The Weighted Gaussian Curvature Derivative of a Space-Filling Diagram

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.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
The Weighted Gaussian Curvature Derivative of a Space-Filling Diagram ; volume:8 ; number:1 ; year:2020 ; pages:74-88 ; extent:15
Computational and mathematical biophysics ; 8, Heft 1 (2020), 74-88 (gesamt 15)

Creator
Akopyan, Arsenyi
Edelsbrunner, Herbert

DOI
10.1515/cmb-2020-0101
URN
urn:nbn:de:101:1-2410261659005.631228017551
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:20 AM CEST

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Associated

  • Akopyan, Arsenyi
  • Edelsbrunner, Herbert

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