ALBERT

Notes: The two-state theory of protein denaturation, in which it is assumed that a protein exists as two species, native and denatured, is examined by three approaches in this paper. First, the point is made that denaturation of an isolated molecule involves a continuous shift in the probabilities of occurrence of many states generated by the partition function for the protein. It is argued that the maximum term approximation does not lead to a two-state mechanism of denaturation, and that the extent of cooperation implied by the two-state theory should give very much sharper transitions than are actually found in proteins. Second, the two-state theory is applied to the various model systems treated in this series of papers, and is found to be inadequate. Since the detailed behaviour of the models is known, it is possible to deduce the effect of the incorrect application of the two-state theory to a system that “denatures” by gradual unwinding. This exercise is useful when, thirdly, we examine experimental data that seem to depart radically from a two-state interpretation. We conclude that a mechanism of gradual unwinding is the most generally valid assumption, and that the two-state theory has no theoretical or experimental support.

Notes: Three types of band-forming centerpieces useful in band centrifugation in the analytical ultracentrifuge are described. The mode of filling and the advantages and disadvantages of each type are discussed.

Notes: The ability of periodate-oxidized amylose to form aggregates in aqueous solution was studied by sedimentation, light scattering, and viscosity analyses. Ultracentrifuge schlieren patterns show that aggregation can be appreciable at pH 3.0 and 1.0. The hydroxyl ion-catalyzed degradation of the oxidized amylose is faster at pH 3.0 than at pH 1.0. Viscosity and sedimentation analyses conducted at pH 3.0 show that a minimum in the degree of aggregation of the oxidized molecules is obtained at 15-25% oxidation. Solubulity studies and x-ray diffraction patterns on retrograded amylose show that maximum solubility of the retrograded amylose is obtained by oxidizing to the extent of 25-35%. It was therefore concluded that in the general range of 20-30% periodate oxidation, the oxidized amylose has a minimum ability to form intermolecular hydrogen bonds. Outside of this range, oxidized amylose readily forms aggregates in aqueous solutions.

Notes: Calorimetric measurements of the heat of the addition of the second strand of poly U to poly (A + 2U) to form the three-stranded poly (A + 2U) complex in 0.1M and 0.5M NaCl at 24 and 37°C. are reported. A value of ΔH = -3800 cal./mole of poly (A + 2U) formed was found to be fairly insensitive to the experimental conditions employed. The heat of the addition of the third strand to the preformed poly (A + U) helix is considerably less exothermic than the heat of reaction between poly A and poly U to form poly (A + U). The insensitivity of the heat of addition of the third strand (poly U) to changes in salt concentration and temperature lends qualitative support to the earlier hypothesis that the major portion of the variation of the ΔH of the poly A and poly U reaction with experimental conditions arises from differences in the conformation of poly A. Combining the information obtained in this study for the ΔH of the reaction forming poly (A + 2U) with data for the ΔH of the formation of poly (A + U) indicates that the conversion of poly (A + U) to poly (A + 2U) is opposed by an enthalpy change which increases with temperature. Extrapolation of these values to 52°C. where poly (A + U) is transformed to poly (A + 2U) in 0.5M NaCl leads to a value of ΔH = +3800 cal./mole (A + 2U) formed and ΔS = 11.5 cal./mole of (A + 2U) formed. It is concluded from the calorimetric data that the driving force for the poly (A + U) to poly (A + 2U) conversion reaction is the favorable entropy change.

Notes: The effect of salt type and concentration on the transformation of an oriented crystalline collagen tendon into a crosslinked network under conditions of equilibrium swelling was investigated. Our main observations are the following. The degree of swelling of crystalline tendons increases at low salt concentration Cs, and decreases at higher Cs for a wide variety of salts. The observation is not reconcilable with swelling taking place in interfibrillar spaces or structural voids. Within the tropocollagen units and at their ends, regions of reduced organization are postulated (as suggested by Bear and by Schmitt) which are able to interact with the diluent in the amorphous-like manner. At least four different factors should be considered in assessing the role of salt and salt concentration on the shrinkage temperature Ts under isoelectric conditions. They are: (1) specific effects, (2) diluent effects, (3) crosslinking effects, and (4) nonequilibrium effects. The diluent effects are correlated with the salting-in-salting-out power of the ions which was characterized in Part I of this series. Smaller amounts of diluents are generally available to the tendon when the salt has a higher salting-out power, and this corresponds to higher shrinkage temperatures, other conditions being the same. The crosslinking effect raises Ts due to a reduction of the diluent content and, probably for p-benzoquinone and formaldehyde, also to a reduction of the conformational entropy in the molten state. Nonequilibrium effects arise from the fact that shrinkage and recrystallization are kinetically hindered when the tendon is highly deswollen in strong salting-out solutions, or when the salt has a crosslinking power. The specific effect is the only effect which is not related to the amount of diluent present in the tendon. Its origin is less clear. For anions such as Cl- and SCN-, it is possibly related to an ability of the ion to prevent intersegmental hydrogen bonding and water carbonyl bridges. The competition of several of the above effects for a given salt solution makes possible various types of dependence of Ts upon Cs: Ts may either continuously decrease or continuously increase with increasing Cs, or it may go through a minimum. In absence of salt, the cooperative character of the transition at the pH at which maximum swelling occurs appears extremely reduced. The large swelling maintains the tendon in the elongated state and this simulates a continuous decrease of Ts on lowering pH. In presence of small quantities of salt, which reduce swelling, the transition is sharp and Ts is decreased with pH up to pH 2, when maximum swelling occurs, and then reincreases on further lowering of the pH. The dependence of Ts upon Cs is more complex than under isoelectric conditions. There is generally an increase of Ts with Cs which is equivalent to an increase of the denaturation temperature with Cs for helical polyelectrolytes in solution. At higher salt concentrations, however, Ts may decrease again, and possibly increase again at still higher salt concentrations, depending upon the effect of the salt solution in the isoelectric zone.

Notes: By using the Nemethy-Scheraga theory of water structure, a calculation was made of the energy changes for the rupture of a DH…A solute-solute hydrogen bond in water. A partition function was also obtained for the binding of water and other solutes to the DH and A groups in the special case where these are the NH and CO groups of a random coil polypeptide chain. In subsequent papers of this series, these calculated quantities will be used in a statistical mechanical treatment of the helix-coil transition for polypeptides in water.

Notes: A partition function is derived for a simple model of interacting helices in a short (20 residues) chain of poly-L-alanine. It is found that interhelical hydrophobic bonds effect a marked stabilization of helical forms, and give rise to a sharp transition of the type found in many proteins.

Notes: Crosslinked synthetic polypeptides of poly Glu51Lys33Tyr16 (mol. wt. 31,000) and of poly Glu52Lys33Tyr15 (No. 3) (mol. wt. 52,000) containing from one to six crosslinks per molecule have been prepared by use of FFDNB, WRK and ICD reagents.The monomeric fractions of these derivatives were isolated by Sephadex G-100 chromatography. The number of crosslinks per molecule of DNPene derivatives was determined by total hydrolysis of the derivatives, isolation of O, N∊-DNPene-Tyr-Lys bridges by paper chromatography and then spectrophotometric quantitation. The number of the amide-type crosslinks in Am derivatives was established by their deamination followed by total hydrolysis and quantitation of the remaining lysine residues. Crosslinked derivatives appear to have a more compact structure, as judged by their behavior on the Sephadex columns and by their intrinsic viscosities. They were further characterized in regard to their amino acid composition, average number of the crosslinks per molecule, nitrogen content, solubility, root-mean-square end-to-end distance, and their spectral properties. Their properties recommend them as useful models for the study of the tertiary structure of proteins in solution.

