The cell, as the most fundamental unit of life, is a microcosm of biology in which the
confluence of nearly all aspects of classical physics (mechanics, statistical physics …

Efficiency and accuracy are two major concerns in numerical solutions of the Poisson-
Boltzmann equation for applications in chemistry and biophysics. Recent developments in …

Although deep learning approaches have had tremendous success in image, video and
audio processing, computer vision, and speech recognition, their applications to three …

Biosensors based on silicon nanowires (Si-NWs) promise highly sensitive dynamic label-
free electrical detection of biomolecules. Despite the tremendous potential and promising …

Abstract The Poisson–Boltzmann equation (PBE) is an established model for the
electrostatic analysis of biomolecules. The development of advanced computational …

A widely used electrostatics model in the biomolecular modeling community, the nonlinear
Poisson–Boltzmann equation, along with its finite element approximation, are analyzed in …

This work presents a few variational multiscale models for charge transport in complex
physical, chemical, and biological systems and engineering devices, such as fuel cells, solar …

Abstract The Poisson–Nernst–Planck (PNP) theory is a simplified continuum model for a
wide variety of chemical, physical and biological applications. Its ability of providing …

This paper presents a differential geometry based model for the analysis and computation of
the equilibrium property of solvation. Differential geometry theory of surfaces is utilized to …

Persistent homology has emerged as a popular technique for the topological simplification
of big data, including biomolecular data. Multidimensional persistence bears considerable …