Structural stability of disulfide mutants of basic pancreatic trypsin inhibitor: A molecular dynamics study

The structure and folding of basic pancreatic trypsin inhibitor (BPTI) has been studied extensively by experimental means. We report a computer simulation study of the structural stability of various disulfide mutants of BPTI, involving eight 250-psec molecular dynamics simulations of the proteins in water, with and without a phosphate counterion. The presence of the latter alters the relative stability of the single disulfide species [5–55] and [30–51]. This conclusion can explain results of mutational studies and the conservation of residues in homologues of BPTI, and suggests a possible role of ions in stabilizing one intermediate over another in unfolding or folding processes. © 1996 Wiley-Liss, Inc.     

Polymers of intrinsic microporosity for gas permeation: a molecular simulation study

We report a molecular simulation study for gas permeation in two membranes constructed from polymers of intrinsic microporosity (PIM-1 and PIM-7). With rigid ladder polymer chains, the membranes posses approximately 47.7 and 46.6% fractional free volumes (FFVs) in PIM-1 and PIM-7, respectively. The voids in the membranes have a diameter up to 9 Å and are largely interconnected. The sorption and diffusion of four gases (H₂, O₂, CH₄ and CO₂) were calculated by Monte Carlo and molecular dynamics simulations. The solubility coefficients increase in the order of H₂ < O₂ < CH₄ < CO₂, while the diffusion coefficients increase in the following order: CH₄ < CO₂ < O₂ < H₂. The simulation results agree well with experimental data, particularly for the solubility coefficients. The solubility and diffusion coefficients correlate well separately with the critical temperatures and effective diameters of gases. These molecular-based correlations can be used in the prediction for other gases. As attributed to the microporous structure, PIM-1 and PIM-7 outperform most glassy polymeric membranes in sorption and diffusion. PIM-1 has larger solubility and diffusion coefficients than PIM-7 because the cyano groups in PIM-1 lead to a stronger affinity and a larger FFV. The simulated solubility, diffusivity and permeation selectivities of CO₂/H₂, CO₂/O₂ and CO₂/CH₄ are consistent with experimental data. The quantitative microscopic understanding of gas permeation in the PIM membranes is useful for the new development of high-performance membranes.     

An Effective Solvation Term Based on Atomic Occupancies for Use in Protein Simulations

Abstract

Several approaches to the treatment of solvent effects based on continuum models are reviewed and a new method based on occupied atomic volumes (occupancies) is proposed and tested. The new method describes protein-water interactions in terms of atomic solvation parameters, which represent the solvation free energy per unit of volume. These parameters were determined for six different atoms types, using experimental free energies of solvation. The method was implemented in the GROMOS and PRESTO molecular simulation program suites. Simulations with the solvation term require 20-50% more CPU time than the corresponding vacuum simulations and are approximately 20 times faster than explicit water simulations. The method and parameters were tested by carrying out 200 ps simulations of BPTI in water, in vacuo, and with the solvation term. The performance of the solvation term was assessed by comparing the structures and energies from the solvation simulations with the equivalent quantities derived from several BPTI crystal structures and from the explicit water and vacuum simulations. The model structures were evaluated in terms of exposed total surface, buried and exposed polar surfaces, secondary structure preservation, number of hydrogen bonds, energy contributions, and positional deviations from BPTI crystal structures. Vacuum simulations produced unrealistic structures with respect to all criteria applied. The structures resulting from the simulations with explicit water were closer to the 5PTI crystal structure, although part of the secondary structure dissolved. The simulations with the effective solvation term produce structures that are normal according to all evaluations and in most respects are remarkably similar to the 5PTI crystal structure despite considerable positional fluctuations during the simulations. The segments where the model and crystal structures differ are known to be flexible and the observed difference may be physically realistic. The effective solvation term based on occupancies is not only very efficient in terms of computer time but also results in meaningful structural properties for BPTI. It may therefore be generally useful in molecular dynamics of macromolecules.     

