Theoretical analysis of the effects of two pH regulation patterns on the temperature sensitivities of biological systems in nonhomeothermic animals.

When protonation reactions comprise a part of biochemical reaction schemes in vivo, the temperature sensitivities of chemical equilibria and of enzymatic rates are modulated according to the variation of pH with T_B (body temperature). Two patterns of pH regulation have been established, each pattern controlling the ionization states of different titratable groups as T_B changes: $\text{dpH}\text{dT}{}_{\mathrm{<mtext>B</mtext>}}\text{? 0}$ pH unit/° C for the blood of heterothermic mammals (constant charge for phosphate groups, e.g.), and $\text{dpH}\text{dT}{}_{\mathrm{<mtext>B</mtext>}}$ ? ?0.017 pH unit/° C for intracellular and blood compartments of vertebrate and invertebrate poikilotherms (constant charge for histidine imidazole and -SH groups). Calculations demonstrate the feasibility of the following. (i) A large effect of T_B on a metabolic branch point is possible when the competition of two pathways for common substrate is governed by two titratable groups with large differences in ΔH_i^o values (ionization enthalpy), e.g., phosphate and alpha amino groups. (ii) The effect of temperature on the amount of free energy released from equilibrium chemical reactions (as might occur for reactions not controlled by rate-limiting enzymes) would depend strongly on the value of ΔH_i⁰, and on which of the two pH regulation patterns was present. (iii) If free energy released from ionization reactions were coupled to activation processes of enzyme catalysis, so as to effectively decrease free energy barriers, the temperature sensitivities of reaction rates would be smaller in pH environments in which pH varied inversely with T_B than in environments of constant pH, regardless of ΔH_i⁰. (iv) Different mechanisms for the modulation of metabolism as a function of T_B might have evolved for animals with different values of $\text{dpH}\text{dT}{}_{\mathrm{B}}$.     

Electron transport control in chloroplasts. Effects of photosynthetic control monitored by the intrathylakoid pH

(1) In isolated chloroplasts (class B) electron flow is controlled mainly by the intrathylakoid pH (pH_in). A decrease in pH_in due to the light-driven injection of protons inside the thylakoid leads to the retardation of electron flow between two photosystems. This effect can be abolished by uncouplers or under photophosphorylation conditions (addition of Mg²⁺-ADP with P_i); Mg²⁺-ATP does not influence the steady-state rate of electron flow, (2) The steady-state pH difference, ΔpH, across the thylakoid membrane was estimated from quantitative analysis of the rate of P-700⁺ reduction. In chloroplasts, without adding Mg²⁺-ADP, ΔpH increases from 1.6 to 3.2 as the external pH rises from 6 to 9.5. Under the photophosphorylation conditions, ΔpH decreases showing a minimum at the external pH 7.5 ($\text{Δ}\text{pH}\text{? 0.5–1.0}$). (3) The value of photosynthetic control, K, measured as the ratio of the steady-state rates of P-700⁺ reduction in the presence of Mg²⁺-ADP (with P_i) and without adding Mg²⁺-ADP is dependent on external pH variations, showing a maximum value of $\text{K ? 3.5}$ at pH_out 7.5. This pH dependence coincides with that of the ADP-stimulated ΔpH decrease. (4) Experiments with spin labels provide evidence that the light-induced changes in the thylakoid membrane are sensitive to the addition of uncouplers and are affected only slightly by the addition of Mg²⁺-ADP and P_i.     

Equilibrium constants under physiological conditions for the reactions of L-phosphoserine phosphatase and pyrophosphate: L-serine phosphotransferase