Notes: The introduction of intramolecular amide bonds into synthetic polypeptides produces molecules with organized spatial structure which are good models for the tertiary structure of proteins. Polarization of fluorescence measurements were used to study the internal structure and the overall rigidity of the intramolecularly crosslinked polypeptides. The graph of [(1/p) + (1/3)] against T/η changes from a straight line to a continuous curve: the temperature at which this change occurs and the slope of the straight line segment measure the stability of the internal structure of the molecule. The introduction of one to six crosslinks produces an organized internal structure that becomes more stable as the number of crosslinks increases. In contrast to the fluorescence measurements, the intrinsic viscosities, reflecting the overall hydrodynamic domain of the molecules, change (decrease) to the same extent whether one, four, or six intramolecular crosslinks are present. The overall rigidity of the polymers can be assessed by the rotational relaxation time ρh and the polarization at 10°C. p10. Both of these criteria show that the presence of six crosslinks significantly increases the rigidity, but one or four does not. The various hydrodynamic measurements may be fitted into a hierarchy of discrimination: intrinsic viscosity, sedimentation, and diffusion for size and shape; rotational relaxation time and polarization of fluorescence at a given temperature for overall molecular rigidity; and transition temperature and rate at which it is attained for internal molecular detail.

Notes: A theory for the dependence of the net thermodynamic solvation of a macroion in an electrolyte solution is presented. The solvation in moles salt/mole macroion is shown to approach - |Zp|/v in the limit of infinite dilution of salt and macroion. The solvation in moles water/mole macroion is shown to approach zero at zero water activity. Isopiestic determinations of the hydration of sodium deoxyribonucleate in NaCl, Na2SO4, and NaClO4 solutions indicate that short-range interactions of the NaDNA with solvent account for more than half of the observed solvation. The net hydration appears to be predominantly influenced only by water activity.

Notes: The cohesive energy densities (CED) of three amylose derivatives have been estimated from viscosity measurements in a range of solvents, by using methods proposed by Mangaraj and Bristow and Watson. The values assigned to the triacetate, (2.5) nitrate, and tricarbanilate are 92 ± 2, 90 ± 2, and 87 ± 2 cal./cc., respectively. The CED of unsubstituted amylose has been measured and found to be 154 ± 4 cal./cc. The results are discussed in relation to solvent power, structure, and possible correlation with the internal pressure of the polymer.

Notes: Viscosity measurements and calculated rotary diffusion constants show that collagen undergoes photopolymerization when irradiated with ultraviolet light of 2537 A. Fibril formation at the same time is inhibited. The results are correlated with the aromatic amino acid content of the dangling peptides protruding from the rigid portion of the macromolecule.

Notes: It is shown how the technique of fluorescence may be used to assess conclusions about conformation which are based on a statistical mechanical treatment of simple protein models. Specifically, the state of bonding and distance between two chromophores in a molecule depend on the overall conformation, which can be computed for model systems. On the assumption that the intensity and polarization of fluorescence are affected by exciton transfer between the chromophores, it is possible to compute the effect of conformation on fluorescence. It is demonstrated that the conformational changes computed in the preceding paper will give rise to marked changes in the intensity and polarization of fluorescence.

Notes: Intrinsic viscosity-temperature studies for isoelectric gelatin in KCl and KSCN aqueous solutions and equilibrium degree of swelling, ν-1, measurements for amorphous crosslinked rat tail tendons in the same solutions were carried out. On increasing salt concentration Cs, both [η] and ν-1 increase, go through a maximum, and then decrease at high Cs, KCl being more effective than KSCN in bringing about this decrease. The trend observed is similar to the variation of solubility of polypeptides and soluble proteins with Cs. By regarding a water-salt solution of a given Cs as a single diluent interacting with the protein modified by solvation and binding of ions, usual polymer solution theories were applied to the experimental results. Thus, quantities related to the entropy and enthalpy components of the excess chemical potential of the diluents were obtained. The data indicate that the initial increase of [η] and ν-1 with Cs results from the balance of an enthalpy component which, on increasing Cs, becomes less favorable to dilution and an entropy component which, conversely, becomes more favorable. The subsequent decrease of [η] and ν-1 with Cs is due to the prevailing of the enthalpy component. The maximum is reached at higher Cs for KSCN than for KCl, primarily because of the large increase in the entropy component operated by the former salt. The increase of the entropy parameter with Cs is associated to a breaking down of the coordinated water structure and to an alteration of the conformation of the macro molecules due to ion-dipole interaction and to ion absorption. The decrease in exothermicity of dilution with Cs indicates a reduced thermodynamic affinity of the diluent toward the polymer which probably results from alteration of the nature of both polymer and diluent.

Notes: In aqueous solutions of the amylase-iodine complex the concentration of free iodine [If]v after reaching equilibrium (or closely approximating it) is determined by the following factors: temperature, pH, concentration of iodide ions and amylose, and DP of amylose. In the present paper the role of temperature, amylose concentration, and DP has been investigated. At half-saturation of amylose by iodine, the reciprocal value of free iodine defines the equilibrium constant: 1/[If]v = K. The relation between [If]v, in normality and temperature is the following: 5 + log [If]v = -(2.132/T) + 8.52, for DPn = 1290, 0.4 mg. amylose in 100 ml. 0.1N HCl. The value of the energy of activation Ea between 2 and 52°C. is 9.72 kcal./mole. The influence of amylose concentration [Am] on photometrically determined [If]v, at 20°C, in the range of 0.1-1.2 mg./100 ml. 0.1 N HCl for DPn = 1290 is: 5 + log [If]v = 0.209 - 0.047 log [Am]. At [Am] = 0.6 mg. amylose/ 100 ml. 0.1 N HCl and 20°C, the value of [If]v depends on DPn as follows: 5 + log [If]v = 0.085 = + 0.222 log (104/DPn). These above equations are summarized by the relation: [If]v = exp {16.865 - (Ea/RT)}[Am]0.047(104/DPn)0.222 ×10-5 Considering that the determination of [If]v by automatic photometric titration can be performed quickly and with appropriate reproducibility, this method is convenient for a rapid empirical and approximate determination of DP of amylose on a microscale. The iodine-binding capacity [IBC] as well as the value of λmax, have been also investigated as functions of DPn, by photometric and by amperometric titration.

Notes: The transient electric birefringence behavior of bacteriophage T2 and the T2 ghost or protein coal was studied. The field free relaxation measurements show both the intact virus and its ghost to have two rotary diffusion coefficients. These coefficients have values of 555 ± 54 and 111 ± 22 sec.-1 for the intact virus and 688 ± 89 and 161 ± 29 sec.-l for the ghost. The equivalent ellipsoids for the fast and slow relaxation coefficients were obtained by use of Perrin's equation and were related to the bacteriophage structure in terms of a possible extension of the tail fibers or an enlargement of the head structure. The saturation of the specific birefringence of the phage and the ghost when compared with the specific birefringence of the free nucleic acid gave an average optical orientation of 10 to 18% of the nucleic acid parallel to the main axis of the phage. The analysis of the birefringence versus applied field strength in the Kerr region gave the following values for the anisotropy of the polarixability. αe,33 - αe,11 and intrinsic dipole, μ, of both phage and ghost : for T2 phage αe,33 - αe,11 = 5.0 × 10-14 cm.3 and μ = 64,400 Debyes; for T2 ghost αe,33 - αe,11 = 7.9 × 10-14cm.3 and μ = 57,200 Debyes. The high intrinsic dipole for phage and ghost is interpreted as to be associated with the mechanisms of the virus for attachment, to the host cell wall.

