Studies of adenosine triphosphate transphosphorylases. XIV. Equilibrium binding properties of the crystalline rabbit and calf muscle ATP--AMP transphosphorylase (adenylate kinase) and derived peptide fragments.

Both a fluorescence-quenching technique and a uv-difference spectral method have been used to study the binding of 1,N⁶-etheno analogs of the adenine nucleotides (?ATP, ?ADP, ?AMP) (J. A. Secrist III, J. R. Barrio, N. J., Leonard, and G. Weber, 1972, Biochemistry, 11, 3499–3506) to crystalline rabbit and calf muscle ATP-AMP transphosphorylase in the presence and absence of Mg²⁺, at 0.16 ($\text{Γ}\text{2}$), 25 °C, and pH 7.4. In addition, the binding of the ?-analogs of the adenine nucleotides has been studied to two S-[¹⁴C]carboxymethylated peptide fragments of the rabbit muscle enzyme (residues 1–44 = MT-I; residues 171–193 = MT-XII), as well as to a synthetic nonapeptide corresponding to residues 32 ? 40 of the rabbit muscle enzyme. In the case of the rabbit and calf enzymes: Mg?ATP^2?, ?ATP^4?, Mg?ADP^?, and ?AMP^2? are bound stoichiometrically (n ～- 1), Mg?AMP is insignificantly bound, and n ～- 2 for ?ADP^3? (n = maximal number of moles bound per mole of protein). In the case of S-carboxymethylated peptide fragments: MT-I binds stoichiometrically to Mg?ATP^2?, ?ATP^4?, Mg?ADP^?, and ?ADP^3? with values of n ～- 1; but MT-I does not bind to ?AMP^2? significantly. MT-XII binds stoichiometrically to uncomplexed ?AMP^2? or to uncomplexed ?ADP^3? (both with n ～- 1); whereas, the binding of Mg?ADP^?, ?ATP^4?, and Mg?AMP to MT-XII are comparatively insignificant. Other peptide fragments in the molecule, viz. fragments MT-IV (residues 77–96) or MT-VI (residues 106–126) did not bind significantly to any of the ethenoanalogs; nor did insulin, nor, e.g., did bo vine serum albumin. The binding of the etheno analogs was also studied to an equimolar mixture of peptides MT-I + MT-XII, which qualitatively duplicated the binding pattern of the entire native molecule, and except for ?ATP^4? or Mg?ATP^2? (which are bound more tightly to the entire native molecule), even quantitatively. The synthetic peptide (residues 32 to 40) was found to bind to Mg?ATP^2?, ?ATP^4?, and Mg?ADP^?, with n ～- 1; but it does not significantly bind to ?AMP^2?, nor to ?ADP^3?. These binding data support the idea that there are two separate sites for the binding of either (a) the complexed nucleotide substrate (MgATP^2? or MgADP^?) residing in the sequence of MT-I (residues 1 to 44) and in the neighborhood of residues 32 to 40, or (b) the uncomplexed nucleotide substrate (AMP^2? or ADP^3?) residing in the sequence of MT-XII (residues 171 to 193) of the rabbit muscle enzyme.     

Photophosphorylation in bacterial chromatophores entrapped in alginate gel: Improvement of the physical and biochemical properties of gel beads with barium as gel-inducing agent