The observed equilibrium constants (K_obs) for the l-phosphoserine phosphatase reaction [EC 3.1.3.3] have been determined under physiological conditions of temperature (38 °C) and ionic strength (0.25 m) and physiological ranges of pH and free [Mg²⁺]. Using Σ and square brackets to indicate total concentrations $\text{K}{}_{\mathrm{<mtext>obs</mtext>}}\text{=}\text{Σ L-serine][Σ P}{}_{\mathrm{i}}\text{]}\text{Σ L-phosphoserine]H}{}_2\text{O]}\text{, K =}\text{L-H · serine}{}^{\mathrm{\pm }}\text{]HPO}{}_4{}^{\mathrm{2?}}\text{]}\text{[L-H · phosphoserine}{}^{\mathrm{2?}}\text{]H}{}_2\text{O]}$. The value of K_obs has been found to be relatively sensitive to pH. At 38 °C, K⁺] = 0.2 m and free [Mg²⁺] = 0; K_obs = 80.6 m at pH 6.5, 52.7 m at pH 7.0 [ΔG_obs⁰ = ?10.2 kJ/mol (?2.45 kcal/mol)], and 44.0 m at pH 8.0 ([H₂O] = 1). The effect of the free [Mg²⁺] on K_obs was relatively slight; at pH 7.0 ([K⁺] = 0.2 m) K_obs = 52.0 m at free [Mg²⁺] = 10^?3, m and 47.8 m at free [Mg²⁺] = 10^?2, m. K_obs was insignificantly affected by variations in ionic strength (0.12–1.0 m) or temperature (4–43 °C) at pH 7.0. The value of K at 38 °C and I = 0.25 m has been calculated to be 34.2 ± 0.5 m [ΔG_obs⁰ = ?9.12 kJ/mol (?2.18 kcal/ mol)]([H₂O] = 1). The K for the phosphoserine phosphatase reaction has been combined with the K for the reaction of inorganic pyrophosphatase [EC 3.6.1.1] previously estimated under the same physiological conditions to calculate a value of 2.04 × 10⁴, m [ΔG_obs⁰ = ?28.0 kJ/mol (?6.69 kcal/mol)] for the K of the pyrophosphate:l-serine phosphotransferase [EC 2.7.1.80] reaction. $\text{K}{}_{\mathrm{<mtext>obs</mtext>}}\text{=}\text{[}\text{Σ L-serine}\text{][}\text{Σ}\text{P}{}_{\mathrm{<mtext>i</mtext>}}\text{]}\text{[}\text{Σ L-phosphoserine}\text{][}\text{H}{}_2\text{O}\text{]}\text{, K =}\text{[L-H · serine}{}^{\mathrm{\pm }}\text{]HPO}{}_4{}^{\mathrm{2?}}\text{]}\text{[L-H · phosphoserine}{}^{\mathrm{2?}}\text{]H}{}_2\text{O}$. Values of K_obs for this reaction at 38 °C, pH 7.0, and I = 0.25 m are very sensitive to the free [Mg²⁺], being calculated to be 668 [ΔG_obs⁰ = ?16.8 kJ/mol (?4.02 kcal/mol)] at free [Mg²⁺] = 0; 111 [ΔG_obs⁰ = ?12.2 kJ/mol (?2.91 kcal/mol)] at free [Mg²⁺] = 10^?3, m; and 9.1 [ΔG_obs⁰ = ?5.7 kJ/mol (?1.4 kcal/mol) at free [Mg²⁺] = 10^?2, m). K_obs for this reaction is also sensitive to pH. At pH 8.0 the corresponding values of K_obs are 4000 [ΔG_obs⁰ = ?21.4 kJ/mol (?5.12 kcal/mol)] at free [Mg²⁺] = 0; and 97.4 [ΔG_obs⁰ = ?11.8 kJ/ mol (?2.83 kcal/mol)] at free [Mg²⁺] = 10^?3, m. Combining K_obs for the l-phosphoserine phosphatase reaction with K_obs for the reactions of d-3-phosphoglycerate dehydrogenase [EC 1.1.1.95] and l-phosphoserine aminotransferase [EC 2.6.1.52] previously determined under the same physiological conditions has allowed the calculation of K_obs for the overall biosynthesis of l-serine from d-3-phosphoglycerate. $\text{K}{}_{\mathrm{<mtext>obs</mtext>}}\text{=}\text{[}\text{Σ L-serine}\text{][}\text{Σ NADH}\text{][}\text{Σ}\text{P}{}_{\mathrm{<mtext>i</mtext>}}\text{][}\text{Σ}\text{α-}\text{ketoglutarate}\text{]}\text{[Σ d-3-}\text{phosphoglycerate}\text{][Σ NAD}{}^{\mathrm{+}}\text{][Σ L-glutamat0]}$ The value of K_obs for these combined reactions at 38 °C, pH 7.0, and I = 0.25 m (K⁺ as the monovalent cation) is 1.34 × 10^?2, m at free [Mg²⁺] = 0 and 1.27 × 10^?2, m at free [Mg²⁺] = 10^?3, m.     

Kinetics of reduction of ferrioxamine B by chromium(II), vanadium(II), and dithionite

Kinetic studies of the reduction of ferrioxamine B (Fe(Hdesf)⁺) by Cr(H₂O)₆²⁺, V(H₂O)₆²⁺, and dithionite have been performed. For Cr(H₂O)₆²⁺ and V(H₂O)₆²⁺, the rate is ?d[Fe(Hdesf)⁺]/dt = k[Fe(Hdesf)⁺][M²⁺]. For Cr(H₂O)₆²⁺, k = 1.19 × 10⁴ M^?1 sec^?1 at 25°C and μ = 0.4 M, and k is independent of pH from 2.6 to 3.5. For V(H₂O)₆²⁺, k = 6.30 × 10² M^?1 sec^?1 at 25°C, μ = 1.0 M, and pH = 2.2. The rate is nearly independent of pH from 2.2 to 4.0. For Cr(H₂O)₆²⁺ and V(H₂O)₆²⁺, the activation parameters are ΔH^≠ = 8.2 kcal mol^?1, ΔS^≠ ?12 eu and ΔH^≠ = 1.7 kcal mol^?1, ΔS^≠ = ?40 eu (at pH 2.2) respectively. Reduction by Cr(H₂O)₆²⁺ is inner-sphere, while reduction by V(H₂O)₆²⁺ is outer-sphere. Reduction by dithionite follows the rate law ?d[Fe(Hdesf)⁺]/dt =kK^{$\text{1}\text{2}$}[Fe(Hdesf)⁺][S₂O₄^2?]^{$\text{1}\text{2}$} where K is the equilibrium constant for dissociation of S₂O₄^2? into SO₂^? radicals. The value of k at 25°C and μ = 0.5 is 2.7 × 10³ M^?1 sec^?1 at pH 5.8, 3.5 × 10³ M^?1 sec^?1 at pH 6.8, and 4.6 × 10³ M^?1 sec^?1 at pH 7.8, and ΔH^≠ = 6.8 kcal mol^?1 and ΔS^≠ = ?19 eu at pH 7.8.     

