Effects of polyethylene glycol and dextrans on immunoprecipitations: a two-cross immunodiffusion study

Precipitating titers and immunochemical titers obtained in a wide range of antigen-to-antibody concentration ratios by the two-cross immunodiffusion technique are compared with the corresponding laser light scatter precipitin curves. The two-cross immunodiffusion technique has also been applied to investigate whether polyethylene glycol of molecular mass 6000 and dextrans of molecular masses from 10,000 to 2,000,000 enhance the immunoprecipitation processes of the system human serum IgG-rabbit immune serum at pH 5.5 and 8.1 at 20 degrees C. It was found that the significant increase of precipitating titers of both precipitating components in the presence of polyethylene glycol is a consequence of a strong decrease of solubility of the primary antigen-antibody complex. The decrease of solubility does not affect the immunochemical titer of the immune serum, indicating stoichiometrical invariance of the precipitate at the equivalence. The apparent strong decrease of diffusion coefficients of both antigen and antibody in 20- and 40-g/liter polyethylene glycol solution is attributed to increase of viscosity of the solutions and to a partial self-association of protein molecules due to steric exclusion. In 40-g/liter polyethylene glycol solutions at pH 5.5 every fourth molecular entity of antigen and every third molecular entity of antibody are present in the form of a two-molecular self-associate, whereas in 20-g/liter polyethylene glycol solutions only 1% of antigen molecules and 8% of antibody molecules are associated. With the increase of pH to 8.1 the self-association of protein molecules is strongly further enhanced. Dextrans in 20-g/liter solutions, without regard to their relative molecular masses, do not influence precipitating titers and solubility of the antigen-antibody system at equivalence and do not enhance self-association of protein molecules. The strong decrease of diffusion coefficients of immunoglobulin G antigen and antibodies in dextran solutions is solely attributed to the increase of viscosity of the dextran solutions; hence there was no evidence of interaction of dextrans with serum IgG proteins.     

Effect of self-association on the structural organization of partially folded proteins: inactivated actin

The propensity to associate or aggregate is one of the characteristic properties of many nonnative proteins. The aggregation of proteins is responsible for a number of human diseases and is a significant problem in biotechnology. Despite this, little is currently known about the effect of self-association on the structural properties and conformational stability of partially folded protein molecules. G-actin is shown to form equilibrium unfolding intermediate in the vicinity of 1.5 M guanidinium chloride (GdmCl). Refolding from the GdmCl unfolded state is terminated at the stage of formation of the same intermediate state. An analogous form, known as inactivated actin, can be obtained by heat treatment, or at moderate urea concentration, or by the release of Ca(2+). In all cases actin forms specific associates comprising partially folded protein molecules. The structural properties and conformational stability of inactivated actin were studied over a wide range of protein concentrations, and it was established that the process of self-association is rather specific. We have also shown that inactivated actin, being denatured, is characterized by a relatively rigid microenvironment of aromatic residues and exhibits a considerable limitation in the internal mobility of tryptophans. This means that specific self-association can play an important structure-forming role for the partially folded protein molecules.     

NMR determination of the hetero-association of phenanthridines with daunomycin and their competitive binding to a DNA oligomer

500 MHz (1)H NMR spectroscopy has been used to determine thermodynamic and structural information on the hetero-association of daunomycin (DAU) with the phenanthridine mutagenic dyes ethidium bromide (EB) and propidium iodide (PI). The NMR complexation data have been analysed by a statistical-thermodynamic model which takes into account indefinite association for both the self-association of the drugs and their hetero-association. The results have been used to estimate the effect of the side chains of the phenanthridines on the competitive binding between DAU and the mutagens with DNA. Knowledge of the equilibrium constants for self-association of the phenanthridines and DAU, their hetero-association and their complexation with a DNA fragment, the deoxytetranucleotide 5'-d(TpGpCpA), enabled the relative content of each of the EB-DAU, PI-DAU, EB-DAU-d(TGCA) and PI-DAU-d(TGCA) complexes to be calculated as a function of drug concentration in mixed solutions. The results provide some insight into the molecular basis of the action of combinations of biologically-active molecules. When intercalating drugs are used in combination, it is found that the decrease in binding of drug or mutagen with DNA is due both to formation of drug-mutagen hetero-association complexes in the mixed solution and to competition for the binding sites by the aromatic molecules; the relative importance of each process depends on the molecular properties of the drug or mutagen molecules being considered. Thus, the longer branched side chain of PI and the electrostatic contribution of the extra positive charge of the molecule compared with the ethyl group of EB results in lower affinity for self-association of PI molecules and their hetero-association with DAU, but increases the degree of binding of PI with DNA.     