The immobilization of Rhodopseudomonas capsulata chromatophores by entrapment in an alginate gel is described. Alginate beads were prepared with Ba²⁺, Sr²⁺ and Ca²⁺ as gel-forming agents and compared for their mechanical strength, chemical resistance against disruption by phosphate-induced swelling, and yield of photophosphorylation activity. Barium alginate beads proved to have better physico-chemical properties than the more commonly used calcium alginate beads. After embedding in barium alginate gel, R. capsulata chromatophores retained a high yield (up to 70%) of their photophosphorylation capacity. Alginate entrapment did not cause a large increase in the Michaelis constant for ADP and phosphate, the substrates of adenosinetriphosphatase (ATPase). These constants were $\text{K}{}^{\mathrm{ADP}}{}_{\mathrm{<mtext>m</mtext>}}\text{= 1.4 × 10}{}^{\mathrm{?5}}\text{m}$ and $\text{K}{}^{\mathrm{P}}{}_{\mathrm{i}}{}_{\mathrm{<mtext>m</mtext>}}\text{= 2.2 × 10}{}^{\mathrm{?4}}\text{m}$ for free chromatophores and $\text{K}{}^{\mathrm{ADP}}{}_{\mathrm{<mtext>m</mtext>}}\text{= 2.3 × 10}{}^{\mathrm{?4}}\text{m}$ and $\text{K}{}^{\mathrm{P}}{}_{\mathrm{i}}{}_{\mathrm{<mtext>m</mtext>}}\text{= 5.6 × 10}{}^{\mathrm{?4}}\text{m}$ for chromatophores entrapped in barium alginate gel. However, embedding gave no additional protection against rapid inactivation of chromatophores upon storage at 3°C. Preliminary results with a batch reactor for continuous ATP regeneration are presented. The barium alginate method has two features which are not generally encountered at the same time, extremely mild conditions for entrapment and excellent physical properties of the gels beads, which make this method a suitable tool for the construction of bioreactors with immobilized cells or organelles.     

Control of mitochondrial respiration: a quantitative evaluation of the roles of cytochrome c and oxygen.

The dependence of the mitochondrial respiratory rate on the reduction of cytochrome c has been measured as a function of the exogenous $\text{[}\text{ATP}\text{]}\text{[}\text{ADP}\text{][}\text{P}{}_{\mathrm{i}}\text{]}$ ratio and pH. The respiratory rate at $\text{[}\text{ADP}\text{]}\text{[}\text{ADP}\text{][}\text{P}{}_{\mathrm{i}}\text{]}$ values of less than 10^-1m^-1 is proportional to the reduction of cytochrome c and independent of pH from pH 6.5 to pH 8.O. The maximal turnover number (at 100% reduction) for cytochrome c is approximately 70 s^?1. As the $\text{[}\text{ATP}\text{]}\text{[}\text{ADP}\text{][}\text{P}{}_{\mathrm{i}}\text{]}$ ratio is increased from 10^?1m^?1 to 10⁴m^?1, the respiration at any given level of reduction of cytochrome c is progressively inhibited. Greater inhibition is observed at more oxidized levels of cytochorme c with respiratory control values for oxidation of reduced cytochrome c exceeding 10. The behavior of mitochondrial respiratory control is shown to be quantitatively consistent with a proposed mechanism in which the regulation occurs in the reaction of oxygen with cytochrome oxidase. A steady-state rate expression is derived which fits the mitochondrial respiratory rate dependence on (i) the extramitochondrial $\text{[}\text{ATP}\text{]}\text{[}\text{ADP}\text{][}\text{P}{}_{\mathrm{i}}\text{]}$ ratio; (ii) the level of reduction of cytochrome c (or the intramitochondrial $\text{[}\text{NAD}{}^{\mathrm{+}}\text{]}\text{[NADH])}$ at different $\text{[}\text{ATP}\text{]}\text{[}\text{ADP}\text{][}\text{P}{}_{\mathrm{i}}\text{]}$ values; (iii) the pH of the suspending medium. This rate expression appears to correctly predict the relationships of the cytoplasmic $\text{[}\text{ATP}\text{]}\text{[}\text{ADP}\text{][}\text{P}{}_{\mathrm{i}}\text{]}$ ratio, the mitochondrial $\text{[}\text{NAD}{}^{\mathrm{+}}\text{]}\text{[}\text{NADH}\text{]}$ ratio, and the mitochondrial respiratory rate in intact cells as well as suspensions of isolated mitochondria.     