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.     

Analysis of the ionization constants and heats of ionization of reduced and oxidized horse heart cytochrome c

Simultaneous curve fitting for the ionization parameters of oxidized and reduced horse heart cytochrome c in 0.15M KCl and 20°C yields values for the ionization constants (as pK′) and the heats of ionization (ΔH_i) which can reconstruct either the potentiometric or thermal titration curves. Reduced cytochrome c requires 8 sets of groups, whereas oxidized cytochrome c requires 10 sets of groups. The additional groups in the oxidized preparation appear to involve the ferriheme (pK′, 9.25; ΔH_i, 13.7 kcal/mol) and a tyrosine (pK′ ? 10.24) that is not present in the reduced form. The potentiometric and thermal difference curves (reduced – oxidized) involve the appearance of 17 kcal/mol centered at pH 9.7 and 5.8 kcal/mol centered at pH 4.9. The carboxyl groups in both species appear to be normal for the hydrogen-bonded form. Only one histidine has normal ionization properties (pK′, 6.7; ΔH_i, 7.5 kcal/mol), as do 17 of the lysine residues (pK′, 10.8; ΔH_i, 11.5 kcal/mol).     

Temperature dependence of binding of hyaluronate oligomer to bovine nasal proteoglycan

An ultrafiltration technique was used to study the temperature coefficient of the association constant K for 1:1 binding of proteoglycan to a hyaluronate oligosaccharide fraction containing an average of about 16 monosaccharide units. The proteoglycan was concentrated during the filtration experiment in order to provide minimal disturbance of the equilibrium in the retained solution. Analytical results calculated from assay of ³H-labeled hyaluronate in the filtrate fractions were extrapolated back to initial equilibrium cell conditions. At 10 °C values of K obtained in this way from ultrafiltration agreed within experimental error with those from equilibrium dialysis. Apparent K values obtained with both techniques tended to decrease somewhat with increasing proteoglycan concentration, due probably in part to excluded volume effects. Values of K obtained by ultrafiltration over the temperature range 5 to 40 °C were used to estimate the enthalpy of binding ΔH° as ?17.5 (±1.5) kcal mol^?1 and the entropy of binding ΔS° as ?50 (±5) cal K^?1 mol^?1 (based on a 1 μm standard state). The dilute solution value of K at 37 °C is sufficiently large to suggest that most of the proteoglycan monomers having a binding site are complexed under tissue conditions.     

The enthalpy of oxidation of flavin mononucleotide: Temperature dependence of in vitro bacterial luciferase bioluminescence

The enthalpy of the bioluminescent reaction

$\text{FMNH}{}_2\text{+ RCHO + O}{}_2\text{→}\text{luciferase}\text{FMN + RCOO + H}{}_3\text{O}{}^{\mathrm{+}}\text{+ hv}$

has been studied by direct calorimetric methods. Bacterial luciferase, isolated from Beneckea harveyi (formerly strain MAV) has been used to catalyze the oxidation of reduced flavin mononucleotide (FMNH₂) and a long chain aliphatic aldehyde (dodecanal, RCHO) by molecular oxygen to give the indicated products and blue-green light. The enthalpy measured for this process was found to be ΔH_L = ?338.9 k.J (mol FMN)^?1 (?81.0 kcal) at 25.00 °C and ?402.9 kJ (mol FMN)^?1 (?96.3 kcal) at 7.00 °C. Calculations based on redox electrode potentials indicate a corresponding value of the free energy change, ΔG_L = ?464.8 kJ (mol FMN)^?1 (?111.1 kcal), at 25 °C. Measurements were performed in 0.15 m phosphate buffer, pH 7.0 and the values were arrived at by correcting the observed heats for the heat associated with the autoxidation process: FMNH₂ + O₂ ? FMN + H₂O₂; ΔH_D = ?158.5 kJ (mol FMN)^?1 (?37.8). These data and a detailed thermodynamic analysis have demonstrated the need for two parameters, referred to as the intrinsic free energy, ΔG₁, and intrinsic enthalpy, ΔH₁, which are functionally defined by the relations ΔG_I = ΔG_L ? uhvΔH_I = ΔH_L ? uhv, where u is the quantum yield of the reaction expressed in einsteins mole^?1.These parameters reflect the thermochemistry of the bioluminescent reaction corrected for emitted photons. Thus, they are useful for comparing the thermochemistry of a chemiluminescent process. Their values for the bacterial luciferase system at 25 °C and pH 7.0 are ?391.6 and ?266.9 kJ (mol FMN)^?1 (?93.6 and ?63.8 kcal), respectively, assuming a value of 0.3 for the quantum yield. The calorimetric data also suggest the existence of a long-lived species which persists after photon emission.     

