Constructing Markov state models from large-scale molecular dynamics simulation trajectories is a promising approach to dissect the kinetic mechanisms of complex chemical and biological processes. Combined with transition path theory, Markov state models can be applied to identify all pathways connecting any conformational states of interest. However, the identified pathways can be too complex to comprehend, especially for multi-body processes where numerous parallel pathways with comparable flux probability often coexist. Here, we have developed a path lumping method to group these parallel pathways into metastable path channels for analysis. We define the similarity between two pathways as the intercrossing flux between them and then apply the spectral clustering algorithm to lump these pathways into groups. We demonstrate the power of our method by applying it to two systems: a 2D-potential consisting of four metastable energy channels and the hydrophobic collapse process of two hydrophobic molecules. In both cases, our algorithm successfully reveals the metastable path channels. We expect this path lumping algorithm to be a promising tool for revealing unprecedented insights into the kinetic mechanisms of complex multi-body processes.
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28 July 2017
Research Article|
July 31 2017
Path lumping: An efficient algorithm to identify metastable path channels for conformational dynamics of multi-body systems
Luming Meng;
Luming Meng
1
Department of Chemistry, The Hong Kong University of Science and Technology
, Clear Water Bay, Kowloon, Hong Kong
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Fu Kit Sheong;
Fu Kit Sheong
1
Department of Chemistry, The Hong Kong University of Science and Technology
, Clear Water Bay, Kowloon, Hong Kong
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Xiangze Zeng;
Xiangze Zeng
1
Department of Chemistry, The Hong Kong University of Science and Technology
, Clear Water Bay, Kowloon, Hong Kong
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Lizhe Zhu
;
Lizhe Zhu
1
Department of Chemistry, The Hong Kong University of Science and Technology
, Clear Water Bay, Kowloon, Hong Kong
2
Center of Systems Biology and Human Health, The Hong Kong University of Science and Technology
, Clear Water Bay, Kowloon, Hong Kong
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Xuhui Huang
Xuhui Huang
a)
1
Department of Chemistry, The Hong Kong University of Science and Technology
, Clear Water Bay, Kowloon, Hong Kong
2
Center of Systems Biology and Human Health, The Hong Kong University of Science and Technology
, Clear Water Bay, Kowloon, Hong Kong
3
Hong Kong Branch of Chinese National Engineering Research Center for Tissue Restoration and Reconstruction, The Hong Kong University of Science and Technology
, Clear Water Bay, Kowloon, Hong Kong
4
HKUST-Shenzhen Research Institute
, Hi-Tech Park, Nanshan, Shenzhen 518057, China
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a)
Author to whom correspondence should be addressed: [email protected]
J. Chem. Phys. 147, 044112 (2017)
Article history
Received:
April 03 2017
Accepted:
July 11 2017
Citation
Luming Meng, Fu Kit Sheong, Xiangze Zeng, Lizhe Zhu, Xuhui Huang; Path lumping: An efficient algorithm to identify metastable path channels for conformational dynamics of multi-body systems. J. Chem. Phys. 28 July 2017; 147 (4): 044112. https://doi.org/10.1063/1.4995558
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