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.     

Bovine fibrinogens: Reversible polymer formation

Reversible flbrinogen polymer formation was examined at pH 6.6 and Γ/2 0.3. The equilibrium fraction of fibrinogen present as polymer, (P_mf)_e, was determined by gel filtration for fibrinogen concentrations, F_O, from 48 to 166 μm. Using F_O in molarity, the experimental relation is ln [F_O(P_mf)_e] = 3.53 ln[F_O(1 ? (P_mf)_e)] + 23.73. This relation and attendant confidence limits are examined assuming, during filtration, that the original polymer population is either stable or selected polymer species dissociate to monomer. The possibility that all polymers are open is excluded since the calculated microscopic association constant would then increase with F_O. Acceptable models are based on the assumptions that polymers are open, with association constant K_a, until restricted by closure, with association constant K_r, at an integral degree of polymerization, n. Values are selected on the basis that interaction parameters are independent of F_O and that the required molar decrease in free energy is a minimum. Assuming polymer stability, the experimental relation at 273 °K gives $\text{n = 4,}\text{K}{}_{\mathrm{r}}\text{K}{}_{\mathrm{a}}\text{= 1.2 m,}\text{and}\text{K}{}_{\mathrm{a}}$ = 736 m^?1. Temperature dependence gives $\text{ΔH= ?16.9 kcal/mol}\text{and}\text{ΔS}{}^{\mathrm{O}}{}_{\mathrm{a}}$ = ?48.8 e.u. $\text{K}{}_{\mathrm{r}}\text{K}{}_{\mathrm{a}}$ indicates a relation between changes in entropy. The probability is >0.90 that $\text{K}{}_{\mathrm{r}}\text{K}{}_{\mathrm{a}}\text{? 56 m}$, which indicates a greater loss of degrees of freedom on closure than on association. Conclusions are not altered by the assumption that only the closed polymer species is stable. As ionic strength is decreased at pH 6.6, K_a increases. The clotting time of an otherwise constant system decreases as system P_mf is increased.     

The pH dependence of peptide hydrolysis by nitrocarboxypeptidase A

Hydrolysis of benzyloxycarbonyl-GlyGlyPhe by nitro(Tyr 248)carboxypeptidase A over the pH range 4.88–8.04 has been examined. The nitroenzyme retains appreciable activity near pH 6.5, and the limiting value of K_m is scarcely affected. The peptidase activity has a pH dependence characterized by the following parameters: pK_E1 of 6.37 ± 0.19 and pK_E2 of 6.60 ± 0.17 in $\text{k}{}_{\mathrm{<mtext>cat</mtext>}}\text{K}{}_{\mathrm{m}}$, and apparent pK of 5.59 ± 0.06 in K_cat. A spectroscopic pK of 6.75 ± 0.01, attributable to the nitro-Tyr 248 residue, has been determined. This correlates with the base-limb pK_E2 in the $\text{k}{}_{\mathrm{<mtext>cat</mtext>}}\text{K}{}_{\mathrm{m}}$ profile, which appears to be shifted from a higher value, pK_E2 of 9.0, for the native enzyme. The single (acid-limb) pK which characterizes the k_cat profile of the native enzyme is also found to be perturbed to a lesser extent by nitration. A kinetically competent reverse protonation mechanism, based on chemical modification and crystallographic evidence for the enzyme, is described.     

pH kinetic studies of the N-demethylation of N,N-dimethylaniline catalyzed by chloroperoxidase

The effect of pH on the kinetic parameters for the chloroperoxidase-catalyzed N-demethylation of N,N-dimethylaniline supported by ethyl hydroperoxide was investigated from pH 3.0 to 7.0. Chloroperoxidase was found to be stable throughout the pH range studied. Initial rate conditions were determined throughout the pH range. The V_max for the demethylation reaction exhibited a pH optimum at approximately 4.5. The K_m for N,N-dimethylaniline increased with decreasing pH, while the K_m for ethyl hydroperoxide varied in a manner paralleling V_max. Comparison of the $\text{V}{}_{\mathrm{<mtext>max</mtext>}}\text{K}{}_{\mathrm{m}}$ values for N,N-dimethylaniline and ethyl hydroperoxide indicated that the interaction of N,N-dimethylaniline with chloroperoxidase compound I was rate-limiting below pH 4.5, while compound I formation was rate-limiting above pH 4.5. The log of the $\text{V}{}_{\mathrm{<mtext>max</mtext>}}\text{K}{}_{\mathrm{m}}$ for ethyl hydroperoxide was independent of pH, indicating that chloroperoxidase compound I formation is not affected by ionizations in this pH range. The plot of the log of the $\text{V}{}_{\mathrm{<mtext>max</mtext>}}\text{K}{}_{\mathrm{m}}$ for N,N-dimethylaniline versus pH indicated an ionization on compound I with a pK of approximately 6.8. The plot of the log of the V_max versus pH indicated an ionization on the compound I-N,N-dimethylaniline complex, with a pK of approximately 3.1. The results show that chloroperoxidase can demethylate both the protonated and neutral forms of N,N-dimethylaniline (pK approximately 5.0), suggesting that hydrophobic binding of the arylamine substrate is more important in catalysis than ionic bonding of the amine moiety. For optimal catalysis, a residue in the chloroperoxidase compound I-N,N-dimethylaniline complex with a pK of approximately 3.1 must be deprotonated, while a residue in compound I with a pK of approximately 6.8 must be protonated.     

