2018
DOI: 10.1063/1.5005058
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Theoretical restrictions on longest implicit time scales in Markov state models of biomolecular dynamics

Abstract: Markov state models (MSMs) have been widely used to analyze computer simulations of various biomolecular systems. They can capture conformational transitions much slower than an average or maximal length of a single molecular dynamics (MD) trajectory from the set of trajectories used to build the MSM. A rule of thumb claiming that the slowest implicit timescale captured by an MSM should be comparable by the order of magnitude to the aggregate duration of all MD trajectories used to build this MSM has been kno… Show more

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Cited by 5 publications
(6 citation statements)
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“…K-Medoids clustering led to the same qualitative results as that of K-Centers clustering (data not shown). As demonstrated recently, the slowest timescale that an MSM of a biomolecule could capture is comparable by order of magnitude to the aggregate duration of all MD trajectories used to build this MSM (56). This theoretical result allows us to expect that our simulations of NMDARs can provide information on conformational transitions in these receptors on timescales of up to $15 ms for both apo and holo forms.…”
Section: Markov State Modelssupporting
confidence: 62%
“…K-Medoids clustering led to the same qualitative results as that of K-Centers clustering (data not shown). As demonstrated recently, the slowest timescale that an MSM of a biomolecule could capture is comparable by order of magnitude to the aggregate duration of all MD trajectories used to build this MSM (56). This theoretical result allows us to expect that our simulations of NMDARs can provide information on conformational transitions in these receptors on timescales of up to $15 ms for both apo and holo forms.…”
Section: Markov State Modelssupporting
confidence: 62%
“…A transition between state A and other states, accompanied by formation or vanishing of a “three-legged stool” conformation of the glycan serving as a latch between two lobes of the GluN1 LBD, was observed only once in the simulations. Respectively, we can only give a lower bound estimate on this time scale, namely that it is significantly greater than the aggregate sampling in our simulations, that is ≫100 μs (respectively, the rate constant ≪10 ms –1 ) . The transition with the slowest implicit time scale captured by MSM modeling is the transition from state C to state B (and, with a smaller weight, to state O) and vice versa, which is convenient to visualize in the tIC 4–tIC 5 plane, since these two tICs are discriminative to states B and C, respectively (Figure c).…”
Section: Resultsmentioning
confidence: 97%
“…The largest implied time scale can be of the same order of magnitude of the aggregate duration of all MD trajectories used to build the MSM. 212 Obviously, the initialization points must be chosen with care, and one must ensure that no important regions of the phase space are ignored.…”
Section: Molecular Dynamics Simulation Methodologiesmentioning
confidence: 99%