文摘
Understanding the connection between protein structure and function requires a quantitative understanding of electrostatic effects. Structure-based electrostatic calculations are essential for this purpose, but their use has been limited by a long-standing discussion on which value to use for the dielectric constants (蔚eff and 蔚p) required in Coulombic and Poisson鈥揃oltzmann models. The currently used values for 蔚eff and 蔚p are essentially empirical parameters calibrated against thermodynamic properties that are indirect measurements of protein electric fields. We determine optimal values for 蔚eff and 蔚p by measuring protein electric fields in solution using direct detection of NMR chemical shift perturbations (CSPs). We measured CSPs in 14 proteins to get a broad and general characterization of electric fields. Coulomb鈥檚 law reproduces the measured CSPs optimally with a protein dielectric constant (蔚eff) from 3 to 13, with an optimal value across all proteins of 6.5. However, when the water鈥損rotein interface is treated with finite difference Poisson鈥揃oltzmann calculations, the optimal protein dielectric constant (蔚p) ranged from 2 to 5 with an optimum of 3. It is striking how similar this value is to the dielectric constant of 2鈥? measured for protein powders and how different it is from the 蔚p of 6鈥?0 used in models based on the Poisson鈥揃oltzmann equation when calculating thermodynamic parameters. Because the value of 蔚p = 3 is obtained by analysis of NMR chemical shift perturbations instead of thermodynamic parameters such as pKa values, it is likely to describe only the electric field and thus represent a more general, intrinsic, and transferable 蔚p common to most folded proteins.