An improved spectrophotometric assay for human plasma carboxypeptidase N

A continuous spectrophotometric assay for human plasma carboxypeptidase N utilizing furylacryloyl-alanyl-lysine is described. Synthesis was made by use of 9-(2-sulfo)fluorenylmethyloxycarbonyl (Sulfmoc) chloride as the N-?-amino-blocking group for lysine. The substrate has the advantage of containing a chromophore which allows difference measurements above 324 nm. The kinetic parameters K_m and $\text{K}{}_{\mathrm{<mtext>cat</mtext>}}\text{K}{}_{\mathrm{m}}$ have been determined for furylacryloyl-alanyl-lysine and -arginine. Difference measurements were related to micromoles of lysine or arginine released and were expressed as units.     

An allosteric pore model for sugar transport in human erythrocytes

Glucose transport in human erythrocytes is characterized by a marked asymmetry in the $\text{V}$ and $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ values for entry and for exit. In addition, they show a high $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ and a high $\text{V}$ for equilibrium exchange but low $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ values for infinite cis and for infinite trans exit and entry. An allosteric pore model has been proposed to account for these characteristics. In this model, substrate-induced conformational changes destabilize the interfaces between protein subunits (the pore gates).Pores doubly occupied from inside destabilize the transport gates and result in high $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ and high $\text{V}$ transport parameters. This effect is less marked when pores are doubly occupied from outside and therefore transport asymmetry results.     

Cotransport of phosphate and sodium by yeast

Phosphate uptake by yeast at pH 7.2 is mediated by two mechanisms, one of which has a $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ of 30 μM and is independent of sodium, and a sodium-dependent mechanism with a $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ of 0.6 μM, both $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ values with respect to monovalent phosphate. The sodium-dependent mechanism has two sites with affinity for Na⁺, with affinity constants of 0.04 and 29 mM. Also lithium enhances phosphate uptake; the affinity constants for lithium are 0.3 and 36 mM. Other alkali ions do not stimulate phosphate uptake at pH 7.2. Rubidium has no effect on the stimulation of phosphate uptake by sodium.Phosphate and arsenate enhance sodium uptake at pH 7.2. The $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ of this stimulation with regard to monovalent orthophosphate is about equal to that of the sodium-dependent phosphate uptake.The properties of the cation binding sites of the phosphate uptake mechanism and those of the phosphate-dependent cation transport mechanism have been compared. The existence of a separate sodium-phosphate cotransport system is proposed.     

Base-group specificity at the primary recognition site of ribonuclease T1 for minimal RNA substrates

Kinetic studies on the RNase T₁-catalyzed transesterification of 12 dinucleoside monophosphates, N_p¹N² (N¹ = A, C, and U; N² = A, C, G, and U) at pH 5, 25 °C, and 0.2 m ionic strength, revealed that the catalytic efficiency ($\text{k}{}_{\mathrm{<mtext>cat</mtext>}}\text{K}{}_{\mathrm{m}}$) for GpN substrates (H. L. Osterman, and F. G. Walz, Jr., 1978, Biochemistry, 17, 4142) was ~10⁶-fold greater than corresponding ApNs and at least 10⁸-fold greater than corresponding CpNs and UpNs. The catalytic activity with ApN substrates survives phenol extraction which indicates (along with other criteria) that it is intrinsic to RNase T₁ and is not due to trace contamination by other nucleases. Circumstantial evidence is presented which suggests that homologous GpN and ApN substrates bind productively at different sites on the enzyme. The results of steady-state kinetic studies of RNase T₁ with IpNs (N = C and U) were compared with those for GpNs and indicated that the primary effect of the guanine 2-NH₂ group is to enhance substrate binding at the primary recognition site by ~2.6 kcal/mol. Values of ($\text{k}{}_{\mathrm{<mtext>cat</mtext>}}\text{K}{}_{\mathrm{m}}$) showed the order NpC > NpU (N = A, G, and I) which evidences the existence of a subsite for the leaving nucleoside group that prefers cytidine: interactions at this subsite are reflected in k_cat rather than K_m.     

