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Modelling protein docking using shape complementarity, electrostatics and biochemical information.

A protein docking study was performed for two classes of biomolecular complexes: six enzyme/inhibitor and four antibody/antigen. Biomolecular complexes for which crystal structures of both the complexed and uncomplexed proteins are available were used for eight of the ten test systems. Our docking experiments consist of a global search of translational and rotational space followed by refinement of the best predictions. Potential complexes are scored on the basis of shape complementarity and favourable electrostatic interactions using Fourier correlation theory. Since proteins undergo conformational changes upon binding, the scoring function must be sufficiently soft to dock unbound structures successfully. Some degree of surface overlap is tolerated to account for side-chain flexibility. Similarly for electrostatics, the interaction of the dispersed point charges of one protein with the Coulombic field of the other is measured rather than precise atomic interactions. We tested our docking protocol using the native rather than the complexed forms of the proteins to address the more scientifically interesting problem of predictive docking. In all but one of our test cases, correctly docked geometries (interface Calpha RMS deviation </=2 A from the experimental structure) are found during a global search of translational and rotational space in a list that was always less than 250 complexes and often less than 30. Varying degrees of biochemical information are still necessary to remove most of the incorrectly docked complexes.

Algorithms↗

Thermodynamics of DNA binding and condensation: isothermal titration calorimetry and electrostatic mechanism.

The thermodynamics of binding of the trivalent cations cobalt hexammine and spermidine to plasmid DNA was studied by isothermal titration calorimetry. Two stages were observed in the course of titration, the first attributed to cation binding and the second to DNA condensation. A standard calorimetric data analysis was extended by applying an electrostatic binding model, which accounted for most of the observed data. Both the binding and condensation reactions were entropically driven (TDeltaS approximately +10 kcal/mol cation) and enthalpically opposed (DeltaH approximately +1 kcal/mol cation). As predicted from their relative sizes, the binding constants of the cations were indistinguishable, but cobalt hexammine had a much greater DNA condensing capacity because it is more compact than spermidine. The dependence of both the free energy of cobalt hexammine binding and the critical cobalt hexammine concentration for DNA condensation on temperature and monovalent cation concentration followed the electrostatic model quite precisely. The heat capacity changes of both stages were positive, perhaps reflecting both the temperature dependence of the dielectric constant of water and the burial of polar surfaces. DNA condensation occurred when about 67 % of the DNA phosphate charge was neutralized by cobalt hexammine and 87 % by spermidine. During condensation, the remaining DNA charge was neutralized.

Binding, Competitive↗

pH-dependent interactions and the stability and folding kinetics of the N-terminal domain of L9. Electrostatic interactions are only weakly formed in the transition state for folding.

The role of electrostatic interactions in the stability and the folding of the N-terminal domain of the ribosomal protein L9 (NTL9) was investigated by determining the effects of varying the pH conditions. Urea denaturations and thermal unfolding experiments were used to measure the free energy of folding, DeltaG degrees, at 18 different pH values, ranging from pH 1.1 to pH 10.5. Folding rates were measured at 19 pH values between pH 2.1 and pH 9.5, and unfolding rates were determined at 15 pH values in this range using stopped-flow fluorescence experiments. The protein is maximally stable between pH 5.5 and 7.5 with a value of DeltaG degrees =4.45 kcal mol(-1). The folding rate reaches a maximum at pH 5.5, however the change in folding rates with pH is relatively modest. Over the pH range of 2.1 to 5.5 there is a small increase in folding rates, ln (k(f)) changes from 5.1 to 6.8. However, the change in stability is more dramatic, with a difference of 2.6 kcal mol(-1) between pH 2.0 and pH 5.4. The change in stability is largely due to the smaller barrier for unfolding at low pH values. The natural log of the unfolding rates varies by approximately four units between pH 2.1 and pH 5.5. The stability of the protein decreases above pH 7.5 and again the change is largely due to changes in the unfolding rate. ln (k(f)) varies by less than one unit between pH 5.5 and pH 9.5 while DeltaG degrees decreases by 2.4 kcal mol(-1) over the range of pH 5. 4 to pH 10.0, which corresponds to a change in ln K(eq) of 4.0. These studies show that pH-dependent interactions contribute significantly to the overall stability of the protein but have only a small effect upon the folding kinetics, indicating that electrostatic interactions are weakly formed in the transition state for folding.

