Is it always correct to use the Marcus cross relation for calculations of electron self-exchange rates?

The rate constant of the electron self-exchange reaction, which proceeds via the outer sphere mechanism, k₁₁, of a redox couple, reflects the basic tendency of the reaction to participate in redox processes. Often k₁₁ is derived from the rate constant of a redox reaction, k₁₂, by applying the Marcus cross relation: k₁₂ = (k₁₁k₂₂K₁₂f₁₂)^1/2W₁₂. This derivation is based on the assumption that the products of the cross reaction are formed in their ground states. However, the k₁₁ values obtained by this method for several redox systems, e.g. for [Co(NH₃)₆]^3+/2+, Cu^2+/+(aq) and Eu^3+/2+(aq), depend strongly on the redox reaction studied for its derivation. It is proposed that these discrepancies are due to the formation, in some of these reactions, of products in vibrationally excited states and/or as isomers of the final products. Thus, the lowest value of k₁₁ obtained experimentally is either correct or an upper limit for the correct value if correct k₂₂ are used.     

Crowding Effects on Association Reactions at Membranes

The effect of macromolecular crowding on the binding of ligands to a receptor near membranes is studied using Brownian dynamics simulations. The receptor is modeled as a reactive patch on a hard surface and the ligands and crowding agents are modeled as spheres that interact via a steep repulsive interaction potential. When a ligand collides with the patch, it reacts with probability p_rxn. The association rate constant (k_∞) can be decomposed into contributions from diffusion-limited (k_D) and reaction-limited (k_R) rates, i.e., 1/k_∞ = 1/k_D + 1/k_R. The simulations show that k_D is a nonmonotonic function of the volume fraction of crowding agents for receptors of small sizes. k_R is always an increasing function of the volume fraction of crowding agents, and the association rate constant k_∞ determined from both contributions has a qualitatively different dependence on the macromolecular crowding for high and low values of the reaction probability p_rxn. The simulation results are used to predict the velocity of the membrane protrusion driven by actin filament elongation. Based on the simple model where the protrusive force on the membrane is generated by the intercalation of actin monomers between the membrane and actin filament ends, we predict that crowding increases the local concentration of actin monomers near the filament ends and hence accelerates the membrane protrusion.     

Reactions of iron-sulfur proteins with the aquated electron

The reaction of parsley 2Fe-2S ferredoxin in the normal oxidized state with e_aq^? generated by pulse radiolysis techniques has been studied at ～25°C, pH 7–8, I = 0.10 M (NaClO₄). Rate constants k_e (e_aq^? decay) and k_p (protein absorbance change) are the same, second-order rate constant 9.7 × 10⁹ M^?1 sec^?1. The reaction exhibits close to 100% efficiency. With 8Fe-8S ferredoxin from Clostridium pasteurianum under identical conditions it now appears that k_p (although sometimes significantly smaller) is equal to k_e. Varying efficiencies are also observed with this protein depending on the batch used. The reasons for such variable behavior are not fully understood. With oxidized and reduced forms of Chromatium v. high-potential iron-sulfur protein (HIPIP), k_e and k_p are essentially the same, but the highest efficiency observed is only ～50%. The prevailing pattern is therefore that rate constants k_e and k_p are generally in step for proteins having a single (or identical) active site(s). When the active site is buried as with HIPIP the efficiency of the reaction appears to decrease.     

Inhibition of cobalt(II) carboxypeptidase A by ligands. Kinetic evidence for the formation of a ternary enzyme-metal-ligand complex

Saturation kinetics are observed in the inhibition of cobalt carboxypeptidase A by the chelating agent 1,10-phenanthroline. The association constant K₁ for the formation of the enzyme-metal-ligand ternary complex and k₂, the rate of breakup of the ternary complex, have been obtained. A mechanism is proposed to account for the pH profile of the reaction which, in conjunction with K₁, permits the calculation of the individual rate constants k₁, K_?1, k₂, k₃. The magnitude of the rate constant k₁ suggests that cobalt(II) in CoCPA is five-coordinate. Similar but less extensive studies on inhibition by 2,2′-bipyridyl and 8-hydroquinoline-5-sulfonic acid have also been carried out     

