2014
DOI: 10.1002/jcc.23814
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Essential dynamics for the study of microstructures in liquids

Abstract: Essential Dynamics (ED) is a powerful tool for analyzing molecular dynamics (MD) simulations and it is widely adopted for conformational analysis of large molecular systems such as, for example, proteins and nucleic acids. In this study, we extend the use of ED to the study of clusters of arbitrary size constituted by weakly interacting particles, for example, atomic clusters and supramolecular systems. The key feature of the method we present is the identification of the relevant atomic-molecular clusters to … Show more

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Cited by 15 publications
(15 citation statements)
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“…the peptide polarity; (iii) the hydrophobic and hydrophilic solvent‐accessible surfaces as provided by standard criteria ; and (iv) an estimation of the peptide volume and shape. This latter quantity has been accomplished by using a recently proposed method based on elementary mechanics and here only briefly outlined.…”
Section: Resultsmentioning
confidence: 99%
“…the peptide polarity; (iii) the hydrophobic and hydrophilic solvent‐accessible surfaces as provided by standard criteria ; and (iv) an estimation of the peptide volume and shape. This latter quantity has been accomplished by using a recently proposed method based on elementary mechanics and here only briefly outlined.…”
Section: Resultsmentioning
confidence: 99%
“…An estimation of the whole protein geometry and shape, not straightforward in the case of dynamical systems, has been performed through as below described [ 33 , 34 ]. For each simulation, and at each frame, we constructed the 3x3 covariance matrix ( ) ( Eq 2 ).…”
Section: Methodsmentioning
confidence: 99%
“…In order to characterize the solvent density around the protein we used the approximation of treating the protein molecule as an ellipsoid defined, at each MD time frame, by the eigenvectors and eigenvalues of the 3 Â 3 geometrical covariance matrix of the x, y, z atomic coordinates as described in recent papers. 30,31 In fact, the instantaneous protein ellipsoid axes are defined by the three eigenvectors of the covariance matrix with the corresponding lengths provided by the eigenvalues (considering a Gaussian atomic positional distribution along each eigenvector, we used as a semi-axis a i ¼ 2 ffiffiffiffi l i p with i = 1, 2, 3 and l i the eigenvalue of the i-th eigenvector). We then considered a set of ellipsoidal layers around the protein defined by the consecutive ellipsoids with semi-axes a i (n) = a i + nd with fixed increment d = 0.03 nm.…”
Section: Protein Volume and Ellipsoidal Layersmentioning
confidence: 99%