Circular Dichroism↗

Long-range electrostatic interactions influence the orientation of Fos-Jun binding at AP-1 sites.

Heterodimeric transcription regulatory proteins that bind palindromic DNA sequences can potentially bind their recognition sites in two opposite orientations. The orientation of transcription factor binding can control transcriptional activity by altering interactions with proteins that bind to adjacent regulatory elements. Fos-Jun heterodimers bind to AP-1 sites with different flanking sequences in opposite orientations. A gel-based fluorescence resonance energy transfer assay, gelFRET, was used to define the mechanism whereby amino acid residues and nucleotide base-pairs outside the Fos-Jun-AP-1 contact interface determine the orientation of heterodimer binding. Exchange of three amino acid residues adjacent to the basic DNA contact regions between Fos and Jun reversed the binding orientation. The effects of these amino acid residues on the orientation of heterodimer binding depended on base-pairs flanking the core AP-1 recognition sequence. Single amino acid and base-pair substitutions had parallel effects on DNA bending by Fos-Jun-AP-1 complexes and on heterodimer orientation. The binding orientation exhibited a close correspondence with both the difference in bending propensities of opposite sides of the AP-1 site as well as the difference in bending potentials of the Fos and Jun subunits of the heterodimer. The influence of flanking DNA sequences on heterodimer orientation was attenuated in the presence of high concentrations of multivalent cations. Base substitutions up to one helical turn from the center of the AP-1 site affected the binding orientation. Modification of flanking base-pairs with positively or negatively charged functional groups had opposite effects on the orientation of heterodimer binding. These changes in DNA charge had converse effects on the orientation preferences of heterodimers in which charged amino acid residues adjacent to the basic regions were exchanged between Fos and Jun. These results indicate that the orientation of heterodimer binding is determined primarily by minimization of the electrostatic free energy of the Fos-Jun-AP-1 complex. Consequently, long-range electrostatic interactions influence the architecture of nucleoprotein complexes.

Amino Acid Sequence↗

Continuum electrostatic methods applied to pH-dependent properties of antibody-antigen association.

Protein association events are a critical component of the functioning of biological systems. Antibody/antigen association, which involves extraordinarily specific interactions, has been a paradigm for the study of structural factors and intermolecular forces controlling protein-protein association. As new experimental approaches to the study of antibody/antigen affinity have become routine, and as more structures of complexes of antibodies and their antigens have become available, it has become possible to use computational approaches to study these interactions. Electrostatic interactions are known to play an important role in protein complex formation. In this review, we focus on the use of continuum electrostatic methods to compute pH-dependent properties of proteins and discuss the use of these methods in the study of antibody/antigen complexes.

Animals↗

Electrostatic interactions drive scaffolding/coat protein binding and procapsid maturation in bacteriophage P22.

The first step in assembly of the bacteriophage P22 is the formation of a T=7 icosahedral "procapsid," the major components of which are the coat protein and an inner core composed of the scaffolding protein. Although not present in the mature virion, the scaffolding protein is required for procapsid assembly. Eleven amino-acid residues at the extreme carboxyl terminus of the scaffolding protein are required for binding to the coat protein, and upon deletion of these residues, approximately 20 additional residues become disordered. Sequence analysis and NMR data suggest that the 30 residues at the carboxyl terminus form a helix-loop-helix motif which is stabilized by interhelical hydrophobic interactions. This "coat protein recognition domain" presents an unusually high number of positively charged residues on one face, suggesting that electrostatic interactions between this domain and the coat protein may contribute to recognition and binding. We report here that high ionic strength (1 M NaCl) completely inhibited procapsid assembly in vitro. When scaffolding protein was added to empty procapsid "shells" of coat protein, 1 M NaCl partially inhibited the binding of scaffolding protein to the shells. This suggests that the positively charged coat protein recognition domain at the carboxyl terminus of the scaffolding protein binds to a negatively charged region on the coat protein. During DNA packaging, the scaffolding protein exits the procapsid; scaffolding protein exit is followed by the expansion of the procapsid into a mature capsid. Procapsid shells can be induced to undergo a similar expansion reaction in vitro by heating (45-70 degreesC); this process was also inhibited by 1 M NaCl. These results are consistent with a model in which negatively charged scaffold protein-binding domains in the coat proteins move apart during procapsid expansion; this relief of electrostatic repulsion could provide a driving force for expansion and subsequent maturation. High-salt concentrations would screen this repulsion, while packaging of DNA (a polyanion) in vivo may increase the instability of the procapsid enough to trigger its expansion.

