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Electrostatics and color: massive electrostatic perturbation of chromophores by ion cluster ligands.

The SASAPOS protocol, a general reaction sequence allowing complete exchange of various neutral ligands X in organic, elementorganic, and inorganic systems by cationic ligands L+, has been applied to a variety of pentafluorophenyl-substituted dyes of the general formula C6F5-X=Y-D (X, Y = N, CH; D = donor substituted arene), yielding the corresponding polycationically substituted dyes. The perturbation of the chromophores by the massive electrostatic effects introduced via the SASAPOS method led to bathochromic shifts of the absorption maxima of up 140 nm, 7600 cm-1, respectively. A strong dependency of the specific shifts on the nature of the connecting pi linker -X=Y- (N vs CH) has been detected by UV-vis absorption spectroscopy. Additionally, the effects of resubstitution of cationic ligands L+ by OH and O- have been studied.

Journal Article↗

Electrostatics of individual single-walled carbon nanotubes investigated by electrostatic force microscopy.

We report an experimental study of static charge distribution in individual single-walled carbon nanotubes grown on a Si+115 nm SiO2 substrate. From these experiments, we conclude that charges are distributed uniformly along the nanotubes. We demonstrate that electrostatic force microscopy can accurately measure the amount of charges per unit length. We found that this amount is diameter dependent and in the range of 1 electron per nanometer for a 2.5 nm nanotube at a potential of -3.5 V.

Journal Article↗

Electrostatic forces involved in orienting Anabaena ferredoxin during binding to Anabaena ferredoxin:NADP+ reductase: site-specific mutagenesis, transient kinetic measurements, and electrostatic surface potentials.

Transient absorbance measurements following laser flash photolysis have been used to measure the rate constants for electron transfer (et) from reduced Anabaena ferredoxin (Fd) to wild-type and seven site-specific charge-reversal mutants of Anabaena ferredoxin:NADP+ reductase (FNR). These mutations have been designed to probe the importance of specific positively charged amino acid residues on the surface of the FNR molecule near the exposed edge of the FAD cofactor in the protein-protein interaction during et with Fd. The mutant proteins fall into two groups: overall, the K75E, R16E, and K72E mutants are most severely impaired in et, and the K138E, R264E, K290E, and K294E mutants are impaired to a lesser extent, although the degree of impairment varies with ionic strength. Binding constants for complex formation between the oxidized proteins and for the transient et complexes show that the severity of the alterations in et kinetics for the mutants correlate with decreased stabilities of the protein-protein complexes. Those mutated residues, which show the largest effects, are located in a region of the protein in which positive charge predominates, and charge reversals have large effects on the calculated local surface electrostatic potential. In contrast, K138, R264, K290, and K294 are located within or close to regions of intense negative potential, and therefore the introduction of additional negative charges have considerably smaller effects on the calculated surface potential. We attribute the relative changes in et kinetics and complex binding constants for these mutants to these characteristics of the surface charge distribution in FNR and conclude that the positively charged region of the FNR surface located in the vicinity of K75, R16, and K72 is especially important in the binding and orientation of Fd during electron transfer.

Anabaena↗

Electrostatic interactions at charged lipid membranes. Kinetics of the electrostatically triggered phase transition.

Charged lipid membranes of dimyristoylmethylphosphatidic acid were mixed rapidly in a stopped-flow cell with protons or Ca2+ to compensate the charges and thereby trigger the ordered-fluid phase transition. The kinetics of the transition was studied by following the time development of the fluorescence anisotropy of diphenylhexatriene. A relaxation process was observed with a characteristic time in the range 10-200 ms. By comparison with existing theories of non-equilibrium relaxation it was concluded that the relaxation process is governed by a nucleation step.

Calcium↗

Electrostatic mutations in iberiotoxin as a unique tool for probing the electrostatic structure of the maxi-K channel outer vestibule.

Iberiotoxin (IbTX or alpha-KTx 1.3), a selective, high-affinity blocker of the large-conductance, calcium-activated (maxi-K) channel, exhibits a unique, asymmetric distribution of charge. To test how these charges control kinetics of IbTX binding, we generated five mutants at two positions, K27 and R34, that are highly conserved among other isotoxins. The dissociation and association rate constants, koff and kon, were determined from toxin-blocked and -unblocked durations of single maxi-K channels incorporated into planar lipid bilayers. Equilibrium dissociation constant (Kd) values were calculated from koff/kon. The IbTX mutants K27N, K27Q, and R34N caused large increases in Kd values compared to wild-type, suggesting that the IbTX interaction surface encompasses these residues. A well-established pore-blocking mechanism for IbTX predicts a voltage dependence of toxin-blocked times following occupancy of a potassium binding site in the channel pore. Time constants for block by K27R were approximately 5-fold slower at -20 mV versus +40 mV, while neutralization of K27 relieved the voltage dependence of block. This suggests that K27 in IbTX interacts with a potassium binding site in the pore. Neutralized mutants of K27 and R34, with zero net charge, displayed toxin association rate constants approximately 10-fold slower than wild-type. Association rates for R34N diminished approximately 19-fold when external potassium was increased from 30 to 300 mM. These findings suggest that simple net charge and diffusional processes do not control ingress of IbTX into the channel vestibule.

