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Allowance for boundary sharpening in the determination of diffusion coefficients by sedimentation velocity: a historical perspective

机译:通过沉降速度确定扩散系数时边界锐化的余地:历史观点

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摘要

This review summarizes endeavors undertaken in the middle of last century to employ the Lamm equation for quantitative analysis of boundary spreading in sedimentation velocity experiments on globular proteins, thereby illustrating the ingenuity required to achieve that goal in an era when an approximate analytical solution of that nonlinear differential equation of second order provided the only means for its application. Application of procedures based on that approximate solution to simulated sedimentation velocity distributions has revealed a slight disparity (about 3%) between returned and input values of the diffusion coefficient—a discrepancy comparable with that of estimates obtained by current simulative analyses based on numerical solution of the Lamm equation. Although the massive technological developments in the gathering and treatment of sedimentation velocity data over the past three to four decades have changed dramatically the manner in which boundary spreading is analyzed, they have not led to any significant improvement in the accuracy of the diffusion coefficient thereby deduced.
机译:这篇综述总结了上世纪中叶采用Lamm方程对球状蛋白质沉降速度实验中边界扩展进行定量分析的努力,从而说明了在该非线性近似解析解时代实现这一目标所需的独创性二阶微分方程为其应用提供了唯一手段。将基于该近似解的程序应用于模拟的沉积速度分布,发现扩散系数的返回值与输入值之间存在细微差异(约3%),这一差异可与当前基于数值解法的模拟分析所获得的估计值相媲美。 Lamm方程。尽管在过去三到四十年中,在收集和处理沉积速度数据方面的大规模技术发展已大大改变了分析边界扩散的方式,但并没有导致由此得出的扩散系数精度的任何显着提高。 。

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