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Principal component analysis of molecular dynamics: On the use of Cartesian vs. internal coordinates

Sittel, Florian, Jain, Abhinav, Stock, Gerhard·2014·The Journal of Chemical Physics

Abstract

Principal component analysis of molecular dynamics simulations is a popular method to account for the essential dynamics of the system on a low-dimensional free energy landscape. Using Cartesian coordinates, first the translation and overall rotation need to be removed from the trajectory. Since the rotation depends via the moment of inertia on the molecule's structure, this separation is only straightforward for relatively rigid systems. Adopting millisecond molecular dynamics simulations of the folding of villin headpiece and the functional dynamics of BPTI provided by D. E. Shaw Research, it is demonstrated via a comparison of local and global rotational fitting that the structural dynamics of flexible molecules necessarily results in a mixing of overall and internal motion. Even for the small-amplitude functional motion of BPTI, the conformational distribution obtained from a Cartesian principal component analysis therefore reflects to some extend the dominant overall motion rather than the much smaller internal motion of the protein. Internal coordinates such as backbone dihedral angles, on the other hand, are found to yield correct and well-resolved energy landscapes for both examples. The virtues and shortcomings of the choice of various fitting schemes and coordinate sets as well as the generality of these results are discussed in some detail.

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Metadata

Authors
Sittel, F., Jain, A., & Stock, G.
Venue
The Journal of Chemical Physics
Published
2014-07-07
Volume
141
Issue
1
Pages
014111-014111
ISSN
  • 0021-9606 (ISSN-L)
  • 1089-7690
OpenAlex
W2016267980
Cited by
271
References
62
FWCI
3.89
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Principal component analysis of molecular dynamics: On the use of Cartesian vs. internal coordinates. https://app.cochat.ai/papers/10.1063/1.4885338
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Sittel, F., Jain, A., & Stock, G. (2014). Principal component analysis of molecular dynamics: On the use of Cartesian vs. internal coordinates. The Journal of Chemical Physics. https://doi.org/10.1063/1.4885338

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