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Modeling chemical bonding effects for protein electron crystallography: the transferable fragmental electrostatic potential (TFESP) method.

This paper addresses the problem of determining the electrostatic potential of large proteins by the superposition of potentials calculated for small fragments. The use of different atomic and molecular fragments is considered for reproducing the molecular electrostatic potential of different conformations of N-acetylalanine methylamide (NAAMA) with an acceptable degree of error as measured by conventional R factors used in crystallographic structure refinement. Three different divisions of NAAMA are tested, producing fragments that incorporate increasingly more complete descriptions of molecular bonding with diminishing accuracy in geometric fit to the parent molecule: single atoms in molecules, bonded atoms in molecules and selected functional groups, such as the backbone peptide moiety, or the alpha-carbon, beta-carbon and their associated H atoms. In the resolution range 2.5-25A, the fairly straightforward use of single atoms in molecules reduces the calculated R factors by 5-15% over a free-atom superposition. No significant further improvement was found at the lowest resolutions with a superposition of single bonds in molecules and R factors were found to degrade with larger fragments at higher resolutions because of poor geometry fits to the atoms of the parent molecule. Because the potential distribution even for single atoms depends on the environment, the best accuracy will be obtained by using a library of fragment potentials calculated for each type of atom as a function of important protein conformations.

Algorithms↗

The quantum topological electrostatic potential as a probe for functional group transferability.

The electrostatic potential can be used as an appropriate and convenient indicator of how transferable an atom or functional group is between two molecules. Quantum-chemical topology (QCT) is used to define the electron density of a molecular fragment and the electrostatic potential it generates. The potential generated on a grid by the terminal aldehyde group of the biomolecule retinal is compared with the corresponding aldehyde group in smaller molecules derived from retinal. The terminal amino group in the free amino acid lysine was treated in a similar fashion. Each molecule is geometry-optimized by an ab initio calculation at B3LYP/6-311G+(2d,p)//HF/6-31G(d) level. The amino group in lysine is very little influenced by any part of the molecule further than two C atoms away. However, the aldehyde group in retinal is influenced by molecular fragments six C atoms away. This dramatic disparity is ascribed to the difference in saturation in the carbon chains; retinal contains a conjugated hydrocarbon chain but lysine an aliphatic one.

Aldehydes↗

Invariom structure refinement, electrostatic potential and toxicity of 4-O-methylalpinumisoflavone, O,O-dimethylalpinumisoflavone and 5-O-methyl-4-O-(3-methylbut-2-en-1-yl)alpinumisoflavone.

The accurate X-ray single-crystal structures of the isoflavone compounds 4-O-methylalpinumisoflavone, O,O-dimethylalpinumisoflavone and 5-O-methyl-4-O-(3-methylbut-2-en-1-yl)alpinumisoflavone {alpinumisoflavone = 5-hydroxy-7-(4-hydroxyphenyl)-2,2-dimethyl-2H,6H-benzo[1,2-b:5,4-b']dipyran-6-one} from data sets measured at cryogenic temperature have been obtained from invariom modelling using theoretically predicted Hansen and Coppens multipole-model form factors, which describe the aspherical electron density distribution. Molecular dipole moments and electrostatic potentials obtained from invariom modelling are discussed and compared with results from ab initio theoretical calculations. All three studied compounds are solvent extracts of root bark or seed powder of Millettia thonningii (leguminosae), a plant molluscicide and cercaricide used in Franco West Africa as medication against various diseases. The compounds' toxicities to brine shrimp have been determined and their different potencies tentatively related to conformation differences, intramolecular contacts, dipole moments and electrostatic potential features.

Animals↗

Thermal vibrations and electrostatic properties of parabanic acid at 123 and 298 K.

