Theory of the Poisson Green's function for discontinuous dielectric media with an application to protein biophysics.

Theory of the Poisson Green's function for discontinuous dielectric media with an application to protein biophysics.
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不连续介电介质的泊松格林函数理论及其在蛋白质生物物理学中的应用。

DOI:
10.1103/physreva.32.2476
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发表时间:
1985
期刊:
影响因子:
2.9
通讯作者:
Shaw Pb
Shaw Pb
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Shaw Pb

文献摘要

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对于介电常数εi的内区被任意闭合界面与介电常数εe的外区分开的情况,给出了泊松格林函数的理论,并发展了收敛的多重感应展开式作为格林函数的近似方案的基础。在某种意义上,这种扩展有效地将图像处理方法扩展到任意形状的表面。作为一般理论的应用,将水溶液中的蛋白质模拟为介电常数较低的荷电区和介电常数较高的荷电区。
A theory of the Poisson Green’s function is given for the case of an interior region of dielectric constant ε i separated by an arbitrary closed interface from an exterior region of dielectric constant ε e. A convergent multiple induction expansion is developed as the basis of an approximation scheme for the Green’s function. In a sense, this expansion effectively extends the method of images to surfaces of arbitrary shape. As an application of the general theory, a protein in an aqueous electrolyte is modeled as a charge-bearing region of low dielectric constant surrounded by a region of high dielectric constant.