Notes: The hydration of several polyacids has been investigated with special attention to the effects of neighboring charged groups and hydrophobic groups on the hydration regions. The molar volume change due to the structural change of water by the hydration was obtained by the method of refractivity measurement. The polyacids employed were poly(acrylic acid), poly(methacrylic acid), poly(L-glutamic acid), and a copolymer of maleic acid and vinyl acetate. The measurement of the refractive index was performed for the solutions of these polymers neutralized to varying degrees by tetrabutyl-ammonium hydroxide and sodium hydroxide. The results confirm the characteristics of the previous model of the hydration of polyelectrolytes, that is, the cooperative action of neighboring charged groups induce the second hydration region in addition to the intrinsic hydration region. The stiff structure of water in these regions restricts the mobility of counterions forced to enter into these regions by the strong electrostatic potential of polyions. The results indicate also that hydrophobic groups induce an additional hydration region around their neighboring charged groups. Small but negative volume changes were observed for conformational changes of poly(L-glutamic acid) and poly(methacrylic acid) induced by the neutralization of carboxyl groups.

Notes: The heat of solution of a series of three polyglutamates as a function of solvent composition was measured. The abrupt increase in heat of solution at the solvent composition of the helix-coil transition (as evidenced by optical rotation data) allows the estimation of the transition enthalpy change. The difference of side chain in the three polyglutamates has no appreciable effect on the transition enthalpy, although it affects the helix stability, as judged from the solvent composition at the transition points. These facts are discussed on the basis of existing models of the transition.

Notes: Single crystals of poly(γ-benzyl L-glutamate) were formed by epitaxial crystallization from solution in mesitylene on NaCl, KI, and KCl (001) cleavage faces. From electron microscopy and diffraction studies, the structure of these overgrowths was determined to be that of lamellae containing chain-folded α-helical macromolecules. The usual type of crystal perfection, that of ordered helix axes and disordered side groups, was exhibited by this synthetic polypeptide. Unique orientation regimes were observed with each substrate.

Notes: As a model for a variety of reaction processes on long chain molecules, for example, helix formation, a kinetic theory on a linear lattice is presented. Each reaction site can undergo reversible transitions between two states (0 and 1) with rates depending on the slate of its nearest neighbors. The system of coupled rate equations for the frequencies of specified runs of 0's and 1's is infinite for an infinite chain. In contrast to the case of irreversible processes, the system cannot, be written down by inspection. A procedure for the systematic derivation of the rate equations is developed which can be programmed on a computer. Explicit expressions for runs up to length four, involving runs up to length five are obtained without recourse to the computer. For the solution of the rate equations a closure must necessarily be imposed, and a possible procedure is pointed out. Furthermore the equilibrium relations following from the model are considered. The well-known equilibrium results for nearest-neighbor interactions represent a special case of these equations.

Notes: Measurements of specific heat of wool-water systems were made at approximately 5°C intervals over the temperature range -70 to 100°C. Ten different, samples were used, each with a different amount of absorbed water in the range from dry ness to saturation at 0°C. The graph of specific heat against temperature for dry wool is precisely linear over the complete temperature range, suggesting that thermal motion is entirely vibrational. When absorbed water is present the data can be conveniently discussed in terms of behavior below and above an amount of absorbed water of 22.7 g in 100 g of wool (22.7% of absorbed water). Below 22.7% there is only one temperature range in which the results indicate an appreciable transition in heat absorbing properties. The temperature of transition depends on water content but is higher than 0°C. Above 22.7% a second transition appears in the range -30 to 0°C and grows rapidly larger with increase of water content. The first transition is tentatively ascribed to a slightly cooperative breakdown of polar bonds in wool, and the second to a process analogous to melting in the absorbed water. The results are discussed in these terms as well as with reference to specific heat theories, the heat absorption of the wool component and the water component, and enthalpy differences between the various samples.

Notes: Dielectric relaxation of poly(γ-benzyl L-glutamate) in solution has been studied in the 5 kcps-10 Mcps range for various values of the helix content. The results give first experimental evidence for three effects of major significance. (1) The system exhibits dielectric relaxation due to a chemical rate process (namely helix formation). This confirms recent theoretical predictions. (2) The mean relaxation time τ* of the helix-coil transition could be evaluated as a function of the degree of transition. The results are in excellent agreement with a previously developed theory. At the midpoint of transition it is found τ*max = 5 × 10-7 sec. The elementary process of helical growth turns out to be practically diffusion-controlled (with a rate constant of hydrogen bond formation of 1.3 × 1010 sec-1). (3) There is a considerable electric field effect of the helix-coil transition. This indicates that conformation changes in biological systems could be potentially caused by direct action of an electric field.

Notes: The interaction of unsubstituted purine with polyuridylic acid in D2O solution at neutral pD has been studied by high resolution proton magnetic resonance spectroscopy. The poly U proton resonances were shifted to higher fields by the added purine, indicating that purine binds to the uracil bases of the polymer by base stacking. Severe broadening of the purine proton resonances was also observed, providing strong evidence for the intercalation of purine between adjacent uracil bases of the polymer. The line widths of the poly U proton resonances were not noticeably broadened in the presence of purine; thus, the binding of purine to poly U does not result in a more rigid or ordered structure for the polymer.

Notes: Polyelectrolyte expansion effects on high molecular weight bacteriophage DNA have been studied by examining the influence of simple salt concentration upon the intrinsic viscosity, [η]. The viscosity-molecular weight exponent a in the expression [η] = KMa diminishes from 0.8 in 0.005M simple salt to a limiting value of 0.6 for salt concentrations greater than 0.6M at 25°C. The ε parameter of the N1+ε hydrodynamic representation thus varies from approximately 0.2-0.07 over this range of salt concentration. The intrinsic, viscosity of DNA decreases slightly with increasing temperature at low and moderate salt concentrations but becomes independent of temperature at high salt concentrations. The expansion of the DNA molecular domain is linear in the reciprocal square root of the simple salt concentration. Viscosity differences among DNA's isolated from several bacteriophage T5 mutants reflect small differences in molecular weight which are in agreement, with sine determination by other techniques. The DNA's isolated from various rII mutants of T4 bacteriophage including some very large deletion mutations were found to be identically the same size in accord with current genetic ideas. Details of the representation and extrapolation of viscosity data are discussed and the sensitivity of the technique is evaluated.

Notes: Infrared spectra in the region 4000-60 cm-1 have been measured for acetylglycine N-methylamide and its deuterium homologs, CD3CONHCH2CONHCH3, CH3-CONHCD2CONHCH3, CH2CONHCH2CONHCD3, and CH3CONDCH2CONDCH3. Normal frequencies have also been calculated for these molecules with various conformations. The spectra show that this compound has two crystalline modifications, form A and form B. The frequencies and their isotope shifts show that the molecular conformation (Ψ, φ) of form B is near (0, 120) and that of form A near (180, 120). The short-range factors determining the conformation of peptide backbone having glycine residues are discussed.

