Corneal and scleral type I collagens: analyses of physical properties and molecular flexibility

The physical properties of type I collagen were studied by electron microscopy of rotary shadowed collagen molecules and laser light scattering techniques. The physical properties, molecular structure and flexibility of type I collagen molecules from two structurally and functionally different connective tissues, cornea and sclera, were similar when measured in HCl, pH 2.0. The molecular weights were 328 and 298 × 10² for corneal and scleral type I collagen, respectively, while the values of T_M were 33.7°C for both preparations. These values were in agreement with those obtained for other type I collagens. The higher level of glycosylation in corneal versus scleral type I collagen did not significantly modify the physical properties of type I collagen in acid solution or the charge distribution along the molecule as determined from the positively stained SLS banding patterns. Our morphological studies indicated that the collagen molecule, although relatively flexible based on electron microscopy, behaved as a long thin rod in solution. The mean end-to-end distances measured from electron micrographs were 253 and 256 nm for corneal and cler type I collagen, respectively, while the molecular contour lengths were 298 and 305 nm. The translational diffusion coefficients (0.849 and 0.857 × 10^?7cm²s^?1) were consistent with the contour lengths while the reported values in the literature for the rotational diffusion coefficient of type I collagen were consistent with the end-to-end distances. The intermediate value for molecular length obtained from the particle scattering factor (277 nm) reflects contributions from all possible molecular configurations.     

Free and centrosome-attached microtubules: Quantitative analysis and modeling of two-component system

In cultivated in vitro interphase animal cells, microtubules form a network whose density is highest in the central cell area, in the region of centrosome, and decreases towards the cell periphery. Since identification of individual microtubules in the central cell area is significantly difficult and more often is impossible, there are several approaches to studying microtubules in the internal cell cytoplasm. These approaches are based on a decrease of microtubule density—both real, due to their partial depolymerization (by the action of cold temperatures or cytostatics), or apparent, due to a decrease of cell thickness (by photobleaching of preexisting microtubules and analysis of newly formed ones). In the present work, we propose a method based on the determination of optical density which allows evaluation of the state of the cytoplasmic microtubule system as a whole. The method consists of a comparison of the dependences describing changes of the microtubule optical density from the cell center to the periphery in controls and in experiments. Analysis of living cells by the proposed method has shown that the character of curves describing the decrease of optical density from the cell center to its periphery is different for various cell types; the dependence can be described both as an exponential regression (the CHO cell line) and as a linear regression (the NIH-3T3 and REF cell lines). Our previous studies have allowed the suggestion that the character of the dependence is determined by the ratio of free and centrosome-attached microtubules and by the position of their ends in the cell cytoplasm. To test this hypothesis, we considered model systems with all microtubules assumed to be in a straight orientation and divergent radially from the centrosome, but with different arrangements of plus-and minus-ends. In the model system, in which all the microtubule minus-ends are attached to the centrosome while the plus-ends are at different distances from it, the microtubule density is described by the exponential (f(x) = ae ^?bx ). Introduction of free microtubules into the system leads to a change of the character of this dependence, and the system in which the concentration of free microtubules with minus ends located at different distances from the cytoplasm is 5 times higher than that of the centrosome-attached microtubules is described by the linear regression equation (f(x) = k ^* x + b), which corresponds to the experimentally obtained dependences for 3T3 and REF cells. Thus, we believe that even in cells with a radial microtubule system, free microtubules may constitute the majority.     

Changes of ghrelin and brain natriuretic peptide levels in systemic vascular resistance after cardiopulmonary bypass

