%0 Journal Article %1 hlwoodcock:M.1997d %A Schaefer, M. %A Sommer, M. %A Karplus, M. %D 1997 %J J. Phys. Chem. B %K classical h-1-nmr ionizable pka values titration electrostatics lysozyme groups dynamics residues hen model bibtex-import multiple-site egg-white %N 9 %P 1663--1683 %T Ph-dependence of protein stability: absolute electrostatic free energy differences between conformations %V 101 %X A method for calculating the absolute electrostatic free energy of a titrating system as a function of pH is proposed, and a concise formula for the free energy is presented. Based on the theory of linked functions, the electrostatic free energy is calculated by integration of the titration curve. The approach uses pH = infinity, at which the system is in the unprotonated stare, as the reference pH for the integration. The finite- difference Poisson-Boltzmann method is used for the electrostatic free energy, and the titration curve is obtained by the Monte Carlo approach of Beroza et al.(1) The method is applied to the native and denatured state of hen egg-white lysozyme in aqueous solution. A dielectric constant of 20 is assigned to the protein interior, in accord with the work of Antosiewicz et al.(2) X-ray structures are used for the native state, and an extended beta-structure is used for the unfolded reference state; good agreement with experiment is obtained. Comparison of the results for the extended beta-structure and for a ''null'' model of noninteracting sites for the unfolded state shows significant differences. This indicates that there are important interactions between titrating sites in the unfolded state, in agreement with recent experimental estimates by Oliveberg et al.(3) A number of structures obtained by in vacuo minimization of the native and unfolded protein are compared, and it is shown that the absolute pH-stability curve has a strong conformational dependence, although the relative stability curve does not. Calculations of absolute free energy differences, rather than relative changes as a function of pH, are of general interest; for example, they can be used to study the binding energy of ligands involving small titratable compounds.

@article{hlwoodcock:M.1997d, abstract = {A method for calculating the absolute electrostatic free energy of a titrating system as a function of pH is proposed, and a concise formula for the free energy is presented. Based on the theory of linked functions, the electrostatic free energy is calculated by integration of the titration curve. The approach uses pH = infinity, at which the system is in the unprotonated stare, as the reference pH for the integration. The finite- difference Poisson-Boltzmann method is used for the electrostatic free energy, and the titration curve is obtained by the Monte Carlo approach of Beroza et al.(1) The method is applied to the native and denatured state of hen egg-white lysozyme in aqueous solution. A dielectric constant of 20 is assigned to the protein interior, in accord with the work of Antosiewicz et al.(2) X-ray structures are used for the native state, and an extended beta-structure is used for the unfolded reference state; good agreement with experiment is obtained. Comparison of the results for the extended beta-structure and for a ''null'' model of noninteracting sites for the unfolded state shows significant differences. This indicates that there are important interactions between titrating sites in the unfolded state, in agreement with recent experimental estimates by Oliveberg et al.(3) A number of structures obtained by in vacuo minimization of the native and unfolded protein are compared, and it is shown that the absolute pH-stability curve has a strong conformational dependence, although the relative stability curve does not. Calculations of absolute free energy differences, rather than relative changes as a function of pH, are of general interest; for example, they can be used to study the binding energy of ligands involving small titratable compounds.}, added-at = {2006-06-16T05:03:46.000+0200}, author = {Schaefer, M. and Sommer, M. and Karplus, M.}, biburl = {https://www.bibsonomy.org/bibtex/2a7255cf4a1518e01eeb5f82dc636bdd1/hlwoodcock}, citeulike-article-id = {569554}, comment = {WL357 J PHYS CHEM B}, interhash = {46bff3f5db18f825bcfd8979d62f46f4}, intrahash = {a7255cf4a1518e01eeb5f82dc636bdd1}, journal = {J. Phys. Chem. B}, keywords = {classical h-1-nmr ionizable pka values titration electrostatics lysozyme groups dynamics residues hen model bibtex-import multiple-site egg-white}, number = 9, pages = {1663--1683}, priority = {2}, timestamp = {2006-06-16T05:03:46.000+0200}, title = {Ph-dependence of protein stability: absolute electrostatic free energy differences between conformations}, volume = 101, year = 1997 }