Environmental constraints in the study of flexible segments of proteins

The structural problem posed by ill-defined segments in protein structures is similar to those encountered in the study of most peptide hormones, with terminal tracts resembling linear peptides and loops resembling cyclic peptides. The conformational preferences of short linear peptides in solution can be influenced by the use of solvent mixtures of viscosity higher than that of pure water but comparable to that of cytoplasm. In order to check whether it is possible to use these media in the structural study of proteins, we undertook an exploratory study on BPTI in a mixture of dimethylsulfoxide and water. The complete assignment of BPTI in an 80:20 (by volume) DMSO-d ₆/water cryomixture at two temperatures showed that all resonances parallel those in water, hinting at the persistence of the correct protein architecture, which is also confirmed by NOESY experiments. In addition to the NOEs present in the aqueous solution it was possible to detect numerous new cross peaks, in particular from residues belonging to the less-defined regions. The new cross peaks do not originate from spin diffusion and are consistent with the best NMR structure and with the X-ray structures of BPTI.     

Structure,stability and water permeation of ([D-Leu-L-Lys-(D-Gln-L-Ala)3]) cyclic peptide nanotube: a molecular dynamics study

The structural stability of 8 × ([D-Leu-L-Lys-(D-Gln-L-Ala)₃]) cyclic peptide nanotube (CPN) in water and different phospholipid bilayers were explored by 100 ns independent molecular dynamics (MD) simulations. The role of non-bonded interaction energy between the side and main chains of cyclic peptide rings in different membrane environments assessed, wherein the repulsive electrostatic interaction energy between neighbouring cyclic peptide rings was found adequate to break hydrogen bond energy thereby to crumple CPN. Further, the water permeation across the CPN channel was studied in four types of phospholipid bilayers- DMPG (1,2-Dimyristoyl-sn-glycero-3-phosphorylglycerol), DMPS (1,2-Dimyristoyl-sn-glycero-3-phosphoserine), POPC (1-Palmitoyl-2-oleoyl-sn-glycero-3-phosphocholine) and POPE (1-Palmitoyl-2-oleoyl-sn-glycero-3-phosphoethanolamine) from MD simulations. DMPS membrane shows higher non-bonded interaction energies (?1913.06 kJ/mol of electrostatic interaction energy and ?994.13 kJ/mol of van der Waals interaction energy) with CPN due to the presence of polar molecules in lipid structure. Thusly, the non-bonded interaction energies were essential towards the stability of CPN than hydrogen bonds between the nearby cyclic peptides. The result also reveals the role of side chains, hydrogen bonds and non-bonded interaction energies in an aqueous environment. The diffusion coefficient of water obtained from means square deviation calculation shows similar coefficients irrespective of the lipid surroundings. However, the permeation coefficients demonstrate water flow in the channel relies upon the environment.     

Significant role of electrostatic interactions for stabilization of protein assemblies