Effects of oligomycin and quercetin on the hydrolytic activities of the (Na+ + K+)-dependent ATPase

Quercetin inhibited a dog kidney ($\text{Na}{}^{\mathrm{+}}\text{+}\text{K}{}^{\mathrm{+}}\text{)-}\text{ATPase}$ preparation without affecting $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ for ATP or $\text{K}{}_{0.5}$ for cation activators, attributable to the slowly-reversible nature of its inhibition. Dimethyl sulfoxide, a selector of E₂ enzyme conformations, blocked this inhibition, while the K⁺-phosphatase activity was at least as sensitive to quercetin as the ($\text{Na}{}^{\mathrm{+}}\text{+}\text{K}{}^{\mathrm{+}}\text{)-}\text{ATPase}$ activity, all consistent with quercetin favoring E₁ conformations of the enzyme. Oligomycin, a rapidly-reversible inhibitor, decreased the $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ for ATP and the $\text{K}{}_{0.5}$ for cation activators, and its inhibition was also diminished by dimethyl sulfoxide. Although oligomycin did not inhibit the K⁺-phosphatase activity under standard assay conditions, a reaction presumably catalyzed by E₂ conformations, its effects are nevertheless accommodated by a quantitative model for that reaction depicting oligomycin as favoring E₁ conformations. The model also accounts quantitatively for effects of both dimethyl sulfoxide and oligomycin on $\text{V}{}_{\mathrm{<mtext>max</mtext>}}$, $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ for substrate, and $\text{K}{}_{0.5}$ for K⁺, as well as for stimulation of phosphatase activity by both these reagents at low K⁺ but high Na⁺ concentrations.     

Hymenolepis diminuta: The non-saturable component of methionine uptake

Lussier P. E., Podesta R. B. and Mettrick D. F. 1982. Hymenolepis diminuta: the non-saturable component of methionine uptake. International Journal for Parasitoiogy12: 265–270. The concentration dependence of in vitro unidirectional methionine influx by Hymenolepis diminuta was analysed by the relation: $\text{J =}\text{(J}{}_{\mathrm{<mtext>m</mtext>}}\text{C}{}_{\mathrm{<mtext>b</mtext>}}\text{)}\text{(K}{}_{\mathrm{t}}\text{+ C}{}_{\mathrm{<mtext>b</mtext>}}\text{)}\text{+ K}{}_{\mathrm{d}}\text{(C}{}_{\mathrm{<mtext>b</mtext>}}\text{)}$, where J_m is the maximum uptake rate, K_t is the the apparent affinity constant and C_b is the medium substrate concentration. The linear component was separated using an asymptotic least squares curve fitting procedure and the resulting constant, K_d, is thought to be an apparent permeability coefficient. K_d may be a reflection of a simple diffusive component, a second mediated component or a combination of a passive and mediated influx. The low Q₁₀ value of the K_d's for methionine uptake (Q₁₀ = 1.31) indicated that this component is probably a reflection of diffusion within the membrane. However, the decrease in the K_d component in the presence of leucine and glycine, implies that there is also a small, second, mediated component in addition to the diffusive component. K_d derived from the asymptotic portion of the concentration-flux relation was compared with the residual flux of methionine after near complete inhibition of the mediated component with leucine and glycine. The K_d component was found to be pH-sensitive, increasing as the pH decreased and was not affected by external sodium. Results indicate that the mediated component of methionine influx was accelerated by increasing external Na⁺ and H⁺ concentrations.     

