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In this paper we develop a methodology for the mesoscale simulation of strong electrolytes. The methodology is an extension of the Fluctuating Immersed Boundary (FIB) approach that treats a solute as discrete Lagrangian particles that…

In this paper, a nonuniform size modified Poisson-Boltzmann ion channel (nuSMPBIC) model is presented as a nonlinear system of an electrostatic potential and multiple ionic concentrations. It mixes nonlinear algebraic equations with a…

Numerical Analysis · Mathematics 2022-09-14 Dexuan Xie

In this and the associated article 'BioBlender: Fast and Efficient All Atom Morphing of Proteins Using Blender Game Engine', by Zini et al., we present BioBlender, a complete instrument for the elaboration of motion (Zini et al.) and the…

exa-AMD is a Python-based application designed to accelerate the discovery and design of functional materials by integrating AI/ML tools, materials databases, and quantum mechanical calculations into scalable, high-performance workflows.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-27 Maxim Moraru , Weiyi Xia , Zhuo Ye , Feng Zhang , Yongxin Yao , Ying Wai Li , Cai-Zhuang Wang

Molecular Dynamics is an important tool for computational biologists, chemists, and materials scientists, consuming a sizable amount of supercomputing resources. Many of the investigated systems contain charged particles, which can only be…

Computational Engineering, Finance, and Science · Computer Science 2017-02-15 William McDoniel , Markus Höhnerbach , Rodrigo Canales , Ahmed E. Ismail , Paolo Bientinesi

We propose an energy-based model (EBM) of protein conformations that operates at atomic scale. The model is trained solely on crystallized protein data. By contrast, existing approaches for scoring conformations use energy functions that…

Machine Learning · Computer Science 2020-04-29 Yilun Du , Joshua Meier , Jerry Ma , Rob Fergus , Alexander Rives

Accurate absolute binding free energy (ABFE) calculations can reduce the time and cost of identifying drug candidates from a diverse pool of molecules that may have been overlooked experimentally. These calculations typically employ…

Chemical Physics · Physics 2025-09-29 Steven Ayoub , Michael Barton , David A. Case , Tyler Luchko

Ab initio wavefunction methods provide accurate molecular simulations but their computational scaling restricts applications to small systems. We develop a workflow combining quantum embedding to decompose a molecule into fragments with a…

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 describe a three-stage procedure to analyze the dependence of Poisson Boltzmann calculations on the shape, size and geometry of the boundary between solute and solvent. Our study is carried out within the boundary element formalism, but…

Biological Physics · Physics 2007-11-27 P. Kar , Y. Wei , U. H. E. Hansmann , S. Hoefinger

The evaluation of long-range Coulomb interactions is a significant cost in molecular dynamics (MD), even when using Particle Mesh Ewald (PME) or Particle-Particle-Particle-Mesh (PPPM) methods, which rely on Ewald splitting and the fast…

Numerical Analysis · Mathematics 2026-04-21 Jiuyang Liang , Libin Lu , Alex Barnett , Leslie Greengard , Shidong Jiang

In this paper, we develop and implement an efficient asymptotic-preserving (AP) scheme to solve the gas mixture of Boltzmann equations under the disparate mass scaling relevant to the so-called "epochal relaxation" phenomenon. The disparity…

Numerical Analysis · Mathematics 2025-07-11 Zhen Hao , Ning Jiang , Liu Liu

We compare different Poisson solvers within the context of an electrostatic Vlasov-Poisson system. These schemes are implemented as part of the IPPL (Independent Parallel Particle Layer) library (Frey et al., 2024), which provides…

Computational Engineering, Finance, and Science · Computer Science 2026-05-08 Sonali Mayani , Paul Fischill , Sriramkrishnan Muralikrishnan , Andreas Adelmann

The Poisson-Boltzmann equation is a nonlinear elliptic equation with Dirac distribution sources, which has been widely applied to the prediction of electrostatics potential of biological biomolecular systems in solution. In this paper, we…

Numerical Analysis · Mathematics 2023-07-18 Linghan Huang , Shi Shu , Ying Yang

The electrostatic potential in the neighborhood of a biomolecule can be computed thanks to the non-linear divergence-form elliptic Poisson-Boltzmann PDE. Dedicated Monte-Carlo methods have been developed to solve its linearized version (see…

Numerical Analysis · Mathematics 2016-11-15 Mireille Bossy , Nicolas Champagnat , Helene Leman , Sylvain Maire , Laurent Violeau , Mariette Yvinec

The US Department of Energy launched the Exascale Computing Project (ECP) in 2016 as part of a coordinated effort to achieve the next generation of high-performance computing (HPC) and to accelerate scientific discovery. The Exascale Proxy…

Computational Engineering, Finance, and Science · Computer Science 2022-01-28 Geng Liu , Saumil Patel , Ramesh Balakrishnan , Taehun Lee

The Poisson-Nernst-Planck (PNP) equations are one of the most effective model for describing electrostatic interactions and diffusion processes in ion solution systems, and have been widely used in the numerical simulations of biological…

Numerical Analysis · Mathematics 2023-12-19 Yang Liu , Shi Shu , Ying Yang

The accurate modeling of non-covalent interactions between helium and graphitic materials is important for understanding quantum phenomena in reduced dimensions, with the helium-benzene complex serving as the fundamental prototype. However,…

Strongly coupled immersed boundary (IB) methods solve the nonlinear fluid and structural equations of motion simultaneously for strongly enforcing the no-slip constraint on the body. Handling this constraint requires solving several large…

Fluid Dynamics · Physics 2021-03-12 Nirmal Jayaprasad Nair , Andres Goza
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