Acid dissociation of cyclohexaamylose and cycloheptaamylose

Acid dissociation constants of aqueous cyclohexaamylose (6-Cy) and cycloheptaamylose (7-Cy) have been determined at 10–47 and 25–55°C, respectively, by pH potentiometry. Standard enthalpies and entropies of dissociation derived from the temperature dependences of these pK_a's are ΔH⁰ = 8.4 ± 0.3 kcal mol^?1, $\text{Δ}\text{S}{}^0\text{= ?28. ± 1}\text{cal mol}{}^{\mathrm{?1}}{}^0\text{K}{}^{\mathrm{?1}}$ for 6-Cy and ΔH⁰ = 10.0 ± 0.1 kcal mol^?1, $\text{Δ}\text{S}{}^0\text{= ?22.4 ±0.3}\text{cal mol}{}^{\mathrm{?1}}{}^0\text{K}{}^{\mathrm{?1}}$ for 7-Cy. Intrinsic ¹³C nmr resonance displacements of anionic 6- and 7-Cy were measured at 30°C in 5% D₂O ($\text{v}\text{v}$). These results indicate that the dissociation of 6- and 7-Cy involves both C2 and C3 2⁰-hydroxyl groups. The thermodynamic and nmr parameters are discussed in terms of interglucosyl hydrogen bonding.     

Calorimetric measurement of stepwise enthalpy changes for the binding of four oxygens to adult human hemoglobin

The successive enthalpy changes for the four steps of oxygen binding by diphosphoglycerate-free adult human hemoglobin have been measured by direct calorimetry at pH 7.4 and 6°. Average results in kcal/(mole O₂) are: ΔH₁ = ?25.1 ± 2.8; ΔH₂ = ?12.6 ± 3.0, ΔH₃ = ?12.5 ± 3.0, and ΔH₄ = ?10.1 ± 1.4. These results imply a substantial temperature dependence for the cooperativity of O₂ binding by the protein and generally resemble the van't Hoff results by Roughton $\text{et al}$. [Roy. Soc. of London Proc., $\text{B 144}$, 29 (1955)] for sheep hemoglobin at pH 9.1 and a temperature range of 2° to 19°.     

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).     

Evidence for a glucosyl-enzyme intermediate in the beta-glucosidase-catalyzed hydrolysis of p-nitrophenyl-beta-D-glucoside

The reaction of almond β-glucosidase with $\text{p}$-nitrophenyl-β-$\text{D}$-glucoside has been investigated over the temperature range +25° to ?45° using 50% aqueous dimethyl sulfoxide (DMSO) as solvent. At temperatures below those at which turnover occurs a “burst” of $\text{p}$-nitrophenol proportional to the enzyme concentration is observed. Such a “burst” suggests the existence of a glucosyl-enzyme intermediate whose breakdown is rate-limiting, and provides a method for measuring the active-site normality. At pH 5.9, 25°, the presence of 50% DMSO causes an increase in K_m from 1.7×10^?3M (0%) to 1.7×10^?2M, whereas V_max is unchanged. The DMSO thus apparently acts as a competitive inhibitor with K_i = 0.7M. The Arrhenius plot for turnover is linear over the accessible temperature range with E_a = 23.0 ± 2.0 kcal/mole.     

Equilibrium constants under physiological conditions for the reactions of the nonphosphorylated pathway of L-serine biosynthesis

