2017
DOI: 10.1063/1.4974306
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Identification of simple reaction coordinates from complex dynamics

Abstract: Reaction coordinates are widely used throughout chemical physics to model and understand complex chemical transformations. We introduce a definition of the natural reaction coordinate, suitable for condensed phase and biomolecular systems, as a maximally predictive one-dimensional projection. We then show that this criterion is uniquely satisfied by a dominant eigenfunction of an integral operator associated with the ensemble dynamics. We present a new sparse estimator for these eigenfunctions which can search… Show more

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Cited by 91 publications
(107 citation statements)
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“…In the protein folding example, we see that deflation can obscure a long-timescale process from a kinetic model in order to facilitate further analysis that is desired to be independent of that process. In MD simulations, the dominant processes may not be the same as the processes of interest due to low sampling or force field artifacts 8,9 . Thus, deflation presents a systematic way of removing the effects of these undesired modes on model building.…”
Section: Discussionmentioning
confidence: 99%
“…In the protein folding example, we see that deflation can obscure a long-timescale process from a kinetic model in order to facilitate further analysis that is desired to be independent of that process. In MD simulations, the dominant processes may not be the same as the processes of interest due to low sampling or force field artifacts 8,9 . Thus, deflation presents a systematic way of removing the effects of these undesired modes on model building.…”
Section: Discussionmentioning
confidence: 99%
“…Markov modeling 28 involves Voronoi partitioning of the accessible phase space into states and counting the transitions between the states. The metastable states are defined using a kinetically relevant distance metric (see Methods) that is learnt via sparse time structure-based independent component analysis (sparse-tICA) [32][33][34][35] . tICA finds linear combinations of input MD features that de-correlate the slowest within the given dataset.…”
Section: Btk's Apo Domain Is Primarily Inactivementioning
confidence: 99%
“…After we determined the optimal model given the current amount of sampling, we retrained the model on the entire set of trajectories. For the reported tICA model, we used a sparse variant of tICA 34 for increased interpretability (Supporting Figure 6-7). The Markov transition matrix was fit via maximum likelihood estimation (MLE) with reversibility and ergodicity constraints.…”
Section: Markov State Modelmentioning
confidence: 99%
“…In this example, we reduce the dimensionality of our kinase data from 518 dihedrals to 5 tICA coordinates. MSMBuilder includes support for similar algorithms (SparseTICA [22]) as well as general manifold learning algorithms like principal components analysis (PCA), SparsePCA, or MiniBatchSparsePCA. Prior to 2013, this step was not available for model construction.…”
Section: A Constructing An Msmmentioning
confidence: 99%