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The role of electrostatic interactions for cytochrome c oxidase function.

In recent years, the enormous increase in high-resolution three-dimensional structures of proteins together with the development of powerful theoretical techniques have provided the basis for a more detailed examination of the role of electrostatics in determining the midpoint potentials of redox-active metal centers and in influencing the protonation behavior of titratable groups in proteins. Based on the coordinates of the Paracoccus denitrificans cytochrome c oxidase, we have determined the electrostatic potential in and around the protein, calculated the titration curves for all ionizable residues in the protein, and analyzed the response of the protein environment to redox changes at the metal centers. The results of this study provide insight into how charged groups can be stabilized within a low-dielectric environment and how the range of their electrostatic effects can be modulated by the protein. A cluster of 18 titratable groups around the heme a3-CuB binuclear center, including a hydroxide ion bound to the copper, was identified that accounts for most of the proton uptake associated with redox changes at the binuclear site. Predicted changes in net protonation were in reasonable agreement with experimentally determined values. The relevance of these findings in the light of possible mechanisms of redox-coupled proton movement is discussed.

Electron Transport↗

Preparation and characterization of nanofibers containing amorphous drug dispersions generated by electrostatic spinning.

PURPOSE: We assessed the application of water-soluble polymer-based nanofibers prepared by electrostatic spinning as a means of altering the dissolution rate of the poorly water-soluble drug, itraconazole. METHODS: Organic solvent-based solutions of itraconazole/HPMC mixtures were electrostatically spun at 16 and 24 kV. The formed nanofibers were collected as a non-woven fabric. The samples were analyzed by scanning electron microscopy. differential scanning calorimetry, and dissolution rate. RESULTS: Scanning electron microscopy showed fiber diameters of 1-4 microm and 300-500 nm depending on the applied voltage. Differential scanning calorimetry measurements found that the melting endotherm for itraconazole was not present, suggesting the formation of an amorphous solid dispersion or solution. Dissolution studies assessed several presentations including direct addition of the non-woven fabrics to the dissolution vessels, folding weighed samples of the materials into hard gelatin capsules and placing folded material into a sinker. Controls included a physical mixture as well as solvent cast and melt extruded samples. Electrospun samples dissolved completely over time with the rate of dissolution depending on the formulation presentation and drug to polymer ratio. The physical mixture did not appreciably dissolve in these conditions. CONCLUSIONS: The application of electrostatic spinning to pharmaceutical applications resulted in dosage forms with useful and controllable dissolution properties.

Calorimetry, Differential Scanning↗

A study of local electrostatic filtration and main pre-filtration on airborne and surface dust levels in air-conditioned office premises.

The impact of electrostatic precipitation as a useful form of particulate filtration in the breathing zone is investigated in an intervention study in an air-conditioned commercial office in central London. Surface dust deposition and airborne dust levels are measured in the open plan zones of two floors--a control floor and a floor where the intervention is effected. The intervention consists of a sequence of weekly scenarios where the main pre-filters of the air-handling unit are switched between new and old filters, and where the electrostatic filters, located as uniformly as practicable on the open plan areas, are switched on or off. This 2 x 2 set of interventions is repeated over 4 cycles. It was found that the breathing zone filtration (BZF) by electrostatic precipitators reduces airborne dust significantly and appears to be more efficient in reducing smaller sized particles. No significant effect of BZF filters in reducing surface dust deposition was detected.

Air Conditioning↗

Electrostatic orientation during electron transfer between flavodoxin and cytochrome c.

Various studies have shown that reaction rates between reversibly binding electron transfer proteins depend strongly on solution ionic strength. These observations suggest that intermolecular electrostatic interactions are important in facilitating the formation of a productive reaction complex. A recently examined system involves the reduction of vertebrate cytochrome c by bacterial flavodoxin. Although this is a nonphysiological reaction, it proceeds with rates typical for natural partners and is similarly inhibited at high ionic strengths. Here we describe computational studies which examine the role of electrostatics in the formation of a putative reaction complex between flavodoxin and cytochrome c. The results suggest that electrostatic interactions preorient the molecules before they make physical contact, facilitating the formation of an optimal reaction complex.

