Date of Award


Document Type


Degree Name

Doctor of Philosophy (PhD)


Physics and Astronomy

Committee Member

Emil Alexov, Committee Chair

Committee Member

Feng Ding

Committee Member

Hugo Sanabria

Committee Member

Bradley S Meyer


Electrostatic and geometric factors are critical to modeling the interactions and solvation effects of biomolecules in the aqueous environments of biological cells as they respectively influence the polar and non-polar components of the associated free energies. Conventional protocols use a hard-sphere model of atoms to devise and study the underlying thermodynamics. But this traditional model tends to overlook some of the important biophysical aspects at the cost of oversimplification of the representation of the solute-solvent environments. Here an alternative and physically appealing model of atoms – a Gaussian-based model, is presented which replaces the hard-sphere model with a smooth density-based description of atoms. This dissertation explains the derivation of a physically appealing dielectric distribution from the Gaussian schematic to model the electrostatics of biomolecules using the implicit-solvent/Poisson-Boltzmann (PB) formalism. It also demonstrates the advantages of using it for computing geometric properties of a molecule such as its volume and surface area (SA) for estimating non-polar portions of the free energy. While highlighting the qualitative importance of the Gaussian-based model, it offers conceptual proofs towards its validity through computational investigations of explicit solvent simulations. It also reports the key features of the Gaussian-based model, which impart to it the capacity of accurately capturing the crucial biophysical factors that characterize biomolecular properties, namely – the effect of intrinsic conformational flexibility and salt distribution. The non-triviality of these factors and their portrayal through the Gaussian models are meticulously discussed. A major theme of this work is the implementation of the Gaussian model of dielectric distribution and volume/SA estimation into the PB solver package called Delphi. These developments illustrate the manner in which the utility of Delphi has been expanded and its reputation as a popular tool for modeling solvation effects with appreciable time-efficacy and accuracy has been enhanced.



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