Nickel(II) ion-catalyzed hydrolysis of acetyl esters of 2-pyridineoxime derivatives: Effects of geometry around central metal atom on the efficiency of metal ion catalysis

The kinetics of the Ni(II)-catalyzed ester hydrolysis of O-acetyl-2-pyridine-carboxaldoxime, O-acetyl-2-acetylpyridineketoxime, and O-acetyl-6-carboxy-2-pyridine-carboxaldoxime are measured and the values of various k_cat parameters are calculated for reaction paths involving one metal ion (k_cat^W and k_cat^OH) and two metal ions k_cat^A and k_cat^B). Examination of the kinetic data reveals that the k_cat^W and k_cat^OH paths for the Ni(II)-catalyzed reactions involve the same mechanism as those for the previously reported Cu(II)-catalyzed reactions. For the k_cat^A and k_cat^B paths, the mechanism involving binuclear Ni(II) ions is preferred by analogy with the previously reported Zn(II)-catalyzed reactions. Comparison of k_cat^OH values for the Cu(II)- and Ni(II)-catalyzed hydrolysis of 1–3 indicates that markedly different steric effects are exerted by the substituents of 2 and 3 on the catalytic behavior of the two metal ions. This is explained in terms of differences in the fit of the metal ions in the metal complexes of 1–3. Present results demonstrate that slight changes in the geometry around the central metal atom can affect the catalytic outcome significantly. The implications of the present results on metal substitution in metalloenzymes are also discussed.     

The mechanism of hydrolysis of phthalamic and N-phenylphthalamic acid: The spectrophotometric detection of phthalic anhydride as an intermediate

Phthalic anhydride has been detected spectrophotometrically in the hydrolysis of phthalamic acid and N-phenylphthalamic acid in solutions which were made up to 5 M with sodium perchlorate. In solutions of lower ionic strength the variation of k_obs with acid concentration follows the equation, k_obs=(k₁ + k₂ [H₃O⁺])/(1 + K_a/[H₃O⁺]), and the values of k₁ and k₂ are both enhanced. The p values for the variation of k₁ and k₂ with the aryl group for the hydrolysis of N-arylphthalamic acids are ?1.23 and ?0.94. A mechanism involving nucleophilic catalysis by the carboxyl group in which breakdown of the tetrahedral intermediate is rate-limiting was proposed.     

Influence of membrane structure on the kinetics of carrier-mediated ion transport through lipid bilayers

Charge-pulse relaxation experiments of valinomycin-mediated Rb⁺ transport have been carried out in order to study the influence of membrane structure on carrier kinetics. From the experimental data the rate constants of association (k_R) and dissociation (k_D) of the ion-carrier complex as well as the rate constants of translocation of the complex (k_MS) and of the free carrier (k_S) could be obtained. The composition of the planar bilayer membrane was varied in a wide range. In a first series of experiments, membranes made from glycerolmonooleate dissolved in different n-alkanes (n-decane to n-hexadecane), as well as solvent-free membranes made from the same lipid by the Montal-Mueller technique were studied. The translocation rate constants k_S and k_MS were found to differ by less than a factor of two in the membranes of different solvent content. Much larger changes of the rate constants were observed if the structure of the fatty acid residue was varied. For instance, an increase in the number of double bonds in the C₂₀ fatty acid from one to four resulted in an increase of k_S by a factor of seven and in an increase of k_MS by a factor of twenty-four. The stability constant K = k_R/k_D of the ion-carrier complex as well as the translocation rate constants k_S and k_MS were found to depend strongly on the nature of the polar headgroup of the lipid. The incorporation of cholesterol into glycerolmonooleate membranes reduced k_R, k_MS and k_S up to seven-fold.     

