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Role of Dispersion Attraction in Differential Geometry Based Nonpolar Solvation Models

Zhan Chen — 2015

Molecular Based Mathematical Biology

Differential geometry (DG) based solvation models have shown their great success in solvation analysis by avoiding the use of ad hoc surface definitions, coupling the polar and nonpolar free energies, and generating solvent-solute boundary in a physically self-consistent fashion. Parameter optimization is a key factor for their accuracy, predictive ability of solvation free energies, and other applications. Recently, a series of efforts have been made to improve the parameterization of these new...

Minimization and Eulerian Formulation of Differential Geormetry Based Nonpolar Multiscale Solvation Models

Zhan Chen — 2016

Molecular Based Mathematical Biology

In this work, the existence of a global minimizer for the previous Lagrangian formulation of nonpolar solvation model proposed in [1] has been proved. One of the proofs involves a construction of a phase field model that converges to the Lagrangian formulation. Moreover, an Eulerian formulation of nonpolar solvation model is proposed and implemented under a similar parameterization scheme to that in [1]. By doing so, the connection, similarity and difference between the Eulerian formulation and...

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