Respiration-driven proton translocation with nitrite and nitrous oxide in Paracoccus denitrificans

(1) $\text{H}$⁺/electron acceptor ratios have been determined with the oxidant pulse method for cells of denitrifying Paracoccus denitrificans oxidizing endogenous substrates during reduction of O₂, NO^?₂ or N₂O. Under optimal H⁺-translocation conditions, the ratios $\text{H}{}^{\mathrm{+}}\text{O}$, $\text{H}{}^{\mathrm{+}}\text{N}{}_2\text{O}$, $\text{H}{}^{\mathrm{+}}\text{NO}{}^{\mathrm{?}}{}_2$ for reduction to N₂ and $\text{H}{}^{\mathrm{+}}\text{NO}{}^{\mathrm{?}}{}_2$ for reduction to N₂O were 6.0–6.3, 4.02, 5.79 and 3.37, respectively. (2) With ascorbate/N,N,N′,N′-tetramethyl-p-phenylenediamine as exogenous substrate, addition of NO^?₂ or N₂O to an anaerobic cell suspension resulted in rapid alkalinization of the outer bulk medium. $\text{H}{}^{\mathrm{+}}\text{N}{}_2\text{O}$, $\text{H}{}^{\mathrm{+}}\text{NO}{}^{\mathrm{?}}{}_2$ for reduction to N₂ and $\text{H}{}^{\mathrm{+}}\text{NO}{}^{\mathrm{?}}{}_2$ for reduction to N₂O were ?0.84, ?2.33 and ?1.90, respectively. (3) The $\text{H}{}^{\mathrm{+}}\text{oxidant}$ ratios, mentioned in item 2, were not altered in the presence of $\text{valinomycin}\text{K}{}^{\mathrm{+}}$ and the triphenylmethylphosphonium cation. (4) A simplified scheme of electron transport to O₂, NO^?₂ and N₂O is presented which shows a periplasmic orientation of the nitrite reductase as well as the nitrous oxide reductase. Electrons destined for NO^?₂, N₂O or O₂ pass two H⁺-translocating sites. The $\text{H}{}^{\mathrm{+}}\text{electron}$ acceptor ratios predicted by this scheme are in good agreement with the experimental values.     

Kinetic properties of pyruvate kinase isolated from rat hepatic tumours.

The results demonstrate the existence of L and M forms of pyruvate kinase in rat hepatomas. Tumours were induced by feeding N-Nitrosodiethylamine. The kinetic properties of the L-type tumour enzyme was markedly different from the L-enzyme form found in normal liver. The L-form of tumour enzyme was purified by DEAE cellulose-Sephadex G200 chromatography (Sp. activity 41 units/mg). $\text{MgADP}{}^{\mathrm{?}}\text{ADP}{}^{\mathrm{2?}}$ of $\text{20}\text{1}$ gave optimum activity for both the intrinsic and F1,6di-P stimulated reactions. ATP did not inhibit the enzyme. Alanine (2.5 nM) caused 60% inhibition at low PEP concentrations (0.25 mM). The homotropic effector (PEP) exhibited a complex allosteric pattern and saturation kinetics were not observed for either the intrinsic or F1,6di-P stimulated reactions with PEP concentrations as high as 10 mM.     

Equilibrium constants for association of guanidinium and ammonium ions with oxyanions: The effect of changing basicity of the oxyanion