On the problem of comparing protein structures: Development and applications of a new method for the assessment of structural similarities of polypeptide conformations

The development of prediction schemes and the search for evolutionary relationships amongst proteins require reliable methods for the comparison of polypeptide structures. It is shown that methods which attempt to describe structural similarities by a single value generally do not yield reliable estimates of the relatedness of two conformations. A new method is reported, called the D_k procedure, which yields a spectrum of deviations between two structures. Each particular D_k value is a measure of the similarity of the diagonals of the distance matrices of the compared conformations, k being the distance of the diagonals relative to the main diagonal.The method has the following features. (1) D_k is independent of chain length; (2) the method yields the relatedness of two conformations in terms of different structural levels; (3) D_k is a high-speed algorithm; (4) the D_k deviations of random structures from any particular conformation are predictable.The following applications are reported. (1) The success of both secondary and tertiary structure predictions are measured in terms of a reliable quality index. (2) The route of a conformation during simulation studies is followed on different structural levels, which exhibit the characteristics of the simulation. (3) The significance of hypotheses on protein folding subject to prediction schemes can be established. (4) A priori information (fixing pieces of secondary structure derived from X-ray investigations during prediction) is extractable from the predicted structures. (5) The evolutionary relatedness of two nucleotide binding proteins is established.The simplicity and speed of the D_k procedure allow its implementation even on minicomputers.     

Potential Hg methylation and MeHg demethylation rates related to the nutrient status of different boreal wetlands

Despite methylmercury (MeHg) production in boreal wetlands being a research focus for decades, little is known about factors in control of methylation and demethylation rates and the effect of wetland type. This is the first study reporting potential Hg methylation (k _m ) and MeHg demethylation rate constants (k _d ) in boreal wetland soils. Seven wetlands situated in northern and southern Sweden were characterized by climatic parameters, nutrient status (e.g. type of vegetation, pH, C/N ratio, specific UV-absorption), iron and sulfur biogeochemistry. Based on nutrient status, the wetlands were divided into three groups; (I) three northern, nutrient poor fens, (II) a nutrient gradient ranging from an ombrotrophic bog to a fen with intermediate nutrient status, and (III) southern, more nutrient rich sites including two mesotrophic wetlands and one alder (Alnus) forest swamp. The k _m /k _d ratio in general followed %MeHg in soil and both measures were highest at the fen site with intermediate nutrient status. Northern nutrient poor fens and the ombrotrophic bog showed intermediate values of %MeHg and k _m /k _d . The two mesotrophic wetlands showed the lowest %MeHg and k _m /k _d , whereas the alder swamp had high k _m and k _d , resulting in an intermediate k _m /k _d and %MeHg. Molybdate addition experiments suggest that net MeHg production was mainly caused by the activity of sulfate reducing bacteria. A comparison with other studies, show that k _m and %MeHg in boreal freshwater wetlands in general are higher than in other environments. Our results support previous suggestions that the highest MeHg net production in boreal landscapes is to be found in fens with an intermediate nutrient status.     

The reversibility of adenosine triphosphate cleavage by myosin

For the simplest kinetic model the reverse rate constants (k₋₁ and k₋₂) associated with ATP binding and cleavage on purified heavy meromyosin and heavy meromyosin subfragment 1 from rabbit skeletal muscle in the presence of 5mm-MgCl₂, 50mm-KCl and 20mm-Tris–HCl buffer at pH8.0 and 22°C are: k₋₁<0.02s⁻¹ and k₋₁=16s⁻¹. Apparently, higher values of k₋₁ and k₋₂ are found with less-purified protein preparations. The values of k₋₁ and k₋₂ satisfy conditions required by previous ¹⁸O-incorporation studies of H₂¹⁸O into the P_i moiety on ATP hydrolysis and suggest that the cleavage step does involve hydrolysis of ATP or formation of an adduct between ATP and water. The equilibrium constant for the cleavage step at the myosin active site is 9. If the cycle of events during muscle contraction is described by the model proposed by Lymn & Taylor (1971), the fact that there is only a small negative standard free-energy change for the cleavage step is advantageous for efficient chemical to mechanical energy exchange during muscle contraction.     

