Related references
Note: Only part of the references are listed.Modified Poisson-Boltzmann equations and macroscopic forces in inhomogeneous ionic fluids
Yury A. Budkov et al.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2022)
The Calculus of Boundary Variations and the Dielectric Boundary Force in the Poisson-Boltzmann Theory for Molecular Solvation
Bo Li et al.
JOURNAL OF NONLINEAR SCIENCE (2021)
Theory of Ionic Liquids with Polarizable Ions on a Charged Electrode
Yury A. Budkov et al.
JOURNAL OF PHYSICAL CHEMISTRY C (2021)
Theory of electrosorption of water from ionic liquids
Yury A. Budkov et al.
ELECTROCHIMICA ACTA (2018)
Structural interactions in ionic liquids linked to higher-order Poisson-Boltzmann equations
R. Blossey et al.
PHYSICAL REVIEW E (2017)
On the theory of electric double layer with explicit account of a polarizable co-solvent
Yu. A. Budkov et al.
JOURNAL OF CHEMICAL PHYSICS (2016)
General theory of asymmetric steric interactions in electrostatic double layers
A. C. Maggs et al.
SOFT MATTER (2016)
Variational Implicit Solvation with Poisson-Boltzmann Theory
Shenggao Zhou et al.
JOURNAL OF CHEMICAL THEORY AND COMPUTATION (2014)
A Modified Nonlocal Continuum Electrostatic Model for Protein in Water and Its Analytical Solutions for Ionic Born Models
Dexuan Xie et al.
COMMUNICATIONS IN COMPUTATIONAL PHYSICS (2013)
The Ionic Atmosphere around A-RNA: Poisson-Boltzmann and Molecular Dynamics Simulations
Serdal Kirmizialtin et al.
BIOPHYSICAL JOURNAL (2012)
Formulation of a new and simple nonuniform size-modified poisson-boltzmann description
Alexander H. Boschitsch et al.
JOURNAL OF COMPUTATIONAL CHEMISTRY (2012)
Numerical Optimization of Low Eigenvalues of the Dirichlet and Neumann Laplacians
Pedro R. S. Antunes et al.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS (2012)
Dielectric boundary force in numerical Poisson-Boltzmann methods: Theory and numerical strategies
Qin Cai et al.
CHEMICAL PHYSICS LETTERS (2011)
DIELECTRIC BOUNDARY FORCE IN MOLECULAR SOLVATION WITH THE POISSON-BOLTZMANN FREE ENERGY: A SHAPE DERIVATIVE APPROACH
Bo Li et al.
SIAM JOURNAL ON APPLIED MATHEMATICS (2011)
Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes I: Finite element solutions
Benzhuo Lu et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2010)
SHAPE DERIVATIVE OF DRAG FUNCTIONAL
P. I. Plotnikov et al.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION (2010)
Continuum electrostatics for ionic solutions with non-uniform ionic sizes
Bo Li
NONLINEARITY (2009)
MINIMIZATION OF ELECTROSTATIC FREE ENERGY AND THE POISSON-BOLTZMANN EQUATION FOR MOLECULAR SOLVATION WITH IMPLICIT SOLVENT
Bo Li
SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2009)
Review: Continuum molecular electrostatics, salt effects, and counterion binding-a review of the Poisson-Boltzmann theory and its modifications
Pawel Grochowski et al.
BIOPOLYMERS (2008)
Electrostatic free energy and its variations in implicit solvent models
Jianwei Che et al.
JOURNAL OF PHYSICAL CHEMISTRY B (2008)
Generalized Poisson-Fermi formalism for investigating size correlation effects with multiple ions
Guillaume Tresset
PHYSICAL REVIEW E (2008)
Quantitative and comprehensive decomposition of the ion atmosphere around nucleic acids
Yu Bai et al.
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY (2007)
Macroscopic electrostatic models for protonation states in proteins
D Bashford
FRONTIERS IN BIOSCIENCE-LANDMARK (2004)
The Poisson-Boltzmann equation for biomolecular electrostatics: a tool for structural biology
F Fogolari et al.
JOURNAL OF MOLECULAR RECOGNITION (2002)
Divergence form elliptic equations with discontinuous coefficients
YY Li et al.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2000)