Contribution of electrostatic interactions to stability of BPTI orthorhombic, pig-insulin cubic crystals, and horse L ferritin crystals was evaluated with numerical calculation of Poisson-Boltzmann equation based on a dielectric model. The stability of a ferritin molecule (24-mer) composed of 24 subunits was also evaluated. It was found that the surface charge-charge interactions at separation distances (< 5 Å) were insensitive to variations in the ionic strength, and thus stabilized assembled states of the proteins (i.e., crystalline state and oligomeric state). It was also revealed that the charge density and the packing of the protein crystals were largely responsible for the ionic strength dependence of the crystal stability. The stability of the 5PTI crystalline state with a high charge density drastically increased as the concentration of the solvent ions increased. In contrast, that of the insulin crystal with a low charge density and large solvent region was insensitive to changes in the ionic concentration. The electrostatic interaction between ferritin 24-mers was attributed to two salt bridges mediated by Cd ion. For the stability of the ferritin 24-mer, which is evolutionally designed, the electrostatic stabilization between the subunits was attributed to polar bonds such as buried salt bridges or hydrogen bonds, which occasionally yielded more than 5 kcal/mol and were numerous and very strong compared with the bonds between molecules in the 5PTI and 9INS crystals.By analyzing the atomic charge-charge interactions in detail, it was found that charge pairs separated by less than 3 Å, such as hydrogen bonds, dominantly stabilize the assembled states, and that pairs 3 to 5 Å apart were also important. The stability of the assembled states evaluated by the total EET was determined by the fine balance between the two competing contributions arising from the stabilizing atoms and the destabilizing atoms.Changes of the ASA and hydration free energy were also evaluated in accordance with the process of the subunit assembly. The change of hydration free energy, which was very large (i.e., ~+ 100 kcal/mol/subunit) and unfavorable for the assembly, was proportional to the electrostatic hydration energy (i.e., Born energy change in the hydration process). Hydrophobic groups were likely to appear more frequently than hydrophilic groups at the interfaces.This study offers a method which can improve the stability of protein crystals by introducing polar or charged residues that are properly designed to form specific hydrogen bonds or salt bridges between neighboring protein molecules. This method is also applicable to crystallography, because it improves refinement of protein structures in crystals by taking the inter-protein interactions into account.     

On the pH dependence of amide proton exchange rates in proteins.

We have analyzed the pH dependencies of published amide proton exchange rates (kex) in three proteins: bovine pancreatic trypsin inhibitor (BPTI), bull seminal plasma proteinase inhibitor IIA (BUSI IIA), and calbindin D9K. The base-catalyzed exchange rate constants (kOH) of solvent exposed amides in BPTI are lower for residues with low peptide carbonyl exposure, showing that the environment around the carbonyl oxygen influences kOH. We also examined the possible importance of an exchange mechanism that involves formations of imidic acid intermediates along chains of hydrogen-bonded peptides in the three proteins. By invoking this "relayed imidic acid exchange mechanism," which should be essentially acid-catalyzed, we can explain the surprisingly high pHmin (the pH value at which kex reaches a minimum) found for the non-hydrogen-bonded amide protons in the beta-sheet in BPTI. The successive increase of pHmin along a chain of hydrogen-bonded peptides from the free amide to the free carbonyl, observed in BPTI, can be explained as an increasing contribution of the proposed mechanism in this direction of the chain. For BUSI IIA (pH 4-5) and calbindin D9K (pH 6-7) the majority of amide protons with negative pH dependence of kex are located in chains of hydrogen-bonded peptides; this situation is shown to be consistent with the proposed mechanism.     

Orientational order and dynamics of hydration water in a single crystal of bovine pancreatic trypsin inhibitor.

The orientational order and dynamics of the water molecules in form II crystals of bovine pancreatic trypsin inhibitor (BPTI) are studied by (2)H NMR in the temperature range 6-50 degrees C. From the orientation dependence of the single crystal quadrupole splitting and linewidth, the principal components of the motionally averaged quadrupole interaction tensor and the irreducible linewidth components for the orthorhombic crystal are determined. With the aid of water orientations derived from neutron and x-ray diffraction, it is shown that the NMR data can be accounted for by a small number of highly ordered crystal waters, some of which have residence times in the microsecond range. Most of these specific hydration sites must be located at intermolecular contacts. The surface hydration layer that is also present in dilute solution is likely to be only weakly ordered and would then not contribute significantly to the splitting and linewidth from the protein crystal. To probe water dynamics on shorter time scales, the (2)H longitudinal relaxation dispersion is measured for a polycrystalline BPTI sample. The observed dispersion is dominated by rapidly exchanging deuterons in protein side chains, undergoing restricted rotational motions on a time scale of 10 ns.     

Reduced BPTI is collapsed. A pulsed field gradient NMR study of unfolded and partially folded bovine pancreatic trypsin inhibitor.