The application of cardiopulmonary bypass (CPB) using a heart-lung machine in open heart surgery is associated with numerous pathophysiological changes in the vascular system and the neurohormonal environment. In this study our purpose was to investigate whether the hormones brain natriuretic peptide (BNP) and ghrelin are involved in changes in the systemic vascular resistance index (SVRI) after CPB, using data from 20 patients who had undergone coronary artery by pass grafting accompanied by CPB. Hemodynamic measurements were obtained using a thermodilution catheter and included cardiac index and systemic vascular resistance index. Blood samples were taken before CPB, after CPB, and at 0 and 24 h postoperatively. The blood levels of total and acylated ghrelin were quantified by radioimmunoassay. Blood levels of BNP were measured by a fluorescence immunoassay kit. The SVRI was significantly higher at the end of CPB and at 0 h postoperatively than before CPB (end of CPB: 4282±1035 dyne·s·cm^?5·m^?2, 0 h postoperatively: 3239±635 dyne·s·cm^?5·m^?2 vs. before CPB: 2289±330 dyne·s·cm^?5·m^?2, p<0.05). Total and acylated ghrelin levels decreased until 0 h postoperatively but the change was not statistically significant. However, at 24 h after surgery, they showed a statistically significant increase over the initial ghrelin values (total before CPB: 1413.71±287.93 pg/ml vs. 24 h postoperatively: 1736.85±236.89 pg/ml; acylated ghrelin before CPB: 55.85±25.53 pg/ml vs. 24 h postoperatively: 106.28±30.86 pg/ml; p<0.05 for both). BNP values were markedly lower after than before CPB (before CPB: 69.07±48 pg/ml vs. after CPB: 21.96±13 pg/ml, p<0.05) and reached a maximum value 24 h postoperatively (before CPB: 56.3±42 vs. after CPB: 454.7±229 pg/ml, p<0.05). There was a weak negative correlation between the changes in SVRI and total and acylated ghrelin levels after the CPB period, but this was not statistically significant. However, there was a statistically significant negative correlation between SVRI and BNP after CPB and at 24 h postoperatively (r:?0.709, p<0.01 and r:?0.649, p<0.03, respectively). Taken together, our results show that the observed initial increases in ghrelin and/or BNP in the postoperative period (at 24 h) might be causally related to the decrease in the SVRI in the same period. However, further investigations are needed to clarify the significance of this observation with respect to that of SVRI.     

Backscattering of gyrotron radiation and short-wavelength turbulence during electron cyclotron resonance plasma heating in the L-2M stellarator

Backscattering of gyrotron radiation (θ = π) by short-wavelength density fluctuations (k _⊥ = 30 cm^?1) in the plasma of the L-2M stellarator was studied under conditions of electron cyclotron resonance (ECR) plasma heating at the second harmonic of the electron gyrofrequency (75 GHz). The scattering of the O-wave emerging due to the splitting of the linearly polarized gyrotron radiation into the X- and O-waves was analyzed. The signal obtained after homodyne detection of scattered radiation is a result of interference of the reference signal, the quasi-steady component, and the fast oscillating component. The coefficients of reflection of the quasi-steady component, R ₌ ² (Y), and fast oscillating component, R _～ ² (Y), of scattered radiation are estimated. The growth of the R _～ ² (Y) coefficient from 3.7 × 10^?4 to 5.2 × 10^?4 with increasing ECR heating power from 190 to 430 kW is found to correlate with the decrease in the energy lifetime from 1.9 to 1.46 ms. The relative density of short-wavelength fluctuations is estimated to be 〈n _～ ² 〉/〈n _e ² 〉 = 3 × 10^?7. It is shown that the frequencies of short-wavelength fluctuations are in the range 10–150 kHz. The recorded short-wavelength fluctuations can be interpreted as structural turbulence, the energy of which comprises ～10% of the total fluctuations energy. Simulations of transport processes show that neoclassical heat fluxes are much smaller than anomalous ones. It is suggested that short-wavelength turbulence plays a decisive role in the anomalous heat transport.     

Calcium ionophores A23187 and X537A affect cell agglutination by lectins and capping of lymphocyte surface immunoglobulins

The microtubule-disruptive drugs colchicine and vinblastine alter ligand-induced redistribution of cell surface immunoglobulins and lectin receptors. These effects can be duplicated by treatment of cells with the divalent cation ionophores A23187 and X537A. Ionophore activity was dependent upon the presence of Ca²⁺ (1.8·10^?3?4·10^?4 M) in the culture medium. The K⁺-selective ionophore valinomycin had no effect on ligand-induced redistribution of surface receptors. It is suggested that A23187 and X537A impair membrane-associated microtubules involved in transmembrane control of receptor mobility and topography. In contrast to the action of colchicine and vinblastine that bind directly to microtubules, it is proposed that ionophores indirectly affect microtubules by raising the concentration of Ca²⁺ in the cytoplasm to levels that favor microtubule depolymerization and inhibit microtubule assembly.     