Notes: The objective have been to establish if those ions which are known to change the stability of the structure of proteins, have any influence on the properties of ionizable polypeptides. Potentiometric titrations and complementary optical rotation data are presented for aqueous solutions of poly-L-lysine (PLL) in the presence of KSCN, KCl, and KF, and for poly(L-glutamic acid) (PLGA) in the presence of KSCN, KCl, and LiCl. The following measured quantities which are affected by salt concentration were obtained: intrinsic pK (pK0), slope of pKapp versus degree of ionization (α) curves, the degree of ionization at which the helix to coil transition occurs, and the free energy of this transition for the uncharged molecule (δG°hel). The effects of nonspecific salts (KCl and LiCl for PLL and KSCN and KCl for PLGA) are small, and about, as expected from general electrostatic considerations. In line with the observations made with isoelectric and cat ionic collagen, specific, effects were noted with KSCN-PLL and with LiCl-PLGA. In the presence of KSCN, the poly-L-lysine helix becomes stabilized at much lower degree of ionization than in the presence of KCl, and the slope of the pKapp versus α plots is greatly reduced. However, ΔG°hel (for the uncharged molecule) is not affected, and pK0 is only slightly higher. We interpret these data in terms of binding of SCN- primarily to the side-chain amino groups (both to R—NH3+ and to R—NH2) solutions. (L-glutamic acid) in LiCl solution has its transition at the same α value as in KCl solution. However, both the slopes of the pKapp versus α plots and the absolute values of ΔG°hel are lower than in KCl solution. We interpret these results in terms of binding of Li+ to side chains as well as to the peptide bond.

Notes: Density increments (∂ρ/∂c2)°μ in solutions of NaDNA in NaCl and CsDNA in CsCl were determined over a wide range of salt concentrations; calf thymus DNA, fragmented by sonic irradiation to a molecular weight of 4-6 × 105 was used. The partial specific volume v̄2° of NaDNA at 25°C was found to ho 0.500 ml/g in water, and that of CsDNA 0.440 ml/g. Both values increase with increasing NaCl and CsCl concentration. Refractive index increments under various experimental conditions were also determined. The relevance of the density increments (at constant, chemical potential of diffusible solutes) to equilibrium sedimentation in a density gradient and the evaluation of molecular weights is discussed. Distribution coefficients of diffusible components, sometimes referred to as preferential solvation or net hydration, were derived from the density increments and partial volumes and compared with direct experimental results, whenever available, from membrane distribution and isopiestic distillation. The thermo-dynamic significance of the distribution coefficients as well as possible interpretations in terms of specific molecular mechanisms are considered.

Notes: A model for hemoglobin is proposed and its application to allosteric enzymes is discussed with particular reference to asparate transcarbamylase. The main assumptions made are that the molecule is composed of subunits and that occupation of a sub-unit produces a conformational change which affects the occupational probability of neighboring subunits. The results compare favorably with experiment and a number of specific predictions are made for aspartate transcarbamylase.

Notes: Complexes of amylose with n-butanol were prepared both as crystalline precipitates and as oriented fibers. These complexes were subjected to x-ray analysis, their unit cells were calculated, and the space group of P212121 was confirmed. n-Butanol complexes exist in both hydrated and anhydrous forms. There is no evidence for methanol, ethanol, or n-propanol structures similar to those shown by the n-butanol complex. The Complexes are unstable in the open air and revert to V-amylose hydrate on standing.

Notes: Collagen fibers were contracted “chemically,” i.e., by transferring them from water into KCNS solutions either isometrically or isotonically. Both changes in force and fiber length and in salt and water contents were measured as functions of time. The mechanical changes were found to follow the diffusional processes. The diffusion of water exhibited a plasmolytie effect. The role of water in the melting process is discussed.

Notes: The correlation between mechanical and chemical Processes in the contractile system collagen fibers-aqueous KCNS sulutions was investigated. Melting and contraction of the fibers were induced by applying a force sufficiently high as to prevent melting in a KCNS solution and then decreasing it either suddenly, or continuously at a constant rate. The kinetics of both processes are characterized by an initial rapid elastic response of the crystalline collagen, followed by a stationary region. The force-velocity relationship in this region was found to be the same under different types of mechanical deformations. It is probable that under the prevailing conditions, the behavior in the stationary state is determined by the melting process and is not markedly influenced by diffusional changes. Part of the experimental data could be explained by assuming a linear, rigid model or, better, by taking into account the highly elastic properties of the amorphous collagen. The kinetic, unit seems to be composed of several hundred amino acid residues.

Notes: The dynamic elastic behavior of collagen fibers treated by LiBr solutions was studied by the method of free longitudinal vibrations. The frequency response functions and the stress-strain relationship were evaluated for fibers denatured to different extents by various concentrations of the salt solution. The James and Guth model for rubber elasticity was applied to the experimental data. The elastometric parameter β, which is a measure of the degree of folding of the macromolecular chains, was found to decrease on increasing the salt concentration. It might thus serve as a characteristic of the degree of denaturation of fibrillar proteins.

Notes: Sodium hyaluronate (NaHy) and sodium carboxymethyl cellulose (NaCMC) behave similarly with respect to concentration.N 3 of an added 1 : 1 electrolyte. The second virial coefficient A2 (light scattering) is identical within experimental error at a given.N 3. The limiting viscosity number [η] also varies with N3-1/2in similar fashion for samples of similar [η] of the two polymers. Differences in Na+ activity in salt-free solutions are interpreted on the basis of weaker Na+ binding in NaHy, presumably due to the greater charge separation along its chain backbone. Added electrolyte is excluded in dialysis more strongly by NaHy (or its acid form) than by NaCMC. The Flory parameter Φ is smaller in good solvents for NaHy, as for many other polyelectrolytes, than for nonionic polymers.

Notes: In order to test theoretical predictions that poly-L-valine can exist in an α-helical conformation, water-soluble block copolymers of L-valine and D, L-lysine were prepared. By carrying out the synthesis on a resin support (with the use of N-carboxyanhydrides) contamination of the individual blocks by any unreacted monomer from the previous block was avoided. A single glycine residue was incorporated at the C-terminus of the chain for use in amino acid analyses. Using optical rotatory dispersion and circular dichroism criteria, about 50% of the short valine block of (D, L-lysine HCl)18-(L-valine)15-(D, L-lysine-HCl)16-glycine was found to be in the right-handed α-helical conformation in 98% aqueous methanol, in water, the polymer appears to be a dimer, with the valine block being involved in the formation of an intermolecular β-structure.

