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Principles of protein folding--a perspective from simple exact models.

General principles of protein structure, stability, and folding kinetics have recently been explored in computer simulations of simple exact lattice models. These models represent protein chains at a rudimentary level, but they involve few parameters, approximations, or implicit biases, and they allow complete explorations of conformational and sequence spaces. Such simulations have resulted in testable predictions that are sometimes unanticipated: The folding code is mainly binary and delocalized throughout the amino acid sequence. The secondary and tertiary structures of a protein are specified mainly by the sequence of polar and nonpolar monomers. More specific interactions may refine the structure, rather than dominate the folding code. Simple exact models can account for the properties that characterize protein folding: two-state cooperativity, secondary and tertiary structures, and multistage folding kinetics--fast hydrophobic collapse followed by slower annealing. These studies suggest the possibility of creating "foldable" chain molecules other than proteins. The encoding of a unique compact chain conformation may not require amino acids; it may require only the ability to synthesize specific monomer sequences in which at least one monomer type is solvent-averse.

Amino Acid Sequence↗

Non-Markovian theories based on a decomposition of the spectral density.

For the description of dynamical effects in quantum mechanical systems on ultrashort time scales, memory effects play an important role. Meier and Tannor [J. Chem. Phys. 111, 3365 (1999)] developed an approach which is based on a time-nonlocal scheme employing a numerical decomposition of the spectral density. Here we propose two different approaches which are based on a partial time-ordering prescription, i.e., a time-local formalism and also on a numerical decomposition of the spectral density. In special cases such as the Debye spectral density the present scheme can be employed even without the numerical decomposition of the spectral density. One of the proposed schemes is valid for time-independent Hamiltonians and can be given in a compact quantum master equation. In the case of time-dependent Hamiltonians one has to introduce auxiliary operators which have to be propagated in time along with the density matrix. For the example of a damped harmonic oscillator these non-Markovian theories are compared among each other, to the Markovian limit neglecting memory effects and time dependencies, and to exact path integral calculations. Good agreement between the exact calculations and the non-Markovian results is obtained. Some of the non-Markovian theories mentioned above treat the time dependence in the system Hamiltonians nonperturbatively. Therefore these methods can be used for the simulation of experiments with arbitrary large laser fields.

Journal Article↗

[Wet synthesis and characterization of fluoride-substituted hydroxyapatite].

Hydroxyapatite and fluoride-substituted hydroxyapatite powders are synthesized by wet method, compacted into pellets and subjected to heat treatment at 300, 600, 900 degrees C respectively. Analysis of the fluoride-substituted hydroxyapatites and HA by FTIR spectroscopy indicated that with the increasing of sintering temperatures, the phase-pure fluoride-substituted hydroxyapatite and stoichiometric hydroxyapatite could be got. According to the X-ray diffraction analysis, the fluoride-substituted hydroxyapatite is less stable for decomposing into beta-Ca3(PO4)2 at the temperature of 900 degrees C. The in vitro bioactivity of the fluoride-substituted hydroxyapatites and hydroxyapatite heat treated at 900 degrees C was assessed by immersion testing in simulated body fluid (SBF). Both scanning electron microscopy (SEM) analysis and ionic solution changes (Ca2+) demonstrated that the low fluoride content apatite could induce a surface bonelike apatite layer formation.

Fluorides↗

[Nerve impulse conduction along myelinated fibers while internodal vary (mathematical model)].

The mathematical model of a myelinated fibre (Hille, 1971) was used to study the dependence of the velocity of nerve impulse propagation (theta) and of some parameters of the action potential on the properties of internodes. Calculations have shown that with increasing of the length (L) of internodes over the range of 0.75-3 mm, theta rises and then declines; in the fibre with the external diameter, D = 14 mu the maximum of theta falls on L = 1.5 mm. With decreasing of d/D (d = internal diameter of the fibre) at expense of D (simulation of the myelin sheath thickening) theta grows up monotonically, while the safety factor N (defined as the ratio of the potential (V) in the 6th node to V in the 8th node at a moment when V in the 8th node reaches its maximum) rises steeply only up to d/D approximately 0.75; with further increasing of D, N increases insignificantly. The raising of the longitudinal resistance (ri + r0) leads to the gradual decrease of theta; at ri + r0 = 70 mohm/cm the nerve impulse propagation ceased. The estimation of the longitudinal resistance of the intercellular clefts suggests that in the nerve trunks with a compact packing of nerve fibres the flow of the local currents through the axoplasm of the neighbouring fibres is a prerequisite for impulse conduction. The possibility of electrical (electronical) interaction between the membranes of nodes and internodes has been studied. Calculations have shown that if the generation of a membrane potential in the internode were absent, the resting potential of the node would by 10 mv lower than the potential created by the nodal "generator".