Shape of the ciliary doublet microtubule in solution

The individual doublet microtubule (DMT) from Tetrahymena cilia had the appearance of a circular arc in solution and its contour length was around 5 to 6 μm as observed under a dark-field microscope. One end of the circular arc was exactly in focus on the slide under the microscope, whereas the other end was slightly out of focus, suggesting that the circular arc may be regarded as a part of a coiled helix. On measuring the contour length and the end-to-end distance of the arc in solution, we found that the Ca-induced transformation of the ciliary DMT took place at a Ca concentration of about 10^?6m in the medium; that is, the radius of the arc was 3.4 ± 0.9 μm at 10^?3m-Ca and 1.5 ± 0.1 μm at less than 10^?6m-Ca. Change in the pH of the medium brought about no significant difference in the radius of the arc of the DMT. The individual DMT of a negatively stained sample appeared to have a configuration similar to that of the circular arc in solution, bending at right angles to the partition wall between the A and B-tubules. Based on the criterion that the A-tubule is wider than the B-tubule, we found that the A-tubule occurred on the outer side of the circular arc in 90 to 100% of the samples.     

Protection of mouse spermatogonia against x-ray induced translocations

Adult male C57BL mice were exposed to 75, 150, 300 or 450 R X-rays with or without pre-treatment with Adeturon (S-2-aminoethyl-isothiuronium bromide hydrobromide (AET) adenosine triphosphate, 500 mg/kg b.w.). Twelve weeks later, primary spermatocytes were examined cytologically at diakinesis-metaphase I for persisting chromosomal translocations, namely multivalents in the form of rings or chains.For the dose range studied, regression analysis indicated that the data were best fitted to the equation Y = aD + bD² with coefficients for translocated-cell and translocations-per-cell yields, respectively, a = 1.57·10^?2 and 1.59·10^?2 and b = ?2.29·10^?5 and ?2.09·10^?5, for Adeturon protected irradiated animals vs.a = 1.80·10^?2 and 2.05·10^?2, and b = ?0.94·10^?5 and ?1.19·10^?5, in non-protected irradiated animals.Adeturon protection of heritable structures in mouse germ cells showed a dose reduction factor of about 2.     

Lateral diffusion and patch formation of H-2Kk antigens on mouse spleen lymphocytes

We have studied the diffusion and aggregation of H-2K^k antigens labeled with a fluorescent anti-H-2K^k monoclonal antibody (IgG) on mouse splenic lymphocytes, employing fluorescence photobleaching recovery and fluorescence microscopy. The H-2K^k antigens were initially distributed homogeneously on all lymphocytes. Upon antibody binding, sub-micron patches were formed on 50–60% of the cells. A lateral diffusion coefficient, D, of 7.1·10^?10 cm²/s and a mobile fraction of 0.73 were found for H-2K^k antigens on diffusely-labeled cells, while these antigens were immobile (D?5·10^?12 cm²/s) on patched cells. The patched and nonpatched sub-populations did not correspond to B- and T-lymphocytes. Subjection to low temperature or treatment with NaN₃ or cytoskeleton-disrupting drugs did not affect the diffusion or patching of H-2K^k, indicating no involvement of metabolic energy or drug-sensitive cytoskeletal components. These findings could be related to the interactions of H-2 antigens on the cell surface, and to the different susceptibilities of various cells to lysis by cytotoxic T-cells.     