The observed equilibrium constants (K_obs) for the reactions of d-2-phosphoglycerate phosphatase, d-2-Phosphoglycerate^3? + H₂O → d-glycerate^? + HPO₄^2?; d-glycerate dehydrogenase (EC 1.1.1.29), d-Glycerate^? + NAD⁺ → NADH + hydroxypyruvate^? + H⁺; and l-serine:pyruvate aminotransferase (EC 2.6.1.51), Hydroxypyruvate^? + l-H · alanine^± → pyruvate^? + l-H · serine^±; have been determined, directly and indirectly, at 38 °C and under conditions of physiological ionic strength (0.25 m) and physiological ranges of pH and magnesium concentrations. From these observed constants and the acid dissociation and metal-binding constants of the substrates, an ionic equilibrium constant (K) also has been calculated for each reaction. The value of K for the d-2-phosphoglycerate phosphatase reaction is 4.00 × 10³m [ΔG⁰ = ?21.4 kJ/mol (?5.12 kcal/mol)]([H₂0] = 1). Values of K_obs for this reaction at 38 °C, [K⁺] = 0.2 m, I = 0.25 M, and pH 7.0 include 3.39 × 10³m (free [Mg²⁺] = 0), 3.23 × 10³m (free [Mg²⁺] = 10^?3m), and 2.32 × 10³m (free [Mg²⁺] = 10^?2m). The value of K for the d-glycerate dehydrogenase reaction has been determined to be 4.36 ± 0.13 × 10^?13m (38 °C, I = 0.25 M) [ΔG⁰ = 73.6 kJ/mol (17.6 kcal/mol)]. This constant is relatively insensitive to free magnesium concentrations but is affected by changes in temperature [ΔH⁰ = 46.9 kJ/mol (11.2 kcal/mol)]. The value of K for the serine:pyruvate aminotransferase reaction is 5.41 ± 0.11 [ΔG⁰ = ?4.37 kJ/mol (?1.04 kcal/mol)] at 38 °C (I = 0.25 M) and shows a small temperature effect [ΔH⁰ = 16.3 kJ/ mol (3.9 kcal/mol)]. The constant showed no significant effect of ionic strength (0.06–1.0 m) and a response to the hydrogen ion concentration only above pH 8.5. The value of K_obs is 5.50 ± 0.11 at pH 7.0 (38 °C, [K⁺] = 0.2 m, [Mg²⁺] = 0, I = 0.25 M). The results have also allowed the value of K for the d-glycerate kinase reaction (EC 2.7.1.31), d-Glycerate^? + ATP^4? → d-2-phosphoglycerate^3? + ADP^3? + H⁺, to be calculated to be 32.5 m (38 °C, I = 0.25 M). Values for K_obs for this reaction under these conditions and at pH 7.0 include 236 (free [Mg²⁺] = 0) and 50.8 (free [Mg²⁺] = 10^?3m).     

A mathematical model describing the effect of temperature and substrate concentration on the activities of M4 and H4 lactate dehydrogenase from the big brown bat (Eptesicus fuscus)

The effect of temperature on the activities of M₄ and H₄ lactate dehydrogenases (LDH, EC 1.1.1.27) isolated from the big brown bat (Eptesicus fuscus) was examined. Temperature effects were dependent on the concentrations of all four LDH substrates, pyruvate, lactate, NADH, and NAD. Arrhenius plots of In v_i vs reciprocal of absolute temperature were linear for all but the lowest substrate concentrations. The slopes of these Arrhenius plots were used to calculate the temperature effect parameter (μ). Substrate-dependent temperature effects for M₄ and H₄ LDH were described by an equation for a rectangular hyperbola, $\text{μ =}\text{[E}{}_{\mathrm{\beta }}\text{S + E}{}_{\mathrm{\alpha }}\text{K}{}_{\mathrm{t}}\text{]}\text{[K}{}_{\mathrm{t}}\text{+ S]}$ proposed by G. R. Harbison and J. R. Fisher (1974, Comp. Biochem. Physiol.47B, 27–32) for adenosine deaminase. The parameters E_α (μ at infinitely low substrate concentration), E_β (μ at infinitely high substrate concentration), and K_t (the concentration of substrate when $\text{μ =}\text{[E}{}_{\mathrm{\alpha }}\text{+ E}{}_{\mathrm{\beta }}\text{]}\text{2}$) can be used to describe the temperature dependence of LDH activity at any substrate concentration and to compare the substrate-dependent temperature effects on the two isoenzymes. Significantly different E_β and K_t values for pyruvate-dependent temperature effects and different E_β, E_α, K_t, and E_β ? E_α (the range of possible μ values) for lactate-dependent temperature effects were found between M₄ and H₄ LDH isoenzymes. High lactate concentrations inhibited bat H₄ LDH activity to a greater degree at low temperatures than at high temperatures. Thus substrate inhibition plays an important role in the effect of temperature on the activity of H-type LDH at high lactate concentrations. Substrate-dependent temperature effects on bat LDH activity were the result of temperature effects on the apparent K_m value of the respective substrate. Since both the apparent K_m for pyruvate and the K_i for the competitive inhibitor oxamate decreased with decreasing temperature, the substrate-dependent temperature effects observed for pyruvate probably resulted from an increased affinity between pyruvate and the LDH-NADH complex with decreasing temperature.     

