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We consider the Poisson-Boltzmann equation in a periodic cell, representative of a porous medium. It is a model for the electrostatic distribution of $N$ chemical species diluted in a liquid at rest, occupying the pore space with charged…

偏微分方程分析 · 数学 2015-04-24 Gregoire Allaire , Jean-Francois Dufreche , Andro Mikelic , Andrey Piatnitski

Many drug delivery systems suffer from undesirable interactions with the host immune system. It has been experimentally established that covalent attachment (irreversible adsorption) of suitable macromolecules to the surface of the drug…

While fluids near a solid surface are at the core of applications in energy storage/conversion, electrochemistry/electrowetting and adsorption/catalysis, their nanoscale behavior remains only partially deciphered. Beyond conventional…

软凝聚态物质 · 物理学 2026-01-07 Cecilia Herrero , Lyderic Bocquet , Benoit Coasne

The protein-protein interactions (PPIs) are crucial for understanding the majority of cellular processes. PPIs play important role in gene transcription regulation, cellular signaling, molecular basis of immune response and more. Moreover,…

生物大分子 · 定量生物学 2016-05-31 Maciej Pawel Ciemny , Mateusz Kurcinski , Andrzej Kolinski , Sebastian Kmiecik

In living cells, protein-rich condensates can wet the cell membrane and surfaces of membrane-bound organelles. Interestingly, many phase-separating proteins also bind to membranes leading to a molecular layer of bound molecules. Here we…

生物物理 · 物理学 2022-03-22 Xueping Zhao , Giacomo Bartolucci , Alf Honigmann , Frank Jülicher , Christoph A. Weber

Specific binding of proteins to DNA is one of the most common ways in which gene expression is controlled. Although general rules for the DNA-protein recognition can be derived, the ambiguous and complex nature of this mechanism precludes a…

生物大分子 · 定量生物学 2007-12-17 E. Moroni , M. Caselle , F. Fogolari

Equilibrium adsorption of disk-like particles on patterned adhesive surfaces is studied using Monte Carlo simulations. The surface is represented as a two-dimensional plane with circular adhesive domains arranged either regularly or…

软凝聚态物质 · 物理学 2026-05-05 Nazar Kukarkin , Taras Patsahan

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…

数值分析 · 数学 2015-12-29 Matthew G. Knepley , Jaydeep P. Bardhan

Vacuum breakdowns in particle accelerators and other devices operating at high electric fields is a common problem in the operation of these devices. It has been proposed that the onset of vacuum breakdowns is associated with appearance of…

材料科学 · 物理学 2018-05-29 Kristian Kuppart , Simon Vigonski , Alvo Aabloo , Flyura Djurabekova , Vahur Zadin

Recent experimental results about the formation of molecular hydrogen on astrophysically relevant surfaces under conditions close to those encountered in the interstellar medium are analyzed using rate equations. The parameters of the rate…

天体物理学 · 物理学 2009-10-31 N. Katz , I. Furman , O. Biham , V. Pirronello , G. Vidali

We develop a computational method for modeling electrostatic interactions of arbitrarily-shaped, polarizable objects on colloidal length scales, including colloids/nanoparticles, polymers, and surfactants, dispersed in explicit ion…

软凝聚态物质 · 物理学 2024-06-18 Emily Krucker-Velasquez , James W. Swan , Zachary Sherman

In this paper we propose a nonlinear elasticity model of macromolecular conformational change (deformation) induced by electrostatic forces generated by an implicit solvation model. The Poisson-Boltzmann equation for the electrostatic…

偏微分方程分析 · 数学 2010-01-12 Yongcheng Zhou , Michael Holst , James Andrew McCammon

The differing ability of polypeptide conformations to act as the native state of proteins has long been rationalized in terms of differing kinetic accessibility or thermodynamic stability. Building on the successful applications of physical…

生物大分子 · 定量生物学 2021-11-29 Matteo Negri , Guido Tiana , Riccardo Zecchina

We present a novel statistical mechanics formalism for the theoretical description of the process of protein folding$\leftrightarrow$unfolding transition in water environment. The formalism is based on the construction of the partition…

生物物理 · 物理学 2010-05-20 A. V. Yakubovich , A. V. Solov'yov , W. Greiner

Many signalling functions in molecular biology require proteins bind to substrates such as DNA in response to environmental signals such as the simultaneous binding to a small molecule. Examples are repressor proteins which may transmit…

生物大分子 · 定量生物学 2009-11-10 Rhoda J. Hawkins , Thomas C. B. McLeish

The electrostatic potential across a short ballistic molecular conductor depends sensitively on the geometry of its environment, and can affect its conduction significantly by influencing its energy levels and wave functions. We illustrate…

介观与纳米尺度物理 · 物理学 2009-11-10 Gengchiau Liang , Avik Ghosh , Magnus Paulsson , Supriyo Datta

In this paper we have derived explicitly computable bounds on the error in energy norms for the fully nonlinear Poisson-Boltzmann equation. Together with the computable bounds, we have also obtained efficient error indicators which can…

数值分析 · 数学 2018-05-30 Johannes Kraus , Svetoslav Nakov , Sergey Repin

Proteins are large and complex molecular machines. In order to perform their function, most of them need energy, e.g. either in the form of a photon, like in the case of the visual pigment rhodopsin, or through the breaking of a chemical…

生物大分子 · 定量生物学 2009-11-13 Francesco Piazza , Yves-Henri Sanejouand

Kinesin and related motor proteins utilize ATP fuel to propel themselves along the external surface of microtubules in a processive and directional fashion. We show that the observed step-like motion is possible through time varying charge…

生物大分子 · 定量生物学 2007-05-23 A. Ciudad , J. M. Sancho , G. P. Tsironis

We have investigated the potential energy surfaces for glycine chains consisting of three and six amino acids. For these molecules we have calculated potential energy surfaces as a function of the Ramachandran angles phi and psi, which are…