Purification and characterization of two β-N-acetylhexosaminidases from the tobacco hornworm,Manduca sexta (L.) (Lepidoptera: Sphingidae)

β-N-Acetylhexosaminidases were detected in 10 insects including species of Lepidoptera, Coleoptera, Hemiptera, and Orthoptera. Two enzymes were purified from the tobacco hornworm, Manduca sexta (L.). EI was detected in larval and pharate pupal molting fluid, integument, and pupal hemolymph while EII was found in larval and pupal hemolymphs. They are acidic hydrolases with similar molecular weights (6.1 × 10⁴), molar extinction coefficients at 280 nm (1.9 × 10⁵ liters mol^?1 cm^?1), and pH optima (pH 6). They differ in the number of polypeptide chains per molecule (EI is a single chain and EII consists of two polypeptide chains), amino acid composition, extent of glycosylation (EII is probably a glycoprotein), isoelectric point (pI_EI = 5.9 and pI_EII ～- 5.1), tissue distribution, and reactivities toward nitrophenylated N-acetylglucosamine (k_cat,I = 328 s^?1 and k_cat,II = 103 s^?1) and N,N′-diacetylchitobiose (k_cat,I = 307 s^?1 and k_cat,II = 3 s^?1). These results suggest that EI is a chitinase and that EII may function as a hexosaminidase in vivo.     

Interaction of vinblastine with steady-state microtubules in vitro

At low concentrations, vinblastine binds rapidly and reversibly to a very limited number of high affinity sites on steady-state bovine brain microtubules (mean K_d, 1.9 × 10^?6m; 16.8 ± 4.3 vinblastine binding sites per microtubule) which appear to be located at one or both ends of the microtubules. At high concentrations, vinblastine binds to a high binding capacity class of sites of undetermined affinity, located on helical strands of protofilaments which form at the ends of depolymerizing microtubules, and/or along the surface of the microtubules. Substoichiometric inhibition of microtubule assembly, which occurs at low vinblastine concentrations, appears to be due to the binding of vinblastine to the high affinity class of sites. Fifty per cent inhibition of tubulin addition to the net assembly ends of steady-state microtubules occurred at 1.38 × 10^?7m-drug, and at this concentration, 1.16 ± 0.27 molecules of vinblastine were bound to the high affinity class of sites. Vinblastine appeared to bind directly to the microtubule ends, and our results indicate that vinblastine inhibits the assembly of steady-state bovine brain microtubules by binding rapidly and with high affinity to one or two molecules of tubulin at the net assembly ends. Splaying and peeling of protofilaments at microtubule ends and the active depolymerization of microtubules occurred only at vinblastine concentrations greater than 1 × 10^?6 to 2 × 10^?6m. This action of vinblastine is associated with and may be due to the binding of vinblastine to the high capacity class of sites. Both actions of vinblastine may be due to the binding of vinblastine to the same binding sites on the tubulin molecule, with the sites exhibiting either a high or low affinity depending upon the location in the microtubule.     

Stopped-flow kinetic study of the regeneration reaction of tocopheroxyl radical by reduced ubiquinone-10 in solution

Kinetic study of the reaction between tocopheroxyl (vitamin E radical) and reduced ubiquinone, n = 10) has been performed. The rates of reaction of ubiquinol with α-tocopheroxyl 1 and seven kinds of alkyl substituted tocopheroxyl radicals 2–8 in solution have been determined spectrophotometrically, using a stopped-flow technique. The result shows that the rate constants decrease as the total electron-donating capacity of the alkyl substituents on the aromatic ring of tocopheroxyls increases. For the tocopheroxyls with two alkyl substituents at ortho positions (C-5 and C-7), the second-order rate constants, k₁, obtained vary i n the order of 10², and decrease predominantly, as the size of two ortho-alkyl groups (methyl, ethyl, isopropyl and tert-buty) in tocopheroxyl increases. On the other hand, the reaction between tocopheroxyl and ubiquinone-10 (oxidized ubiquinone) has not been observed. The result indicates that ubiquinol-10 regenerates tocopherol by donating a hydrogen atom of the 1-OH and/or 4-OH group to the tocopheroxyl radical. For instance, the k₁ values obtained for α-tocopheroxyl are 3.74 · 10⁵ M^?1 · s^?1 and 2.15 · ⁵ M^?1 · s^?1 in benzene and ethanol solution at 25°C, respectively. The above reaction rates, k₁, obtained were compared with those of vitamin C with α-tocopheroxyl reported by Packer et al. (k₂ = 1.55 · 10⁶ M^?1 · s^?1) and Scarpa et al. (K₂ = 2 · 10⁵ 10⁵ M^?1 · s^?1), which is well known as a usual regeneration reaction of tocopheroxyl in biomembrane systems. The result suggests that ubiquinol-10 also regenerates the tocopheroxyl to tocopherol and prevents lipid peroxidation in various tissues and mitochondria.     

