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      Elucidating the energetic contributions to the binding free energy

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      The Journal of Chemical Physics
      AIP Publishing

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          The statistical-thermodynamic basis for computation of binding affinities: a critical review.

          Although the statistical thermodynamics of noncovalent binding has been considered in a number of theoretical papers, few methods of computing binding affinities are derived explicitly from this underlying theory. This has contributed to uncertainty and controversy in certain areas. This article therefore reviews and extends the connections of some important computational methods with the underlying statistical thermodynamics. A derivation of the standard free energy of binding forms the basis of this review. This derivation should be useful in formulating novel computational methods for predicting binding affinities. It also permits several important points to be established. For example, it is found that the double-annihilation method of computing binding energy does not yield the standard free energy of binding, but can be modified to yield this quantity. The derivation also makes it possible to define clearly the changes in translational, rotational, configurational, and solvent entropy upon binding. It is argued that molecular mass has a negligible effect upon the standard free energy of binding for biomolecular systems, and that the cratic entropy defined by Gurney is not a useful concept. In addition, the use of continuum models of the solvent in binding calculations is reviewed, and a formalism is presented for incorporating a limited number of solvent molecules explicitly.
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            Calculation of protein-ligand binding affinities.

            Accurate methods of computing the affinity of a small molecule with a protein are needed to speed the discovery of new medications and biological probes. This paper reviews physics-based models of binding, beginning with a summary of the changes in potential energy, solvation energy, and configurational entropy that influence affinity, and a theoretical overview to frame the discussion of specific computational approaches. Important advances are reported in modeling protein-ligand energetics, such as the incorporation of electronic polarization and the use of quantum mechanical methods. Recent calculations suggest that changes in configurational entropy strongly oppose binding and must be included if accurate affinities are to be obtained. The linear interaction energy (LIE) and molecular mechanics Poisson-Boltzmann surface area (MM-PBSA) methods are analyzed, as are free energy pathway methods, which show promise and may be ready for more extensive testing. Ultimately, major improvements in modeling accuracy will likely require advances on multiple fronts, as well as continued validation against experiment.
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              Protein activity regulation by conformational entropy.

              How the interplay between protein structure and internal dynamics regulates protein function is poorly understood. Often, ligand binding, post-translational modifications and mutations modify protein activity in a manner that is not possible to rationalize solely on the basis of structural data. It is likely that changes in the internal motions of proteins have a major role in regulating protein activity, but the nature of their contributions remains elusive, especially in quantitative terms. Here we show that changes in conformational entropy can determine whether protein-ligand interactions will occur, even among protein complexes with identical binding interfaces. We have used NMR spectroscopy to determine the changes in structure and internal dynamics that are elicited by the binding of DNA to several variants of the catabolite activator protein (CAP) that differentially populate the inactive and active DNA-binding domain states. We found that the CAP variants have markedly different affinities for DNA, despite the CAP−DNA-binding interfaces being essentially identical in the various complexes. Combined with thermodynamic data, the results show that conformational entropy changes can inhibit the binding of CAP variants that are structurally poised for optimal DNA binding or can stimulate the binding activity of CAP variants that only transiently populate the DNA-binding-domain active state. Collectively, the data show how changes in fast internal dynamics (conformational entropy) and slow internal dynamics (energetically excited conformational states) can regulate binding activity in a way that cannot be predicted on the basis of the protein's ground-state structure.
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                Author and article information

                Journal
                The Journal of Chemical Physics
                The Journal of Chemical Physics
                AIP Publishing
                0021-9606
                1089-7690
                January 07 2017
                January 07 2017
                : 146
                : 1
                : 014105
                Article
                10.1063/1.4973349
                3c326e46-a17a-477e-9a1c-88654202b3a5
                © 2017
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