Pulsed field gradient NMR was used to measure the hydrodynamic behavior of unfolded variants of bovine pancreatic trypsin inhibitor (BPTI). The unfolded BPTI species studied were [R]Abu, at pH 4.5 and pH 2.5, and unfolded [14-38]Abu, at pH 2.5. These were prepared by chemical synthesis. [R]Abu is a model for reduced BPTI; all cysteine residues are replaced by alpha-amino-n-butyric acid (Abu). [14-38]Abu retains cysteines 14 and 38, which form a disulfide bond, while the other cysteine residues are replaced by Abu. In the PFG experiments, the diffusion coefficient is measured as a function of protein concentration, and the value of D degree -the diffusion coefficient extrapolated to infinite dilution-is determined. From D degree, a value of the hydrodynamic radius. Rh, is computed from the Stokes-Einstein relationship. At pH 4.5, [R]Abu has an Rh value significantly less than the value calculated for a random coil, while at pH 2.5 the experimental Rh value is the same as for a random coil. In view of the changes in NMR detected structure of [R]Abu at pH 4.5 versus pH 2.5 (Pan H, Barbar E, Barany G, Woodward C. 1995. Extensive non-random structure in reduced and unfolded bovine pancreatic trypsin inhibitor. Biochemistry 34:13974-13981), the collapse of reduced BPTI at pH 4.5 may be associated with the formation of non-native hydrophobic clusters of pairs of side chains one to three amino acids apart in sequence. The diffusion constant of [14-38]Abu was also measured at pH 4.5, where the protein is partially folded. An increase in hydrodynamic radius of partially folded [14-38]Abu, relative to native BPTI, is similar to the increase in radius of gyration measured for other proteins under "molten globule" conditions.     

Estimation of Water Diffusion Coefficients in Freeze-Concentrated Matrices of Sugar Solutions Using Molecular Dynamics: Correlation Between Estimated Diffusion Coefficients and Measured Ice-Crystal Recrystallization Rates

The diffusion coefficient of the water component in a freeze-concentrated matrix is a useful parameter for predicting and controlling the recrystallization rate of ice crystals in sugar solutions relevant to frozen desserts. Herein, application of molecular dynamics (MD) for estimating the water diffusion coefficient in a freeze-concentrated matrix of sugar solutions is described. Diffusion coefficients evaluated using MD with the optimized potentials for liquid simulations all atom force field and water models of three types (simple point charge, simple point charge extended, and transferable intermolecular potential-4 point) show a good positive linear relation with measured values, indicating that the MD methods used in this study are useful for predicting differences in water diffusion coefficients in a sugar freeze-concentrated matrix. Furthermore, similarly to measured values, the estimated diffusion coefficients show a good positive correlation with recrystallization rates of ice crystals, which suggests that MD is useful to predict differences in recrystallization rates of ice crystals in frozen sugar solutions.     

Molecular dynamics simulation of solvated protein at high pressure.

We have completed a molecular dynamics simulation of protein (bovine pancreatic trypsin inhibitor, BPTI) in solution at high pressure (10 kbar). The structural and energetic effects of the application of high pressure to solvated protein are analyzed by comparing the results of the high-pressure simulation with a corresponding simulation at low pressure. The volume of the simulation cell containing one protein molecule plus 2943 water molecules decreases by 24.7% at high pressure. This corresponds to a compressibility for the protein solution of beta = 1.8 x 10(-2) kbar-1. The compressibility of the protein is estimated to be about one-tenth that of bulk water, while the protein hydration layer water is found to have a greater compressibility as compared to the bulk, especially for water associated with hydrophobic groups. The radius of gyration of BPTI decreases by 2% and there is a one third decrease in the protein backbone atomic fluctuations at high pressure. We have analyzed pressure effects on the hydration energy of the protein. The total hydration energy is slightly (4%) more favorable at high pressure even though the surface accessibility of the protein has decreased by a corresponding amount. Large pressure-induced changes in the structure of the hydration shell are observed. Overall, the solvation shell waters appear more ordered at high pressure; the pressure-induced ordering is greatest for nonpolar surface groups. We do not observe evidence of pressure-induced unfolding of the protein over the 100-ps duration of the high-pressure simulation. This is consistent with the results of high-pressure optical experiments on BPTI.(ABSTRACT TRUNCATED AT 250 WORDS)     

Hydrogen exchange in BPTI variants that do not share a common disulfide bond.