Protein self-association in crowded protein solutions: a time-resolved fluorescence polarization study

The self-association equilibrium of a tracer protein, apomyoglobin (apoMb), in highly concentrated crowded solutions of ribonuclease A (RNase A) and human serum albumin (HSA), has been studied as a model system of protein interactions that occur in crowded macromolecular environments. The rotational diffusion of the tracer protein labeled with two different fluorescent dyes, 8-anilinonaphthalene-1-sulfonate and fluorescein isothiocyanate, was successfully recorded as a function of the two crowder concentrations in the 50-200 mg/mL range, using picosecond-resolved fluorescence anisotropy methods. It was found that apoMb molecules self-associate at high RNase A concentration to yield a flexible dimer. The apparent dimerization constant, which increases with RNase A concentration, could also be estimated from the fractional contribution of monomeric and dimeric species to the total fluorescence anisotropy of the samples. In contrast, an equivalent mass concentration of HSA does not result in tracer dimerization. This different effect of RNase A and HSA is much larger than that predicted from simple models based only on the free volume available to apoMb, indicating that additional, nonspecific interactions between tracer and crowder should come into play. The time-resolved fluorescence polarization methods described here are expected to be of general applicability to the detection and quantification of crowding effects in a variety of macromolecules of biological relevance.     

Interactions of lens proteins. Ultrafiltration is unsuitable to detect self- or mixed-association

Crystallins from calf lens were subjected to ultrafiltration through an Amicon XM-300 membrane to determine whether specific interactions between identical proteins (self-association) or different proteins (mixed-association) could be detected and quantified. Single crystallins at different concentrations, simple mixtures and total lens extracts were studied separately. alpha-Crystallin (Mr 800 000) is nearly fully retained (greater than 95%) by XM-300. Retention of beta-crystallins (Mr 50 000-200 000) is found to be much higher than expected from their molecular weights. Ultrafiltration of gamma-crystallin (Mr 20 000) solutions of 1.0-22.6 g/l shows that retention increases as a function of protein concentration. In solutions of single crystallins, self-association effects could not be separated from concentration polarization effects at the membrane surface. In mixtures of crystallins, mixed-association could not be separated from self-association, concentration polarization and excluded volume effects on self-association.     

Hidden self-association of proteins

Sedimentation equilibrium measurements were carried out on solutions of bovine serum albumin, aldolase, and ovalbumin in phosphate-buffered saline, pH 7.2, at 10 degrees C. The data obtained for each protein were analyzed to yield the dependence of apparent weight-average molecular weight upon protein concentration, over a concentration range of ca 1-200 g/L. Using the approximate theory of Chatelier and Minton [1987) Biopolymers 26, 507-524), models are formulated for the dependence of apparent weight-average molecular weight upon concentration in non-ideal solutions containing proteins which may self-associate according to a monomer/n-mer or a monomer/dimer/tetramer scheme. The concentration dependence data for serum albumin may be accounted for, assuming either no self-association or weak monomer/dimer association. The data for aldolase may be accounted for assuming either weak monomer/dimer or weak monomer/trimer association. The data for ovalbumin may be accounted for assuming either weak monomer/trimer or weak monomer/dimer/tetramer association. The associations do not approach saturation at the highest concentrations studied, and the standard-state free energy changes accompanying self-association amount to less than 4 kcal/mol of intermolecular contacts, suggesting that non-specific clustering of protein molecules at high concentration rather than the formation of specific complexes is being observed.     