Thermodynamics and mechanism of high-pressure deactivation and dissociation of porcine lactic dehydrogenase

Lactic dehydrogenase (LDH) from pig heart and pig skeletal muscle can be reversibly dissociated into monomers at high hydrostatic pressure. The reaction can be quantitatively filled by a reversible consecutive dissociation-unfolding mechanism according to Na = 4M ? 4M* (where N is the native letramer, and M and M* two different conformations of the monomer) (K. Müller, et al., Biophys. Chem. 14 (1981) 101). At P ? 1 kbar, the pressure deactivalion of both isoenzymes (H₄ and M₄) is described by the two-state equilibrium N ? 4M. From the respective equilibrium constant and the temperature and pressure dependence of the change in free energy, the thermodynamic parameters of the dissociation/deactivation may be determined, e.g., for LDH-M₄: Δg_Diss = 110 $\text{kJ}\text{mol}$, ΔSDiss = ?860 J/K per mol, ΔH_Diss = ?124 $\text{kJ}\text{mol}$ (enzyme concentration 10 $\text{μg}\text{ml}$, in Tris-HCl buffer, pH 7.6, I = 0.16 M, 293 K, 0.8 kbar); the dissociation volume is found to be ΔV_Diss = ?420 $\text{ml}\text{mol}$ (0.7 < p < 0.9 kbar). Measurements using 8-anilino-1-naphlhalenesulfonic acid (ANS) as extrinsic fluorophore demonstrate that the occurrence of hydrophobic surface area upon dissociation parallels the decrease in reactivation yield after pressurizarion beyond 1 kbar. Within the range of reversible deactivation (p < 1 kbar) no increase in ANS fluorescence is detectable, thus indicating compensatory effects in the process of subunit dissociation. ²H₂O is found to stabilize the enzyme towards pressure dissociation, in accordance with the involvement of hydrophobic interactions in the subunit contact of both isoenzymes of LDH.     

Steady-state kinetics of ADP-arsenate and ATP-synthesis in Rhodospirillum rubrum chromatophores

(1) Rates of ATP synthesis and ADP-arsenate synthesis catalyzed by Rhodospirillum rubrum chromatophores were determined with the firefly luciferase method and by a coupled enzyme assay involving hexokinase and glucose-6-phosphate dehydrogenase. (2) V_m for ADP-arsenate synthesis was about 2-times lower than V_m for ATP-synthesis. With saturating [ADP], K(As_i) was about 20% higher than K(P_i). With saturating [anion], K(ADP) was during arsenylation about 20% lower than during phosphorylation. (3) Plots of $\text{1}\text{v}$ vs. $\text{1}\text{[}\text{substrate}\text{]}$ were non-linear at low concentrations of the fixed substrate. The non-linearity was such as to suggest a positive cooperativity between sites binding the variable substrate, resulting in an increased $\text{V}{}_{\mathrm{<mtext>m</mtext>}}\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ ratio. High concentrations of the fixed substrate cause a similar increase in $\text{V}{}_{\mathrm{<mtext>m</mtext>}}\text{K}{}_{\mathrm{<mtext>m</mtext>}}$, but abolish the cooperativity of the sites binding the variable substrate. (4) Low concentrations of inorganic arsenate (As_i) stimulate ATP synthesis supported by low concentrations of P_i and ADP about 2-fold. (5) At high ADP concentrations, the apparent K_i of As_i for inhibition of ATP-synthesis was 2–3-times higher than the apparent K_m of As_i for arsenylation; the apparent K_i of P_i for inhibition of ADP-arsenate synthesis was about 40% lower than the apparent K_m of P_i for ATP synthesis. (6) The results are discussed in terms of a model in which P_i and As_i compete for binding to a catalytic as well as an allosteric site. The interaction between these sites is modulated by the ADP concentration. At high ADP concentrations, interaction between these sites occurs only when they are occupied with different species of anion.     

Role of ionization of the phosphate cosubstrate on phosphorolysis by purine nucleoside phosphorylase (PNP) of bacterial (<Emphasis Type="Italic">E. coli</Emphasis>) and mammalian (human) origin

Kinetics of the reactions of purine nucleoside phosphorylases (PNP) from E. coli (PNP-I, the product of the deoD gene) and human erythrocytes with their natural substrates guanosine (Guo), inosine (Ino), a substrate analogue N(7)-methylguanosine (m⁷Guo), and orthophosphate (P_i, natural cosubstrate) and its thiophosphate analogue (SP_i), found to be a weak cosubstrate, have been studied in the pH range 5–8. In this pH range Guo and Ino exist predominantly in the neutral forms (pK_a 9.2 and 8.8); m⁷Guo consists of an equilibrium mixture of the cationic and zwitterionic forms (pK_a 7.0); and P_i and SP_i exhibit equilibria between monoanionic and dianionic forms (pK_a 6.7 and 5.4, respectively). The phosphorolysis of m⁷Guo (at saturated concentration) with both enzymes exhibits Michaelis kinetics with SP_i, independently of pH. With P_i, the human enzyme shows Michaelis kinetics only at pH ∼5. However, in the pH range 5–8 for the bacterial enzyme, and 6–8 for the human enzyme, enzyme kinetics with P_i are best described by a model with high- and low-affinity states of the enzymes, denoted as enzyme-substrate complexes with one or two active sites occupied by P_i, characterized by two sets of enzyme-substrate dissociation constants (apparent Michaelis constants, K _m1 and K _m2) and apparent maximal velocities (V _max1 and V _max2). Their values, obtained from non-linear least-squares fittings of the Adair equation, were typical for negative cooperativity of both substrate binding (K _m1 < K _m2) and enzyme kinetics (V _max1/K _m1 > V _max2/K _m2). Comparison of the pH-dependence of the substrate properties of P_i versus SP_i points to both monoanionic and dianionic forms of P_i as substrates, with a marked preference for the dianionic species in the pH range 5–8, where the population of the P_i dianion varies from 2 to 95%, reflected by enzyme efficiency three orders of magnitude higher at pH 8 than that at pH 5. This is accompanied by an increase in negative cooperativity, characterized by a decrease in the Hill coefficient from n _H ∼1 to n _H ∼0.7 for Guo with the human enzyme, and to n _H ∼0.7 and 0.5 for m⁷Guo with the E. coli and human enzymes, respectively. Possible mechanisms of cooperativity are proposed. Attention is drawn to the substrate properties of SP_i in relation to its structure.     