Animals↗

Electrostatic effects and the dynamics of enzyme reactions at the surface of plant cells. 2. The role of pectin methyl esterase in the modulation of electrostatic effects in soybean cell walls.

The pectin methyl esterase from soybean cell walls has been isolated and purified to homogeneity. It is a protein with a relative molecular mass close to 33 000. The enzyme is maximally active at a pH close to 8 and its pH dependence may be explained by a classical Dixon model, where the two interconvertible enzyme ionization states coexist. The outflux of protons from cell walls, upon raising the ionic strength, may be taken as an indirect estimate of the fixed charge density. If the cell-wall fragments are pre-incubated at pH values between 5 and 9, the outflux of protons rises with the pH of pre-incubation. This implies, as postulated from the theory developed in the preceding paper, that alkaline pH favours the activity of pectin methyl esterase and that this enzyme effectively generates the fixed negative charges of the cell wall. Therefore the pectin methyl esterase reaction builds up the Donnan potential, delta psi, at the cell surface. The cell-wall charge density, estimated from the proton outflux, as well as from the titration of methyl groups on the cell wall, reaches a maximum between the third and the fourth day of growth. While the cell-wall volume increases and reaches a plateau, the fixed charge density increases at first and then declines. This is understandable if one assumes that the building up of a high charge density is a co-operative phenomenon and that the local pH inside the wall rises during cell growth. When both the cell-wall volume and the charge density increase together, this suggests that the local pH inside the wall lies within the critical pH range associated with the steep response of the system. When the cell-wall volume increases together with a decrease of the fixed charge density, the local pH should have dropped below this critical pH range. Under these conditions the pectin methyl esterase remains inactive, or poorly active. As the number of fixed negative charges increases, calcium becomes tightly bound to cell walls. This binding is so tight that the net charge density is minimum when the calcium concentration is maximum. The experimental results, presented above, offer experimental support to two important ideas discussed in the preceding paper, namely that pectin methyl esterase reaction builds up the Donnan potential at the cell surface, and that this response may be co-operative with respect to pH.

Calcium↗

Electrostatic effects and the dynamics of enzyme reactions at the surface of plant cells. 3. Interplay between limited cell-wall autolysis, pectin methyl esterase activity and electrostatic effects in soybean cell walls.

Soybean cell walls display a process of autolysis which results in the release of reducing sugars from the walls. Loosening and autolysis of cell wall are involved in the cell-wall growth process, for autolysis is maximum during both cell extension and cell-wall synthesis. Autolysis goes to completion within about 50 h and is an enzymatic process that results from the activity of cell wall exo- and endo-glycosyltransferases. The optimum pH of autolysis is about 5. Increasing the ionic strength of the bulk phase where cell-wall fragments are suspended, results in a shift of the pH profile towards low pH. This is consistent with the view that at 'low' ionic strength, the local pH in the cell wall is lower than in the bulk phase. One of the main ideas of the model proposed in a preceding paper, is that pectin methyl esterase reaction, by building up a high fixed charge density, results in proton attraction in the wall. Low pH must then activate the wall loosening enzymes involved in autolysis and cell growth. This view may be directly confirmed experimentally. The pH of a cell-wall suspension, initially equal to 5, was brought to 8 for 20 min, then back to 5. Under these conditions, the rate of cell-wall autolysis was enhanced with respect to the rate of autolysis obtained with cell-wall fragments kept at pH 5. The pH response of the multienzyme plant cell-wall system basically relies on opposite pH sensitivities of the two types of enzymes involved in the growth process. Pectin methyl esterase, which generates the cell-wall Donnan potential, is inhibited by protons, whereas the wall-loosening enzymes involved in cell growth are activated by protons.

Autolysis↗

Electrostatics in protein binding and function.

Protein electrostatic properties stem from the proportion and distribution of polar and charged residues. Polar and charged residues regulate the electrostatic properties by forming short-range interactions, like salt-bridges and hydrogen-bonds, and by defining the over-all electrostatic environment in the protein. Electrostatics play a major role in defining the mechanisms of protein-protein complex formation, molecular recognitions, thermal stabilities, conformational adaptabilities and protein movements. For example:- Functional hinges, or flexible regions of the protein, lack short-range electrostatic interactions; Thermophilic proteins have higher electrostatic interactions than their mesophilic counter parts; Increase in binding specificity and affinity involve optimization of electrostatics; High affinity antibodies have higher, and stronger, electrostatic interactions with their antigens; Rigid parts of proteins have higher and stronger electrostatic interactions. In this review we address the significance of electrostatics in protein folding, binding and function. We discuss that the electrostatic properties are evolutionally selected by a protein to perform an specific function. We also provide bona fide examples to illustrate this. Additionally, using continuum electrostatic and molecular dynamics approaches we show that the "hot-spot" inter-molecular interactions in a very specific antibody-antigen binding are mainly established through charged residues. These "hot-spot" molecular interactions stay intact even during high temperature molecular dynamics simulations, while the other inter-molecular interactions, of lesser functional significance, disappear. This further corroborates the significance of charge-charge interactions in defining binding mechanisms. High affinity binding frequently involves "electrostatic steering". The forces emerge from over-all electrostatic complementarities and by the formation of charged and polar interactions. We demonstrate that although the high affinity binding of barnase-barstar and anti-hen egg white lysozyme (HEL) antibody-HEL complexes involve different molecular mechanisms, it is electrostatically regulated in both the cases. These observations, and several other studies, suggest that a fine tuning of local and global electrostatic properties are essential for protein binding and function.