Notes: Calculations of the dependence of the conformational energy and the rotational strength of the amide n-π* electronic transition (in a series of α-helical polyhel-α- amino acids with different side chains) on conformation have been carried out. The conformational energies were computed by procedures developed in this laboratory; the computation of rotational strengths was carried out by the method of Schellman and Oriel, with a slight modification. Polyamino acids with both nonpolar and polar side chains were considered; in the latter case, it was assumed that the only influence of the polar side chain was on the backbone conformation and on the electrostatic field which perturbs the amide chromophore of the backbone. Only conformations in the range of backbone dihedral angles of the right- and left-handed a-helices were considered, and the assumption of regularity (i.e., uniformity of dihedral angles in every residue) was made. The rotational strength per residue was found to vary markedly with chain length (in oligomers of up to 40 residues long); both the conformational energy per residue and the rotational strength per residue were found to vary significantly with the backbone conformation, which in turn depends on the nature of the side chain. The geometry of the hydrogen bond in the α-helical backbone is the most important factor which influences the dependence of the rotational strength on conformation. The implications of these results, for the interpretation of experimental circular dichroism and optical rotatory dispersion data, are discussed.

Notes: Heat-denatured DNA from HeLa cells interacts with natural as well as synthetic polysaccharides. Glucose does not inhibit the interaction nor will it produce it. Polysaccharides with a molecular weight of 10000 or greater are required before the interaction takes place.

Notes: A series of copolymers of β-p-nitrobenzyl L-aspartate with β-benzyl L-aspartate and with β-mcthyl L-aspartatc in helix-supporting and helix-breaking conditions have been reexamined by using ultraviolet isotropic, absorption, optical rotatory dispersion, and circular dichroism techniques. Many different conformations are apparent, depending on solvent and temperature. Chloroform, trifluoroethanol, and methylene dichloride support the left-handed helical conformation of the copolymers containing less than about 20 mole-% nitroaromatic residues and the right-handed helical conformation of the copolymers containing more than approximately 30 mole-% nitroaromatic residues. In trifluoroacetic acid all the copolymers are in a random-coil conformation. In hexa-fluoroacetone trihydrate and in trimethyl phosphate, the copolypeptides with low nitroaromatic residues content are predominantly in a disordered conformation, while those with high nitroaromatic residues content show a right-handed helical array. Reversible helix-ramlom-coil transitions are observed with increasing temperature in trimethyl phosphate. An example of right-handed-left-handed helix reversible transition with temperature is reported in a chloroform-trimethyl phosphate (2:1) mixture. Nitrobenzyl-nilrobenzyl side-chain interactions in chloroform, but not in trifluoroacetic acid or in trimethyl phosphate, have been confirmed. For the first time we report the circular dichroism spectra in which the n-π* peptide band of a left-handed helical conformation is almost completely evident.

Notes: The dichroic ratios of T5st-O and T2H bacteriophage DNA molecules were measured throughout the ultraviolet region of the spectrum. Two methods of DNA orientation were studied: (1) orientation in solution in a Shimadzu flow dichroism instrument attached to a Beckman DU spectrophotometer, and (2) alcohol precipitation of the DNA from solution and orientation in a thin film on the quartz face of a humidity chamber. Spectra in the latter case were recorded using a Gary Model 14 spectrophotomcter fitted with Glan prisms. The lower wavelength limit was 215 mμ in both systems. The DNA preparations were carefully characterized as to spectral purity, sedimentation coefficient, hyperchromicity, protein content, and DNA content. In addition, the structure of the DNA oriented in films was inferred from x-ray diffraction patterns of fibers of the precipitated DXA. The A and B configurations of DNA in films could not be distinguished by the dichroic ratio measuiements. The dichroic ratio obtained for the film-oriented DNA at high relative humidity shows the same wavelength dependence as for the flow-oriented DNA. The same wavelength dependence for DNA in the fibrous state and in solution, when considered together with the x-ray diffract ion results, indicates that DNA in solution maintains an orientation of bases which is similar to that in fibers. I1Or both solutions and films of DNA, the dichroic ratio is constant from 290mμ to 240 mμ and increases at wavelengths below 240 mμ. The increased parallel absorption below 240 mμ is consistent with the existence of an n→π* transition. The inherent molecular dichroic ratio is found to be the same for T5st-O DNA and T2H DNA in solution, and is a maximum of 0.09 ± 0.02 at 260 mμ.

Notes: This paper gives a very simple method based on the characteristic property of the electric free energy to calculate the repulsive force between parallel rodlike macroions in a solution as a function of the charge density on rods. The total extensive force (∂f/∂X) of an assembly of m rods of length l and charge number n (charge density - neo /l) at small extension X in the absence of low molecular sals is given by where z is the valency of counterions and Q (= neO2/εkTl) is a dimensionless quantity representing the charge density. The repulsion between two parallel rods is given by putting m = 2. At large charge densities the repulsion is very much smaller than the direct coulomb force between charged rods, even at small distances. The addition of low molecular salts does not depress the repulsion appreciably, as long as the average concentration of salt ions is much smaller than the concentration of counterions accumulated in the space between rods. The effect of fluctuation of the coumerion distribution is also analyzed, and it is found that the attractive force due to the ion fluctuation may predominate over the above repulsive force in the case of polyvalent counterions and rods of high charge densities at small distances.

Notes: The matrix method of statistical mechanics is used to calculate equilibria for the binding of small molecules to polymers. When there is only one kind of binding site the problem is simple; some examples are given for illustrative purposes. If, however, the binding sites are not all equivalent and the bound molecules interact or interfere with each other, the problem is no longer trivial, being formally analogous with calculation of the helix-coil transition equilibrium in a heterogeneous polypeptide. Particular difficulties arise when the sequence of binding sites is aperiodic; most naturally occurring materials fall in this class. The purpose of this paper is to point out that problems of this type are readily solved with good accuracy by use of random-number methods on a high-speed digital computer. One such calculation is presented for illustration. The methods developed are applicable to such systems as the binding of actinomycin, Hg-, and acridine dyes to DNA.

Notes: The aggregated form of poly(L-glutamic acid) can be isolated by gel permeation chromatography, whereby it was found that in a polydispersed sample the lower molecular weight fractions precipitate preferentially and the higher fractions tend instead to aggregate. In addition, aggregation has the effect of retarding or inhibiting precipitation.

Notes: The instability of aqueous solutions of poly(α-L-glutamic acid) (PGA) at low pH is due to two distinguishable phenomena: precipitation, favored above 40°C., and aggregation, favored below 20°C. The aggregated form of PGA can be isolated by gel permeation chromatography. Both aggregation and precipitation increase with decreasing pH, i.e., with decreasing ionization of the side chain carboxyl groups. Temperature-induced aggregation and disaggregation give rise to a reproducible hysteresis loop which can be followed by optical rotation, light scattering, sedimentation, viscosity, and chromatography. Hysteresis has been observed with different PGA samples, and in several aqueous buffered or unbuffered solvents and organic-aqueous solvent mixtures and in the pH range 4.1-4.5. Aggregation manifests itself as an increase in negative optical rotation in the visible and ultraviolet spectral range. The specific relation at 233 mμ is sensitive to aggregation and also reflects the hysteresis. Measurements of optical rotatory dispersion indicate that a0 reflects the hysteresis but b0 does not, the latter revealing only reversible changes with aggregation and disaggregation. The helix-coil equilibrium is apparently unperturbed by aggregation, as is the thermal stability of the helix structure. For fully aggregated PGA it is estimated that a0 increases by about 300 degrees, which suggests that a0 may be a sensitive parameter to measure aggregation in other systems. The rate of aggregation increases with decreasing temperature. The disaggregation, upon heating, is more rapid. However, kinetics measurements have not yet been done. The temperature M at which all aggregates are disrupted increases with decreasing pH, but is independent of total PGA concentration, at constant pH. No molecular weight dependence of M was detected in the range 20-100 × 103. The shape and size of the hysteresis loop depends upon pH and molecular weight, which is interpreted as a dependence on the extent of aggregation. One branch of the loop, representing the helix-coil transition of isolated molecules, is reversible, while the others, representing the formation and disruption of the aggregates, are not. The system exhibits both ascending and descending scanning curves, which are typical of a true hysteresis.