Self-association of herpes simplex virus type 1 ICP35 is via coiled-coil interactions and promotes stable interaction with the major capsid protein.

The ordered copolymerization of viral proteins to form the herpes simplex virus (HSV) capsid occurs within the nucleus of the infected cell and is a complex process involving the products of at least six viral genes. In common with capsid assembly in double-stranded DNA bacteriophages, HSV capsid assembly proceeds via the assembly of an outer capsid shell around an interior scaffold. This capsid intermediate matures through loss of the scaffold and packaging of the viral genomic DNA. The interior of the HSV capsid intermediate contains the viral protease and assembly protein which compose the scaffold. Proteolytic processing of these proteins is essential for and accompanies capsid maturation. The assembly protein (ICP35) is the primary component of the scaffold, and previous studies have demonstrated it to be capable of intermolecular association with itself and with the major capsid protein, VP5. We have defined structural elements within ICP35 which are responsible for intermolecular self-association and for interaction with VP5. Yeast (Saccharomyces cerevisiae) two-hybrid assays and far-Western studies with purified recombinant ICP35 mapped a core self-association domain between Ser165 and His219. Site-directed mutations in this domain implicate a putative coiled coil in ICP35 self-association. This coiled-coil motif is highly conserved within the assembly proteins of other alpha herpesviruses. In the two-hybrid assay the core self-association domain was sufficient to mediate stable self-association only in the presence of additional structural elements in either N- or C-terminal flanking regions. These regions also contain conserved sequences which exhibit a high propensity for alpha helicity and may contribute to self-association by forming additional short coiled coils. Our data supports a model in which ICP35 molecules have an extended conformation and associate in parallel orientation through homomeric coiled-coil interactions. In additional two-hybrid experiments we evaluated ICP35 mutants for association with VP5. We discovered that in addition to the C-terminal 25 amino acids of ICP35, previously shown to be required for VP5 binding, an additional upstream region was required. This region is between Ser165 and His234 and contains the core self-association domain. Site-directed mutations and construction of chimeric molecules in which the self-association domain of ICP35 was replaced by the GCN4 leucine zipper indicated that this region contributes to VP5 binding through mediating self-association of ICP35 and not through direct binding interactions. Our results suggest that self-association of ICP35 strongly promotes stable association with VP5 in vivo and are consistent with capsid formation proceeding via formation of stable subassemblies of ICP35 and VP5 which subsequently assemble into capsid intermediates in the nucleus.     

HIV Rev self-assembly is linked to a molten-globule to compact structural transition

By regulating the differential expression of proviral pre mRNA in the host cell, Rev plays a crucial role in the HIV-1 life cycle. The capacity of Rev to function is intimately linked to its ability to self-associate. Nevertheless, little is known about the exact role of self-association in the molecular mechanism defining its biological activity. A prerequisite knowledge is a definition of the molecular events undertaken by Rev during the process of self-assembly. Thus, this study was initiated to monitor the structure of Rev as a function of protein concentration. Rev undergoes a structural transition as a consequence of self-assembly. This structural transition was monitored by three spectroscopic methods. The accessibility of the single tryptophan in Rev monomer to acrylamide quenching increases with decreasing protein concentration. At very low concentration of Rev, the tryptophan accessibility is close to that of an unfolded Rev. As evaluated by circular dichroism, the secondary structure of Rev is protein concentration dependent as evidenced by an increase in the magnitude of ellipticity with increasing protein concentration. Further, results from ANS binding studies indicate that the ANS binding sites in Rev experience an apparent increase in hydrophobicity as the Rev concentration was increased. These concentration dependent changes seem to reach a maximum above 5 microM Rev monomer concentration. In order to define the mode of Rev self-association sedimentation velocity and equilibrium experiments were conducted. There are evidently two consecutive progressive association processes. At protein concentrations below 0.5 mg/ml, the data from sedimentation studies can be fitted to a single isodesmic model. Simulation of velocity sedimentation profile indicates that free Rev monomer that has not entered into the association processes can best be described to exhibit a value of S(20,w) that is substantially smaller than 1.4 S, a value needed to fit the rest of the data. The latter value is consistent for a Rev monomer with the expected molecules weight and if it were to assume a compact globular shape. These spectroscopic and hydrodynamic results imply that monomeric Rev is in a molten globule state, which becomes more compact upon self-association.     