Using guanidinium and n-butylammonium cations (C⁺) as models for the positively charged side chains in arginine and lysine, we have determined the association constants with various oxyanions by potentiometric titration. For a dibasic acid, H₂A, three association complexes may exist: $\text{K}{}_{\mathrm{<mtext>1M</mtext>}}\text{=}\text{[CHA]}\text{[C}{}^{\mathrm{+}}\text{]}\text{[HA}{}^{\mathrm{?}}\text{]}$; $\text{K}{}_{\mathrm{<mtext>1D</mtext>}}\text{=}\text{[CA}{}^{\mathrm{?}}\text{]}\text{[C}{}^{\mathrm{+}}\text{]}\text{[A}{}^{\mathrm{2?}}\text{]}$; $\text{K}{}_{\mathrm{<mtext>2D</mtext>}}\text{=}\text{[C}{}_2\text{A]}\text{[C}{}^{\mathrm{+}}\text{]}\text{[CA}{}^{\mathrm{?}}\text{]}$. For guanidinium ion and phosphate, K_1M = 1.4, K_1D = 2.6, and K_2D = 5.1. The data for carboxylates indicate that the basicity of the oxyanion does not affect the association constant: acetate, pK_a = 4.8, K_1M = 0.37; formate, pK_a = 3.8, K_1M = 0.32; and chloroacetate, pK_a = 2.9, K_1M = 0.43, all with guanidinium ion. Association constants are also reported for carbonate, dimethylphosphinate, benzylphosphonate, and adenylate anions.     

Evidence for general catalysis and formation of nitrobenzene in the oxidation of phenylhydroxylamine in aqueous phosphate buffer

N-Phenylhydroxylamine is oxidized in aqueous phosphate buffer to nitrosobenzene, nitrobenzene, and azoxybenzene. Degradation is O₂ dependent and shows general catalysis by $\text{H}{}_2\text{PO}{}_4{}^{\mathrm{?}}$ (k₁ = 2.3 M^?2 sec^?1) and $\text{PO}{}_4{}^{\mathrm{?3}}$ (k₂ = 2.3 × 10⁵M^?2 sec^?1) or kinetically equivalent terms. Evidence is presented suggesting the intermediacy of a highly reactive species leading to these products.     

A stable traveling-wave solution of a model of cellular control processes with positive feedback

Edelstein's model

$\text{?E}\text{?τ}\text{=F(M, E)}$

,

$\text{?M}\text{?τ}\text{=G(M, E)+D}\text{?}{}^2\text{M}\text{?s}{}^2$

,

$\text{M(s,0)=?(s)}$

,

$\text{E(s,0)=ψ(s)}$

, where τ ? 0 and ?∞<s<∞, $\text{F(M, E>) = (K}{}_1\text{+M}{}^{\mathrm{m}}\text{)}\text{(K}{}_2\text{+M}{}^{\mathrm{m}}\text{)?k}{}_1\text{E, G(M, E)}\text{= k}{}_1\text{E ? k}{}_2\text{M,}$ m ? 2, describes the behavior of two basic chemical species during the cellular differentiation in a linear ensemble of the same cell type. We prove the existence and uniqueness of a travelling-wavefront solution. We also demonstrate one kind of stability for this solution.     

Structure and action of heteronemertine polypeptide toxins Binding of cerebratulus lacteus toxin B-IV to axon membrane vesicles

The binding of the crustacean selective protein neurotoxin, toxin B-IV, from the nemertine Cerebratulus lacteus to lobster axonal vesicles has been studied. A highly radioactive, pharmacologically active derivative of toxin B-IV has been prepared by reaction with Bolton-Hunter reagent. Saturation binding and competition of ¹²⁵I-labeled toxin B-IV by native toxin B-IV have shown specific binding of ¹²⁵I-labeled toxin B-IV to a single class of binding sites with a dissociation constant of 5–20 nM and a binding site capacity, corrected for vesicle sidedness, of 6–9 pmol per mg membrane protein. This compares to a value of 3.8 pmol [³H]saxitoxin bound per mg in the same tissue. Analysis of the kinetics of toxin B-IV association ($\text{k}{}_{\mathrm{+1}}\text{=7.3·10}{}^5\text{M}{}^{\mathrm{?1}}\text{·s}{}^{\mathrm{?1}}$) and dissociation ($\text{k}{}_{\mathrm{?\; 1}}\text{=2·10}{}^{\mathrm{?3}}\text{s}{}^{\mathrm{?1}}$) shows a nearly identical $\text{K}{}_{\mathrm{<mtext>d</mtext>}}$ of about 3 nM. There is no competition of toxin B-IV binding by purified toxin from Leiurus quinquestriatus venom while Centruroides sculpturatus Ewing toxin I appears to cause a small enhancement of toxin B-IV binding.     