Bovine pancreatic trypsin inhibitor (BPTI) is stabilized by 3 disulfide bonds, between cysteines 30-51, 5-55, and 14-38. To better understand the influence of disulfide bonds on local protein structure and dynamics, we have measured amide proton exchange rates in 2 folded variants of BPTI, [5-55]Ala and [30-51; 14-38]V5A55, which share no common disulfide bonds. These proteins resemble disulfide-bonded intermediates that accumulate in the BPTI folding pathway. Essentially the same amide hydrogens are protected from exchange in both of the BPTI variants studied here as in native BPTI, demonstrating that the variants adopt fully folded, native-like structures in solution. However, the most highly protected amide protons in each variant differ, and are contained within the sequences of previously studied peptide models of related BPTI folding intermediates containing either the 5-55 or the 30-51 disulfide bond.     

Structure of tick anticoagulant peptide at 1.6 A resolution complexed with bovine pancreatic trypsin inhibitor

The structure of tick anticoagulant peptide (TAP) has been determined by X-ray crystallography at 1.6 A resolution complexed with bovine pancreatic trypsin inhibitor (BPTI). The TAP-BPTI crystals are tetragonal, a = b = 46.87, c = 50.35 A, space group P41, four complexes per unit cell. The TAP molecules are highly dipolar and form an intermolecular helical array along the c-axis with a diameter of about 45 A. Individual TAP units interact in a head-to-tail fashion, the positive end of one molecule associating with the distal negative end of another, and vice versa. The BPTI molecules have a uniformly distributed positively charged surface that interacts extensively through 14 hydrogen bonds and two hydrogen bonded salt bridges with the helical groove around the helical TAP chains. Comparing the structure of TAP in TAP-BPTI with TAP bound to factor Xa(Xa) suggests a massive reorganization in the N-terminal tetrapeptide and the first disulfide loop of TAP (Cys5T-Cys15T) upon binding to Xa. The Tyr1(T)OH atom of TAP moves 14.2 A to interact with Asp189 of the S1 specificity site, Arg3(T)CZ moves 5.0 A with the guanidinium group forming a cation-pi-electron complex in the S4 subsite of Xa, while Lys7(T)NZ differs in position by 10.6 A in TAP-BPTI and TAP-Xa, all of which indicates a different pre-Xa-bound conformation for the N-terminal of TAP in its native state. In contrast to TAP, the BPTI structure of TAP-BPTI is practically the same as all those of previously determined structures of BPTI, only arginine and lysine side-chain conformations showing significant differences.     

Diffusion NMR study of complex formation in membrane-associated peptides

Pulsed-field-gradient nuclear magnetic resonance (PFG-NMR) is used to obtain the true hydrodynamic size of complexes of peptides with sodium dodecyl sulfate SDS micelles. The peptide used in this study is a 19-residue antimicrobial peptide, GAD-2. Two smaller dipeptides, alanine–glycine (Ala–Gly) and tyrosine–leucine (Tyr–Leu), are used for comparison. We use PFG-NMR to simultaneously measure diffusion coefficients of both peptide and surfactant. These two inputs, as a function of SDS concentration, are then fit to a simple two species model that neglects hydrodynamic interactions between complexes. From this we obtain the fraction of free SDS, and the hydrodynamic size of complexes in a GAD-2–SDS system as a function of SDS concentration. These results are compared to those for smaller dipeptides and for peptide-free solutions. At low SDS concentrations ([SDS] ≤ 25 mM), the results self-consistently point to a GAD-2–SDS complex of fixed hydrodynamic size R = (5.5 ± 0.3) nm. At intermediate SDS concentrations (25 mM < [SDS] < 60 mM), the apparent size of a GAD-2–SDS complex shows almost a factor of two increase without a significant change in surfactant-to-peptide ratio within a complex, most likely implying an increase in the number of peptides in a complex. For peptide-free solutions, the self-diffusion coefficients of SDS with and without buffer are significantly different at low SDS concentrations but merge above [SDS] = 60 mM. We find that in order to obtain unambiguous information about the hydrodynamic size of a peptide-surfactant complex from diffusion measurements, experiments must be carried out at or below [SDS] = 25 mM.     