Action Potentials↗

Solution structure of Grb2 reveals extensive flexibility necessary for target recognition.

Grb2 is an adaptor protein composed of a single SH2 domain flanked by two SH3 domains. Grb2 functions as an important evolutionary conserved link between a variety of cell membrane receptors and the Ras/MAP kinase-signaling cascade. Here, we describe the solution structure of Grb2 as revealed by NMR and small angle X-ray scattering measurements. We demonstrate that Grb2 is a flexible protein in which the C-terminal SH3 domain is connected to the SH2 domain via a flexible linker. This is in contrast to the previously described Grb2 crystal structure, which showed a compact structure with intramolecular contact between two SH3 domains. Binding experiments on Grb2 and peptides containing two different proline-rich sequences indicate that Grb2 adapts the relative position and orientation of the two SH3 domains to bind bivalently to the target peptide sequences.

Adaptor Proteins, Signal Transducing↗

Preparation and release studies of alkannin-containing microcapsules.

Microcapsules containing the pharmaceutical substance alkannin were prepared by the solvent evaporation method to enhance alkannin stability (reduce photo-oxidation, polymerization), to decrease its hydrophobicity and to control its release rate. The effect of various parameters, such as the type of polymeric matrix, the type of surfactant used for microcapsules preparation and the addition of Pistacia lentiscus resin in the core, on the characteristics of the produced microcapsules and the release rate of alkannin were investigated experimentally. Among the polymers tested for matrix, ethylcellulose of viscosity 46cp was the most successful, while ethylcellulose 10cp gave microcapsules with good morphological characteristics but high release rate. Beeswax resulted in flocculation and P. lentiscus resin with or without colophony as the matrix resulted in compact particles with no pores and much slower release, but did not allow alkannin to release easily from the matrix. Sodium dodecyl sulfate resulted in microcapsules with desirable morphological and physicochemical characteristics, while acacia and tragacanth gums were not indicated as surfactants in alkannin microencapsulation since they gave a high release rate and a great extent of particle size, respectively. The incorporation of Pistacia lentiscus resin in the capsule core increased loading and microencapsulation efficiency. Ethylcellulose of 46cp viscosity with sodium dodecyl sulfate as surfactant had the best characteristics studied for alkannin microencapsulation. Finally, the dissolution rate of alkannin from microcapsules was studied in a simulated intestinal and gastric environment and an external environment. Alkannin-containing microcapsules with improved properties can be used internally and externally as a new drug-delivery system.

Capsules↗

Ab initio structure determination of the lantibiotic mersacidin.

The crystal structure of mersacidin, a potential novel antibiotic against methicillin- and vancomycin-resistant Staphylococcus aureus strains, has been determined by ab initio methods. Despite all crystals being merohedrally twinned, an accurate structural model with an R value of 13.4% has been obtained at atomic resolution. With six molecules in the asymmetric unit and no atom heavier than sulfur, the structure corresponds to a protein of 120 amino acids and is the largest approximately equal-atom unknown structure solved by direct methods. In the crystal, the molecule assumes a compact fold different from that found by NMR in solution. Comparison of the NCS-related molecules reveals regions of variable flexibility. The region highly homologous to the related antibiotic actagardine is very rigid and possibly defines an essential building block of this class of new antibacterial substances.

Alanine↗

Cushing's syndrome due to a large adrenocortical adenoma with histological features simulating ACTH-independent macronodular adrenocortical hyperplasia.

A 53-year-old woman presented with Cushing's syndrome resulting from an adrenocortical adenoma, 6.5 cm in diameter and 75 g in weight, which is larger than usual. Endocrinological data of this patient showed adrenocorticotropin (ACTH)-independent hypercortisolemia. A computed tomography scan of the adrenal glands revealed a single large and well-encapsulated tumor with an irregularly shaped area of calcification and loss of parenchyma on the left adrenal. The right adrenal gland was atrophic. Laparoscopic removal of the left adrenal tumor was performed. The tumor was lobulated and clearly encapsulated, and the non-neoplastic area of the left adrenal was atrophic without any nodularity. The histological analysis confirmed the diagnosis of adrenal adenoma. In addition, this adenoma displayed histopathological features in common with ACTH-independent macronodular adrenocortical hyperplasia (AIMAH), including clear cell predominance, a pattern of small compact cell nests in clear cell areas, and very long cord-like arrangement of small compact cells. In AIMAH, adrenals are extremely enlarged and are more massive than in any other subtype of Cushing's syndrome. The fact that the present adrenocortical adenoma was larger than those typical adenomas of Cushing's syndrome may reflect an AIMAH-type cellular composition of clear cell predominance and small compact cell nests.