Sucrose transport by Streptococcus mutans. Evidence for multiple transport systems

The transport of sucrose by selected mutant and wild-type cells of Streptococcus mutans was studied using washed cocci harvested at appropriate phases of growth, incubated in the presence of fluoride and appropriately labelled substrates. The rapid sucrose uptake observed cannot be ascribed to possible extracellular formation of hexoses from sucrose and their subsequent transport, formation of intracellular glycogen-like polysaccharide, or binding of sucrose or extracellular glucans to the cocci. Rather, there are at least three discrete transport systems for sucrose, two of which are $\text{phospho}\text{enol}\text{pyruvate-dependent}$ phosphotransferases with relatively low apparent $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ values and the other a non-phosphotransferase (non-PTS) third transport system (termed TTS) with a relatively high apparent $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$. For strain 6715-13 mutant 33, the $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ values are 6.25·10^?5 M, 2.4·10^?4 M, and 3.0·10^?3 M, respectively; for strain NCTC-10449, the $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ values are 7.1·10^?5 M, 2.5·10^?4 M and 3.3·10^?3 M, respectively. The two lower $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ systems could not be demonstrated in mid-log phase glucose-adapted cocci, a condition known to repress sucrose-specific phosphotransferase activity, but under these conditions the highest $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ system persists. Also, a mutant devoid of sucrose-specific phosphotransferase activity fails to evidence the two high affinity (low apparent $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$) systems, but still has the lowest affinity (highest $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$) system. There was essentially no uptake at 4°C indicating these processes are energy dependent. The third transport system, whose nature is unknown, appears to function under conditions of sucrose abundance and rapid growth which are known to repress $\text{phospho}\text{enol}\text{pyruvate-dependent}$ sucrose-specific phosphotransferase activity in S. mutans. These multiple transport systems seem well-adapted to S. mutans which is faced with fluctuating supplies of sucrose in its natural habitat on the surfaces of teeth.     

Nitro analogs of substrates for adenylosuccinate synthetase and adenylosuccinate lyase

The reactivities of the nitro analogs of the substrates of adenylosuccinate synthetase and adenylosuccinate lyase, the enzymes which catalyze the penultimate and last step, respectively, in the pathway for AMP biosynthesis have been examined. Alanine-3-nitronate, an aspartate analog, was a substrate for the synthetase from Azotobacter vinelandii, having a $\text{k}{}_{\mathrm{<mtext>cat</mtext>}}\text{K}{}_{\mathrm{m}}$ which was ~30% that for aspartate. The product of this reaction was N⁶-(l-1-carboxy-2-nitroethyl)-AMP. Of nine other substrate analogs tested, only cysteine sulfinate (having 5.5% of the activity of aspartate) was reactive. These results demonstrate the strict requirement of the synthetase for a negatively charged substituent, with a carboxylate-like geometry, at the β-carbon of the α-amino acid substrate. The lyase, purified to homogeneity from brewer's yeast by a new procedure, did not utilize N⁶-(l-1-carboxy-2-nitroethyl)-AMP as a substrate. However, the nitronate form of this analog was a good inhibitor of the lyase ($\text{K}{}_{\mathrm{m}}\text{K}{}_{\mathrm{i}}\text{= 28}$ when compared to adenylosuccinate), suggesting that it mimics a carbanionic intermediate in the reaction pathway. The avid binding of bromphenol blue by the lyase (_i = 0.95 μM) was used for active site titrations and for displacement of the enzyme, in the purification protocol, from blue Sepharose.     

Ammonium (methylammonium) transport by Klebsiella pneumoniae

Klebsiella pneumoniae can accumulate methylammonium up to 80-fold by means of a transport system as indicated by the energy requirement, saturation kinetics and a narrow pH profile around pH 6.8. Methylammonium transport (apparent $\text{K}{}_{\mathrm{<mtext>m</mtext>}}\text{= 100 μ}\text{M}$, $\text{V = 40 μ}\text{mol/min}$ per g dry weight at 15°C) is competitively inhibited by ammonium (apparent $\text{K}{}_{\mathrm{<mtext>i</mtext>}}\text{= 7 μ}\text{M}$). The low $\text{K}{}_{\mathrm{<mtext>i</mtext>}}$ value and the finding that methylammonium cannot serve as a nitrogen source indicate that ammonium rather than methylammonium is the natural substrate. Uphill transport is driven by a component of the protonmotive force, probably the membrane potential. The transport system is under genetic control; it is partially repressed by amino acids and completely by ammonium. Analysis of mutants suggest that the synthesis of the ammonium transport system is subject to the same ‘nitrogen control’ as nitrogenase and glutamine synthetase.     

