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The Poisson-Boltzmann equation offers an efficient way to study electrostatics in molecular settings. Its numerical solution with the boundary element method is widely used, as the complicated molecular surface is accurately represented by…

数值分析 · 数学 2021-08-25 Stefan D. Search , Christopher D. Cooper , Elwin van't Wout

The Poisson-Boltzmann equation is a widely used model to study the electrostatics in molecular solvation. Its numerical solution using a boundary integral formulation requires a mesh on the molecular surface only, yielding accurate…

数值分析 · 数学 2020-09-25 Vicente Ramm , Jehanzeb H. Chaudhry , Christopher D. Cooper

The Poisson-Boltzmann (PB) implicit solvent model is a popular framework for studying the electrostatics of biomolecules immersed in water with dissolved salt. In this model the dielectric interface between the biomolecule and solvent is…

计算物理 · 物理学 2020-10-22 Leighton Wilson , Robert Krasny

In this paper, we present a GPU-accelerated direct-sum boundary integral method to solve the linear Poisson-Boltzmann (PB) equation. In our method, a well-posed boundary integral formulation is used to ensure the fast convergence of Krylov…

数值分析 · 数学 2015-06-12 Weihua Geng , Ferosh Jacob

Developing accurate solvers for the Poisson Boltzmann (PB) model is the first step to make the PB model suitable for implicit solvent simulation. Reducing the grid size influence on the performance of the solver benefits to increasing the…

数值分析 · 数学 2016-07-18 Bao Wang , Guowei Wei

Electrostatic interactions between macroions largely govern the equilibrium thermodynamic and dynamical properties of charge-stabilized colloidal suspensions and polyelectrolyte solutions. Predicting the properties of such complex,…

软凝聚态物质 · 物理学 2012-12-11 Alan R. Denton

The behavior of electrolyte solutions close to a charged surface is studied theoretically. A modified Poisson-Boltzmann equation which takes into account the volume excluded by the ions in addition to the electrostatic interactions is…

软凝聚态物质 · 物理学 2007-05-23 I. Borukhov , D. Andelman , H. Orland

Credibility building activities in computational research include verification and validation, reproducibility and replication, and uncertainty quantification. Though orthogonal to each other, they are related. This paper presents…

计算物理 · 物理学 2021-04-28 Natalia C. Clementi , Lorena A. Barba

Biomolecular electrostatics is key in protein function and the chemical processes affecting it. Implicit-solvent models via the Poisson-Boltzmann (PB) equation provide insights with less computational cost than atomistic models, making…

计算物理 · 物理学 2022-12-27 Tingyu Wang , Christopher D. Cooper , Timo Betcke , Lorena A. Barba

This work further improves the pseudo-transient approach for the Poisson Boltzmann equation (PBE) in the electrostatic analysis of solvated biomolecules. The numerical solution of the nonlinear PBE is known to involve many difficulties,…

数值分析 · 数学 2020-12-01 Benjamin Jones , Sheik Ahmed Ullah , Siwen Wang , Shan Zhao

We present an exact many-body framework for electrostatic interactions among $N$ arbitrarily charged spheres in an electrolyte, modeled by the linearized Poisson--Boltzmann equation. Building on a spectral analysis of nonstandard…

软凝聚态物质 · 物理学 2025-12-12 Sergii V. Siryk , Walter Rocchia

We present reproducible, edge-aware baselines for ogbn-proteins in PyTorch Geometric (PyG). We study two system choices that dominate practice: (i) how 8-dimensional edge evidence is aggregated into node inputs, and (ii) how edges are used…

机器学习 · 计算机科学 2025-11-18 Aleksandar Stanković , Dejan Lisica

Accurate quantification of protein-nanoparticle interactions is essential for applications in nanobiotechnology, nanomedicine, and drug delivery. Motivated by recent computational and experimental work, we combine coarse-grained united-atom…

The Adaptive Poisson-Boltzmann Solver (APBS) software was developed to solve the equations of continuum electrostatics for large biomolecular assemblages that has provided impact in the study of a broad range of chemical, biological, and…

Optimal exploitation of supercomputing resources for the evaluation of electrostatic forces remains a challenge in molecular dynamics simulations of very large systems. The most efficient methods are currently based on particle-mesh Ewald…

计算物理 · 物理学 2025-09-23 Federica Troni , Davide Grassano , Jayashree Narayan , Benoît Roux , Sara Bonella

In this thesis we study the lateral electrostatic interaction between a pair of non-identical, moderately charged colloidal particles trapped at an electrolyte interface in the limit of short inter-particle separations. Using a simplified…

软凝聚态物质 · 物理学 2017-10-17 Timo Schmetzer

It has recently been demonstrated that many biological networks exhibit a scale-free topology where the probability of observing a node with a certain number of edges (k) follows a power law: i.e. p(k) ~ k^-g. This observation has been…

分子网络 · 定量生物学 2009-11-11 Eric J. Deeds , Orr Ashenberg , Eugene I. Shakhnovich

The computational study of chemical reactions in complex, wet environments is critical for applications in many fields. It is often essential to study chemical reactions in the presence of applied electrochemical potentials, taking into…

材料科学 · 物理学 2016-01-20 G. Fisicaro , L. Genovese , O. Andreussi , N. Marzari , S. Goedecker

The Poisson-Fermi model is an extension of the classical Poisson-Boltzmann model to include the steric and correlation effects of ions and water treated as nonuniform spheres in aqueous solutions. Poisson-Boltzmann electrostatic…

计算物理 · 物理学 2018-07-04 Jen-Hao Chen , Ren-Chuen Chen , Jinn-Liang Liu

Simulations of macromolecular diffusion and adsorption in confined environments can offer valuable mechanistic insights into numerous biophysical processes. In order to model solutes at atomic detail on relevant time scales, Brownian…

软凝聚态物质 · 物理学 2021-03-16 Martin Reinhardt , Neil J. Bruce , Daria B. Kokh , Rebecca C. Wade