The crystal structure of parabanic acid (1H,3H-imidazoletrione, C3H2N2O3, Mr = 114.1) at 123 K [monoclinic, P2(1)/n, Z = 4, a = 10.704 (2), b = 8.187 (2), c = 4.969 (1) A, beta = 92.32 (1)o] has been determined by neutron and X-ray diffraction. Neutron reflections [1658, (sin theta)/lambda less than or equal to 0.78 A-1, lambda = 1.0470 (1) A, mu = 0.75 cm-1] in full-matrix least-squares refinement (wR = 0.055) gave nuclear parameters with bond lengths having estimated standard deviations (e.s.d.'s) of 0.001 A. X-ray reflections [3150 with magnitude of F magnitude of greater than or equal to 3 sigma and (sin theta)/lambda less than or equal to 1.3 A-1, Mo Ka, lambda = 0.7093 (1) A, mu = 1.708 cm-1] were used in full-matrix least-squares refinement (R = 0.022) assuming Stewart's rigid pseudoatom model, so as to determine the charge-density distribution. Sharp features near the O nuclei in the residual electron density map noted by Craven & McMullan (CM) [Acta Cryst. (1979), B35, 934-945] in their 298 K study were absent at 123 K. New refinements using CM's 298 K data give significant third-order thermal parameters for O atoms due to anharmonic molecular stretching, with good agreement between probability density functions, (p.d.f.'s) from X-ray and neutron diffraction. When deconvoluted from the thermal vibrations in the crystal, deformation charge densities derived at 298 and 123 K are in satisfactory agreement and conform closely to the 2 mm symmetry of the isolated molecule. The molecular dipole moment is 2.3 (3) D [7.7 (10) x 10(-30) C m]. A map of molecular electrostatic potential indicates that the carbonyl O atoms in parabanic acid are weakly electronegative. This is confirmed by calculation of the electrostatic energy of interaction for the two distinct H-bonded pairs of molecules isolated from the crystal. Energy values are weakly attractive [-7 (3) and 5 (2) kJ mol-1]. Similar calculations are less reliable for pairs of molecules forming intermolecular C....O distances as short as 2.75 A. However, depending on the model, energy values are repulsive or negligibly small. Thus the high stability of parabanic acid crystals (m.p. 516 K with decomposition) cannot be explained.

Chemical Phenomena↗

Electrostatic properties of cytosine monohydrate from diffraction data.

The charge density distribution in deuterated cytosine monohydrate [4-(2H2)-amino-2(1H)-(1-2H)-pyrimidinone], C4H2D3N3O.D2O, Mr = 134.15, monoclinic, P2(1)/c, a = 7.714 (1), b = 9.825 (1), c = 7.506 (2) A, beta = 100.52 (1) degrees, Z = 4, has been determined from 1432 X-ray reflections [sin theta/lambda less than 1.15 A-1, Mo K alpha, lambda = 0.7093 (1) A] collected at 82 (2) K. Least-squares structure refinement assuming Stewart's rigid pseudoatom model gave R(F) = 0.041, with all nuclear positions and H/D anisotropic thermal parameters having fixed values previously determined by neutron diffraction. The cytosine and water molecules are both electrically neutral within experimental error (0.09 e). Molecular dipole moments are mu = 8.0 (1.4) debye for cytosine and 2.3 (3) debye for water. For the doubly hydrogen-bonded cytosine dimer (N1-D1...N3', N4-D4...O2') isolated from the crystal, the electrostatic energy of interaction is estimated to be -96 (27) kJ mol-1. Maps of the electrostatic potential for molecules isolated from the crystal indicate that the electronegativity of the hydrogen-bonding acceptor sites can be ranked with the water O atom, cytosine N(3) and carbonyl O(2) in decreasing order.

Crystallization↗

Electrostatic properties of beta-cytidine and cytosine monohydrate from Bragg diffraction.