Kinetics of some electron-transfer reactions in biological photosystems. I. Pulse radiolysis study of spinach ferredoxin reduction by the hydrated electron and CO−2 radical

The reduction of spinach ferredoxin by the CO^?₂ radical and the hydrated electron (e^?_aq) has been studied by pulse radiolysis in the pH range between 5.05 and 9.67. The reduction of oxidized spinach ferredoxin by both CO^?₂ and e^?_aq was found to be essentially quantitative. The CO^?₂ radical reduces spinach ferredoxin by a single second-order process at a rate k₅ = (6.2 ± 0.6) · 10⁷ M^?1 · s^?1. Reduction by e^?_aq follows a biphasic pathway. The first phase obeys second-order kinetics for the reduction of the cluster, k_app = (9.4 ± 0.3) · 10⁹ M^?1 · s^?1. The second phase follows an intramolecular first-order reaction k_B = (8.3 ± 1.7) · 10² s^?1 which is observed as a further reduction of the active site. Spectral changes accompanying the reduction of oxidized spinach ferredoxin in the ultraviolet and visible range are discussed.     

Tubulin subunit sorting: Analysis of the mechanisms involved in the segregation of unique tubulin isotypes within microtubule copolymers

Summary Vertebrate cells contain biochemical and genetic isotypes of tubulin which are expressed in unique combinations in different tissues and cell types. To determine if mixtures of tubulin isotypes assemblein vitro to form different classes of microtubules, we analyzed the composition of microtubule copolymers assembled from mixtures of chicken brain and erythrocyte tubulin. During microtubule elongation brain tubulin assembled onto the ends of microtubules faster than erythrocyte tubulin, resulting in copolymers with continually changing ratios of isotypes along their lengths. Unlike examples of microtubule assembly where the rate of polymerization depends on the association rate constant (k⁺) and the subunit concentration, the rate and extent of sorting in copolymers appear to depend on the dissociation rate constant (k^–), which governs the rate at which subunits are released from tubulin oligomers and microtubules and thereby made available for reassembly into copolymers. The type of microtubule seed used to initiate elongation was also found to influence the composition of copolymers, indicating that polymerization favors association of subunits of the same isotype.     

Reaction of cythchrome c with one-electron redox reagents. I. Reduction of ferricytochrome c by the hydrated electron produced by pulse radiolysis

Pulse radiolysis-kinetic spectrometry has been used to investigate the reaction of hydrated electrons with ferricytochrome c in dilute aqueous solution at pH 6.5–7.0. Time resolutions from 2·10^?7 to 1 s were employed. Transient spectra from 320 to 580 nm were characterized with a wavelength resolution of ±0.5 nm. 1 In neutral salt-free solution, k(ferricytochrome c+e^?_aq)=(6.0±0.9)·10¹⁰ M^?1·s^?1 and k(ferricytochrome c+H)=(1.2±0.2)·10¹⁰ M^?1·s^?1. The reaction of ferricytochrome c with hydrated electrons is sensitive to ionic strength; in 0.1 M NaClO₄, k(ferricytochrome c+e^?_aq)=(2.4±0.4)·10¹⁰ M^?1·s^?1. In contrast, k(ferricytochrome c+H) is insensitive to ionic strength. Time resolution of three spectral stages has been accomplished. The primary spectrum is the first observable spectrum detectable after irradiation and is formed in a second-order process. Its rate of formation is indisting-uishable from the rate of disappearance of the electron spectrum. The secondary spectrum is generated in a true first order intramolecular process, k(p→s)=(1.2±0.1)·10⁵ s^?1. The tertiary spectrum is also generated in a true first-order process, k(s→t)=(1.3±0.2)·10² s^?1. The specific rates of both transformations are independent of the wavelength of measurement. The tertiary spectrum, observable 50 ms after initial reaction and remaining unchanged thereafter for at least 1 s, shows that relaxed ferrocytochrome c is the only detectable product. This product is not autoxidizable, as expected for native reduced enzyme. It is more probable that the intramolecular changes responsible for the p→s and s→t spectral transformations involve the influence of conformational relaxation of ferrocytochrome c upon electronic energy states then that they are intramolecular transmission of reducing equivalents from primary sites of electron attachment.     