Graphic method for determination of allosteric constants

The maximum slope of the plot, appearing in the paper of Watari & Isogai (1976), was derived algebraically as a function of allosteric constants c and α_mor β_m (= cα_m), and the relation between L, c, and α_mor β_m, was also obtained, where $\text{L =}\text{T}{}_{\mathrm{o}}\text{R}{}_{\mathrm{o}}\text{, c =}\text{K}{}_{\mathrm{R}}\text{K}{}_{\mathrm{T}}\text{, α}{}_{\mathrm{m}}\text{=}\text{F}{}_{\mathrm{m}}\text{K}{}_{\mathrm{R}}\text{, β}{}_{\mathrm{m}}\text{=}\text{F}{}_{\mathrm{m}}\text{K}{}_{\mathrm{T}}\text{, R}{}_{\mathrm{o}}\text{and}\text{T}{}_{\mathrm{o}}$ are concentrations of unligated R and T states respectively, K_Rand K_T are microscopic dissociation constants, and F_m is the ligand concentration at the maximum slope of the plot. When the maximum slope is increased by one, the value becomes Hill constant, n. Nomographs which enable easier estimation of allosteric constants, L and c, were constructed from the two given values, the maximum slope of the plot, n ? 1, and α_mor β_m, in the cases where the maximum number of ligands, N, was 2 and 4. In the nomograph, log c is plotted against log L²c^N keeping the value of the maximum slope of the plot and that of α_mor β_m constant. These nomographs show that the representation is symmetrical in the cases of L²c^N > 1 and L²c^N < 1.     

Regulatory interaction between calmodulin and ATP on the red cell Ca2+ pump

The interactions between calmodulin, ATP and Ca²⁺ on the red cell Ca²⁺ pump have been studied in membranes stripped of native calmodulin or rebound with purified red cell calmodulin. Calmodulin stimulates the maximal rate of $\text{(Ca}{}^{\mathrm{2+}}\text{+ Mg}{}^{\mathrm{2+}}\text{)-ATPase}$ by 5–10-fold and the rate of Ca²⁺-dependent phosphorylation by at least 10-fold. In calmodulin-bound membranes ATP activates $\text{(}\text{Ca}{}^{\mathrm{2+}}\text{+ Mg}{}^{\mathrm{2+}}\text{)-ATPase}$ along a biphasic concentration curve ($\text{K}{}_{\mathrm{<mtext>m</mtext><mtext>1</mtext>}}\text{≈ 1.4 μ}\text{M}\text{, K}{}_{\mathrm{<mtext>m</mtext><mtext>2</mtext>}}\text{≈ 330 μ}\text{M}$), but in stripped membranes the curve is essentially hyperbolic ($\text{K}{}_{\mathrm{<mtext>m</mtext>}}\text{≈ 7 μ}\text{M}$). In calmodulin-bound membranes Ca²⁺ activates $\text{(}\text{Ca}{}^{\mathrm{2+}}\text{+ Mg}{}^{\mathrm{2+}}\text{)-ATPase}$ at low concentrations ($\text{K}{}_{\mathrm{<mtext>m</mtext>}}\text{< 0.28 μ}\text{M}$) in stripped membranes the apparent Ca²⁺ affinities are at least 10-fold lower.The results suggest that calmodulin (and perhaps ATP) affect a conformational equilibrium between E₂ and E₁ forms of the Ca²⁺ pump protein.     

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.     

Thiamine transport in thiamine-deficient rats role of the unstirred water layer

As part or a systematic study of alcoholism and thiamine absorption, the effect of diet-induced thiamine deficiency and the role of the unstirred water layer on thiamine transport were investigated. Using ³H-labeled dextran as a marker of adherent mucosal volume, jejunal uptake of ¹⁴C-labeled thiamine hydrochloride was measured, in vitro, in thiamine-deficient rats and pair-fed controls. Uptake of low thiamine concentrations (0.2 and 0.5 μM) was greater in the thiamine-deficient rats thatn in the controls. In contrast, uptake rates for high thiamine concentrations (20 and 50 μM) were similar in both groups. While $\text{1J}{}_{\max }$ was unaltered, $\text{1K}{}_{\mathrm{m}}$ was decreased in thiamine deficiency, suggesting a decrease in unstirred water layer thickness. Accordingly, the thickness of the water layer was measured in both groups of animals and correlated with $\text{1J}{}_{\max }$ and $\text{1K}{}_{\mathrm{m}}$ under unstirred and st irred conditions. Without stirring, there was no difference in $\text{1J}{}_{\max }$ between the two groups. In contrast, both $\text{1K}{}_{\mathrm{m}}$ and the water layer were reduced in the thiamine-deficient rats. With stirring, $\text{1J}{}_{\max }$ was not affected, but both $\text{1K}{}_{\mathrm{m}}$ and the water layer thickness were reduced to similar values in both groups. Reversal of thiamine deficiency resulted in the return of thiamine uptake and the unstirred water layer thickness to control values. These data support the concept of a dual system of thiamine transport and emphasize the role of the unstirred water layer as an important determinant of transport kinetics not only under physiologic situations but also in diet-induced rat thiamine deficiency, a model for a clinical pathological state. The decrease in the unstirred water layer thickness in thiamine deficiency may be also viewed as a possible adaptive mechanism to facilitate absorption of meager supplies of thiamine.     