The charge-density distribution in the crystal structure of the nucleoside beta-cytidine at 123 K has been determined from X-ray diffraction data (Ag K alpha, lambda = 0.5608 A) using all 7233 reflections with sin theta/lambda < or = 1.14 A-1. Maps of electrostatic potential for the cytosine base in cytidine are similar to those derived from previous charge-density studies of cytosine monohydrate and 1-beta-D-arabinosyl-cytosine, after taking chemical differences into account. These results were obtained from pseudoatom multipole refinements including kappa as a variable to describe the expansion or contraction of the spherical valence shell for each atom type. A new structure refinement of this type has also been carried out for cytosine monohydrate. A survey of kappa values for hydrogen indicates that this is a variable which is not well determined experimentally. Variations in kappa H are relayed into the population parameters obtained for other pseudoatoms and can have a small but significant effect on molecular properties, such as the dipole moment. Assuming an average theoretical value of kappa H = 1.24, the molecular dipole moments calculated from the monopole and dipole pseudoatom population parameters are 17 (4) and 8.2 (15) Debye for cytidine nucleoside and cytosine in the monohydrate, respectively. Systems of atomic point charges are presented for cytidine, cytosine and water. These are generally satisfactory in reproducing the experimentally determined molecular electrostatic potentials and dipole moments.

Chemical Phenomena↗

Electron density and electrostatic potential of KNiF3: multipole, orbital and topological analyses of vacuum-camera-imaging plate and four-circle diffractometer data.

The electron density and electrostatic potential of KNiF(3), nickel potassium trifluoride, were studied using multipole and orbital model treatment of the precision X-ray diffraction data measured by vacuum-camera-imaging plate and four-circle diffractometer methods. Different experimental methods lead to similar multipole and atomic displacement parameters and to qualitatively the same electron densities. Good agreement was also achieved for the Laplacians of the electron density and the electrostatic potentials. Some pitfalls of the vacuum-camera-imaging plate method that could be improved are discussed.

Journal Article↗

Reintroducing electrostatics into protein X-ray structure refinement: bulk solvent treated as a dielectric continuum.

Structural refinement of proteins involves the minimization of a target function that combines X-ray data with a set of restraints enforcing stereochemistry and packing. Electrostatic interactions are not ordinarily included in the target function, partly because they cannot be calculated reliably without a description of dielectric screening by solvent in the crystal. With the recent development of accurate implicit solvent models to describe this screening, the question arises as to whether a more detailed target function including electrostatic and solvation terms can yield more accurate structures or somewhat different structures of equivalent accuracy. The Generalized Born (GB) model is one such model that describes the solvent as a dielectric continuum, taking into account its heterogeneous distribution within the crystal. It is used here for X-ray refinements of three protein structures with experimental diffraction data to 2.4, 2.9 and 3.2 A, respectively. In each case, a higher resolution structure is available for comparison. The new target function includes stereochemical restraints, van der Waals, Coulomb and solvation interactions, along with the usual X-ray pseudo-energy term, which employs the likelihood estimator of Pannu and Read. Multiple simulated-annealing refinements were performed in torsion-angle space with a conventional target function and the new GB target function, yielding ensembles of refined structures. The new target function yields structures of similar accuracy, as measured by the free R factor, map/model correlations and deviations from the high-resolution structures. About 10% of side-chain conformations differ between the two sets of refinements, in the sense that the two ensembles of conformations do not completely overlap. Over 75% of the differences correspond to surface side chains. For one of the proteins, the GB set has a greater dispersion, indicating that for this case the conventional target function overestimates the true precision. As GB parameterization continues to improve, we expect that this approach will become increasingly useful.

Aspartate-tRNA Ligase↗

Electrostatic microactuators for precise positioning of neural microelectrodes.