Hydrogen Bonding↗

Electrostatic complementarity at protein/protein interfaces.

Calculation of the electrostatic potential of protein-protein complexes has led to the general assertion that protein-protein interfaces display "charge complementarity" and "electrostatic complementarity". In this study, quantitative measures for these two terms are developed and used to investigate protein-protein interfaces in a rigorous manner. Charge complementarity (CC) was defined using the correlation of charges on nearest neighbour atoms at the interface. All 12 protein-protein interfaces studied had insignificantly small CC values. Therefore, the term charge complementarity is not appropriate for the description of protein-protein interfaces when used in the sense measured by CC. Electrostatic complementarity (EC) was defined using the correlation of surface electrostatic potential at protein-protein interfaces. All twelve protein-protein interfaces studied had significant EC values, and thus the assertion that protein-protein association involves surfaces with complementary electrostatic potential was substantially confirmed. The term electrostatic complementarity can therefore be used to describe protein-protein interfaces when used in the sense measured by EC. Taken together, the results for CC and EC demonstrate the relevance of the long-range effects of charges, as described by the electrostatic potential at the binding interface. The EC value did not partition the complexes by type such as antigen-antibody and proteinase-inhibitor, as measures of the geometrical complementarity at protein-protein interfaces have done. The EC value was also not directly related to the number of salt bridges in the interface, and neutralisation of these salt bridges showed that other charges also contributed significantly to electrostatic complementarity and electrostatic interactions between the proteins. Electrostatic complementarity as defined by EC was extended to investigate the electrostatic similarity at the surface of influenza virus neuraminidase where the epitopes of two monoclonal antibodies, NC10 and NC41, overlap. Although NC10 and NC41 both have quite high values of EC for their interaction with neuraminidase, the similarity in electrostatic potential generated by the two on the overlapping region of the epitopes is insignificant. Thus, it is possible for two antibodies to recognise the electrostatic surface of a protein in dissimilar ways.

Antigen-Antibody Reactions↗

The barrier for proton transport in aquaporins as a challenge for electrostatic models: the role of protein relaxation in mutational calculations.

The origin of the barrier for proton transport through the aquaporin channel is a problem of general interest. It is becoming increasingly clear that this barrier is not attributable to the orientation of the water molecules across the channel but rather to the electrostatic penalty for moving the proton charge to the center of the channel. However, the reason for the high electrostatic barrier is still rather controversial. It has been argued by some workers that the barrier is due to the so-called NPA motif and/or to the helix macrodipole or to other specific elements. However, our works indicated that the main reason for the high barrier is the loss of the generalized solvation upon moving the proton charge from the bulk to the center of the channel and that this does not reflect a specific repulsive electrostatic interaction but the absence of sufficient electrostatic stabilization. At this stage it seems that the elucidation and clarification of the origin of the electrostatic barrier can serve as an instructive test case for electrostatic models. Thus, we reexamine the free-energy surface for proton transport in aquaporins using the microscopic free-energy perturbation/umbrella sampling (FEP/US) and the empirical valence bond/umbrella sampling (EVB/US) methods as well as the semimacroscopic protein dipole Langevin dipole model in its linear response approximation version (the PDLD/S-LRA). These extensive studies help to clarify the nature of the barrier and to establish the "reduced solvation effect" as the primary source of this barrier. That is, it is found that the barrier is associated with the loss of the generalized solvation energy (which includes of course all electrostatic effects) upon moving the proton charge from the bulk solvent to the center of the channel. It is also demonstrated that the residues in the NPA region and the helix dipole cannot be considered as the main reasons for the electrostatic barrier. Furthermore, our microscopic and semimacroscopic studies clarify the problems with incomplete alternative calculations, illustrating that the effects of various electrostatic elements are drastically overestimated by macroscopic calculations that use a low dielectric constant and do not consider the protein reorganization. Similarly, it is pointed out that microscopic potential of mean force calculations that do not evaluate the electrostatic barrier relative to the bulk water cannot be used to establish the origin of the electrostatic barrier. The relationship between the present study and calculations of pK(a)s in protein interiors is clarified, pointing out that approaches that are applied to study the aquaporin barrier should be validated by pK(a)s calculations. Such calculations also help to clarify the crucial role of solvation energies in establishing the barrier in aquaporins.

Aquaporins↗