The yield of chlorophyll a fluorescence as a means to test the various deexcitation mechanisms in the antenna system of green plants

With the aid of measurements of the fluorescence yield, the efficiency of the various deexcitation mechanisms of an exciton in the light-harvesting system has been determined. For this purpose, the fluorescence of dark-adapted as well as of 3-(3,4-dichlorophenyl)-1,1-dimethylurea (DCMU)-treated and preilluminated leaves of Zea mays L. was excited by single ultrashort laser pulses of different energies. The experimental results have served for the fitting of solutions of rate equations, which describe the deexcitation by linear relaxation processes like fluorescence and radiationless transitions, by annihiation of excitons, and by traps both in the ground state and in an excited state. We have obtained the following results: a ratio of antenna chlorophyll molecules to Photosystem II traps of 600:1, an annihilation constant γ = 2·10^?8 cm³·s^?1, a mean trapping time of $\text{t}\text{?}\text{=0.5}\text{ns}$, a trapping probability for traps in the ground state of 2·10^?8 cm³·s^?1, and 6·10^?9 cm³·s^?1 for traps in an excited state.     

Quantitative analysis of the microtubule system in isolated fish melanophores

Isolated melanophores of the angelfish, Pterophyllum scalare, have been used in a morphometric analysis and a quantitative study of their microtubule system. Using transverse sections spaced at regular intervals, the changes associated with the process of pigment aggregation have been determined. Upon the concentration of pigment granules in the central cell region, almost half of the cytoplasmic portion is also withdrawn from the peripheral cell regions. Counts of microtubules within a cell sector in cells with pigment aggregated and dispersed, respectively, reveal (a) a constancy of the number of microtubules in this sector regardless of the distance from the cell center, and (b) a reduction of microtubule number in cells with pigment aggregated by about 58%. On the basis of these counts, the total number of microtubules has been calculated. In the dispersed state, about 2,400 microtubules extend between the center and the periphery of the cell, while their number is about 1,000 in the aggregated state. Using a 13-protofilament model of a microtubule and relevant data on size and molecular weight of microtubule subunits, the amount of tubulin present as microtubules is calculated. In the average, the cells contain 1.95·10⁸ monomers corresponding to 1.78·10^?8 mg tubulin. A tentative estimation of the concentration of tubulin inside a melanophore yields values of 6.1 mg/ml for the whole cell and 16.5 mg/ml for the cytoplasm alone (excluding membrane-bound organelles). Based on this estimation, a comparison, with microtubule assembly in vitro is made.     

A quasi-elastic laser light scattering study of tubulin and microtubule protein from bovine brain

Quasi-elastic light scattering has been used to characterize the oligomeric properties of solutions of glycerol-cycled bovine microtubule protein, and the properties of the 30 S oligomeric species and 6 S tubulin heterodimer prepared by gel filtration on Sepharose 6B. It is shown that in dimer preparations, as little as 0.04% by number of 30 S rings would account for the difference between an observed mean diffusion coefficient D_{20, W} = 3.1 × 10^?7 cm² s^?1 and the value of D_{20, W} = 5.1 × 10^?7 cm² s^?1 calculated for tubulin dimer of M_rel 100,000. The 30 S ring has an observed diffusion coefficient of D_{20, W} = 0.49 × 10^?7 cm² s^?1. These values are not changed significantly by the presence of 4 m-glycerol, indicating the persistence of 6 S and 30 S forms for dimer and ring, respectively.Mixtures of ring and dimer components of this preparation behave as a non-interacting two-component system, indicating the absence of substantial re-equilibration between the species at 5 °C and pH 6.5.The effect of salt on ring and microtubule protein samples indicates partial dissociation, consistent with the formation of additional intermediate oligomeric forms.In quasi-elastic light scattering measurements adapted to kinetic studies, changes in the oligomeric composition of microtubule protein are detected in the early stages of the reversible assembly process at pH 6.5. A 25% decrease in scattered light intensity, without significant change in mean diffusion coefficient, indicates the lability of the ring oligomeric structures, which undergo partial transformation to alternative oligomeric species under these assembly conditions.     