Adenosine triphosphate sulfurylase from Penicillium chrysogenum equilibrium binding, substrate hydrolysis, and isotope exchange studies.

ATP sulfurylase from Penicillium chrysogenum was purified to homogeneity. The enzyme binds 8 mol of free ATP (K_s = 0.53 mM) or AMP (K_s = 0.50 mM) per 440,000 g. The results are consistent with our earlier report that the enzyme is composed of eight identical subunits of M_r 55,000 (J. W. Tweedie and I. H. Segel, 1971, Prep. Biochem. 1, 91–117; J. Biol. Chem. 246, 2438–2446). In the absence of cosubstrates, the purified enzyme catalyzes the hydrolysis of MgATP (to AMP and MgPP_i) and adenosine 5′-phosphosulfate (APS) (to AMP and SO₄^2?). MgATP hydrolysis is inhibited by nonreactive sulfate analogs such as nitrate, chlorate, and formate (uncompetitive with MgATP). In spite of the hydrolytic reactions it is possible to observe the binding of MgATP and APS to the enzyme in a qualitative (nonequilibrium) manner. Neither inorganic sulfate (the cosubstrate of the forward reaction) nor formate or inorganic phosphate (inhibitors competitive with sulfate) will bind to the free enzyme in detectable amounts in the absence or in the presence of Mg²⁺, Ca²⁺, free ATP, or a nonreactive analog of MgATP such as Mg-α,β-methylene-ATP. Similarly, inorganic pyrophosphate (the cosubstrate of the reverse reaction) will not bind in the absence or in the presence of Mg²⁺ or Ca²⁺. The induced binding of ³²P_i (presumably to the sulfate site) can be observed in the presence of MgATP. The results are consistent with the obligately ordered binding sequence deduced from the steady-state kinetics (J. Farley et al., 1976, J. Biol. Chem. 251, 4389–4397) and suggest that the subsites for SO^2?₄ or MgPP_i appear only after nucleotide cleavage to form E~AMP · MgPP_i or E~AMP · SO₄ complexes. The suggestion is supported by the relative values of K_ia (ca. 1 mm for MgATP) and K_iq (ca. 1 αm for APS) and by the inconsistent value of k_?1 calculated from $\text{V}{}_{\mathrm{<mtext>f</mtext>}}\text{K}{}_{\mathrm{<mtext>i</mtext><mtext>a</mtext>}}\text{K}{}_{\mathrm{<mtext>m</mtext><mtext>A</mtext>}}$ (The value is considerably less than V_r) Purified ATP sulfurylase will also catalyze a Mg³²PP_i-MgATP exchange in the absence of SO₄^2?. A ³⁵SO₄^2?-APS exchange could not be demonstrated in the absence or presence of MgPP_i. This result was not unexpected: The rate of APS hydrolysis (or conversion to MgATP) is extremely rapid compared to the expected exchange rate. Also, the pool of APS at equilibrium is extremely small compared to the sulfate pool. The V values for molybdolysis, APS hydrolysis (in the absence of PP_i), ATP synthesis (from APS + MgPP_i), and Mg³²PP_i-MgATP exchange at saturating sulfate are all about equal (12–19 μmol × min^?1 × mg of enzyme^?1). The rates of Mg³²PP_i-MgATP exchange in the absence of sulfate, APS synthesis (from MgATP + sulfate), and MgATP hydrolysis (in the absence of sulfate) are considerably slower (0.10 – 0.35 μmol × min^?1 × mg of enzyme^?1). These results and the fact that k₄ calculated from $\text{V}{}_{\mathrm{<mtext>r</mtext>}}\text{K}{}_{\mathrm{<mtext>i</mtext><mtext>q</mtext>}}\text{K}{}_{\mathrm{<mtext>m</mtext><mtext>Q</mtext>}}$ is considerably larger than V_f suggest that the rate-limiting step in the overall forward reaction is the isomerization reaction E~AMP-SO^2?₄ → EAPS. In the reverse direction the rate-limiting step may be SO^2?₄ release or isomerization of the E~AMP · MgPP_i · SO₄^2? complex. (The reaction appears to be rapid equilibrium ordered.) Reactions involving the synthesis or cleavage of APS are specific for Mg²⁺. Reactions involving the synthesis or cleavage of ATP will proceed with Mg²⁺, with Mn²⁺, and, at a lower rate, with Co²⁺. The results suggest that the enzyme possesses a Mg²⁺-preferring divalent cation (activator) binding site that is involved in APS synthesis and cleavage and is distinct from the MeATP or MePP_i site. The equilibrium binding of about one atom of ⁴⁵Ca²⁺ per subunit (possibly to the activator site) could be demonstrated (K_s = 1.4 mM).     