Adrenal Cortex Neoplasms↗

[The enhancement of the efficacy of patient orthodontic treatment based on the mathematical modelling of prospective implant designs].

Opportunities to increase prosthetic treatment efficiency by means of applying osseointegrated implants of traditional and prospective types are analysed. A technique of mathematical modelling of the interaction between implants and jaw bone is exposed. The numerical model and applied program, developed on the basis of finite element method, enabling to analyse a stress strain state of the bone and to determine extreme safe loads on implants are described. It is shown, that the most loaded zone is a layer of the compact bone directly contiguous to the neck of the implant. That is in good agreement with the results of clinical research, according to which just this zone has the highest percentage of complications. Methods for further optimisation of implants and prosthetic structures for the purpose to perfect the techniques of prosthetic treatment are discussed.

Computer Simulation↗

Assessment of the multi-scale leaching behaviour of compacted coal fly ash.

Peer experimental-modelling tools were developed and applied in the case of coal fly ashes with the aim to assess the leaching behaviour of ash compacted layers in a use scenario. Laboratory-scale (dissolution kinetics, ANC test, column percolation) and field pilot experimental studies (release monitoring during 18 month, hydrodynamic study, ANC on 44 month leached waste) were performed in order to identify and quantify the main transport phenomena and chemical processes. A quantitative geochemical model was developed taking into account equilibrium chemical reactions as well as kinetic processes for silicate phases like albite, K-feldspar and Ca-olivine. Phases like BaHAsO(4) and a solid solution Ba(x)Sr(1-x)(SO(4))(y)(CrO(4))(1-y) were proposed to explain the complex leaching behaviour of As, Cr, Ba, S; the soluble CaMoO(4) seems to control the Mo concentration. At neutral and acid pH, the model of surface complexation on ferric hydroxides was added for describing the behaviour of As, Cr, and Mo. At each scale the dynamic processes were identified and quantified by modelling. During the first contact with water an equilibration time of about 10 days was identified and then considered in all other laboratory experiments (ANC, column percolation). The hydrodynamic properties of compacted fly ashes were identified: a high water retention capacity (97% of the pores are still filled after draining under normal pressure), a flow regime close to plug type, a low fraction of stagnant zones (<0.03%). The scenario factors like carbonation and rainfall play an important role on the leaching behaviour at field scale. The carbonation diminishes the leachate pH from 11 to 8.5. The alternation of rain periods determines an apparent batch behaviour which slows down the outflow of the initial soluble fraction in pore water, if compared with the laboratory percolation column. The coupled geochemical-transport model was validated by comparison of the simulation results on ANC data obtained on the waste after 44 months of leaching under natural conditions.

Acids↗

Phase-retrieved pupil functions in wide-field fluorescence microscopy.

Pupil functions are compact and modifiable descriptions of the three-dimensional (3D) imaging properties of wide-field optical systems. The pupil function of a microscope can be computationally estimated from the measured point spread function (PSF) using phase retrieval algorithms. The compaction of a 3D PSF into a 2D pupil function suppresses artefacts and measurement noise without resorting to rotational averaging. We show here that such 'phase-retrieved' pupil functions can reproduce features in the optical path, both near the sample and in the microscope. Unlike the PSF, the pupil function can be easily modified to include known aberrations, such as those induced by index-mismatched mounting media, simply by multiplying the pupil function by a calculated aberration function. PSFs calculated from such a modified pupil function closely match the corresponding measured PSFs collected under the aberrated imaging conditions. When used for image deconvolution of simulated objects, these phase-retrieved, calculated PSFs perform similarly to directly measured PSFs.

Algorithms↗

Analytically defined surfaces to analyze molecular interaction properties.