Whole-tissue determination of the rate coefficients of photoinactivation and repair of photosystem II in cotton leaf discs based on flash-induced P700 redox kinetics

Using radioactively labelled amino acids to investigate repair of photoinactivated photosystem II (PS II) gives only a relative rate of repair, while using chlorophyll fluorescence parameters yields a repair rate coefficient for an undefined, variable location within the leaf tissue. Here, we report on a whole-tissue determination of the rate coefficient of photoinactivation k _i , and that of repair k _r in cotton leaf discs. The method assays functional PS II via a P700 kinetics area associated with PS I, as induced by a single-turnover, saturating flash superimposed on continuous background far-red light. The P700 kinetics area, directly proportional to the oxygen yield per single-turnover, saturating flash, was used to obtain both k _i and k _r . The value of k _i , directly proportional to irradiance, was slightly higher when CO₂ diffusion into the abaxial surface (richer in stomata) was blocked by contact with water. The value of k _r , sizable in darkness, changed in the light depending on which surface was blocked by contact with water. When the abaxial surface was blocked, k _r first peaked at moderate irradiance and then decreased at high irradiance. When the adaxial surface was blocked, k _r first increased at low irradiance, then plateaued, before increasing markedly at high irradiance. At the highest irradiance, k _r differed by an order of magnitude between the two orientations, attributable to different extents of oxidative stress affecting repair (Nishiyama et al., EMBO J 20: 5587–5594, 2001). The method is a whole-tissue, convenient determination of the rate coefficient of photoinactivation k _i and that of repair k _r .     

Light dependence of the decay of the proton gradient in broken chloroplasts

The initial rates and steady-state values of proton uptake by broken chloroplasts have been measured as functions of light intensity at various concentrations of chlorophyll, pyocyanine, supporting electrolyte, buffer, as well as pH and temperature. Kinetic analysis of the data shows that the rate of decay of proton gradient due to backward leakage depends on light intensity. Under steady illumination, the decay constant k_L is equal to k_D + mR₀, where R₀ is the initial rate of proton uptake which is a function of light intensity, k_D is the decay constant in the dark and m is a parameter which is independent of light intensity. Treatment of chloroplasts with lysolecithin, neutral detergent, 2,4-dinitrophenol, or valinomycin in the presence of K⁺ increases k_D without affecting m. Treatment with N,N′-dicyclohexylcarbodiimide or adenylyl imidodiphosphate under appropriate conditions decreases m without affecting k_D. Treatment with glutaraldehyde makes k_L independent of light intensity and hence m = 0. These results suggest that the light-dependent part (mR₀) of k_L is due to leakage of protons through the coupling factor (CF₁-CF₀) complex which can open or close depending on light intensity and that the light-independent part (k_D) of the decay constant k_L is due to proton leakage elsewhere.     

Reversible linkage isomerization of pentaamminecobalt(III) complexes of urea and its N-methyl derivatives