Microelectrode arrays used for monitoring single and multineuronal action potentials often fail to record from the same population of neurons over a period of time likely due to micromotion of neurons away from the microelectrode, gliosis around the recording site and also brain movement due to behavior. We report here novel electrostatic microactuated microelectrodes that will enable precise repositioning of the microelectrodes within the brain tissue. Electrostatic comb-drive microactuators and associated microelectrodes are fabricated using the SUMMiT V (Sandia's Ultraplanar Multilevel MEMS Technology) process, a five-layer polysilicon micromachining technology of the Sandia National labs, NM. The microfabricated microactuators enable precise bidirectional positioning of the microelectrodes in the brain with accuracy in the order of 1 microm. The microactuators allow for a linear translation of the microelectrodes of up to 5 mm in either direction making it suitable for positioning microelectrodes in deep structures of a rodent brain. The overall translation was reduced to approximately 2 mm after insulation of the microelectrodes with epoxy for monitoring multiunit activity. The microactuators are capable of driving the microelectrodes in the brain tissue with forces in the order of several micro-Newtons. Single unit recordings were obtained from the somatosensory cortex of adult rats in acute experiments demonstrating the feasibility of this technology. Further optimization of the insulation, packaging and interconnect issues will be necessary before this technology can be validated in long-term experiments.

Action Potentials↗

Ferroelectric-based electrostatic micromotors with nanometer gaps.

The design of the capacitive motors that are based on the electrostatic rolling of the thin metallic film on the ferroelectric surface is studied. It is shown that this method of energy conversion allows one to move the main stage of electromechanical energy conversion into the nanometer range when using the materials with high dielectric permeability (more than 500). The analysis of the distribution of the forces and field in the nanometer gap of the electrostatic micromotors is carried out. An experimental investigation of these micromotors is performed.

Electromagnetic Phenomena↗

The long-range electrostatic interactions control tRNA-aminoacyl-tRNA synthetase complex formation.

In most cases aminoacyl-tRNA synthetases (aaRSs) are negatively charged, as are the tRNA substrates. It is apparent that there are driving forces that provide a long-range attraction between like charge aaRS and tRNA, and ensure formation of "close encounters." Based on numerical solutions to the nonlinear Poisson-Boltzmann equation, we evaluated the electrostatic potential generated by different aaRSs. The 3D-isopotential surfaces calculated for different aaRSs at 0.01 kT/e contour level reveal the presence of large positive patches-one patch for each tRNA molecule. This is true for classes I and II monomers, dimers, and heterotetramers. The potential maps keep their characteristic features over a wide range of contour levels. The results suggest that nonspecific electrostatic interactions are the driving forces of primary stickiness of aaRSs-tRNA complexes. The long-range attraction in aaRS-tRNA systems is explained by capture of negatively charged tRNA into "blue space area" of the positive potential generated by aaRSs. Localization of tRNA in this area is a prerequisite for overcoming the barrier of Brownian motion.

Amino Acyl-tRNA Synthetases↗

Src kinase activation: A switched electrostatic network.

Src tyrosine kinases are essential in numerous cell signaling pathways, and improper functioning of these enzymes has been implicated in many diseases. The activity of Src kinases is regulated by conformational activation, which involves several structural changes within the catalytic domain (CD): the orientation of two lobes of CD; rearrangement of the activation loop (A-loop); and movement of an alpha-helix (alphaC), which is located at the interface between the two lobes, into or away from the catalytic cleft. Conformational activation was investigated using biased molecular dynamics to explore the transition pathway between the active and the down-regulated conformation of CD for the Src-kinase family member Lyn kinase, and to gain insight into the interdependence of these changes. Lobe opening is observed to be a facile motion, whereas movement of the A-loop motion is more complex requiring secondary structure changes as well as communication with alphaC. A key result is that the conformational transition involves a switch in an electrostatic network of six polar residues between the active and the down-regulated conformations. The exchange between interactions links the three main motions of the CD. Kinetic experiments that would demonstrate the contribution of the switched electrostatic network to the enzyme mechanism are proposed. Possible implications for regulation conferred by interdomain interactions are also discussed.

Catalytic Domain↗

Modeling of denatured state for calculation of the electrostatic contribution to protein stability.