Molecular surfaces are widely used for characterizing molecules and displaying and quantifying their interaction properties. Here we consider molecular surfaces defined as isocontours of a function (a sum of exponential functions centered on each atom) that approximately represents electron density. The smoothness is advantageous for surface mapping of molecular properties (e.g., electrostatic potential). By varying parameters, these surfaces can be constructed to represent the van der Waals or solvent-accessible surface of a molecular with any accuracy. We describe numerical algorithms to operate on the analytically defined surfaces. Two applications are considered: (1) We define and locate extremal points of molecular properties on the surfaces. The extremal points provide a compact representation of a property on a surface, obviating the necessity to compute values of the property on an array of surface points as is usually done; (2) a molecular surface patch or interface is projected onto a flat surface (by introducing curvilinear coordinates) with approximate conservation of area for analysis purposes. Applications to studies of protein-protein interactions are described.

Computer Graphics↗

Solution structure of the fifth repeat of factor H: a second example of the complement control protein module.

Modules which share the same consensus sequence are assumed to have common structural features, at the secondary and tertiary level. In order to test the extent of such similarities, it is necessary to examine the structures of several examples from each module family. Recently, the first three-dimensional structure of a complement control protein (CCP) module (the 16th repeat of human factor H, H16) was determined using a combination of two-dimensional NMR and simulated annealing [Norman, D.G., Barlow, P.N., Baron, M., Day, A.J., Sim, R.B., & Campbell, I.D. (1991) J. Mol. Biol. 219, 717-725]. Using the same techniques, the three-dimensional structure of a second CCP module (the 5th repeat of human factor H, H5) has now been determined. The primary sequence of H5 contains 17 residues which are identical and in equivalent position to those in H16. Thirteen of these 17 are part of the consensus sequence. The similarities between the secondary structure of H5 and that of H16 are extensive. This implies that the consensus sequence dictates a particular secondary structure. The tertiary structure of H5, a compact hydrophobic core wrapped in beta-strand and sheet, bears much overall resemblance to that of H16. However, there is a deletion in the first strand of H5, and an insertion in a loop, resulting in slightly shorter overall length. This is associated with a rearrangement of residues within the hydrophobic core. The side chain of the highly conserved Tyr29, which occupies a central position within the core of H16, lies on the periphery of the core of H5.

Amino Acid Sequence↗

Symmetry effects in reversible random sequential adsorption on a triangular lattice.

Reversible random sequential adsorption of objects of various shapes on a two-dimensional triangular lattice is studied numerically by means of Monte Carlo simulations. The growth of the coverage rho(t) above the jamming limit to its steady-state value rho(infinity) is described by a pattern rho(t) = rho(infinity - deltarhoE(beta)[-(t/tau)beta], where E(beta) denotes the Mittag-Leffler function of order beta element of (0, 1). The parameter tau is found to decay with the desorption probability P_ according to a power law tau = AP_(-gamma). The exponent gamma is the same for all shapes, gamma = 1.29 +/- 0.01, but the parameter A depends only on the order of symmetry axis of the shape. Finally, we present the possible relevance of the model to the compaction of granular objects of various shapes.

Journal Article↗

Improving the efficiency of speech audiometry: computer-based approach.

Speech audiometric measures were carried out on 981 patients using a computer-based system that permitted a comparison between two modes of signal presentation, manual and automatic. The manual mode, designed to simulate the pace of live-voice testing, allowed the presentation of speech signals at a rate dictated by the patient's response. The automatic mode, designed to simulate tape-player testing, fixed the interstimulus interval. A comparison of elapsed time for the completion of word recognition testing with phonetically balanced (PB) word lists showed that use of the manual mode resulted in increased efficiency. Testing time was reduced by an average of 22 percent. These results suggest that the clinical efficiency of speech audiometric testing can be enhanced by using a computer-based manual approach. The combination of digitally recorded speech stimuli with a computer-based manual approach may provide a useful compromise between the efficiency of live-voice testing and the signal consistency of magnetic-tape or compact-disc recordings.

Adolescent↗

Molecular cloning, characterization, and mapping of a full-length cDNA encoding human UDP-galactose 4'-epimerase.

Galactose metabolism in all organisms is catalyzed by three enzymatic steps: the galactokinase, galactose-1-phosphate uridyltransferase, and UDP galactose 4'-epimerase reactions. We report here the molecular cloning, characterization, and mapping of a full-length cDNA encoding human UDP-galactose 4'-epimerase (GALE). Our cDNA is 1488 bp long and matches the mRNA size of 1.5 kg detected in fibroblasts and lymphoblasts. The human GALE cDNA encodes a predicted protein of 348 amino acids with a molecular mass of 38,266. The human GALE enzyme is 87% identical to the rat protein, 53% identical to the homologous GAL10 protein from the yeast Kluyveromyces lactis, and 51% identical to the galE protein from the prokaryote Escherichia coli. This extraordinary degree of sequence identity has allowed us to build a homology model of the human protein based on the bacterial crystal structure. This predicted human structure is very similar to the E. coli galE enzyme, suggesting that both enzymes use similar mechanisms. The human gene encoding GALE maps, as expected, to a single locus on chromosome 1 and appears to be compact. The human GALE gene is structurally intact in 19 patients with epimerase-deficiency galactosemia, an inborn error of metabolism secondary to GALE deficiency. Therefore, we propose that this disorder is due to small mutations within the gene.

