molecular Recognition, Research Center for Analytical Science, Frontiers Science Center for New Organic Matter, College of Chemistry

X

Xueguang Shao

Research Center for Analytical Sciences, Tianjin Key Laboratory of Biosensing and Molecular Recognition, College of Chemistry, Nankai University