This paper describes a general method to calculate the pKas of ionizable groups in proteins. Electrostatic calculations are carried out using the finite difference Poisson-Boltzmann (FDPB) method. A formal treatment of the calculation of pKas within the framework of the FDPB method is presented. The major change with respect to previous work is the specific incorporation of the complete charge distribution of both the neutral and charged forms of each ionizable group into the formalism. This is extremely important for the treatment of salt bridges. A hybrid statistical mechanical/Tanford-Roxby method, which is found to be significantly faster than previous treatments, is also introduced. This simplifies the problem of summing over the large number of possible ionization states for a complex polyion. Applications to BPTI and serine proteases suggest that the calculations can be quite reliable. However, the necessity of including bound waters in the treatment of the Asp-70... His-31 salt bridge in T4 lysozyme and experience with other proteins suggest that additional factors ultimately need to be considered in a comprehensive treatment of pKas in proteins.

The site on the HIV-1 gp120 glycoprotein that binds the CD4 receptor is recognized by broadly reactive antibodies, several of which neutralize over 90% of HIV-1 strains. To understand how antibodies achieve such neutralization, we isolated CD4-binding-site (CD4bs) antibodies and analyzed 16 co-crystal structures –8 determined here– of CD4bs antibodies from 14 donors. The 16 antibodies segregated by recognition mode and developmental ontogeny into two types: CDR H3-dominated and VH-gene-restricted. Both could achieve greater than 80% neutralization breadth, and both could develop in the same donor. Although paratope chemistries differed, all 16 gp120-CD4bs antibody complexes showed geometric similarity, with antibody-neutralization breadth correlating with antibody-angle of approach relative to the most effective antibody of each type. The repertoire for effective recognition of the CD4 supersite thus comprises antibodies with distinct paratopes arrayed about two optimal geometric orientations, one achieved by CDR H3 ontogenies and the other achieved by VH-gene-restricted ontogenies.

A theoretical approach to the treatment of solute-solvent interactions is described. The solute is described as a low dielectric cavity immersed in a dielectric continuum. However, the cavity is not assigned a simple geometric form but rather is determined from the van der Waals envelope of the molecule. Real and partial charges are placed on atomic nuclei as in any molecular mechanics force field. Dielectric and ionic strength effects are obtained through numerical solutions to the Poisson-Boltzmann equation, which has proved to be remarkably accurate for a wide range of applications. Nonpolar effects are treated by applying the concept of interfacial free energy at the molecular level. Applications to the calculation of solvation free energies, reaction rates, pAfa's, and binding energies are described. A separate section is devoted to a discussion of the free energy balance in protein folding.* To whom reprint requests should be addressed.

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Natural antibodies are frequently elicited to recognize diverse protein surfaces, where the sequence features of the epitopes are frequently indistinguishable from those of nonepitope protein surfaces. It is not clearly understood how the paratopes are able to recognize sequence-wise featureless epitopes and how a natural antibody repertoire with limited variants can recognize seemingly unlimited protein antigens foreign to the host immune system. In this work, computational methods were used to predict the functional paratopes with the 3D antibody variable domain structure as input. The predicted functional paratopes were reasonably validated by the hot spot residues known from experimental alanine scanning measurements. The functional paratope (hot spot) predictions on a set of 111 antibody-antigen complex structures indicate that aromatic, mostly tyrosyl, side chains constitute the major part of the predicted functional paratopes, with short-chain hydrophilic residues forming the minor portion of the predicted functional paratopes. These aromatic side chains interact mostly with the epitope main chain atoms and side-chain carbons. The functional paratopes are surrounded by favorable polar atomistic contacts in the structural paratope-epitope interfaces; more that 80% these polar contacts are electrostatically favorable and about 40% of these polar contacts form direct hydrogen bonds across the interfaces. These results indicate that a limited repertoire of antibodies bearing paratopes with diverse structural contours enriched with aromatic side chains among short-chain hydrophilic residues can recognize all sorts of protein surfaces, because the determinants for antibody recognition are common physicochemical features ubiquitously distributed over all protein surfaces.protein antigenic site | interface hot spot | paratope prediction | epitope prediction | functional epitope I t is incompletely understood as to how functional antibodies can almost always be elicited against unlimited possibilities of protein antigens from a limited repertoire of antibodies. Antibodies provide protection against foreign protein antigens by recognizing the antigen proteins with exquisite specificity and remarkable affinity, but the principles underlying the antibody affinity and specificity remain elusive. Consequently, current antibody discoveries are by and large limited by the uncontrollable animal immune systems (1) or by the recombinant antibody libraries with relatively infinitesimal coverage of the vast combinatorial sequence space in antibody-antigen interaction interfaces (2). In developing the efficacy of a therapeutic antibody, optimizing the affinity and specificity of the antibody-antigen interaction mostly relies on selecting and screening from a large pool of random candidates. As antibodies are becoming the most prominent class of protein therapeutics (3), a better understanding of the principles governing antibody affinity and specificity will facilitate in understanding humoral immunity and in developing novel ...