Chemical Phenomena↗

Calculation of electrostatic potentials in an enzyme active site.

To be able to calculate the contributions of individual amino acids to the electrostatic field of a protein would be of considerable value in designing proteins of enhanced or altered function and stability. Recent studies on the serine protease subtilisin provide direct measurements of the electrostatic potential in the active site of the enzyme produced by two charged amino acids. We have used these results to test a recently developed method for the calculation of electrostatic interactions between two specific sites on a protein. The extent of agreement between the theoretical and experimental results suggests that the continuum solvent model used in the calculations reproduces the essential features of the interaction.

Binding Sites↗

Barstar is electrostatically optimized for tight binding to barnase.

We used a novel charge optimization technique to study the small ribonuclease barnase and to analyze its interaction with a natural tight binding inhibitor, the protein barstar. The approach uses a continuum model to explicitly determine the charge distributions that lead to the most favorable electrostatic contribution to binding when competing desolvation and interaction effects are included. Given its backbone fold, barstar is electrostatically optimized for tight binding to barnase when compared with mutants where residues have been substituted with one of the 20 common amino acids. Natural proteins thus appear to use optimization of electrostatic interactions as one strategy for achieving tight binding.

Bacterial Proteins↗

Rapid, electrostatically assisted association of proteins.

The rapid association of barnase and its intracellular inhibitor barstar has been analysed from the effects of mutagenesis and electrostatic screening. A basal association rate constant of 10(5) M(-1) s(-1) is increased to over 5 x 10(9) M(-1) s(-1) by electrostatic forces. The association between the oppositely charged proteins proceeds through the rate-determining formation of an early, weakly specific complex, which is dominated by long-range electrostatic interactions, followed by precise docking to form the high affinity complex. This mode of binding is likely to be used widely in nature to increase association rate constants between molecules and its principles may be used for protein design.

Bacterial Proteins↗

The electrostatic character of the ribosomal surface enables extraordinarily rapid target location by ribotoxins.

Alpha-sarcin ribotoxins comprise a unique family of ribonucleases that cripple the ribosome by catalyzing endoribonucleolytic cleavage of ribosomal RNA at a specific location in the sarcin/ricin loop (SRL). The SRL structure alone is cleaved site-specifically by the ribotoxin, but the ribosomal context enhances the reaction rate by several orders of magnitude. We show that, for the alpha-sarcin-like ribotoxin restrictocin, this catalytic advantage arises from favorable electrostatic interactions with the ribosome. Restrictocin binds at many sites on the ribosomal surface and under certain conditions cleaves the SRL with a second-order rate constant of 1.7 x 10(10) M(-1) s(-1), a value that matches the predicted frequency of random restrictocin-ribosome encounters. The results suggest a mechanism of target location whereby restrictocin encounters ribosomes randomly and diffuses within the ribosomal electrostatic field to the SRL. These studies show a role for electrostatics in protein-ribosome recognition.

Animals↗

Controlling the rate of shuttling motions in [2]rotaxanes by electrostatic interactions: a cation as solvent-tunable brake.