Existing models of the denatured state of proteins consider only one possible spatial distribution of protein charges and therefore are applicable to a limited number of cases. In this article, a more general framework for the modeling of the denatured state is proposed. It is based on the assumption that the titratable groups of an unfolded protein can adopt a quasi-random distribution restricted by the protein sequence. The model was applied for the calculations of electrostatic interactions in two proteins, barnase and N-terminal domain of the ribosomal protein L9. The calculated free energy of denaturation, DeltaG(pH), reproduces the experimental data better than the commonly used null approximation (NA). It was shown that the seemingly good agreement with experimental data obtained by NA originates from the compensatory effect between the pairwise electrostatic interactions and the desolvation energy of the individual sites. It was also found that the ionization properties of denatured proteins are influenced by the protein sequence.

Bacterial Proteins↗

Electrostatic properties of the anion selective porin Omp32 from Delftia acidovorans and of the arginine cluster of bacterial porins.

The functional properties of the anion-selective porin Omp32 from the bacterium Delftia acidovorans, formerly Comamonas acidovorans, are determined by the particularly narrow channel constriction and the electrostatic field inside and outside the pore. A cluster of arginines (Arg 38, Arg 75, and Arg 133) determines the electrostatic field close to the constriction zone. Stacked amino acids carrying charges are prone to drastic pK(a) shifts. However, optimized calculations of the titration behavior of charged groups, based on the finite-difference Poisson-Boltzmann technique, suggest that all the arginines are charged at physiological pH. Protonation of the clustered arginines is stabilized by one buried glutamate residue (Glu 58), which is strongly interacting with Arg 75 and Arg 38. This functional arrangement of three charged amino acid residues is of general significance because it is found in the constriction zones of all known 16-stranded porins from the alpha-, beta-, and gamma-proteobacteria.

Amino Acid Sequence↗

Off-axis electron holography of electrostatic potentials in unbiased and reverse biased focused ion beam milled semiconductor devices.

Off-axis electron holography in the transmission electron microscope (TEM) is used to measure two-dimensional electrostatic potentials in both unbiased and reverse biased silicon specimens that each contain a single p-n junction. All the specimens are prepared for examination in the TEM using focused ion beam (FIB) milling. The in situ electrical biasing experiments make use of a novel specimen geometry, which is based on a combination of cleaving and FIB milling. The design and construction of an electrical biasing holder are described, and the effects of TEM specimen preparation on the electrostatic potential in the specimen, as well as on fringing fields beyond the specimen surface, are assessed.

Journal Article↗

Tertiary structure of tRNAPhe (yeast): kinetics and electrostatic repulsion.

Conditions were established that allowed the observation of the unfolding of the tertiary structure of tRNAPhe (yeast) without the interference of either secondary structure or low salt aberrant structures. Relaxation kinetics of tertiary structure melting show that the reaction proceeds according to co-operative all-or-none mechanism. The negative activation enthalpy of formation (delta H+ + R = -14 +/- 5 kcal/mol, -59 +/- 21 kJ/mol) implies a fast pre-equilibrium preceding the rate-limiting step. The ionic strength dependence of the corresponding rate constant demonstrates that most of the electrostatic repulsion characteristic of tertiary structure folding is overcome before the rate-limiting step is reached. On the other hand, most of the stabilizing enthalpy change occurs after the rate-limiting step. At the usual ionic strength (0.1 M Na+) tertiary structure folding is about 100 times slower than double-helix formation. Extrapolation of the rate constants to high ionic strengths, however, indicates that the dynamic differences between secondary and tertiary structure are only due to electrostatic repulsion. The stabilization of tertiary structure by alkaline salts is increased by decreasing the cationic radius. Double helices show virtually no dependence on the radius of monovalent cations. This indicates considerable geometric restrictions for the stabilization of tertiary structure.