The (NH₃)₅CoOC(NH₂)₂³⁺ ion is consumed in water according to the rate law k(obs.) = k₁ + k₂[OH⁻], where k₁ = 4.0 × 10⁻⁵ s⁻¹ and k₂ = 14.2 M⁻¹ s⁻¹ (0–0.1 M [OH⁻];μ = 1.1 M, NaClO₄, 25 °C). A hitherto unrecognized intramolecular O- to N- linkage isomerization reaction has been detected. In strongly acid solution only aquation to (NH₃)₅CoOH₂³⁺ is observed, but in 0.1–1.0 M [OH⁻], 7% of the directly formed products is the urea-N complex (NH₃)₅CoNHCONH₂²⁺ which has been isolated. In the neutral pH region a much greater proportion (25%) of the products is the urea-N species. These results are interpreted in terms of an urea-O to urea-N linkage isomerization reaction competing with hydrolysis for both spontaneous (k₁) and base-catalyzed (k₂) pathways; the rearrangement is not observed in strongly acidic solution (pH ⩽ 1) because the protonated N-bonded isomer (pK′_a ≈ 3) is unstable with respect to the O-bonded form. The appearance of the isomerization pathway as the pH is raised in the 0–6 region is commensurate with a rate increase which cannot be attributed to a contribution from the base catalysis term k₂[OH⁻]. It is argued that this observation establishes, for the spontaneous pathway, that hydrolysis and linkage isomerization are separate reaction pathways — there is no common intermediate. The product distribution and rate data lead to the complete rate law, k(obs.) = k₁ + k₂[OH⁻] = (k_s + k_ON) + (k_OH + k′_ON) [OH⁻] for the reactions of the O-bonded isomers, where k_s, k_OH are the specific rates for hydrolysis, and k_ON, k′_ON are the specific rates for O- to N-linkage isomerization, by spontaneous and base-catalyzed pathways respectively; k_ON = 1.3 × 10⁻⁵ s⁻¹ and k′_ON = 1.1 M⁻¹ s⁻¹ (μ = 1.0 M, NaClO₄, 25 °C). The O- to N- linkage isomerization has been observed also for complexes of N-methylurea, N,N-dimethylurea and N-phenylurea, but not for the N,N′-dimethylurea species. There is an approximately statistical relationship among the data for −NH₂ capture (versus H₂O), while −NHR and −NR₂ do not compete with water as nucleophiles for Co(III) in either the spontaneous or base-catalyzed hydrolysis processes. For each urea-O complex, O- to N-isomerization is a more significant parallel reaction in the spontaneous as opposed to the base-catalyzed pathway. This is interpreted as being indicative of more associative character in the spontaneous route to products, a conclusion supported by other evidence. Some activation parameter data have been recorded and the effect of the N-substitution on the rates of solvolysis (H₂O, Me₂SO) is discussed. The urea-N complexes have been isolated as their deprotonated forms, [(NH₃)₅CoNHCONRR′](ClO₄)₂·xH₂O (R,R′ = H, CH₃). They are kinetically inert in neutral to basic solution but in acid they protonate (H₂O, pK′_a 2–3; μ = 1.0 M, 25 °C) and then isomerize rapidly back to their O-bonded forms. Some solvolysis accompanies this N- to O-rearrangement in H₂O and Me₂SO. Specific rates and activation parameters are reported. The kinetic data follow a rate law of the form k_NO(obs.) = (k + k_NO)[H⁺]/(K′_a + [H⁺]) and the active species in the reaction is the protonated form; k, k_NO are the specific rates for hydrolysis and isomerization, respectively. Proton NMR data establish that the site of protonation (in Me₂SO) is the cobalt-bound nitrogen atom. For the unsubstituted urea species (NH₃)₅CoNH₂CONH₂³⁺, diastereotopic exo-NH₂ protons arising from restricted rotation about the CN bond are observed. The relevance to the mechanism of the linkage isomerization process is considered. ¹³C and ¹H NMR and electronic absorption spectral data are presented, and distinctions between linkage isomers and the solution structures (electronic and conformational) are discussed. The urea-N/urea-O complex equilibrium is governed by the relation K′_NO(obs.) = K′_NO[H⁺]/[H⁺](K′_a), where K′_NO is the equilibrium constant = [(NH₃₅Co(urea-O)³⁺]/[(NH₃)₅Co(urea-N)³⁺]. Values for K′_NO(=k_NO/k_ON = 260 and pK′_a ≈ 3 for the NH₂CONH₂ system are consistent with the stability of the N-isomer in feebly acidic to basic solution (e.g. pH 6, K′_NO(obs.) = 2.6 × 10⁻²) and instability in acid solution (e.g. pH 1, K′_NO(obs.) = 240). The equilibrium data for this and other urea complexes of (NH₃)₅Co(III) are contrasted with the result for the analogous Rh(III)NH₂CONH₂ system K′_NO ≈ 1).     

Effects of Replacement of External Sodium Chloride with Sucrose on Membrane Currents of the Squid Giant Axon

It was observed that a reduction of the sodium chloride concentration in the external solution bathing a squid giant axon by replacement with sucrose resulted in marked decreases in the peak inward and steady-state outward currents through the axon membrane following a step decrease in membrane potential. These effects are quantitatively acounted for by the increase in series resistance resulting from the decreased conductivity of the sea water and the assumption that the sodium current obeys a relation of the form I = k₁C₁ - k₂C₂ where C₁, C₂ are internal and external ion activities and k₁, k₂ are independent of concentration. It is concluded that the potassium ion current is independent of the sodium concentration. That the inward current is carried by sodium ions has been confirmed. The electrical potential (or barrier height) profile in the membrane which drives sodium ions appears to be independent of sodium ion concentration or current. A specific effect of the sucrose on hyperpolarizing currents was observed and noted but not investigated in detail.     