Influence of pressure on structure and dynamics of bovine pancreatic trypsin inhibitor (BPTI): small angle and quasi-elastic neutron scattering studies

We have studied the influence of pressure on structure and dynamics of a small protein belonging to the enzymatic catalysis: the bovine pancreatic trypsin inhibitor (BPTI). Using a copper-beryllium high-pressure cell, we have performed small angle neutron scattering (SANS) experiment on NEAT spectrometer at HMI (Berlin, Germany). In the SANS configuration, the evolution of the radius of gyration and of the shape of the protein under pressures up to 6,000 bar has been studied. When increasing pressure from atmospheric pressure up to 6,000 bar, the pressure effects on the global structure of BPTI result on a reduction of the radius of gyration from 13.4 A down to 12.0 A. Between 5,000 and 6,000 bar, some transition already detected by FTIR [N. Takeda, K. Nakano, M. Kato, Y. Taniguchi, Biospectroscopy, 4, 1998, pp. 209-216] is observed. The pressure effect is not reversible because the initial value of the radius of gyration is not recovered after pressure release. By extending the range of wave-vectors to high q, we have observed a change of the form factor (shape) of the BPTI under pressure. At atmospheric pressure BPTI exhibits an ellipsoidal form factor that is characteristic of the native state. When the pressure is increased from atmospheric pressure up to 6,000 bar, the protein keeps its ellipsoidal shape. The parameters of the ellipsoid vary and the transition detected between 5,000 and 6,000 bar in the form factor of BPTI is in agreement with the FTIR results. After pressure release, the form factor of BPTI is characteristic of an ellipsoid of revolution with a semi-axis a, slightly elongated with respect to that of the native one, indicating that the pressure-induced structural changes on the protein are not reversible. The global motions and the internal dynamics of BPTI protein have been investigated in the same pressure range by quasi-elastic neutron scattering experiments on IN5 time-of-flight spectrometer at ILL (Grenoble, France). The diffusion coefficients D and the internal relaxation times of BPTI deduced from the analysis of the intermediate scattering functions show a slowing down of protein dynamics when increasing pressure.     

The BPTI decamer observed in acidic pH crystal forms pre-exists as a stable species in solution

Bovine pancreatic trypsin inhibitor (BPTI) crystallizes under acidic pH conditions in the presence of thiocyanate, chloride and sulfate ions, yielding three different polymorphs in P2(1), P6(4)22 and P6(3)22 space groups, respectively. In all three crystal forms, the same decamer is found in the packing (ten BPTI molecules organized through two perpendicular 2-fold and 5-fold axes as a well-defined and compact object) in contrast to the monomeric crystal forms observed at basic pH conditions. The crystallization of BPTI under acidic conditions (pH 4.5) was investigated by small angle X-ray scattering with both under- and supersaturated BPTI solutions. Data showed the oligomerization of BPTI molecules under all investigated conditions. Accordingly, various mixtures of discrete oligomers (n=1 to 10) were considered. Calculated scattering curves were obtained using models based on the crystallographic structures, and the experimental patterns were analyzed as a linear combination of the model curves using a non-linear curve fitting procedure. The results, confirmed by gel filtration experiments, unambiguously demonstrate the co-existence of two different BPTI particles in solution: a monomer and a decamer, with no evidence of any other intermediates. Moreover, using both approaches, the fraction of decamers was found to increase with increasing salt concentration, even beyond the solubility curve. We therefore propose that at acidic pH, BPTI crystallizes following a two step process: decamers are first built in under- and supersaturated solutions, upon which crystal growth proceeds by decamer stacking. Indeed, those BPTI crystals should best be described as "BPTI decamer" crystals.     