Kinetics↗

Electrostatic field effects of coenzymes on ligand binding to catalytic zinc in liver alcohol dehydrogenase.

The synergism between coenzyme and anion binding to liver alcohol dehydrogenase has been examined by equilibrium measurements and transient-state kinetic methods to characterize electrostatic interactions of coenzymes with ligands which are bound to the catalytic zinc ion of the enzyme subunit. Inorganic anions typically exhibit an at least 200-fold higher affinity for the general anion-binding site than for catalytic zinc on complex formation with free enzyme. Acetate and SCN- interact more strongly with catalytic zinc in the enzyme X NAD+ complex than with the general anion-binding site in free enzyme. CN- shows no significant affinity for the general anion-binding site, but combines to catalytic zinc in the absence as well as the presence of coenzymes. Coordination of CN- to catalytic zinc weakens the binding of NADH by a factor of 50, and tightens the binding of NAD+ to approximately the same extent through interactions which do not include any contributions from covalent adduct formation between CN- and NAD+. These observations provide unambiguous information about the magnitude of electrostatic field effects of coenzymes on anion (e.g. hydroxyl ion) binding to catalytic zinc. They lead to the important inference that coenzyme binding must be strongly affected by ionization of zinc-bound water irrespective of the actual acidity of the latter group. It is concluded on such grounds that the much debated pH dependence of coenzyme binding to liver alcohol dehydrogenase must derive from ionization of zinc-bound water. The assumption that such is not the case leads to the inference that there is no detectable effect of ionization of zinc-bound water on coenzyme binding over the pH range 6-12, a possibility which is definitely excluded by the present results.

Alcohol Dehydrogenase↗

Electrostatic effects and the dynamics of enzyme reactions at the surface of plant cells. 1. A theory of the ionic control of a complex multi-enzyme system.

A theory is proposed to explain the physical bases of the ionic control of the activity of an enzyme system, located on a plant cell surface, and probably involved in cell-wall synthesis and extension. The model, which is based on various previously published experimental results, involves several assumptions: a cell-wall pectin methyl esterase de-esterifies pectins and thus creates the fixed negative charges of the cell wall; various enzymes incorporate uncharged carbohydrates in cell-wall material; cell-wall extension implies the sliding of cellulose microfibrils; the enzymes responsible for carbohydrate incorporation are activated by protons in the pH range 4-8 and have very similar pH dependencies: the cell-wall pectin methyl esterase is inhibited by protons in the same pH range. The mathematical derivation of this model, written in the form of a hypercycle, indicates that it is equivalent to a set of two antagonistic enzyme reactions: an enzyme reaction conditioned by pectin methyl esterase which results in the increase of fixed charge density of the cell wall; a number of 'growth enzymes', which produce extension and building up of the cell wall and therefore a decrease of charge density. The mathematical study of this model shows it may display a very high co-operativity of its response to slight changes of pH. This cooperativity means that the cell wall charge density may dramatically increase or decrease, within a very narrow pH range. The steep response of this system appears to be the direct consequence of different pH sensitivities of pectin methyl esterase and of the other cell-wall enzymes involved in cell growth. Calcium, which tightly binds to the cell wall, may diminish or even suppress this abrupt charge transition. This model suggests a novel theory of the ionic control of cell-wall expansion. The very basis of this theory is the existence of an electrostatic potential difference, delta psi, between the inside and the outside of the cell wall. When this delta psi value is large, the local proton concentration is high. Therefore the enzymes involved in cell wall extension and building up are active, but pectin methyl esterase is not. Therefore, the cell wall extends and the charge density decreases. The delta psi value then declines, as well as the local proton concentration. Under these conditions, the pectin methyl esterase becomes activated, whereas the 'growth enzymes' are not. This activation of pectin methyl esterase restores the initial, or an even higher, electrostatic potential difference, which in turn results in a decrease of local pH.(ABSTRACT TRUNCATED AT 400 WORDS)

Calcium↗