Bacteriophage P22↗

Electrostatic interactions in gramicidin channels. Three-dielectric model.

A model based on the solution of the electrostatic potential for a geometry of three dielectric regions associated with a gramicidin A channel (GA) is presented. The model includes a cylindrical dielectric layer to represent the peptide backbone and dipole rings to account for dipolar side chains. Image potential and dipolar contributions for different orientations and positions along the channel are analyzed. The conductance of GA and two analogues obtained by substituting the amino acid at position 1 are studied. The numerical simulation reproduces experimental results (Barrett et al. 1986, Biophys J 49, 673-686) and supports the idea that electrostatic dipole-ion interactions are of primary importance in gramicidin channel function.

Amino Acid Sequence↗

Modeling lipophilicity from the distribution of electrostatic potential on a molecular surface.

Molecular lipophilicity L is represented as a function of four surface electrostatic potential descriptors: L = f(B+F, B-F, B+R, B-R). Each B descriptor is computed from the products of elements of molecular surface area, delta(si), and the molecular electrostatic potential (MEP), V(ri), at the center of an area element: B = sigma(i) delta(si) V(r(i)). Octanol-water partition coefficients (P(ow)) are correlated with these four surface-MEP descriptors: log P(ow) = c0 + c1B+F + c2B-F + c3B+R + c4B-R. Good correlations are obtained for homologous series of aliphatic alcohols, amines and acids, as well as for a set of aromatic compounds with various functional groups. Within this approach, we find that the molecular fragment contributions of surface-MEP descriptions to log P are approximately additive. We have computed the values for the following fragments: -CH2-, -CH3, _COOH, -OH and -NH2. These contributions can be used to estimate the molecular lipophilicity and partition coefficients of new compounds, without additional quantum-mechanical calculations. The proposed approach provides a reasonably accurate tool that can be useful in quantitative structure-activity relations for computer-aided rational drug design. More importantly, the correlation model is conceptually simpler than previous work in the literature and can be improved systematically.

Alcohols↗

Direct and rapid analysis of ambient air and exhaled air via electrostatic precipitation of aerosols in an atomizer furnace and Zeeman spectrometry.

Techniques that allow the elements present in the air to be determined in a simple and rapid manner are very attractive. Direct aerosol sampling techniques avoid the need to pretreat the filter via wet digestion in order to remove any sources of contamination, and they decrease the precipitation time significantly. Analyzers based on this technique can also determine the concentrations of elements in the air automatically in situ. This paper is concerned with the development of a novel analytical system that is based on electrostatically precipitating aerosols from the air into a graphite furnace. The equipment includes a Zeeman spectrometer with high frequency modulation polarization (MGA-915), and an electrostatic precipitation system incorporated into the analyzer. The high sensitivity of the system developed here means that it can be used to determine element concentrations in the air exhaled by humans, as well as those in ambient air.

Aerosols↗

Comparative redox and pKa calculations on cytochrome c3 from several Desulfovibrio species using continuum electrostatic methods.

A comparative study of the pH-dependent redox mechanisms of several members of the cytochrome c3 family has been carried out. In a previous work, the molecular determinants of this dependency (the so-called redox-Bohr effect) were investigated for one species using continuum electrostatic methods to find groups with a titrating range and strength of interaction compatible with a mediating role in the redox-Bohr effect. Here we clarify these aspects in the light of new and improved pKa calculations, our findings supporting the hypothesis of propionate D from heme I being the main effector in the pH-dependent modulation of the cytochrome c3 redox potentials in all the c3 molecules studied here. However, the weaker (but significant) role of other titrating groups cannot be excluded, their importance and identity changing with the particular molecule under study. We also calculate the relative redox potentials of the four heme centers among the selected members of the c3 family, using a continuum electrostatic method that takes into account both solvation and interaction effects. Comparison of the calculated values with available data for the microscopic redox potentials was undertaken, the quality of the agreement being dependent upon the choice of the dielectric constant for the protein interior. We find that high dielectric constants give best correlations, while low values result in better magnitudes for the calculated potentials. The possibility that the crystallographic calcium ion in c3 from Desulfovibrio gigas may be present in the solution structure was tested, and found to be likely.

Calcium↗

Molecular shape and electrostatics in the encoding of relevant chemical information.