Notes: The interaction of hapten (ε-DNP lys) with native and S-sulfonated antibodies specific towards the 2,4-dinitrophenyl group, as well as the interaction with isolated chains and a complex obtained by mixing light, (L) and heavy (H) chains of these antibodies, were followed both by polarography and by equilibrium dialysis. With the S-sulfonated antibodies and with the mixture of H and L chains the binding heterogeneity observed in the original antibodies was much lowered or entirely removed. At the same time, the amount of active proteins in the sample decreased approximately by half. The association constants of modified antibodies were of the same order as the average association constants of the original antibodies. A slow increase of the amounts of hapten bound with proteins was observed on mixing the H and L chains and adding hapten. This slow reactivation was not obtained with the original or S-sulfonated antibodies and with isolated chains. It was shown that the reaction determining the kinetics of this reactivation (the slowest reaction) was not the association of H and L chains but the interaction of complexes of the H and L chains with hapten. It was reported previously that H chains were nonspecifically reactivated by binding L chains. The amount of hapten bound by the complex of H and L chains increased with increasing excess of L chains following a curve resembling the Langmuir isotherm. The limiting value of the amount of hapten bound when using antibody L chains was higher than in the case of nonspecific L chains.

Notes: The rate of breakage by hydrodynamic shear of the cohered ends of λ-DNA molecules has been observed for the circular monomers, joined half molecules, and joined quarter molecules, in a capillary apparatus with known flow parameters. The rate constant for breakage has been measured as a function of shear stress, temperature, ionic strength, and molecular length. There is a large temperature coefficient, with an activation energy of 120 ± 20 kcal./mole. The values of d ln k/dG, where k is the rate constant for breaking and G is shear gradient, in aqueous solution at 25°C. are about 3.8 ± 0.3 × 10-4 see. The shear stresses needed for breakage of joined quarter molecules and of circular monomers, respectively, are about equal, and about half that needed for breakage of joined half molecules. The rate of breakage at a given shear stress increases with decreasing ionic strength, approximately as [Na+]-1.6. Self-protection effects are not observed for opening of circular monomers at a DNA concentration of 5 μg./ml. but are observed for breakage of joined half molecules at concentrations down to 0.5 μg./ml. The large temperature coefficient which is approximately equal to that of the thermal dissociation of the cohered ends is interpreted to mean that shear breakage is a mechanically assisted thermal reaction in which the thermal fluctuations provide most of the free energy of activation for breakage. A detailed model for this interpretation is presented. The self-protection effect implies that those molecules which break are not average molecules but exceptional ones which, due to some fluctuation, are more fully extended in the flow field.

Notes: The dynamic viscoelastic properties of hyaluronic acid solutions have been measured over the frequency range 0.02-1.67 cps. The effects of varying temperature, hyaluronic acid concentration, pH, and ionic strength on the dynamic shear moduli were studied. The solutions exhibited a sharp transition from viscous to elastic behavior as the strain frequency increased. No entanglement coupling of the hyaluronic acid molecules was evident over the concentration range 2.0-4.0 mg./ml. Solutions at pH 2.5 showed a pronounced elastic behavior relative to both higher and lower pH's. This effect was attributed to a stiffening of the hyaluronic acid molecule at this pH.

Notes: A molecular theory of protein secondary structure is presented that takes account of both local interactions inside each chain region and long-range interactions between different regions, incorporating all these interactions in a single Ising-like model. Local interactions are evaluated from the stereochemical theory describing the relative stabilities of α- and β-structures for different residues in synthetic polypeptides, while long-range effects are approximated by the interaction of each chain region with the averaged hydrophobic template. Based on this theory, an algorithm of protein secondary structure prediction is proposed and examples are given of “blind” predictions made before the x-ray structural data became available.

Notes: To increase our understanding of peptide-water interactions, we are simulating the behavior of water molecules in the intermolecular channels of [Phe4Val6]antamanide dododecahydrate crystals. There is good overall agreement between the positions predicted using two alternative potential functions and those that have been observed by x-ray diffraction. Detailed differences between the predictions for the two potential functions are discussed.

Notes: Experimental measurements of disulfide bond stability at various stages of protein folding are considered in terms of the effective concentrations of the thiol groups relative to each other; values of up to 107M are observed, so that intramolecular interactions within the interior of a protein are much more stable, and provide greater stability to the folded conformation, than those on the surface or in a flexible segment. Intramolecular interactions can have substantially lower free energies than intermolecular, for solely entropic reasons; this implies that polar interactions, such as hydrogen bonds and salt bridges, can provide net stabilization to a folded conformation, in spite of the unfolded protein having intermolecular interactions with the solvent. These considerations can account for the lower free energy and enthalpy of the folded state and are useful for considering protein flexibility.

Notes: Near- and far-uv CD spectra of microtubule protein preparations have been examined to study the possible role of protein conformation in relation to the kinetics of the self-assembly of these proteins into microtubules in vitro. Although tubulin can form conformations with high helical content under apolar solution conditions, this transformation is apparently not involved in self-assembly. There is no major perturbation of tubulin near-uv CD by reagents and solution conditions favoring assembly. Thus, in these preparations, tubulin, as dimer and as oligomer with MAPs, is effectively in the conformation in which it undergoes self-assembly. This conclusion is consistent with a hybrid model of assembly of microtubule protein involving direct incorporation of oligomeric species as an alternative to the condensation polymerization of tubulin dimer as the exclusive assembly mechanism.

Notes: The ligand-modulated kinetics of the autoproteolysis of thermolysin and the high-molecular-weight products of the reaction provide evidence for the conclusion that separation of the two structural domains is most probably the first step on the unfolding pathway of the protein under native conditions.

Notes: The in vivo pathway of folding and subunit assembly of a trimeric bacteriophage protein has been studied by characterizing precursors to the native protein and by analyzing temperature-sensitive mutations that kinetically block the pathway. The native trimer is formed via an intermediate composed of three partially folded chains, the protrimer. At 39°C, temperature-sensitive mutations prevent the formation of both the native trimer and the protrimer, possibly by destabilizing earlier intermediates. However, the mutations do not affect the stability of the native protein, formed at 30°C. Thus, these mutations identify amino acid residues involved in interactions that determine the folding pathway.

Notes: We studied the kinetics of O2 release by oxyhemoglobin caused by sodium dithionite, in the presence and in the absence of organic cosolvents (monohydric alcohols and formamide) at 10°C. This study was performed by using standard stopped-flow techniques coupled with microprocessor-based data acquisition. We have fitted the experimental data to a mathematical expression obtained on the basis of a two-state model that takes into account the kinetic heterogeneity between α- and β-chains and the presence of αβ-dimers in oxyhemoglobin solutions. Results indicate that the cosolvents mainly affect the allosteric parameter L, i.e., the T ⇄ R conformational equilibrium of hemoglobin, leaving the intrinsic deoxygenation rates of both R and T states almost unaltered. The L values obtained in the present work are in excellent agreement with analogous values previously estimated from oxygen equilibrium measurements.

