Eisenberg Henryk
Structural Biology Department, Weizmann Institute of Science, 76100 Rehovot, Israel.
Eur Biophys J. 2003 Aug;32(5):406-11. doi: 10.1007/s00249-003-0295-x. Epub 2003 Apr 24.
The subunit molar mass of hemoglobin was established in the 19th century by chemical analysis, the tetramer structure by osmotic pressure determination in 1924 and by the newly developed analytical ultracentrifuge in 1926, which became a powerful tool for biological macromolecule molar mass determinations. The Svedberg equation was derived by eliminating the translational friction coefficient relating to sedimentation and diffusion in the ultracentrifuge in a strictly solute/solvent vanishing concentration two-component system analysis. A differential equation describing the radial equilibrium concentration distribution in the ultracentrifuge was also derived, both yielding the buoyant molar mass (1-nu2rho)M2 term. Many years later it was realized that solutions of biological macromolecules are multicomponent systems and the two-component analysis leads to minor or major erroneous results. Thermodynamic derivation of an equation for multicomponent systems redefines the buoyant molar mass terms by (deltarho/deltac2)muM2, leading to correct molar mass (g/mol) values following determination of the density increment at constant chemical potentials of diffusible solutes, and powerfully connects the analytical sedimentation equation to the osmotic pressure concentration derivative and, in a broad complementary sense, to light, X-ray and neutron scattering experiments. Macromolecular interactions can be studied with high precision and solute-solvent interactions yield powerful information relating to "thermodynamic" hydration, closely related to hydration derived from X-ray diffraction, as well as solute-cosolute interactions. A series of examples is given to demonstrate the correctness and usefulness of the thermodynamic multicomponent system approach. It is a strange fact that in current analytical ultracentrifugation analysis the elegant and powerful multicomponent solution technology is almost totally disregarded and the classical limited validity Svedberg approach is used uniquely.
血红蛋白的亚基摩尔质量在19世纪通过化学分析得以确定,其四级结构于1924年通过渗透压测定以及1926年通过新开发的分析超速离心机得以确定,分析超速离心机成为测定生物大分子摩尔质量的有力工具。斯维德贝里方程是在严格的溶质/溶剂浓度趋近于零的双组分系统分析中,通过消除与超速离心机中沉降和扩散相关的平移摩擦系数而推导出来的。还推导了一个描述超速离心机中径向平衡浓度分布的微分方程,二者都得出了浮力摩尔质量(1-ν2ρ)M2项。许多年后人们意识到,生物大分子溶液是多组分系统,双组分分析会导致或多或少的错误结果。多组分系统方程的热力学推导通过(δρ/δc2)μM2重新定义了浮力摩尔质量项,在确定可扩散溶质的恒定化学势下的密度增量后可得出正确的摩尔质量(克/摩尔)值,并有力地将分析沉降方程与渗透压浓度导数联系起来,从广义互补意义上讲,还与光、X射线和中子散射实验联系起来。大分子相互作用可以高精度地进行研究,溶质-溶剂相互作用能提供与“热力学”水合作用相关的有力信息,这与从X射线衍射得出的水合作用密切相关,以及溶质-共溶质相互作用。给出了一系列例子来证明热力学多组分系统方法的正确性和实用性。一个奇怪的事实是,在当前的分析超速离心分析中,优雅而强大的多组分溶液技术几乎完全被忽视,唯一使用的是经典的有效性有限的斯维德贝里方法。