Sodium dependence of maximum flux, JM, and Km of amino acid transport in Ehrlich ascites cells

The Michaelis-Menten parameters, $\text{J}{}_{\mathrm{<mtext>M</mtext>}}$ and $\text{K}{}_{\mathrm{m}}$ of the initial 1-min fluxes of uptake of l-phenylalanine and of α-aminoisobutyric acid were determined for extracellular concentrations of Na⁺ ranging from 0.5 to 110 mequiv/l for Ehrlich ascites tumor cells. The maximal initial flux, $\text{J}{}_{\mathrm{<mtext>M</mtext>}}$, decreased with decrease in extracellular Na⁺ for both α-aminoisobutyric acid and phenylalanine but the $\text{K}{}_{\mathrm{m}}$ for α-aminoisobutyric acid increased markedly as the Na⁺ concentration fell whereas the $\text{K}{}_{\mathrm{m}}$ for phenylalanine decreased. Cycloleucine behaved like phenylalanine.The data provides strong evidence that the Na⁺-independent flux of phenylalanine is an exchange diffusion flux that can be varied by changing the intracellular level of amino acids such as phenylalanine. For phenylalanine, cyclolcucine, and methionine this exchange diffusion flux appears to be additive with the Na⁺-dependent initial flux. α-Aminoisobutyric acid also has an exchange diffusion that is Na⁺-independent but it has a high $\text{K}{}_{\mathrm{m}}$ and is not additive with the Na⁺-dependent flux.     

Characterization of sodium and proton flows in sub-bacterial particles of Halobacterium halobium in terms of nonequilibrium thermodynamics

A thermodynamic characterization of the Na⁺-H⁺ exchange system in Halobacterium halobium was carried out by evaluating the relevant phenomenological parameters derived from potential-jump measurements. The experiments were performed with sub-bacterial particles devoid of the purple membrane, in 1 M NaCl, 2 M KCl, and at pH 6.5–7.0. Jumps in either pH or pNa were brought about in the external medium, at zero electric potential difference across the membrane, and the resulting relaxation kinetics of protons and sodium flows were measured. It was found that the relaxation kinetics of the proton flow caused by a pH-jump follow a single exponential decay, and that the relaxation kinetics of both the proton and the sodium flows caused by a pNa-jump also follow single exponential decay patterns. In addition, it was found that the decay constants for the proton flow caused by a pH-jump and a pNa-jump have the same numerical value. The physical meaning of the decay constants has been elucidated in terms of the phenomenological coefficients (mobilities) and the buffering capacities of the system. The phenomenological coefficients for the Na⁺-H⁺ flows were determined as differential quantities. The value obtained for the total proton permeability through the particle membrane via all available channels, $\text{L}{}_{\mathrm{<mtext>H</mtext>}}\text{= (}\text{?J}{}_{\mathrm{<mtext>H\; +</mtext>}}\text{?Δ}\text{pH}\text{)}{}_{\mathrm{<mtext>\Delta \psi ,\Delta </mtext><mtext>pNa</mtext>}}$, was in the range of 850–1150 nmol H⁺·(mg protein)^?1·h^?1·(pH unit)^?1 for four different preparations; for the total Na⁺ permeability, $\text{L}{}_{\mathrm{<mtext>Na</mtext>}}\text{= (}\text{?J}{}_{\mathrm{<mtext>Na</mtext>}}{}^{\mathrm{+}}\text{?Δ}\text{pNa}\text{)}{}_{\mathrm{<mtext>\Delta \psi ,\Delta </mtext><mtext>pH</mtext>}}$, it was 1620–2500 nmol Na⁺·(mg protein)^?1·h^?1·(pNa unit)^?1; and for the proton ‘cross-permeability’, $\text{L}{}_{\mathrm{<mtext>HNa</mtext>}}\text{= (}\text{?J}{}_{\mathrm{<mtext>H</mtext>}}{}^{\mathrm{+}}\text{?Δ}\text{pNa}\text{)}{}_{\mathrm{<mtext>\Delta \psi ,\Delta </mtext><mtext>pH</mtext>}}$, it was 220–580 nmol H⁺·(mg protein)^?1·h^?1·(pNa unit)^?1, for different preparations. From the above phenomenological parameters, the following quantities have been calculated: the degree of coupling (q), the maximal efficiency of Na⁺-H⁺ exchange (η_max), the flow and force efficacies (?) of the above exchange, and the admissible range for the values of the molecular stoichiometry parameter (r). We found q ? 0.4; η_max ? 5%; 0.36 ? r ? 2; ?_JNa⁺ ? 1.3 · 10⁵μmol · (RT unit)^?1 at J_Na = 1 μmolNa⁺ · (mgprotein)^?1 · h^?1; and ?_ΔpNa ? 5 · 10⁴ ΔpNa · (mg protein) · h · (RT unit)^?1 at ΔpNa = 1 unit, for different preparations.     

