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It is shown in [11, 54] that under some appropriate assumptions, the change in the structure of the trajectory is regular, i.e., when a constraint becomes active along the continuation, only one boundary arc appears.
Fluctuations were referenced to the average structure of the trajectory.
(B ) Change in root mean square deviation (RMSD) of the Cα positions over the time of simulation for the HOLO (100 ns; left panel) and APO trajectories (150 ns; right panel), calculated relative to the starting structure of the trajectory (see 'Materials and methods' for details).
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Furthermore, we discuss the topological structure of the trajectories of Eq. (8).
To deal with this problem we incorporated a path coherence function along with MHT to reduce the number of hypotheses which in turn reduce the computational cost and improve the structure of the trajectories.
This model structure enables the structure of the trajectories to be separated into growth parameters, both linear and quadratic, as well as other types of differences in the response probabilities, which we will refer to as nonlinear.
When the structure of the moving trajectory changes, we decompose the moving trajectories in the x axis and the y axis according to the formula (2).
The average structure of the relabeled trajectory was calculated.
The representative helical structure of the native trajectory was selected as follows: over all structures belonging to the major conformational cluster, an average peptide structure was calculated (in Cartesian space and following removal of overall rotations/translations).
The speed with which the 310 helix is given-up is worth mentioning: within less than 14 ns of simulation time, all STRIDE-derived assignments are wholly α-helical, with the corresponding structures reaching an rms deviation of only 0.14 Å from the representative α-helical structure (of the folding trajectory) in less than 60 ns.
Figure 3 displays the total energy and the root mean square deviation (RMSD) of the protein structure of the MD trajectory of our reactant structure.
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