Compaction and particle segregation in myelin membrane arrays

Compacted membrane arrays are formed in the nerve myelin sheath by lowering the water activity (through evaporation or immersion in hypertonic solutions of nonelectrolytes or monovalent salts) or by binding specific cations (Ca(++), La(+++), and tetracaine at concentrations above 5-10 mM). X-ray diffraction observations on intact, hydrated nerves treated to induce compaction provide a control to assess the significance of structural changes seen by freeze-fracture electron microscopy. Compaction inevitably leads to lateral segregation of particles away from the closely packed membrane arrays into contiguous normal, or slightly expanded, period arrays. In the particle-enriched layers, the E fracture face is more particle-dense than the P face, whereas no particles are found on either face in the compacted layers. Morphologically, compaction induced by the all-or-nothing, relatively irreversible action of specific cations cannot be distinguished from compaction to the same extent induced by the graded, reversible effects of nonelectrolytes. Compaction by sodium chloride resembles that by specific- cation binding in that the repeat period is independent of reagent concentration; but, like dehydration by nonelectrolytes, the extent of compaction is reversibly related to reagent concentration. Sodium chloride-compacted myelin can be distinguished morphologically by a lack of the elongated border particles at the boundary between smooth and particle-enriched membrane observed for other compacting treatments. Fracture faces in compacted arrays are not always smooth, but the unusual appearances can be duplicated in purified myelin lipid multilayers subjected to similar treatments, which indicates that the particle-free membrane fracture faces are uninterrupted lipid hydrocarbon layers. Correlation of x-ray diffraction and electron microscopy observations provides a direct basis for identifying the intramembrane particles with transmembrane protein. The transmembrane protein appears to play a significant role in maintaining the normal membrane separation; swelling of the particle-enriched arrays in myelin compacted by tetracaine at low ionic strength provides information about the charge distribution on the transmembrane protein. Swelling of the compacted arrays following irreversible particle segregation shows that the interaction properties of the particle-free membranes are similar to those of pure lipid multilayers. Compaction and the consequent particle segregation in lyelin results from conditions stabilizing close apposition of the lipid bilayers. Particle segregation in areas of close contact between other cell membranes may also be driven by interbilayer attractive forces.     

Supramolecularity creates nonstandard protein ligands

Congo red and a group of structurally related dyes long used to stain amyloid proteins are known to associate in water solutions. The self-association of some dyes belonging to this group appears particularly strong. In water solutions their molecules are arranged in ribbon-like micellar forms with liquid crystalline properties. These compounds have recently been found to form complexes with some native proteins in a non-standard way. Gaps formed by the local distribution of beta-sheets in proteins probably represent the receptor sites for these dye ligands. They may result from higher structural instability in unfolding conditions, but also may appear as long range cooperative fluctuations generated by ligand binding. Immunoglobulins G were chosen as model binding proteins to check the mechanism of binding of these dyes. The sites of structural changes generated by antigen binding in antibodies, believed to act as a signal propagated to distant parts of the molecule, were assumed to be suitable sites for the complexation of liquid-crystalline dyes. This assumption was confirmed by proving that antibodies engaged in immune complexation really do bind these dyes; as expected, this binding affects their function by significantly enhancing antigen binding and simultaneously inhibiting C1q attachment. Binding of these supramolecular dyes by some other native proteins including serpins and their natural complexes was also shown. The strict dependence of the ligation properties on strong self-assembling and the particular arrangement of dye molecules indicate that supramolecularity is the feature that creates non-standard protein ligands, with potential uses in medicine and experimental science.     