Localization of the Na+-sugar cotransport system in a kidney epithelial cell line (LLC PK1)

Studies of the localization of the Na⁺-dependent sugar transport in monolayers of LLC PK₁ cells show that the uptake of a methyl α-d-glucoside, a nonmetabolizable sugar which shares the glucose-galactose transport system, occurs mainly from the apical side of the monolayer. Kinetics of [³H]phlorizin binding to monolayers of LLC PK₁ cells were also measured. These studies demonstrate the presence of two distinct classes of receptor sites. The class comprising high affinity binding sites had a dissociation constant ($\text{K}{}_{\mathrm{<mtext>d</mtext>}}$) of 1.2 μM and a concentration of high affinity receptors of 0.30 μmol binding sites per g DNA. The other class involving low affinity sites had a $\text{K}{}_{\mathrm{<mtext>d</mtext>}}$ of 240 μM with the number of binding sites equal to 12 μmol/g DNA. Phlorizin binding at high affinity binding sites is a Na⁺-dependent process. Binding at the low affinity sites on the contrary is Na⁺-independent. The mode of action of Na⁺ on the high affinity binding sites was to increase the dissociation constant without modifying the number of binding sites. The Na⁺ dependence and the matching of $\text{K}{}_{\mathrm{<mtext>d</mtext>}}$ for high affinity binding sites with the $\text{K}{}_{\mathrm{<mtext>i</mtext>}}$ of phlorizin for the inhibition of methyl α-d-glucoside strongly suggest that the high affinity phlorizin binding site is, or is part of the methyl α-d-glucoside transport system. Binding studies from either side of the monolayer also show that the binding of phlorizin at the Na⁺ dependent high affinity binding sites occurs mainly from the apical rather than the basolateral side. The specific location of the Na⁺-dependent sugar transport system in the apical membrane of LLC PK₁ cells is, therefore, another expression of the functional polarization of epithelial cells that is retained under tissue culture condition. In addition, since this sugar transport almost disappears after the cells are brought into suspension, it can be used as a marker to study the development of the apical membrane in this cell line.     

Kinetics of bidirectional active sodium fluxes in the toad bladder

The kinetics of isotopic Na⁺ flows was studied in urinary bladders of toads from the Dominican Republic. Initial studies of the potential dependence of passive serosal to mucosal ²²Na⁺ efflux demonstrated the absence of isotope interaction and/or other coupling with passive Na⁺ flow. The electrical current $\text{I}$ and mucosal to serosal ²²Na⁺ influx were then measured with transmembrane potential clamped at $\text{Δψ = 0, 25, 50, 75 or 100}\text{mV}$. Subsequent elimination of active Na⁺ transport mucosal amiloride permitted calculation of the rates of active Na⁺ transport $\text{J}{}_{\mathrm{<mtext>Na</mtext>}}{}^{\mathrm{<mtext>a</mtext>}}$ and active and passive influx and $\text{J}{}_{\mathrm{<mtext>Na</mtext>}}{}^{\mathrm{<mtext>a</mtext>}}$ and $\text{J}{}_{\mathrm{<mtext>Na</mtext>}}{}^{\mathrm{<mtext>p</mtext>}}$. The results indicate that for Dominican toad bladders mounted in chambers only Na⁺ contributes significantly to transepithelial active ion transport; hence $\text{J}{}_{\mathrm{<mtext>Na</mtext>}}{}^{\mathrm{<mtext>a</mtext>}}\text{= J}{}^{\mathrm{<mtext>a</mtext>}}$. $\text{J}{}^{\mathrm{<mtext>a</mtext>}}$ was abolished at $\text{Δψ = E = 96.3 ± 1.9}\text{(S.E.) mV}$. As Δψ approached $\text{E}$, active efflux $\text{J}{}^{\mathrm{<mtext>a</mtext>}}$ became demonstrable. At $\text{Δ = 100}\text{mV}\text{,}\text{J}{}^{\mathrm{<mtext>a</mtext>}}$ exceeded $\text{J}{}^{\mathrm{<mtext>a</mtext>}}$, so that $\text{J}{}^{\mathrm{<mtext>a</mtext>}}$ was negative. Experimental values of $\text{J}{}^{\mathrm{<mtext>a</mtext>}}$ agreed well with theoretical values predicted by a thermodynamic formulation: $\text{J}{}_{\mathrm{<mtext>exp</mtext>}}{}^{\mathrm{<mtext>a</mtext>}}\text{= 0.985}\text{J}{}_{\mathrm{<mtext>theor</mtext>}}{}^{\mathrm{<mtext>a</mtext>}}\text{(r = 0.993)}$. The dependence of $\text{J}{}^{\mathrm{<mtext>a</mtext>}}$ on Δψ is curvilinear.     