Amino Acid Sequence↗

Solution structure of the tissue-type plasminogen activator kringle 2 domain complexed to 6-aminohexanoic acid an antifibrinolytic drug.

The solution structure of a recombinant tissue-type plasminogen activator kringle 2 domain, complexed with the antifibrinolytic drug 6-aminohexanoic acid (6-AHA) was determined via 1H nuclear magnetic resonance spectroscopy and dynamical simulated annealing calculations. The structure determination is based on 610 intramolecular kringle 2 and 14 intermolecular kringle 2-6-AHA interproton distance restraints, as well as on 82 torsion angle restraints. Three sets of simulated annealing structures were computed from three different classes of starting structures: (1) random conformations devoid of disulfide bridges; (2) random conformations that contain correct disulfide bonds; and (3) a folded conformation modeled after the homologous prothrombin kringle 1 X-ray crystallographic structure. All three sets of structures are well defined, with averaged atomic root-mean-square deviations between individual structures and mean set structures of 0.77, 0.99 and 0.70 A for backbone atoms, and 1.36, 1.55 and 1.41 A for all atoms, respectively. Kringle 2 is an oblate ellipsoid with overall dimensions of approximately 34 A x 30 A x 17 A. It exhibits a compact globular conformation characterized by a number of turns and loop elements as well as by one right-handed alpha-helix and five (1 extended and 4 rudimentary) antiparallel beta-sheets. The extended beta-sheet exhibits a right-handed twist. Close van der Waals' contacts between the Cys22-Cys63 and Cys51-Cys75 disulfide bridges and the central hydrophobic core composed of the Trp25, Leu46, His48a and Trp62 side-chains are among the distinguishing features of the kringle 2 fold. The binding site for 6-AHA appears as a rather exposed cleft with a negatively charged locus defined by the Asp55 and Asp57 side-chains, and with an aromatic pocket structured by the Tyr36, Trp62, His64 and Trp72 side-chains. The Trp62 and His64 rings line the back surface of the pocket, while the Tyr36 and Trp72 rings confine it from two sides. The Trp62 and Trp72 indole rings conform a V-shaped groove. The methyl groups of Val35 also contribute lipophilic character to the ligand-interacting surface. It is suggested that the positively charged side-chains of Lys34 and, potentially, Arg69 may favor interactions with the carboxylate group of the ligand. The Trp25 and Tyr74 aromatic rings, although conserved elements of the binding site structure, seem not to undergo direct contacts with the ligand.

Amino Acid Sequence↗

An NMR-derived model for the solution structure of oxidized putidaredoxin, a 2-Fe, 2-S ferredoxin from Pseudomonas.

A model for the solution structure of oxidized putidaredoxin (Pdx), a 106-residue globular protein containing a Fe2S2 cluster, has been determined using homonuclear NMR methods. Pdx is the first of the class of Fe2S2Cys4 ferredoxins which act as electron-transfer partners for P-450 monooxygenases to be structurally characterized, and no crystal structure has been determined for Pdx or for any closely homologous protein. Pdx is the physiological redox partner of cytochrome P-450cam. A total of 878 NOE distance constraints, 66 phi angular constraints derived from NH-C alpha H coupling constants, and five paramagnetic broadening constraints were used in simulated annealing structural refinements to obtain a family of structures with pairwise rms deviations of 1.14 A for backbone atoms and 1.80 A for all non-hydrogen atoms. Paramagnetic broadening of resonances within a ca. 8-A radius of the metal cluster prevents the use of NMR-derived constraints in this region of the protein; structural constraints used to model the environment of the metal cluster were obtained from site-directed mutagenesis and model compounds and by comparison with known ferredoxin structures. Pdx retains a similar folding topology to other structurally characterized Fe2S2Cys4 ferredoxins but differs from the other ferredoxins in containing a significantly more compact structure in the C-terminal half of the protein.

Amino Acid Sequence↗