A series of rotaxanes, with phenolic axle centerpieces and tetralactam macrocycles as the wheels, has been prepared in good yields. The threaded rotaxane structure is confirmed in the gas phase by tandem mass spectrometric experiments through a detailed fragmentation pattern analysis, in solution by NMR spectroscopy, and in the solid state through X-ray crystallography. A close inspection of the 1H,1H NOESY and 1H,1H ROESY NMR data reveals the wheel to travel along the axle between two degenerate diamide "stations" close to the two stoppers. By deprotonation of a phenolic OH group in the axle centerpiece with Schwesinger's P1 base, surprisingly no additional shuttling station is generated at the axle center, although the wheel could form rather strong hydrogen bonds with the phenolate. Instead, the wheel continues to travel between the two diamide stations. Experimental data from 1H,1H NOESY spectra, together with theoretical calculations, show that strong electrostatic interactions between the phenolate moiety and the P1 cation displace the wheel from the "phenolate station". The cation acts as a "brake" for the shuttling movement. Instead of suppressing the shuttling motion completely, as observed in other rotaxanes, our rotaxane is the first system in which electrostatic interactions modulate the speed of the mechanical motion between a fast and a slow motion state as a response to a reversible external stimulus. By tuning these electrostatic interactions through solvent effects, the rate of movement can be influenced significantly, when for example different amounts of DMSO are added to dichloromethane. Besides the shuttling motion, circumrotation of the wheel around the axle is observed and analyzed by variable temperature NMR spectroscopy. Force field and AM1 calculations are in good agreement with the experimental findings.

Journal Article↗

Electrostatic interactions of domain III stabilize the inactive conformation of mu-calpain.

The ubiquitous mu- and m-calpains are Ca2+-dependent cysteine proteases. They are activated via rearrangement of the catalytic domain II induced by cooperative binding of Ca2+ to several sites of the molecule. Based on the crystallographic structures, a cluster of acidic residues in domain III, the acidic loop, has been proposed to function as part of an electrostatic switch in the activation process. Experimental support for this hypothesis was obtained by site-directed mutagenesis of recombinant human mu-calpain expressed with the baculovirus system in insect cells. Replacing the acidic residues of the loop individually with alanine resulted in an up to 7-fold reduction of the half-maximal Ca2+ concentration required for conformational changes (probed with 2-p-toluidinylnapthalene-6-sulphonate fluorescence) and for enzymic activity. Along with structural information, the contribution of individual acidic residues to the Ca2+ requirement for activation revealed that interactions of the acidic loop with basic residues in the catalytic subdomain IIb and in the pre-transducer region of domain III stabilize the structure of inactive micro-calpain. Disruption of these electrostatic interactions makes the molecule more flexible and increases its Ca2+ sensitivity. It is proposed that the acidic loop and the opposing basic loop of domain III constitute a double-headed electrostatic switch controlling the assembly of the catalytic domain.

Amino Acid Sequence↗

The electrostatic fields in the active-site clefts of actinidin and papain.

The active sites of actinidin (EC 3.4.22.14) and papain (EC 3.4.22.2) display different reactivity characteristics to probes targeted at the active-site cysteine residue despite the close structural similarity of their active sites. The calculated electrostatic fields in the active-site clefts of actinidin and papain differ significantly and may explain the reactivity characteristics of these enzymes. Calculation of electrostatic potential also focuses attention on the electrostatic properties that govern formation of the active-site thiolate-imidazolium ion-pair. These calculations will guide the modification of the pH-activity profile of the cysteine proteinases by site-directed mutagenesis.

Binding Sites↗

Studies of a magnetically focused electrostatic mirror. II. Aberration corrections

A magnetically focused electrostatic mirror is shown to be able to correct the spherical and chromatic aberrations of a probe forming system simultaneously. The probe forming system comprises a uniform magnetic lens and a uniform electrostatic mirror. Previous theoretical investigations showed that the spherical and chromatic aberration coefficients of these two components are the same values but with opposite sign, whose combination will therefore be free from aberrations. The experimental arrangement used a solenoid to produce a uniform magnetic field, and a series of plate electrodes to produce a uniform electrostatic field. These fields are shown to satisfy the experimental requirements. By deliberately changing the extraction voltage to defocus the electron beam, the author is able to observe correction of chromatic aberration by one order of magnitude. By deliberately changing the lens field and the mirror field, the author is able to observe the reduction of the asymmetry caused by the spherical aberration, which the author believes also indicates correction by one order of magnitude.

