The Weighted Mean Curvature Derivative of a Space-Filling Diagram

@article{Akopyan2020TheWM,
  title={The Weighted Mean Curvature Derivative of a Space-Filling Diagram},
  author={Arseniy V. Akopyan and Herbert Edelsbrunner},
  journal={Computational and Mathematical Biophysics},
  year={2020},
  volume={8},
  pages={51 - 67}
}
Abstract Representing an atom by a solid sphere in 3-dimensional Euclidean space, we get the space-filling diagram of a molecule by taking the union. Molecular dynamics simulates its motion subject to bonds and other forces, including the solvation free energy. The morphometric approach [12, 17] writes the latter as a linear combination of weighted versions of the volume, area, mean curvature, and Gaussian curvature of the space-filling diagram. We give a formula for the derivative of the… 

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