Study on models of single populations: an expansion of the logistic and exponential equations

Using the adsorption theory of chemical kinetics, a new equation concerning the growth of single populations is presented:

$\text{d}\text{X}\text{d}\text{t}\text{=}\text{μ}{}_{\mathrm{c}}\text{X(1 ?)}\text{X}\text{X}{}_{\mathrm{m}}\text{1?}\text{X}\text{X}{}_{\mathrm{m}}{}^{\mathrm{\prime }}$

or in its integral form:

$\text{ln}\text{X}\text{X}{}_{\mathrm{o}}\text{?}\text{ln}\text{X}{}_{\mathrm{m}}\text{?X}\text{X}{}_{\mathrm{m}}\text{?X}{}_{\mathrm{o}}\text{+}\text{X}{}_{\mathrm{m}}\text{X}{}^{\mathrm{\prime }}{}_{\mathrm{m}}\text{X}{}_{\mathrm{m}}\text{?X}\text{X}{}_{\mathrm{m}}\text{?X}{}_{\mathrm{o}}\text{=μ}{}_{\mathrm{c}}\text{(t?t}{}_{\mathrm{o}}\text{)}$

This equation attempts to explain the relationship between population increment and limiting resources. It can be reduced to either the logistic or exponential equation under two extreme conditions. The new equation has three parameters, X_m, X′_m and μ_c, each of which has ecological significance. $\text{X}{}_{\mathrm{m}}\text{X′}{}_{\mathrm{m}}$ concerns the efficiency of nutrient utilization by an organism. Its value is between zero and one. With ratios approaching unity, the efficiency is high; lower ratios indicate that population increment is quickly restricted by limiting resources. μ_c, is a velocity parameter lying between μ_e, (exponential growth) and μ_L (logistic growth), and is dependent on the value of $\text{solX}{}_{\mathrm{m}}\text{X′}{}_{\mathrm{m}}$. From μ_c we can predict the time course of population incremental velocity ($\text{d}\text{X}\text{d}\text{t}$), and can observe that it is not symmetrical, unlike that derived from the logistic equation. At $\text{X}{}_{\mathrm{m}}\text{X′}{}_{\mathrm{m}}\text{= 1}$ the maximum velocity of the population increment predicted from the new equation is twice that of the logistic equation.Population growth in nature seems to support the new equation rather than the logistic equation, and it can be successfully fitted by means of a least square method.     

Enzymic and physicochemical characterization of ribulose 1,5-bisphosphate carboxylase/oxygenase from diploid and tetraploid cultivars of perennial ryegrass

Homogeneous preparations of ribulose 1,5-bisphosphate carboxylase/oxygenase (EC 4.1.1.39) were isolated from several diploid and tetraploid cultivars of perennial ryegrass (Lolium perenne L.) by three different purification protocols. The apparent K_m values for substrate CO₂ were essentially identical for the fully $\text{CO}{}_2\text{Mg}{}^{\mathrm{2+}}$-activated diploid and tetraploid enzymes, as were the kinetics for deactivation and activation of the $\text{CO}{}_2\text{Mg}{}^{\mathrm{2+}}$ activated and -depleted carboxylases, respectively. Similarly, virtually indistinguishable electrophoretic properties were observed for both the native and dissociated diploid and tetraploid ryegrass proteins, including native and subunit molecular weights and the isoelectric points of the native proteins and the large and small subunit component polypeptides. The quantity of carboxylase protein or total soluble leaf protein did not differ significantly between the diploid and tetraploid cultivars. Contrary to a previous report (M. K. Garrett, 1978, Nature (London)274, 913–915), these results indicate that increased ploidy level (i.e., nuclear gene dosage) has had essentially no effect on the quantity or enzymic and physicochemical properties of ribulosebisphosphate carboxylase/ oxygenase in perennial ryegrass.