A differential effect between the acute and chronic administration of ethanol on the endocytotic rate konstant,ke, for internalisation of asialoglycoproteins by hepatocytes

The endocytotic rate constant, k_e, originally described for the quantification growth factor by fibroblasts (Wiley, H.S. and Cunningham, D.D.(1982) J. Biol. Chem. 257, 4222–4229) has been adapted to measure receptor-mediated endocytosis of asialoglycoproteins by hepatocytes. A k_e value of 0.21 min⁻¹ was obtained for the internalisation of β-d-galactosyl bovine serum albumin by freshly isolated hepatocytes. The addition of ethaniol to the incubation medium had a biphasic effect on _e. The value of k_e was increased by up to 30% by low concentrations of ethanol, whereas higher concentrations progressively decreased k_e and in 500 mM ethanol the k_e value was 0.1 min⁻¹. The amount of ligand bound to the cell surface was independent of the extracellular concentration of ethanol and the changes in k_e were exclusively due to changes in the amount of internalised ligand. There was a progressive decrease in the value of k_e in hepatocytes prepared from rats that were maintained on an ethanol-impregnated liquid diet for up to 20 days. The decrease was already apparent by day 2 when blood alcohol levels were only 50 mg%, indicating that the effects of chronic alcoholism on endocytosis are manifested at an early stage.     

Kinetic analysis of biphasic protein modification reactions cooperative effects

A mathematical treatment of protein modification reactions is presented, and it is shown thai in these cases protein modification is described by a summation of exponential functions of reaction time, the number of exponentials being equal to the number of modified protein species. It is shown that in cases of protein modification cooperativity, there is a strict dependence of the coefficients of the multiexponential modification equation on the constants of the same equation. The conditions necessary for a reduction of a multiexponential protein modification equation to one of a summation of two exponentials only are examined. The possible formulae for the coefficients of a two-exponential-summation equation, used to describe the modification of protein models with two, three or four modifiable residues (as well as some aspects of models with five and six modifiable residues) per protein molecule are derived. It is seen that the number of such coefficients is severely limited. The most frequently obtained formula for the lower stoichiomelric coefficient of a 'wo-exponential-summation equation is Ak_a/(k_a-k_b). where k_b and k_b are the constants of the two exponentials of the equation, and A is a constant. The value most frequently arrived at for A is (n?1)/n, where n is the number of modifiable residues per protein molecule, while values such as 1/n, or a/n (where a is an integer, and also where a < n) are also possible. In most of the cooperative protein modification models worked out, k_a is identical with k_n, viz., k_a is identical with the rate constant for the first stoichiometric protein modification.     

Effects of Plasma Membrane Cholesterol Level and Cytoskeleton F-Actin on Cell Protrusion Mechanics

Protrusions are deformations that form at the surface of living cells during biological activities such as cell migration. Using combined optical tweezers and fluorescent microscopy, we quantified the mechanical properties of protrusions in adherent human embryonic kidney cells in response to application of an external force at the cell surface. The mechanical properties of protrusions were analyzed by obtaining the associated force-length plots during protrusion formation, and force relaxation at constant length. Protrusion mechanics were interpretable by a standard linear solid (Kelvin) model, consisting of two stiffness parameters, k ₀ and k ₁ (with k ₀>k ₁), and a viscous coefficient. While both stiffness parameters contribute to the time-dependant mechanical behavior of the protrusions, k ₀ and k ₁ in particular dominated the early and late stages of the protrusion formation and elongation process, respectively. Lowering the membrane cholesterol content by 25% increased the k ₀ stiffness by 74%, and shortened the protrusion length by almost half. Enhancement of membrane cholesterol content by nearly two-fold increased the protrusion length by 30%, and decreased the k ₀ stiffness by nearly two-and-half-fold as compared with control cells. Cytoskeleton integrity was found to make a major contribution to protrusion mechanics as evidenced by the effects of F-actin disruption on the resulting mechanical parameters. Viscoelastic behavior of protrusions was further characterized by hysteresis and force relaxation after formation. The results of this study elucidate the coordination of plasma membrane composition and cytoskeleton during protrusion formation.     

