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arXiv 1505.06968cond-mat.softphysics.chem-ph
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生物分子静电连续介质模型的非线性边界条件

A Nonlinear Boundary Condition for Continuum Models of Biomolecular Electrostatics

J. P. Bardhan, D. A. Tejani, N. S. Wieckowski, A. Ramaswamy, M. G. Knepley

摘要:

要了解蛋白质等生物分子的行为,需要了解周围流体(溶剂)环境的关键影响-水与移动盐离子,如钠。不幸的是,对于许多研究来说,完全原子模拟被数千个水分子和离子包围的生物分子在计算上太慢了。基于宏观介电理论(例如泊松方程)的连续溶剂模型是流行的替代方案,但它们的简单性未能捕捉到众所周知的功能意义的现象。例如,标准理论预测静电响应相对于原子电荷的符号是对称的,即使如果电荷靠近生物分子表面,则响应实际上是强烈不对称的。在这项工作中,我们提出了一个不对称的连续理论,捕获的基本物理机制-溶剂原子的有限大小-使用非线性边界条件(NLBC)在生物分子和溶剂之间的介电界面。使用边界积分方法的数值计算表明,新的NLBC模型再现了更现实的,昂贵的,全原子分子动力学(MD)模拟显式水计算的结果范围广泛。我们讨论了模型扩展,如建模稀电解质溶剂与Debye-Huckel理论(线性化的泊松-玻尔兹曼方程)和机会,为电磁学界在分子纳米科学和工程的这一重要领域的研究作出贡献。

英文摘要:

Understanding the behavior of biomolecules such as proteins requires understanding the critical influence of the surrounding fluid (solvent) environment--water with mobile salt ions such as sodium. Unfortunately, for many studies, fully atomistic simulations of biomolecules, surrounded by thousands of water molecules and ions are too computationally slow. Continuum solvent models based on macroscopic dielectric theory (e.g. the Poisson equation) are popular alternatives, but their simplicity fails to capture well-known phenomena of functional significance. For example, standard theories predict that electrostatic response is symmetric with respect to the sign of an atomic charge, even though response is in fact strongly asymmetric if the charge is near the biomolecule surface. In this work, we present an asymmetric continuum theory that captures the essential physical mechanism--the finite size of solvent atoms--using a nonlinear boundary condition (NLBC) at the dielectric interface between the biomolecule and solvent. Numerical calculations using boundary-integral methods demonstrate that the new NLBC model reproduces a wide range of results computed by more realistic, and expensive, all-atom molecular-dynamics (MD) simulations in explicit water. We discuss model extensions such as modeling dilute-electrolyte solvents with Debye-Huckel theory (the linearized Poisson-Boltzmann equation) and opportunities for the electromagnetics community to contribute to research in this important area of molecular nanoscience and engineering.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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