@article{9156,
  abstract     = {The morphometric approach [11, 14] writes the solvation free energy 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 weighted Gaussian curvature. Together with the derivatives of the weighted volume in [7], the weighted area in [4], and the weighted mean curvature in [1], this yields the derivative of the morphometric expression of solvation free energy.},
  author       = {Akopyan, Arseniy and Edelsbrunner, Herbert},
  issn         = {2544-7297},
  journal      = {Computational and Mathematical Biophysics},
  number       = {1},
  pages        = {74--88},
  publisher    = {De Gruyter},
  title        = {{The weighted Gaussian curvature derivative of a space-filling diagram}},
  doi          = {10.1515/cmb-2020-0101},
  volume       = {8},
  year         = {2020},
}

@article{9157,
  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 weighted mean curvature. Together with the derivatives of the weighted volume in [7], the weighted area in [3], and the weighted Gaussian curvature [1], this yields the derivative of the morphometric expression of the solvation free energy.},
  author       = {Akopyan, Arseniy and Edelsbrunner, Herbert},
  issn         = {2544-7297},
  journal      = {Computational and Mathematical Biophysics},
  number       = {1},
  pages        = {51--67},
  publisher    = {De Gruyter},
  title        = {{The weighted mean curvature derivative of a space-filling diagram}},
  doi          = {10.1515/cmb-2020-0100},
  volume       = {8},
  year         = {2020},
}