Quantum mechanics

Mean curvature

Gaussian

Curvature

Statistics

Solvation

Operating system

Economics

Computer science

Diagram

Physics

Mathematics

Mathematical analysis

Geometry

Financial economics

Gaussian curvature

Derivative (finance)

Second derivative

Space (punctuation)

Computational and Mathematical Biophysics

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.

The Weighted Gaussian Curvature Derivative of a Space-Filling Diagram