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Protein-ligand modeling underpins computational drug discovery and molecular design. Existing protein-ligand benchmarks typically evaluate whether a protein and ligand interact and how strongly they bind, through tasks such as binary…

Machine Learning · Computer Science 2026-05-26 Zhaohan Meng , Zhen Bai , Ke Yuan , Iadh Ounis , Zaiqiao Meng , Hao Xu , Joseph Loscalzo

Protein-Protein Interactions (PPIs) are fundamental in various biological processes and play a key role in life activities. The growing demand and cost of experimental PPI assays require computational methods for efficient PPI prediction.…

Machine Learning · Computer Science 2024-02-23 Lirong Wu , Yijun Tian , Yufei Huang , Siyuan Li , Haitao Lin , Nitesh V Chawla , Stan Z. Li

Computational modeling and simulation of fluid-structure interactions constitute a fundamental cornerstone for advancing aerospace engineering endeavors. This paper addresses the notion and implementation of the immersed boundary method for…

Computational Physics · Physics 2025-12-24 Longqing Ge , Qingdong Cai , Yonghao Zhang , Tianbai Xiao

We consider an osmotic equilibrium between bulk solutions of polyelectrolyte bounded by semipermeable membranes and separated by a thin film of salt-free liquid. Although the membranes are neutral, the counter-ions of the polyelectrolyte…

Soft Condensed Matter · Physics 2012-01-19 Olga I. Vinogradova , Lyderic Bocquet , Artem N. Bogdanov , Roumen Tsekov , Vladimir Lobaskin

In this work, an improved methodology for studying interactions of proteins in solution by small-angle scattering, is presented. Unlike the most common approach, where the protein-protein correlation functions $g_{ij}(r)$ are approximated…

Statistical Mechanics · Physics 2009-11-07 Francesco Spinozzi , Domenico Gazzillo , Achille Giacometti , Paolo Mariani , Flavio Carsughi

Bodge is a free and open-source Python package for constructing large-scale real-space tight-binding models for calculations in condensed matter physics. "Large-scale" means that it should remain performant even for lattices with millions…

Superconductivity · Physics 2024-10-14 Jabir Ali Ouassou

We implement a well-established concept to consider dispersion effects within a Poisson-Boltzmann approach of continuum solvation of proteins. The theoretical framework is particularly suited for boundary element methods. Free parameters…

Biological Physics · Physics 2007-11-28 Parimal Kar , Max Seel , Ulrich H. E. Hansmann , Siegfried Hoefinger

We have investigated a single charged microgel in aqueous solution with a combined simulational model and Poisson-Boltzmann theory. In the simulations we use a coarse-grained charged bead-spring model in a dielectric continuum, with…

Soft Condensed Matter · Physics 2009-03-12 Gil C. Claudio , Christian Holm , Kurt Kremer

We propose and justify a new approach for fast calculation of the electrostatic interaction energy of clusters of charged particles in constrained energy minimization in the framework of rigid protein-ligand docking. Our ``blind search''…

Numerical Analysis · Mathematics 2025-10-31 Peter Benner , Boris N. Khoromskij , Venera Khoromskaia , Matthias Stein

The Poisson-Boltzmann (PB) equation provides a mean-field theory of electrolyte solutions at interfaces and in confinement, describing how ions reorganize close to charged surfaces to form the so-called electrical double layer (EDL), with…

Soft Condensed Matter · Physics 2024-09-10 Cecilia Herrero , Laurent Joly

To accurately model the electron density and polarization, a polarizable multipole (PM) model using the AMOEBA force field has been introduced \cite{Ren:2003, Shi:2013} recently. In the AMOEBA force field, the traditional point atomic…

Mathematical Physics · Physics 2025-11-05 Xin Yang , Shan Zhao , Weihua Geng

We consider the electrostatic interaction between two rigid membranes, with different surface charge densities of opposite sign, across an aqueous solution without added salt. Exact solutions to the nonlinear Poisson-Boltzmann equation are…

Soft Condensed Matter · Physics 2016-08-31 A. W. C. Lau , P. Pincus

Antibody-antigen interactions play a crucial role in identifying and neutralizing harmful foreign molecules. In this paper, we investigate the optimal representation for predicting the binding sites in the two molecules and emphasize the…

Biomolecules · Quantitative Biology 2023-07-26 Marco Pegoraro , Clémentine Dominé , Emanuele Rodolà , Petar Veličković , Andreea Deac

In recent years, molecular dynamics (MD) simulations have emerged as a pivotal tool for understanding the structure, dynamics, and phase behavior in charged soft matter systems. To explore phenomena across greater length and time scales in…

Computational Physics · Physics 2024-07-18 Benjamin Bobin Ye , Shensheng Chen , Zhen-Gang Wang

Continuum or hybrid modeling of bilayer membrane morphological dynamics induced by embedded proteins necessitates the identification of protein-membrane interfaces and coupling of deformations of two surfaces. In this article we developed…

Soft Condensed Matter · Physics 2020-06-29 Y. C. Zhou , David Argudo , Frank Marcoline , Michael Grabe

We developed a novel method based on the Fourier analysis of protein molecular surfaces to speed up the analysis of the vast structural data generated in the post-genomic era. This method computes the power spectrum of surfaces of the…

Quantitative Methods · Quantitative Biology 2015-09-18 C. Sofia Carvalho , Dimitrios Vlachakis , Georgia Tsiliki , Vasileios Megalooikonomou , Sophia Kossida

Predicting protein-protein interactions (PPIs) by learning informative representations from amino acid sequences is a challenging yet important problem in biology. Although various deep learning models in Siamese architecture have been…

Machine Learning · Computer Science 2020-10-19 Kishan KC , Feng Cui , Anne Haake , Rui Li

The structure and function of biological molecules are strongly influenced by the water and dissolved ions that surround them. This aqueous solution (solvent) exerts significant electrostatic forces in response to the biomolecule's…

Numerical Analysis · Mathematics 2015-12-29 Matthew G. Knepley , Jaydeep P. Bardhan

The interaction of particles in an electrolytic medium can be calculated by solving the Poisson equation inside the solutes and the linearized Poisson--Boltzmann equation in the solvent, with suitable boundary conditions at the interfaces.…

Soft Condensed Matter · Physics 2025-12-12 Sergii V. Siryk , Walter Rocchia

We present the open source distributed software package Poisson-Boltzmann Analytical Method (PB-AM), a fully analytical solution to the linearized Poisson Boltzmann equation, for molecules represented as non-overlapping spherical cavities.…

Biomolecules · Quantitative Biology 2016-09-27 Lisa E. Feldberg , David H. Brookes , Eng-Hui Yap , Elizabeth Jurrus , Nathan Baker , Teresa Head-Gordon
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