Journal Article↗

Role of the electrostatic loop of Cu,Zn superoxide dismutase in the copper uptake process.

Cu,Zn superoxide dismutases are characterized by the presence of four highly conserved charged residues (Lys120, Glu/Asp130, Glu131 and Lys134), which are placed at the edge of the active site channel and have been shown to be individually involved in the electrostatic attraction of the substrate toward the catalytically active copper ion. By genetic engineering we mutated these four residues into neutrally charged ones (Leu120, Gln130, Gln131, Thr134). The effects of these mutations on the rate of superoxide dismutation were not dramatic. In fact, at two different pH and ionic strength values, the mutant enzyme had a catalytic constant even higher with respect to the wild-type protein, showing that electrostatic interaction at these surface sites is not essential for high catalytic efficiency of the enzyme. The mutant and the wild-type enzyme showed the same degree of inhibition by CN(-), and both were not affected by I(-), showing that mutations did not alter the sensitivity of the enzyme to anions. On the other hand, reconstitution of active enzyme from either the wild-type or mutant copper-free enzymes with a copper(I)-glutathione [Cu(I)-GSH] complex showed that metal uptake by the mutant was much slower than by the wild-type enzyme. The demonstration that the 'electrostatic loop' is apparently conserved to assure optimal copper uptake by the enzyme, rather than fast dismutation, may provide further support to the idea that Cu,Zn superoxide dismutase is a bifunctional protein, acting in cellular defense against oxidative stress both as a copper buffer and as a superoxide radical scavenger.

Binding Sites↗

Effects of electrostatic potentials generated on the surface of the skin by wearing synthetic and semisynthetic fabrics on physical condition, mood and behavior: role of acupuncture points.

Synthetic and semisynthetic fabrics generate electrostatic potentials on the surface of the skin. The author suggests that the effects of electrostatic potentials on physical and psychological condition are mediated by acupuncture points. The author further suggests that electrostatic charges on the surface of the skin may affect virtually all physiological functions, mood, and behavior.

Acupuncture Points↗

Towards an accurate representation of electrostatics in classical force fields: efficient implementation of multipolar interactions in biomolecular simulations.

The accurate simulation of biologically active macromolecules faces serious limitations that originate in the treatment of electrostatics in the empirical force fields. The current use of "partial charges" is a significant source of errors, since these vary widely with different conformations. By contrast, the molecular electrostatic potential (MEP) obtained through the use of a distributed multipole moment description, has been shown to converge to the quantum MEP outside the van der Waals surface, when higher order multipoles are used. However, in spite of the considerable improvement to the representation of the electronic cloud, higher order multipoles are not part of current classical biomolecular force fields due to the excessive computational cost. In this paper we present an efficient formalism for the treatment of higher order multipoles in Cartesian tensor formalism. The Ewald "direct sum" is evaluated through a McMurchie-Davidson formalism [L. McMurchie and E. Davidson, J. Comput. Phys. 26, 218 (1978)]. The "reciprocal sum" has been implemented in three different ways: using an Ewald scheme, a particle mesh Ewald (PME) method, and a multigrid-based approach. We find that even though the use of the McMurchie-Davidson formalism considerably reduces the cost of the calculation with respect to the standard matrix implementation of multipole interactions, the calculation in direct space remains expensive. When most of the calculation is moved to reciprocal space via the PME method, the cost of a calculation where all multipolar interactions (up to hexadecapole-hexadecapole) are included is only about 8.5 times more expensive than a regular AMBER 7 [D. A. Pearlman et al., Comput. Phys. Commun. 91, 1 (1995)] implementation with only charge-charge interactions. The multigrid implementation is slower but shows very promising results for parallelization. It provides a natural way to interface with continuous, Gaussian-based electrostatics in the future. It is hoped that this new formalism will facilitate the systematic implementation of higher order multipoles in classical biomolecular force fields.