Preferential solvation of methylmercurated calf thymus deoxyribonucleic acid.

The changes in polymer-solvent interactions that occur when native calf thymus DNA is dialyzed against Na₂SO₄ solutions of a given ionic strength and buffer concentration but of varying concentrations in methylmercuric hydroxide have been investigated with the help of solution density measurements at 25 °C and pH 6.8–7.0. From measurements executed under equilibrium dialysis conditions at the three salt levels 5 mm, 0.05 m, and 0.5 m Na₂SO₄ (m refers to molality) and in the presence of 5 mm cacodylic acid buffer, the density increments $\text{(}\text{??}\text{?c}{}_2\text{)}{}_{\mathrm{\mu }}{}^0$ for native calf thymus DNA were determined as a function of CH₃HgOH concentration. $\text{(}\text{??}\text{?c}{}_2\text{)}{}_{\mathrm{\mu }}{}^0$ was found not to vary with organomercurial concentration, irrespective of the concentration of supporting electrolyte, until a certain CH₃HgOH concentration level has been reached, viz., , beyond which $\text{(}\text{??}\text{?c}{}_2\text{)}{}_{\mathrm{\mu }}{}^0$ increases strongly with increasing concentration of CH₃HgOH. As is shown by optical melting, $\text{(}\text{??}\text{?c}{}_2\text{)}{}_{\mathrm{\mu }}{}^0$ becomes a function of organomercurial concentration the moment DNA undergoes denaturation brought about by the complexing of CH₃HgOH with the various N-binding sites of the base residues in the DNA double helix.Polymer-solvent interactions, expressed in terms of preferential water interactions (“net hydration”) and preferential salt interactions (“salt solvation”), were derived from the $\text{(}\text{??}\text{?c}{}_2\text{)}{}_{\mathrm{\mu }}{}^0$ data in combination with data obtained on the preferential interaction of CH₃HgOH with denatured DNA and data on the partial specific volumes of all major solution components, gathered from density measurements on solutions with fixed concentrations of diffusible components. Evidence is presented which shows that denaturation in general decreases the net hydration while salt becomes preferentially associated with the polyelectrolyte. This process is further amplified by the interaction of CH₃HgOH with denatured DNA: Methylmercurated DNA alters the redistribution of diffusible components at dialysis equilibrium to such an extent that in a formal sense large amounts of water are rejected from the immediate vicinity of the polymer. The molecular implications of these findings are explored. The results are further discussed in the light of previous findings where the methylmercury-induced denaturation of DNA had been studied with the help of buoyant density measurements in a Cs₂SO₄ density gradient and by velocity-sedimentation in a variety of sulfate media.     

Some dilute-solution parameters of the levan of streptococcus salivarius in various solvents

The intrinsic viscosities, weight-average molecular weights (M?_w), and radii of gyration [($\text{R}{}^2{}_{\mathrm{g}}$)^{$\text{1}\text{2}$}≈] of Streptococcus salivarius levan in various solvents were respectively obtained from viscosity and light-scattering measurements. The data showed that the levan in water is not aggregated by hydrogen bonds, and that the values of both the refractive index and ($\text{R}{}^2{}_{\mathrm{g}}$)^{$\text{1}\text{2}$} are lower in water than in aqueous solutions of urea. Urea may break intramolecular hydrogen-bonds, e.g., between branches, allowing the molecule to expand.     