We propose a molecule's chemistry can be hidden by representations of its shape and electrostatic field while retaining crucial, pharmaceutically relevant, information. Necessary, but not sufficient, to this proposition are the importance of shape and electrostatics to activity, the facility to easily represent, store and compare field properties, and knowledge of the density of possible drug-like molecules within a given radius of physical similarity. We provide methods and evidence to support the conclusion that a useful encoding is practical and propose tests for falsification.

Computer Simulation↗

Electrostatic facilitation of the reaction catalyzed by the manganese-containing and the iron-containing superoxide dismutases.

Both the iron-containing and the manganese-containing superoxide dismutases from Escherichia coli show diminished activity with increasing ionic strength, indicative of electrostatic facilitation of the catalyzed reaction. Since both enzymes bear a net negative charge at the assay pH, as does the substrate, this suggests a cationic locale in the active site region. Acetylation of the enzymes inverted their response to increasing ionic strength. It thus appears that lysine residues provide the observed electrostatic facilitation. A specific inhibition by large monovalent anions was observed with the iron-containing superoxide dismutase and was taken to indicate the presence of a cationic group, within a hydrophobic crevice, at the active site.

Acetylation↗

Electrostatic control of enzyme reactions: the mechanism of inhibition of glucose oxidase by putrescine.

The interaction of putrescine dihydrochloride with glucose oxidase is reported. At pH 7.65 glucose oxidase is strongly anionic (Z = -80). The pKa of an essential acidic group on the reduced form of the enzyme is extremely sensitive to ionic strength, as predicted by simple electrostatic theory [J. G. Voet, J. Coe, J. Epstein, V. Matossian, and T. Shipley (1981) Biochemistry 20, 7182-7185]. Putrescine dihydrochloride was found to inhibit glucose oxidase at pH 7.65 at a constant ionic strength of 0.05. The kinetics do not obey simple competitive inhibition, however. The data can best be explained by a model in which change in the electrostatic potential of the enzyme on putrescine binding changes the observed pKa of the essential acidic group. The pH dependence of putrescine inhibition supports this interpretation. At I = 0.05, 5 mM putrescine was found to change the pKa of the essential acidic group from 7.6 to 7.1. The shift in the pKa as a function of putrescine concentration at pH 7.7 and I = 0.05 also supports the model presented. The Ka for putrescine to the active form of the enzyme was calculated to be 4.2 mM.

Aspergillus niger↗

Mechanism of interaction between cytochromes P-450 RLM5 and b5: evidence for an electrostatic mechanism involving cytochrome b5 heme propionate groups.

The role of cytochrome b5 heme propionate groups in the functional interactions between cytochromes P-450 RLM5 and b5 has been investigated by comparing the capacity of RLM5 to interact with both native b5 and a b5 derivative in which the native heme was replaced with ferric protoporphyrin IX dimethyl ester (DME-b5). Both forms of b5 interacted with RLM5 causing an increase in the RLM5 spin state from 28 to 68% high-spin RLM5 at saturation, as judged using uv-visible spectrophotometry. However, DME-b5 exhibited a 7-fold weaker affinity for RLM5. The apparent dissociation constant (Kd) for the interaction between RLM5 and b5 was also shown to be a strong function of ionic strength, in a manner consistent with the involvement of electrostatic attraction in complex formation. Reconstitution of b5 into an RLM5-dependent monooxygenase system stimulated the p-nitroanisole demethylase rate about 25-fold and 7-ethoxycoumarin deethylase about 6-fold. DME-b5, however, produced only 30% of the stimulation of RLM5-dependent turnover of p-nitroanisole observed at equivalent concentrations of native b5 without a change in Km. With 7-ethoxycoumarin, turnover was 50% diminished. The diminished capacity of DME-b5 to stimulate RLM5-dependent substrate turnover was shown not to be due to impairment of electron flow between NADPH-cytochrome P-450 reductase and DME-b5, since the Km of reductase for DME-b5 is 2.5-fold lower, and the Vmax is actually increased, but rather to an impairment of some aspect of functional interaction between the DME-b5 and RLM5. The data show that complex formation between cytochrome P-450 and b5 involves electrostatic attraction mediated in part by cytochrome b5 heme propionate groups.

Animals↗

Electrostatic effects on the spectral and redox properties of Clostridium pasteurianum flavodoxin: effects of salt concentration and polylysine.