The loop problem in proteins: A monte carlo simulated annealing approach

A Monte Carlo simulated annealing (MCSA) algorithm was used to generate the conformations of local regions in bovine pancreatic trypsin inhibitor (BPTI) starting from random initial conformations. In the approach explored, only the conformation of the segment is computed; the rest of the protein is fixed in the known native conformation. Rather than follow a single simulation exhaustively, computer time is better used by performing multiple independent MCSA simulations in which different starting temperatures are employed and the number of conformations sampled is varied. The best computed conformation is chosen on the basis of lowest total energy and refined further. The total energy used in the annealing is the sum of the intrasegment energy, the interaction energy of the segment with the local surrounding region, and a distance constraint to generate a smooth connection of the initially randomized segment with the rest of the protein. The rms deviations between the main-chain conformations of the computed segments in BPTI and those of the native x-ray structure are 0.94 Å for a 5-residue α-helical segment, 1.11 Å for a 5-residue β-strand segment, and 1.03, 1.61, and 1.87 Ã for 5-, 7-, and 9-residue loop segments. Side-chain deviations are comparable to the main-chain deviations for those side chains that interact strongly with the fixed part of the protein. A detailed view of the deviations at an atom-resolved level is obtained by comparing the predicted segments with their known conformations in the crystal structure of BPTI. These results emphasize the value of predetermined fixed structure against which the computed segment can nest. © 1993 John Wiley & Sons, Inc.     

Beta-sheet folding of fragment (16-36) of bovine pancreatic trypsin inhibitor as predicted by Monte Carlo simulated annealing.

A tertiary structure prediction is described using Monte Carlo simulated annealing for the peptide fragment corresponding to residues 16-36 of bovine pancreatic trypsin inhibitor (BPTI). The simulation starts with randomly chosen initial conformations and is performed without imposing experimental constraints using energy functions given for generic interatomic interactions. Out of 20 simulation trials, seven conformations show a sheet-like structure--two strands connected by a turn--although this sheet-like structure is not as rigid as that observed in native BPTI. It is also shown that these conformations are mostly looped and exhibit a native-like right-handed twist. Unlike the case with the C-peptide of RNase A, no conspicuous alpha-helical structure is found in any of the final conformations obtained in the simulation. However, the lowest-energy conformation does not resemble exactly the native structure. This indicates that the rigid beta-sheet conformation of native BPTI merely corresponds to a local minimum of the energy function if the fragment with residues 16-36 is isolated from the native protein. A statistical analysis of all 20 final conformations suggests that the tendency for the peptide segments to form extended beta-strands is strong for those with residues 18-24, and moderate for those with residues 30-35. The segment of residues 25-29 does not tend to form any definite structure. In native BPTI, the former segments are involved in the beta-sheet and the latter in the turn. A folding scenario is also speculated from this analysis.     

Temperature dependence of protein-hydration hydrodynamics by molecular dynamics simulations

The dynamics of water molecules near the protein surface are different from those of bulk water and influence the structure and dynamics of the protein itself. To elucidate the temperature dependence hydration dynamics of water molecules, we present results from the molecular dynamic simulation of the water molecules surrounding two proteins (Carboxypeptidase inhibitor and Ovomucoid) at seven different temperatures (T=273 to 303 K, in increments of 5 K). Translational diffusion coefficients of the surface water and bulk water molecules were estimated from 2 ns molecular dynamics simulation trajectories. Temperature dependence of the estimated bulk water diffusion closely reflects the experimental values, while hydration water diffusion is retarded significantly due to the protein. Protein surface induced scaling of translational dynamics of the hydration waters is uniform over the temperature range studied, suggesting the importance protein-water interactions.