Reductive nitrosylation of ferric cyanide horse heart myoglobin is limited by cyanide dissociation

Cyanide binds to ferric heme-proteins with a very high affinity, reflecting the very low dissociation rate constant (k_off). Since no techniques are available to estimate k_off, we report herewith a method to determine k_off based on the irreversible reductive nitrosylation reaction to trap ferric myoglobin (Mb(III)). The k_off value for cyanide dissociation from ferric cyanide horse heart myoglobin (Mb(III)-cyanide) was determined at pH 9.2 and 20.0 °C. Mixing Mb(III)-cyanide and NO solutions brings about absorption spectral changes reflecting the disappearance of Mb(III)-cyanide with the concomitant formation of ferrous nitrosylated Mb. Since kinetics of reductive nitrosylation of Mb(III) is much faster than Mb(III)-cyanide dissociation, the k_off value, representing the rate-limiting step, can be directly determined. The k_off value obtained experimentally matches very well to that calculated from values of the second-order rate constant (k_on) and of the dissociation equilibrium constant (K) for cyanide binding to Mb(III) (k_off = k_on × K).     

Diffusion and sedimentation interaction parameters for measuring the second virial coefficient and their utility as predictors of protein aggregation

The concentration-dependence of the diffusion and sedimentation coefficients (k_D and k_s, respectively) of a protein can be used to determine the second virial coefficient (B₂), a parameter valuable in predicting protein-protein interactions. Accurate measurement of B₂ under physiologically and pharmaceutically relevant conditions, however, requires independent measurement of k_D and k_s via orthogonal techniques. We demonstrate this by utilizing sedimentation velocity (SV) and dynamic light scattering (DLS) to analyze solutions of hen-egg white lysozyme (HEWL) and a monoclonal antibody (mAb1) in different salt solutions. The accuracy of the SV-DLS method was established by comparing measured and literature B₂ values for HEWL. In contrast to the assumptions necessary for determining k_D and k_s via SV alone, k_D and ks were of comparable magnitudes, and solution conditions were noted for both HEWL and mAb1 under which 1), k_D and k_s assumed opposite signs; and 2), k_D ≥ k_s. Further, we demonstrate the utility of k_D and k_s as qualitative predictors of protein aggregation through agitation and accelerated stability studies. Aggregation of mAb1 correlated well with B₂, k_D, and k_s, thus establishing the potential for k_D to serve as a high-throughput predictor of protein aggregation.     

Cerebral microvessels contain a beta 2-adrenergic receptor

Cerebral microvessels isolated from cat forebrain contain a specific β-adrenergic-sensitive adenylate cyclase. Among various compounds tested, the most potent activator of enzyme activity is isoproterenol (k_a = 1.4 × 10^?7M), followed in order by epinephrine (k_a= 1.5 × 10^?6M), norepinephrine (k_a= 1.4 × 10^?5M) and phenylephrine (k_a> 3 × 10^?4M). Isoproterenol-stimulated enzyme activity is blocked by propranolol (k_i= 2.4 × 10^?9M, IPS 339 (k_i= 4 × 10^?9M), H35/25 (k_i = 1.2 × 10^?7M), atenolol (k_i= 5.9 × 10^?6M) and practolol (k_i= 1.8 × 10^?5M). These agonist and antagonist properties are quite similar to those demonstrated by β₂-adrenergic receptors and β₂-stimulated adenylate cyclase present in other tissues and indicate that the majority of adenylate cyclase-associated adrenergic receptors in cerebral microvessels are β₂. The findings are relevant to physiological studies of cerebral blood flow and vascular permeability.