When polylysine is complexed to flavodoxin at low ionic strength, the electrostatic potential of the region which is involved in electron transfer is modified such that positively charged oxidants react more slowly with flavodoxin semiquinone, and negatively charged oxidants react more rapidly. The reaction rate of the uncharged benzoquinone molecule is unaffected. An especially strong effect (approximately 200-fold) occurs with ferricyanide. This is interpreted in terms of electrostatic control of the reaction site. Complexation also changes the conformation of the region around the FMN prosthetic group, which is reflected in the fluorescence and circular dichroism spectra of the protein.

Clostridium↗

The role of membrane surface charge in the control of photosynthetic processes and the involvement of electrostatic screening.

Calculations of changes of the integrated space charge density within the diffuse layer adjacent to a negatively charged membrane surface have been made using analytical expressions derived from the full non-linear Poisson-Boltzmann equation of the Gouy-Chapman theory. This electrostatic screening parameter has been examined for mixed electrolytes of valency type Z1+/Z1- and Z2+/Z1- and concentration ranges were chosen so as to compare with experimental data obtained with thylakoid membranes. The results of the analysis are consistent with previous arguments (Barber, J., Mills, J.D. and Love, A. (1977) FEBS Letts. 74, 174-181) that this screening parameter is involved in the control of salt induced chlorophyll fluorescence and thylakoid stacking changes. Phenomenological equations suggesting the origin of the variations in the integrated space charge density for various salt conditions are presented. Overall the integrated space charge density (sigma chi) is shown to be a more satisfactory measure of both short and long range effects associated with electrostatic screening and double layer repulsion of charged surfaces than the planar space charge density (rho chi).

Chlorophyll↗

Electrostatic interactions of 4-carboxy-2,6-dinitrophenyllysine-modified cytochromes c with physiological and non-physiological redox partners.

An analysis of the effect of electrostatic properties of 4-carboxy-2,6-dinitrophenyllysine (CDNP-lysine) cytochromes c on their reactions with strongly and weakly binding redox partners is given. For strongly binding systems (cytochrome-c oxidase, cytochrome-c reductase, sulphite oxidase and yeast cytochrome-c peroxidase) the magnitude of the dipole moments of the CDNP cytochromes c determines their relative reactivities. For weakly binding redox agents, such as hexacyanoferrate(III), cobalt(III)tris(1,10-phenanthroline), azurin and plastocyanin, the electrostatic potential at the haem edge accounts for the greater part of the relative activities. Relative rate data were obtained from the literature. It is concluded that the dipole moment of native cytochromes c may account for an approx. 50-fold increase in the efficiency of its physiological activity towards membrane-bound enzymes. A correction on a formula to describe the contribution of a molecular dipole moment to the ionic strength dependence of a bimolecular rate constant (Koppenol, W. H. (1980) Biophys. J. 29, 493-508) leads to an equation nearly identical to that obtained by Van Leeuwen et al. (Van Leeuwen, J.W., Mofers, F.J.M. and Verrman, E.C.I. (1981) Biochim. Biophys. Acta 635, 434-439).

Azurin↗

Electrostatic and redox potential effects on the rat of electron-transfer reaction of nicotinamide adenine dinucleotides with 1-substituted 5-ethylphenazines.

The effects of redox potential and electric charge on the rate of electron-transfer reaction by a two-electron process were investigated. For electron donors, beta-NADH, beta-NADPH and alpha-NADH were used; they have similar structures but different charges and different redox potentials. For electron acceptors, the following 5-ethylphenazine derivatives were used: 1-(3-carboxypropyloxy)-5-ethylphenazine, 1-(3-ethoxycarbonylpropyloxy)-5-ethylphenazine, and 1-[N-(2-aminoethyl)carbamoylpropyloxy]-5-ethylphenazine. They have similar structures and different charges. Using these donors and acceptors, the potential and the charge effects were estimated separately. In the potential effect, a linear free energy relationship was observed for the change in the redox potential of the donor with a Brønsted slope of about unity. On the other hand, the slope for the change in the potential of the acceptor was about 0.5. These results show that the potential effect due to electron donors is different from that due to electron acceptors. A linear relationship was also observed between activation free energy and electrostatic force (or potential). The redox potential effect and the electrostatic effect are independent and additive. New theory for the mechanism of electron-transfer reactions is needed to explain these results.

Electricity↗