The dissociation of insulin from human insulin antibodies

The dissociation of insulin from human insulin antibodies has been investigated using a technique that is rapid and does not require addition of excess unlabelled insulin. A slow (k₁ = 2·1^?3 min^?1 and a fast (k₂ = 4·10^?2 min^?1) dissociating antibody component were identified in all studies. These have been shown to correspond, respectively, to the high and low affinity antibody components of equilibrium binding studies. The range of k₁ and k₂ values and their response to temperature change is small. Insulin resistance and stability of diabetes are not related to properties of antibody dissociation. Dissociation is faster in the presence of high (6–850 nM) insulin concentration due to increased binding to the fast dissociating component without change in the dissociation rate constants. When incubation time is increased beyond achivement of maximal binding there is a time-dependent rise in binding to the slow dissociating component, with a concomitant fall in k₁. The traditional concept that equilibrium is established at maximum binding requires further examination.     

Fluctuations and mechanical strength of α-helices of polyglycine and poly(L-alanine)

By using the static correlations of fluctuations in the dihedral angles of the α-helices of polyglycine and poly(L -alanine) calculated previously, geometrical fluctuations of a section (consisting of up to 18 peptide units) of the α-helices of infinite length are calculated. These fluctuations are found to differ in some respects (e.g., the dependence of amplitudes on the length of section) from those of a circular rod made of homogeneous continuous material. However, the moduli of the mechanical strengths (tensile Young's modulus, bending Young's modulus, and the shear modulus) of a circular rod are calculated, whose geometrical fluctuations are approximately equal to the fluctuations of a section consisting of 18 peptide units. They are of the order of 10¹¹ dyn/cm². The tensile rigidity, flexural rigidity, and torsional rigidity are calculated to be 1.20 × 10^?3 dyn, 2.46 × 10^?19 dyn·cm² and 1.79 × 10^?19 dyn·cm² for polyglycine, and 1.96 × 10^?3 dyn, 4.05 × 10^?19 dyn·cm² and 3.28 × 10^?19 dyn·cm² for poly(L -alanine), respectively.     

The reaction between cytochrome C1 and cytochrome C

The kinetics of electron transfer between the isolated enzymes of cytochrome c₁ and cytochrome c have been investigated using the stopped-flow technique. The reaction between ferrocytochrome c₁ and ferricytochrome c is fast; the second-order rate constant (k₁) is 3.0 · 10⁷ M^?1 · s^?1 at low ionic strength (I = 223 mM, 10°C). The value of this rate constant decreases to 1.8 · 10⁵ M^?1 · s^?1 upon increasing the ionic strength to 1.13 M. The ionic strength dependence of the electron transfer between cytochrome c₁ and cytochrome c implies the involvement of electrostatic interactions in the reaction between both cytochromes. In addition to a general influence of ionic strength, specific anion effects are found for phosphate, chloride and morpholinosulphonate. These anions appear to inhibit the reaction between cytochrome c₁ and cytochrome c by binding of these anions to the cytochrome c molecule. Such a phenomenon is not observed for cacodylate. At an ionic strength of 1.02 M, the second-order rate constants for the reaction between ferrocytochrome c₁ and ferricytochrome c and the reverse reaction are k₁ = 2.4 · 10⁵ M^?1 · s^?1 and k_?1 = 3.3 · 10⁵ M^?1 · s^?1, respectively (450 mM potassium phosphate, pH 7.0, 1% Tween 20, 10°C). The ‘equilibrium’ constant calculated from the rate constants (0.73) is equal to the constant determined from equilibrium studies. Moreover, it is shown that at this ionic strength, the concentrations of intermediary complexes are very low and that the value of the equilibrium constant is independent of ionic strength. These data can be fitted into the following simple reaction scheme: cytochrome c²⁺₁ + cytochrome c³⁺ai cytochrome c³⁺₁ + cytochrome c²⁺.