Construction and analytical applications of liquid membrane electrode for trinitrobenzenesulfonic acid (TNBS)

A new liquid membrane electrode which responds to trinitrobenzenesulfonate (TNBS^?) ion is described. The electrode exhibits very good experimental characteristics: (i) The working pH range is 2.0–12.5; (ii) its response is consistent with the Nernst equation in the range 1.10^?1–5.10^?5m; (iii) its response time is 5 s; and (iv) its selectivity for TNBS^? against 14 tested ions is very high. Ions such as $\text{ClO}{}_4{}^{\mathrm{?}}$, $\text{IO}{}_4{}^{\mathrm{?}}$, I^?, and biphthalates interfere with potentiometric selectivity coefficients in the range 1.0 × 10^?2–9.0 × 10^?2. The electrode is suitable for direct potentiometry, potentiometric titrations, and kinetic potentiometric methods. Instructions for the application of the electrode for the potentiometric assay of aminoacids are given. The application of the electrode in the potentiometric precipitation titration of methylene blue with TNBS, and its use in the kinetic potentiometric determination of aminoacids is also described. The electrode has very good slope stability (60 mV/decade change of activity) for a period ofat least 2 months.     

Thiophosphorylation of (Na + K+)-ATPase yields an ADP-sensitive phosphointermediate

(1) Treatment of $\text{(Na}{}^{\mathrm{+}}\text{+ K}{}^{\mathrm{+}}\text{)-ATPase}$ from rabbit kidney outer medulla with the $\text{γ-}{}^{35}\text{S}$ labeled thio-analogue of ATP in the presence of $\text{Na}{}^{\mathrm{+}}\text{+ Mg}{}^{\mathrm{2+}}$ and the absence of K⁺ leads to thiophosphorylation of the enzyme. The $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ value for [γ-S]ATP is 2.2 μM and for Na⁺ 4.2 mM at 22°C. Thiophosphorylation is a sigmoidal function of the Na⁺ concentration, yielding a Hill coefficient $\text{n}\text{H}\text{= 2.6}$. (2) The thio-analogue ($\text{K}{}_{\mathrm{<mtext>m</mtext><mtext>\; =\; 35\; \mu M</mtext>}}$) can also support overall $\text{(Na}{}^{\mathrm{+}}\text{+ K}{}^{\mathrm{+}}\text{)-ATPase}$ activity, but $\text{V}{}_{\mathrm{<mtext>max</mtext>}}$ at 37°C is only $\text{1.3 γ}\text{mol}\text{· (mg protein)}{}^{\mathrm{?}}\text{·}$ h^?1 or 0.09% of the specific activity for ATP ($\text{K}{}_{\mathrm{<mtext>m</mtext><mtext>\; =\; 0.43\; mM</mtext>}}$). (3) The thiophosphoenzyme intermediate, like the natural phosphoenzyme, is sensitive to hydroxylamine, indicating that it also is an acylphosphate. However, the thiophosphoenzyme, unlike the phosphoenzyme, is acid labile at temperatures as low as 0°C. The acid-denatured thiophosphoenzyme has optimal stability at pH 5–6. (4) The thiophosphorylation capacity of the enzyme is equal to its phosphorylation capacity, indicating the same number of sites. Phosphorylation by ATP excludes thiophosphorylation, suggesting that the two substrates compete for the same phosphorylation site. (5) The (apparent) rate constants of thiophosphorylation (0.4 s^?1 vs. 180 s^?1), spontaneous dethiophosphorylation (0.04 s^?1 vs. 0.5 s^?1) and K⁺-stimulated dethiophosphorylation (0.54 s^?1 vs. 230 s^?1) are much lower than those for the corresponding reactions based on ATP. (6) In contrast to the phosphoenzyme, the thiophosphoenzyme is ADP-sensitive (with an apparent rate constant in ADP-induced dethiophosphorylation of 0.35 s^?1, $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$$\text{ADP = 48 μM at 0.1 mM ATP}$) and is relatively K⁺-insensitve. The $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ for K⁺ in dethiophosphorylation is 0.9 mM and in dephosphorylation 0.09 mM. The thiophosphoenzyme appears to be for 75–90% in the ADP-sensitive E₁-conformation.     

A thermodynamic description of the self-association of flavin mononucleotide.