Structural properties of the protein SV-IV.

We have investigated the molecular mechanisms that produce different structural and functional behavior in the monomeric and trimeric forms of seminal vesicle protein no. 4, a protein with immunomodulatory, anti-inflammatory, and procoagulant activity secreted from the rat seminal vesicle epithelium. The monomeric and trimeric forms were characterized in solution by CD. Details of the self-association process and structural changes that accompany aggregation were investigated by different experimental approaches: trypsin proteolysis, sequence analysis, chemical modification, and computer modeling. The self-association process induces conformational change mainly in the 1-70 region, which appears to be without secondary structure in the monomer but contains alpha-helix in the trimer. In vivo, proteolysis of seminal vesicle protein no. 4 generates active peptides and this is affected by the monomer/trimer state, which is regulated by the concentration of the protein. The information obtained shows how conformational changes between the monomeric and trimeric forms represent a crucial aspect of activity modulation.     

Hetero-association of caffeine and aromatic drugs and their competitive binding with a DNA oligomer

NMR spectroscopy has been used to elucidate the molecular basis of the action of caffeine (CAF) on the complexation with DNA of mutagens such as ethidium bromide, propidium iodide, proflavine and acridine orange, and anticancer drugs such as actinomycin D and daunomycin. The hetero-association of CAF and each of the aromatic ligands in 0.1 mol L(-1) phosphate buffer (pD=7.1) has been investigated as a function of concentration and temperature by 500 MHz 1H NMR spectroscopy and analysed in terms of a statistical-thermodynamic model, in which molecules form indefinite aggregates for both self-association and hetero-association. The analysis leads to determination of the equilibrium constants of hetero-association and to the values of the limiting chemical shifts of the heteroassociation of CAF with each of the aromatic molecules. The hetero-association constants between CAF and each of the aromatic drugs/dyes are found to be intermediate in magnitude between those for self-association of CAF and the corresponding drug/dye. The most probable structures of the 1:1 CAF + ligand hetero-association complexes have been determined from the calculated values of the induced limiting chemical shifts of the drug protons. Knowledge of the equilibrium constants for self-association of CAF and the aromatic ligands, for their hetero-association and their complexation with a DNA fragment, the deoxytetranucleotide 5'-d(TpGpCpA), enabled the relative content of each of the CAF-ligand and CAF-ligand-d(TGCA) complexes to be calculated as a function of CAF concentration in mixed solutions. It is concluded that, on addition of CAF to the solution, the decrease in binding of drug or mutagen with DNA is due both to competition for the binding sites by CAF and the aromatic molecules, and to formation of CAF-ligand hetero-association complexes in the mixed solution; the relative importance of each process depends on the drug or mutagen being considered.     

The pH dependence of CD2 domain 1 self-association and 15N chemical exchange broadening is correlated with the anomalous pKa of Glu41