Notes: Porcine submaxillary mucin (PSM) is a glycoprotein composed of a protein core and frequent, short oligosaccharide side chains. We report static and dynamic light scattering experiments and intrinsic viscosities for PSM in aqueous solvent systems. In 0.1M NaCl solution, the data suggest PSM exists as large, internally branched, highly hydrated, polydisperse aggregates that slowly dissociate to give a stable species of weight-average molecular weight (Mw) 7.4 × 106. In 6M GdnHCl solution, the noncovalent bonds between PSM molecules are broken, giving a highly elongated molecule of Mw = 2.0 × 106. The irreversible nature of this dissociation suggests that the forces that stabilize the native aggregates of PSM in 0.1M NaCl are specific in nature. On reduction of PSM with mercaptoethanol, the polydispersity decreases and Mw also decreases to 9 × 105. A discrete change is observed in the solution properties of PSM in 0.1M NaCl at a concentration of 2mg/mL, manifested by a sudden decrease in the translational diffusion coefficient, an increase in viscosity number, and a decrease in slope of the osmotic compressibility. We tentatively propose that a weak and reversible secondary association process occurs at this concentration, although a purely hydrodynamic interaction cannot be ruled out.

Notes: The uv linear dichroism of calf thylus DNA has been studied at different degrees of orientation both in flow-oriented ethanol-water solutions and in a stretched aqueous host of poly(vinyl alcohol) (PVA). The reduced dichroism (LDR) curves in the region 250-290 nm for DNA in PVA films at 75 and 100% relative humidity (r.h.) are in fair agreement with the curves calculated for the A- and B-forms of DNA, based on the fiber structures and the π-π* transitions of the free bases. This suggests that DNA adopts its A and B conformations in PVA at 75 and 100% r.h. In ethanol, on the other hand, a deviation from the A-form spectrum shows that the conformation of DNA in the solution can differ from the fiber structure. At shorter wavelenghts, a positive contribution to LDR is explained in terms of an out-of-plane polarized n-π* transition.

Notes: A vibrational analysis has been performed for a double-helix-single-strand junction. A Green's function technique has been used in treating the junction as a defect on an otherwise perfect system of infinite chain homopolymers. We calculate that the hydrogen-bond stretching at the junction is amplified by a factor of two relative to the interior of the double helix, B poly(dG)-poly(dC). Breathing modes localized near the junction have also been predicted at 77 and 94 wave numbers. The calculated results are shown to be consistent with predictions from recent nmr studies.

Notes: Nmr studies of the protected and free tetrapeptide Gly-Pro-Gly-Gly were carried out in β-turn-supporting solvents, that is, in CDCl3 for Z-Gly-Pro-Gly-Gly-OMe and in Me2SO-d6 for H-Gly-Pro-Gly-Gly-OH. Comparisons with specifically α-deuterated analogs gave complete assignments of the NH and methylene regions. Analysis of chemical shifts, coupling constants, and the temperature dependence of chemical shifts show that the peptide adopts a type II β-turn conformation. This turn is stabilized for the protected tetrapeptide by two hydrogen bonds between (i) C=O (Gly1) and NH(Gly4), and (ii) urethane function NH and methyl ester C=O.

Notes: Ab initio minimal and split-valence basis set calculations have been performed on compounds that are involved in retro-inverso modifications, i.e., gem-diaminoalkyl and malonyl structures. These calculations are compared with empirical force field calculations and the minor differences discussed. All calculations agree that the preferred helical conformation of the isolated gem-diaminoalkyl and malonyl derivatives of residues found in the retro-inverso modified peptides is 5-8 kcal/mol lower than the Ceq7 conformation preferred by the isolated peptide residues. Population analysis and contour plots of the charge distribution are used to help explain the differences between the model compounds.

Notes: SCF-LCAO-MO ab initio calculations were carried out for the interaction between a charged amino acid and a water molecule. The results obtained were fitted by an analytical potential function of the atom-atom type, and the corresponding potential surfaces were examined by means of orientationally optimized isoenergy contour maps. Monte Carlo simulations were also carried out on a few selected solute-water clusters at T = 300 K, in order to obtain insight into the solvation structure.

Notes: An improved cube method has been developed for calculating the intensity of diffuse x-ray scattering of macromolecules in solution using a certain set of their atomic coordinates. The technique is based on the ideas of B. Lee and F. M. Richards [(1971) J. Mol. Biol. 55, 374-400] and Richards [(1977) Annu. Rev. Biophys. Bioeng. 6, 151-176] on the possibility of estimating the molecular and accessible surface of a particle by “rolling” a sphere, simulating a water molecule, on its molecular surface. It is shown that this technique is more advantageous than earlier versions of the cube methods. The improved technique for calculating scattering curves was utilized for several globular proteins, and for the first time, reliable scattering curves were obtained for protein-“bound” water complexes. In the case of globular proteins and tRNA, this technique has permitted a strict evaluation of their accessible surfaces, their volumes, and, apparently for the first time, their complete molecular surfaces.

Notes: An extended retro-inverso modification was introduced at the central six residues of the somatostatin molecule, the region of internal enzymatic degradations. The synthesis of the analog [Ala4,g-Phe6-r-D-Phe7-r-D-Trp8-r-D-Lys9-r-D-Thr10-m-R,S-Phe11]-somatostatin required a unique strategy accommodating the unusual structure. Side-chain protection based on the t-butyl group in combination with Fmoc and Nps α-amino protection was employed. The key component containing the gem-diaminoalkyl residue was generated by an iodobenzene bistrifluoroacetate-mediated reaction. The separation of diastereomers of the cyclic tetradecapeptide in highly pure form was accomplished by high-performance liguid chromatography on a semipreparative scale. The analogs exhibited very low potency in the growth hormone inhibition test in vitro. This is interpreted as the consequence of the complex structural changes created by the extended retro-inverso modification.

Notes: The nature of internal and overall motions in native (double-stranded) and denatured (single-stranded) DNA fragments 120-160 base pairs (bp) long is examined by molecular-dynamics modeling using 13C-nmr spin-relaxation data obtained over the frequency range of 37-125 MHz. The broad range of 13C frequencies is required to differentiate among various models. Relatively narrow linewidths, large nuclear Overhauser enhancements (NOEs), and short T1 values all vary significantly with frequency and indicate the presence of rapid, restricted internal motions on the nanosecond time scale. For double-stranded DNA monomer fragments (147 bp, 24 Å diam at 32°C), the overall motion is that of an axially symmetric cylinder (τx = ∼10-6 s;τZ = ∼1.8 × 10-8s), which is in good agreement with values calculated from hydrodynamic theory (τx = ∼1.8 × 10-6 s; τZ = ∼2.7 × 10-8 s). The DNA internal motion can be modeled as restricted amplitude internal diffusion of individual C—H vectors of deoxyribose methine carbons C1′, C3′, and C4′, either with conic boundary conditions (τw = ∼4 × 10-9 s, θcone = ∼21°) or as a bistable jump (τA = τB = ∼2 × 10-9 s, θ = ∼15°). We discuss the critical role in molecular-dynamics modeling played by the angle (β) that individual C—H vectors make with the long axis of the DNA helix. Heat denaturation brings about increases in both the rate and amplitude of the internal motion (described by the wobble model with τW = ∼0.2 × 10-9 s, θcone = ∼50°), and overall motion is affected by becoming essentially isotropic (τx = τZ = ∼5 × 10-8 s) for the single-stranded molecules. Since 13C-nmr data obtained at various DNA concentrations for C2′ of the deoxyribose ring is not described well by the above models, a new model incorporating an additional internal motion is proposed to take into account the rapid, extensive, and weakly coupled motion of C2′.