Systematic heat of dilution studies of the self-association of flavin mononucleotide (FMN) have been conducted as a function of ionic strength (0.05 – 2.0 m) and pH (5–9) in aqueous solution. The data are adequately described by the expression $\text{Q}{}_{\mathrm{T}}\text{= ΔH ? (}\text{ΔH}\text{K}\text{)}{}^{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{(}\text{Q}{}_{\mathrm{T}}\text{c}{}_{\mathrm{T}}\text{)}{}^{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}$ for an isodesmic self-association. Q_T is the molar heat of dilution, ΔH and K are the derived enthalpy and equilibrium constants for the process FMN + (FMN)_i?1 ? (FMN)_i, and c_T is the concentration of FMN expressed in monomer units. Typical values derived for the various thermodynamic parameters at 25 °C are ΔG = ?3.56 kcal mol^?1, ΔH = ?3.72 kcal mol^?1, and ΔS = ?0.54 cal (mol · deg)^?1. These data, plus nuclear magnetic resonance evidence (Yagi, K., Ohishi, N., Takai, A., Kawano, K., and Kyogoku, Y., 1976, Biochemistry15, 2877–2880) argue in favor of an open-ended association of flavin molecules. The signs of the various thermodynamic parameters suggest that both hydrophobic and surface energy forces contribute significantly to the association, while the lack of any significant ionic strength dependence indicates the lack of any ionic centers in the association.     

Kinetic studies on the reaction of ethylenediaminetetraacetatochromium(III) complex with hydrogen peroxide

The rate of reaction of [Cr(III)Y]_aq (Y is EDTA anion) with hydrogen peroxide was studied in aqueous nitrate media [μ = 0.10 M (KNO₃)] at various temperatures. The general rate equation, Rate = $\text{k}{}_1\text{+}\text{k}{}_2\text{K}{}_1\text{[H}{}^{\mathrm{+}}\text{]}{}^{\mathrm{?1}}\text{1 +}\text{K}{}_1\text{[H}{}^{\mathrm{+}}\text{]}{}^{\mathrm{?1}}$ [Cr(III)Y]_aq[H₂O₂] holds over the pH range 5–9. The decomposition reaction of H₂O₂ is believed to proceed via two pathways where both the aquo and hydroxo-quinquedentate EDTA complexes are acting as the catalyst centres. Substitution-controlled mechanisms are suggested and the values of the second-order rate constants k₁ and k₂ were found to be 1.75 × 10^?2 M^?1 s^?1 and 0.174 M^?1 s^?1 at 303 K respectively, where k₂ is the rate constant for the aquo species and k₂ is that for the hydroxo complex. The respective activation enthalpies (ΔH^*₁ = 58.9 and ΔH^*₂ = 66.5 KJ mol^?1) and activation entropies (ΔS^*₁ = ?85 and ΔS^*₂ = ?40 J mol^?1 deg^?1) were calculated from a least-squares fit to the Eyring plot. The ionisation constant pK₁, was inferred from the kinetic data at 303 K to be 7.22. Beyond pH 9, the reaction is markedly retarded and ceases completely at pH ? 11. This inhibition was attributed in part to the continuous loss of the catalyst as a result of the simultaneous oxidation of Cr(III) to Cr(VI).     

Inhibition of chymotrypsin by alkyl phosphonates: a quantitative structure-activity analysis.

A quantitative structure-activity relationship has been formulated for 53 alkyl phosphonates [R₂OPO(CH₃)SR₃] inhibiting chymotrypsin: . In this so-called bilinear model, k_i is the bimolecular rate constant (m^?1 s^?1), β is a disposable parameter evaluated by a computerized iterative procedure, MR is the molar refractivity of a substituent, $\text{σ}{}_3{}^1$ is Taft's polar parameter, and I is an indicator variable for substituents containing a sulfonium group. The correlation coefficient for this equation is 0.985. This quantitative structure-activity relationship is compared with those previously formulated for the action of chymotrypsin on acylamino acid ester substrates.