Coordination of adenylate energy charge and phosphorylation state during ischemia and under physiological conditions in rat liver and kidney

The relation of the adenylate energy charge $\text{(}\text{ATP}\text{+}\text{1}\text{2}\text{ADP/ATP}\text{+}\text{ADP}\text{+}\text{AMP}\text{)}$ to the phosphorylation state (ATP)/(ADP)(HPO₄^2?) in rat liver and kidney was analyzed. Under physiological conditions and in ischemia, the two regulatory parameters, calculated from reported values for adenine nucleotides and inorganic phosphate (P_i) and from new observations, were closely coordinated. Energy charge was an inverse linear function of P_i and -log (1 - energy charge) was a positive linear function of log phosphorylation state. To evaluate experimental data with known energy charge, but unknown P_i, and to determine the theoretical relation between energy charge and phosphorylation state, P_i was estimated from a) the regression equation: P_i, μmol/g wet wt tissue = 1.05 - energy charge/0.073 and b) the empirical relationship: (P_i/2P_a) + energy charge = k, where P_a = σAMP + 2ADP + 3ATP and k = 1. With both estimates, the relation between phosphorylation state and energy charge for the experimental data was, within error, the same as that observed with measured P_i and concordant with theoretical values. Over the physiological range of energy charge (～0.85 – 0.95, log phosphorylation state ～3.3 – 4.3), apparent ΔG_ATP (×2) was closer to the range of ΔG observed by Wilson $\text{et al}$ (Biochem. J. $\text{140}$:57, 1974) for transfer of two electrons from mitochondrial NAD to the cytochrome c couple than the ΔG_ATP (×2) they reported, supporting their conclusion that near-equilibrium exists between the mitochondrial respiratory chain and the cytoplasmic phosphorylation state under physiological conditions. From evidence presented, it is postulated that the phosphorylation state is regulated by the adenylate energy charge.     

Tryptophan 207 is crucial to the unique properties of the human voltage-gated proton channel,hHV1

Part of the “signature sequence” that defines the voltage-gated proton channel (H_V1) is a tryptophan residue adjacent to the second Arg in the S4 transmembrane helix: RxWRxxR, which is perfectly conserved in all high confidence H_V1 genes. Replacing Trp²⁰⁷ in human H_V1 (hH_V1) with Ala, Ser, or Phe facilitated gating, accelerating channel opening by 100-fold, and closing by 30-fold. Mutant channels opened at more negative voltages than wild-type (WT) channels, indicating that in WT channels, Trp favors a closed state. The Arrhenius activation energy, E_a, for channel opening decreased to 22 kcal/mol from 30–38 kcal/mol for WT, confirming that Trp²⁰⁷ establishes the major energy barrier between closed and open hH_V1. Cation–π interaction between Trp²⁰⁷ and Arg²¹¹ evidently latches the channel closed. Trp²⁰⁷ mutants lost proton selectivity at pH_o >8.0. Finally, gating that depends on the transmembrane pH gradient (ΔpH-dependent gating), a universal feature of H_V1 that is essential to its biological functions, was compromised. In the WT hH_V1, ΔpH-dependent gating is shown to saturate above pH_i or pH_o 8, consistent with a single pH sensor with alternating access to internal and external solutions. However, saturation occurred independently of ΔpH, indicating the existence of distinct internal and external pH sensors. In Trp²⁰⁷ mutants, ΔpH-dependent gating saturated at lower pH_o but not at lower pH_i. That Trp²⁰⁷ mutation selectively alters pH_o sensing further supports the existence of distinct internal and external pH sensors. Analogous mutations in H_V1 from the unicellular species Karlodinium veneficum and Emiliania huxleyi produced generally similar consequences. Saturation of ΔpH-dependent gating occurred at the same pH_o and pH_i in H_V1 of all three species, suggesting that the same or similar group(s) is involved in pH sensing. Therefore, Trp enables four characteristic properties: slow channel opening, highly temperature-dependent gating kinetics, proton selectivity, and ΔpH-dependent gating.