Algorithms↗

Ab initio calculation of electrostatic multipoles with Wannier functions for large-scale biomolecular simulations.

It has long been known that accurate electrostatics is a key issue for improving current force fields for large-scale biomolecular simulations. Typically, this calls for an improved and more accurate description of the molecular electrostatic potential, which eliminates the artifacts associated with current point charge-based descriptions. In turn, this involves the partitioning of the extended molecular charge distribution, so that charges and multipole moments can be assigned to different atoms. As an alternate to current approaches, we have investigated a charge partitioning scheme that is based on the maximally localized Wannier functions. This has the advantage of partitioning the charge, and placing it around the molecule in a chemically meaningful manner. Moreover, higher order multipoles may all be calculated without any undue numerical difficulties. Tests on isolated molecules and water dimers, show that the molecular electrostatic potentials generated by such a Wannier-function based approach are in excellent agreement with the density functional-based calculations.

Algorithms↗

Long-range electrostatic interactions in hybrid quantum and molecular mechanical dynamics using a lattice summation approach.

A method based on a lattice summation technique for treating long-range electrostatic interactions in hybrid quantum mechanics/molecular mechanics simulations is presented in this article. The quantum subsystem is studied at the semiempirical level, whereas the solvent is described by a two-body potential of molecular mechanics. Molecular dynamics simulations of a (quantum) chloride ion in (classical) water have been performed to test this technique. It is observed that the application of the lattice summations to solvent-solvent interactions as well as on solute-solvent ones has a significant effect on solvation energy and diffusion coefficient. Moreover, two schemes for the computation of the long-range contribution to the electrostatic interaction energy are investigated. The first one replaces the exact charge distribution of the quantum solute by a Mulliken charge distribution. The long-range electrostatic interactions are then calculated for this charge distribution that interacts with the solvent molecule charges. The second one is more accurate and involves a modified Fock operator containing long-range electron-charge interactions. It is shown here that both schemes lead to similar results, the method using Mulliken charges for the evaluation of long-range interactions being, however, much more computationally efficient.

Journal Article↗

Combining the lattice-sum and reaction-field approaches for evaluating long-range electrostatic interactions in molecular simulations.

A new scheme, the lattice-sum-emulated reaction-field (LSERF) method, is presented that combines the lattice-sum (LS) and reaction-field (RF) approaches for evaluating electrostatic interactions in molecular simulations. More precisely, the LSERF scheme emulates a RF calculation (based on an atomic cutoff) via the LS machinery. This is achieved by changing the form of the electrostatic interactions in a standard LS calculation (Coulombic) to the form corresponding to RF electrostatics (Coulombic plus quadratic reaction-field correction term, truncated at the cutoff distance). It is shown (both analytically and numerically) that in the limit of infinite reciprocal-space accuracy, (i) the LSERF scheme with a finite reaction-field cutoff and a given reaction-field permittivity is identical to the RF scheme with the same parameters (and an atomic cutoff), and (ii) the LSERF scheme is identical to the LS scheme in the limit of an infinite reaction-field cutoff, irrespective of the reaction-field permittivity. This new scheme offers two key advantages: (i) from a conceptual point of view, it shows that there is a continuity between the RF and LS schemes and unifies them into a common framework; (ii) from a practical point of view, it allows us to perform RF calculations with arbitrarily large reaction-field cutoff distances for the same computational costs as a corresponding LS calculation. The optimal choice for the cutoff will be the one that achieves the best compromise between artifacts arising from the dielectric heterogeneity of the system (short cutoff) and its artificial periodicity (long cutoff). The implementation of the LSERF method is extremely easy, requiring only very limited modifications of any standard LS code. For practical applications to biomolecular systems, the use of the LSERF scheme with large reaction-field cutoff distances is expected to represent a significant improvement over the current RF simulations involving comparatively much shorter cutoffs.

Journal Article↗