Notes: The interaction of methyl orange with poly(L-lysine) was studied kinetically by the stopped-flow technique with CD detection, as well as by static CD titration experiments. In the static experiments, the differences observed in the polymer-to-dye ratio dependences of the CD spectra and absorption spectra suggested at least two kinds of bound states of the methyl orange attached to the polymer. The kinetic experiments using the stopped-flow apparatus, however, revealed four distinct reaction processes. The reaction mechanism was elucidated from the concentration dependence of the time constant for each process as follows: the first process was attributed to the bimolecular binding step of methyl orange to the side chain of poly(L-lysine), the second and third process were ascribed to the intramolecular reaction of the polymer-dye complex, and the fourth process was found to be the intermolecular aggregation of the polymer-dye complex. The origin of the stacking of methyl orange on poly(L-lysine) is discussed on the basis of the characteristics of signal amplitudes obtained from the kinetic experiments for these processes.

Notes: Novel devices for the spectroscopic and chromatographic analysis of the denaturation curves of the protein are described. A multidimensional spectroscopic measuring system makes it possible to carry out simultaneous and continuous acquisition of a set of data of different spectroscopic dimensions at several wavelengths in the course of increasing or decreasing denaturational perturbation. GuHCl-gradient chromatography can provide information about the progressive change of the protein volume in the course of increasing GuHCl concentration. Thus, denaturation curves with a high data-point density can be obtained. The data-storing function by a magnetic disk memory provides enough precision for a rigorous investigation of the correlation among the curves that probe different aspects of denaturation. The GuHCl denaturation of RNase A, cytochrome c, and pepsinogen are studied to demonstrate the high performance of these devices. Three types of transitions are found in these three proteins and the multiphasic nature of the transitions is clearly detected in the last two proteins.

Notes: A sufficiently long semiflexible filamentous macromolecule is theroretically expected to exhibit three different domains of behavior of its apparent diffusion coefficient Dapp(K) as a function of scattering vector K: (1) the small wave vector limit, where Dapp(K) = D0 is the translational diffusion coefficient of the center-of-mass; (2) the universal K3 region, where Dapp(K) = (kBT/6πη)K is a universal function of K independent of any property of the molecule itself; (c) the plateau region at large K2, where Dapp(K) approaches either a plateau, or gradually sloping quasiplateau, characteristic of local (elastic) rigid-body motions of the filament. The existence of each of these different domains has now been established experimentally for at least some polymers. The boundaries of the universal K3 region and the plateau region are determined theoretically here using precise quantitative criteria for universal or plateau behavior of Dapp(K) for a Rouse-Zimm model containing N + 1 subchains with rms subchain extension b. Allowing a maximum of 13% nonuniversal behavior, the domain of the universal K3 region is given by K2R2G = K2Nb2/6 ≥ 7 and K2b2 ≤ 0.54. Allowing as much as 10% nonplateau behavior, the boundary for onset of plateau behavior is K2b2 = 18.3. Dapp(K) is at least 50% nonuniversal when K2b2/6 = 6 ln 3. Extension of these results to DNA is examined theoretically, and good agreement of the pertinent predictions with published experimental data is demonstrated.It is concluded that no truly universal K3 region exists for DNA with Mr ≤ 107 and persistence length a ≥ 450 Å, although marginally (≤17% nonuniversal) universal behavior, is exhibited in a very narrow domain 0.64 × 1010 ≤ K2 ≤ 0.84 × 1010 cm-2 for φ29 DNA (Mr = 11.5 × 106). More than 50% of Dapp(K) is governed by local (elastic) rigid-body motions when K2 = 5.23 × 1010 cm-2. The existence of a very wide region of nonuniversal apparent K3 behavior extending up to very large K2, far into the plateau region, is demonstrated in a plot of Dapp(K)/K vs K2 for the Rouse-Zimm model. This is shown to stem in part from visual artifacts of plotting Dapp(K)/K vs K2, even for rigid species.

Notes: The rotational relaxation tiem τ3 of DNA molecules (Mw ≃ 5 × 106) in solution has been determined by the transient electric birefringence method. The analysis of the birefringence decay makes it possible to study only the higher-molecular-weight fraction, the molecules being considered as rigid elongated particles in a short time scale. A marked concentration dependence of the relaxation time has been observed for DNA in low ionic strengths. Above a critical concentration c*, τ3 increases with the DNA concentration, c. The value of c* increases with the ionic strength. For 10-3 ionic strength (with NaCl), c* is about 10 μg/mL; then we observe the same strong concentration dependence of rotational relaxation times as recently reported for rodlike M-13 viruses [Maguire, J. F., McTague, J. P. & Rondelez, F. (1980) Phys. Rev. Lett. 45, 1891-1894]. These results may be discussed in terms of the Doi-Edwards theory for rotational relaxation time of rigid macromolecules [Doi, M. (1975) J. Phys. 36, 607-611; Doi, M. & Edwards, S. F. (1978) J. Chem. Soc. Faraday Trans. 74, 918-932] and the critical concentration above which the interactions between the molecules begin to appear allows determining the corresponding molecular length. We observe a very good agreement between the DNA lengths obtained from the c* values and by using the infinite dilution value of τ3 and Broersma's equation. Therefore, only highly diluted solutions can be used if intrinsic molecular properties based on the rotational diffusion of high-molecular-weight elongated molecules are studied.

Notes: A thermodynamic treatment of the helix-coil transition of synthetic polypeptides in binary organic solvent mixtures is extended to describe isobaric heat-capacity increments associated with the phenomenon. This development resolves such increments into three components: two associated respectively with intrinsic differences between the ordered and disordered states of the macromolecule and between the coil-solvent complex and its components, and a third term derived from the temperature dependence in the fraction of coil residues bound to active solvent. Insights derived from this analysis are also applied to the discussion of some heat capacity increments associated with the denaturation of globular proteins.

Notes: The temperature dependence of the humidity-sensitive spacing, d, related to the lateral packing of collagen molecules was measured for fully hydrated collagen. In the vicinity of 0°C, a sudden change in d was observed, which was reversible with temperature. In the diffraction profile, below 0°C, a set of diffraction peaks identified with the hexagonal crystalline form of ice was observed. With the reduction in water content, the intensity of the set of diffraction peaks decreased and was found to be zero at a water content of 0.38 g/g collagen. These results were considered to be caused by the frozen water in collagen fibril below 0°C. According to the water content dependence of d, it was considered that up to a certain water content water absorbed would be stowed in the intermolecular space of collagen and above that water content water molecules would aggregate to make pools, i. e., extrafibrillar spaces. The unfreezable bound water was considered to be located in the intermolecular space of collagen. Size of the extrafibrillar space, determined from the intensity analysis of a smallangle x-ray scattering pattern, corroborates the speculation that the water showed in the extrafibrillar space is freezable and free. The formation of the hexagonal crystalline form of ice in the extrafibrillar space was considered to cause the sudden change in d at 0°C.