We have previously shown using (15)N nuclear relaxation measurements that the concentration-dependent rotational correlation time and chemical exchange broadening for selected resonances of rat CD2 domain 1 (CD2d1) are consistent with a model of low-affinity self-association of the protein molecules. The exchange broadening data, which at high protein concentrations highlight selected nuclei in the major C'-C-F-G beta-sheet face of the immunoglobulin fold, implicate a surface reminiscent of the major lattice contact within crystals of the intact CD2 ectodomain. In a separate study, we have also demonstrated that the beta-strand C' surface-exposed residue Glu41 possesses an anomalously elevated acidity constant (pK(a) = 6.7 at a protein concentration of 1.2 mM). Mutagenesis studies showed that the close contact of residue Glu41 with Glu29 (beta-strand C) is the primary cause of the high pK(a). However, the measured pK(a) of Glu41 also shows a weak dependence on protein concentration, implicating Glu41 in the mechanism of CD2d1 self-association. In the study presented here, we demonstrate a correlation of the pH dependence of the chemical shift and (15)N nuclear relaxation parameters measured for wild-type and mutant forms of CD2d1 with pH and the protonation state of Glu41. Self-association of CD2d1 molecules is promoted whenever the side chain charge of residue 41 is neutralized. These observations are consistent with a model for CD2d1 self-association that corresponds to the crystal structure lattice contact where the interatomic distances are consistent with Glu41 being in the protonated state. This study reinforces the conclusion that residue-specific chemical exchange broadening of protein resonances can arise from weak self-association phenomena. In addition, the electrostatic profile of rat CD2 interfacial residues parallels that of the homologous human CD2 in a manner that suggests a rationalization of similar exchange broadening observations.     

Studies on the physical state of water in living cells and model systems. X. The dependence of the equilibrium distribution coefficient of a solute in polarized water on the molecular weights of the solute: experimental confirmation of the "size rule" in model studies

The equilibrium distribution of 14 sugars, sugar alcohols, and other nonelectrolytes in solutions of polyethylene oxide (PEO) and of native and alkali-denatured bovine hemoglobin were studied over wide concentration ranges. The results show that the equilibrium concentrations of all the solutes studies are rectilinearly related to their external concentrations. This straight-line relationship demonstrates the existence of these solutes entirely or almost entirely in the aqueous phase of these systems. Therefore the slope of each of these straight lines equals the equilibrium distribution coefficient or q-value of the solute involved. In general, the q-values decrease with increasing molecule weights (M.W.) of the solutes in 15% solutions of PEO, 20% solutions of alkali-denatured hemoglobin (and in 18% gelatin) but not in 39% solution of native hemoglobin. In solutions of PEO, of alkali-denatured hemoglobin studied (and of gelatin) a fraction of the water (20% to 30%) appears to have solvency similar to that of normal liquid water. The experimental findings of M.W.-dependent solute exclusion were discussed in the light of four alternative theories that have been offered to explain this type of phenomena. Among these four theories only the polarized multilayer theory agrees with most, if not all the facts known.     

Self-interaction of native and denatured lysozyme in the presence of osmolytes,l-arginine and guanidine hydrochloride

Osmolyte molecules such as betaine and trehalose are protein stabilizers while l-arginine (Arg) and guanidine hydrochloride (GdnHCl) are the most widely used aggregation suppressor in protein refolding. We have herein studied the effects of the osmolyte molecules and l-arginine together with GdnHCl (0–6 mol/L) on the intermolecular interaction of native and denatured lysozyme by self-interaction chromatography. The self-interaction is characterized in terms of the osmotic second virial coefficient (B) of the protein, the increase of which represents the decrease of intermolecular attraction of the protein. It is found that the effect of Arg on the self-interaction of lysozyme is similar with GdnHCl, but its competence is much weaker than the denaturant. At higher GdnHCl concentrations (>0.5 mol/L), Arg can be used to suppress the self-association of lysozyme. In contrast to Arg, B increases with increasing betaine or trehalose concentration at the GdnHCl concentration range studied. The results indicate the cooperativity of each osmolyte with GdnHCl, and the different mechanisms of their effects from Arg on the B values. The work confirms that the osmolytes are not only protein stabilizers, but also protein aggregation suppressors for both native and denatured protein molecules.     

Bovine serum albumin in lithium chloride solutions.

The effects of li+ and H3O+ on the conformation of bovine serum albumin in azqueous solutions at room temperature are compared. At low pH (high concentration of H3O+) the change in conformation of the protein is demonstrated by an increase in effective volume, a decrease in helical content and a blue shift of tyrosyl residue. A similar change is observed for the protein in highly concentrated LiC1 solution (6.0-7.0M) at neutral pH. However, the H3O+ is 12,000 times more powerful than the Li+ in destabilizing the protein molecule. This is consistent with their thermodynamic and kinetic properties, since the H3O+ is often different from the Li+ in several orders of magnitude. While the changes in structural properties of the protein are almost identical in both the acidic solution and the highly concentrated LiC1 solution, further study using dioxane as a probe suggests different mechanisms under which the changes occur. The effect of H3O+ is related to electrostatic force, whereas the effect of Li+ is related to both the electrostatic hydrophobic forces. These two major forces are believed to be responsible for the conformation of protein molecules.     

In vitro collagen fibril assembly in glycerol solution: evidence for a helical cooperative mechanism involving microfibrils

Glycerol inhibits the in vitro self-association of monomeric collagen into fibrils and induces the dissociation of fibrils preassembled from NaBH4-reduced collagen. These effects were investigated in an effort to understand the mechanism of fibril assembly of the protein. In PS buffer (0.03 M NaPi and 0.1 M NaCl, pH 7.0) containing 0.1-1.0 M glycerol, the self-association of type I collagen from calf skin took place only if the protein concentration was above a critical value. This critical protein concentration increased with increasing glycerol concentration. Velocity sedimentation studies showed that below the critical protein concentration and under fibril assembly conditions, the collagen was predominantly in a monomeric state. Electron microscopic examinations revealed that the collagen aggregates formed above the critical concentration consisted mostly of microfibrils of 3-5-nm diameter along with some banded fibrils were found. Collagen treated with pepsin to remove its nonhelical telopeptides also self-associated into microfibrils and fibrils in the presence of glycerol, but the reaction did not exhibit any critical concentration. These results are consistent with a mechanism of in vitro collagen fibril assembly which involves the initial formation of microfibrils through a helical cooperative mechanism. They also suggest that contacts of the nonhelical telopeptides of each collagen with its neighboring molecules provide the necessary negative free energy change for the cooperativity and that subsequent lateral association of the microfibrils leads to banded fibrils.     

Study of self-association of molecules of deoxyhexanucleotides 5'-d(CpGpTpApCpG) and 5'-d(CpGpCpGpCpG) in water solutions by NMR

The self-association of deoxyribohexanucleoside pentaphosphates 5'-d(CpGpTpApCpG) and 5'-d(CpGpCpGpCpG) in aqueous salt solutions was studied by 1 D- and 2 D homonuclear PMR and heteronuclear 1H-31P-spectroscopies. Signals from nonexchangeable protons of hexamers in NMR spectra were assigned using the available 2M-TOCSY, 2M-NOESY, and 1H-31P-(HMBS) spectra. The dependences of proton chemical shifts of deoxyhexanucleotides on concentration and temperature were measured. In terms of the two-states model (monomer-duplex), constants and thermodynamic parameters of self-association of hexamer molecules in solution were obtained based on these dependences. The values obtained correlate well with theoretical values calculated using the model of the "nearest neighbor" for the formation of duplexes of sequences d(CGTACG) and d(CGCGCG).     

Application of information theory to feature selection in protein docking

In the era of structural genomics, the prediction of protein interactions using docking algorithms is an important goal. The success of this method critically relies on the identification of good docking solutions among a vast excess of false solutions. We have adapted the concept of mutual information (MI) from information theory to achieve a fast and quantitative screening of different structural features with respect to their ability to discriminate between physiological and nonphysiological protein interfaces. The strategy includes the discretization of each structural feature into distinct value ranges to optimize its mutual information. We have selected 11 structural features and two datasets to demonstrate that the MI is dimensionless and can be directly compared for diverse structural features and between datasets of different sizes. Conversion of the MI values into a simple scoring function revealed that those features with a higher MI are actually more powerful for the identification of good docking solutions. Thus, an MI-based approach allows the rapid screening of structural features with respect to their information content and should therefore be helpful for the design of improved scoring functions in future. In addition, the concept presented here may also be adapted to related areas that require feature selection for biomolecules or organic ligands.