Phlorizin as a probe of the small-intestinal Na+,d-glucose cotransporter. A model

(1)‘Uptake’ of phlorizin by intestinal brush border membrane vesicles is stimulated, much as that of d-glucose, by the simultaneous presence of Na_out⁺ and $\text{Δψ?0}$. However, phlorizin contrary to d-glucose, fulfills all criteria of a non-translocated ligand (i.e., of a fully competitive inhibitor) of the Na⁺,d-glucose cotransporter. (2) The stoicheiometry of Na⁺/phlorizin binding is 1, as shown by a Hill coefficient of approx. 1 in the Na_out⁺-dependence of phlorizin binding. (3) The preferred order of binding at $\text{Δψ?0}$ is Na⁺ first, phlorizin second (4) The velocity of association of phlorizin to the cotransporter, but not the velocity of its dissociation therefrom, responds to Δψ. These observations while agreeing with the effect of $\text{Δψ?0}$ on the $\text{K}{}_{\mathrm{<mtext>d</mtext>}}$ of phlorizin binding in the steady-state time range, also confirm that the mobile part of the cotransporter bears a negative charge of 1. (5) A model is proposed describing the Na⁺,Δψ-dependent interaction of phlorizin with the cotransporter and agreeing with a more general model of Na⁺,d-glucose cotransport. (6) The $\text{k}{}_{\mathrm{<mtext>on</mtext>}}$, $\text{k}{}_{\mathrm{<mtext>off</mtext>}}$ and $\text{K}{}_{\mathrm{<mtext>d</mtext>}}$ constants of phlorizin interaction with the Na⁺,d-glucose cotransporter are smaller in the kidney than in the small-intestinal brush border membrane, which results in a number of quantitative differences in the overall behaviour of the two systems.     

Rat enterocyte Na+ transport in vitro action of parathyroid hormone and calcitonin

Parathyroid hormone (PTH) and calcitonin exert well known effects on the renal tubule which are thought to involve specific hormone receptors and adenyl cyclase. In the intestine, it is not clear whether the action of PTH and calcitonin is only indirect or also direct, and their mechanisms of action are much less well established. In the present study, possibly direct effects of PTH and calcitonin on Na⁺ transport in isolated intestinal epithelial cells of rats were investigated. In the presence of bovine PTH (1.2 I.U./ml) in the incubation medium, the Na⁺ efflux rate constant (${}^{\mathrm{o}}\text{K}{}_{\mathrm{Na}}$) of isolated enterocytes was significantly reduced when compared to that in control experiments with the hormone vehicle only. The mean depression of ${}^{\mathrm{o}}\text{K}{}_{\mathrm{Na}}$ induced by bovine PTH was 26% as compared to the control (100%) and to that induced by ouabain (4.0mM) which was 44%. No depressant effect of bovine PTH on ${}^{\mathrm{o}}\text{K}{}_{\mathrm{Na}}$ was observed when the isolated enterocytes were incubated with ouabain (4.0 mM). Thus, bovine PTH appeared to inhibit the ouabain-sensitive Na⁺ pump. When incubating the isolated epithelial cells in an EGTA-containing Ca²⁺-free medium, bovine PTH lost its capacity to inhibit (${}^{\mathrm{o}}\text{K}{}_{\mathrm{Na}}$). Thus, the presence of extracellular Ca²⁺ appeared necessary for the inhibitory effect of bovine PTH. In contrast to its effect on ${}^{\mathrm{o}}\text{K}{}_{\mathrm{Na}}$, bovine PTH induced no change in net Na⁺ uptake by isolated enterocytes. Moreover, no significant effect on enterocyte Na⁺ transport could be demostrated for salmon or porcine calcitonin at two different concentrations in the incubation medium. Neither bovine PTH nor salmon calcitonin induced significant changes in enterocyte cyclic AMP or cyclic GMP concentrations. It was concluded that bovine PTH, but not calcitonin, exerted a direct inhibitory effect on the ouabain-sensitive ${}^{\mathrm{o}}\text{K}{}_{\mathrm{Na}}$ of isolated rat enterocytes. The effect of bovine PTH occured without measurable activation of the cyclic nucleotide system but needed the presence of Ca²⁺ in the incubation medium to be operative.     

Active K+ transport in Mycoplasma mycoides var. Capri. Net and unidirectional K+ movements

Analysis of the cation composition of growing Mycoplasma mycoides var. Capri indicates that these organisms have a high intracellular K⁺ concentration ($\text{K}{}_{\mathrm{<mtext>i</mtext>}}\text{: 200–300}\text{mM}$) which greatly exceeds that of the growth medium, and a low Na⁺ concentration ($\text{Na}{}_{\mathrm{<mtext>i</mtext>}}{}^{\mathrm{+}}\text{: 20}\text{mM}$). Unlike $\text{Na}{}_{\mathrm{<mtext>i</mtext>}}{}^{\mathrm{+}}\text{, K}{}_{\mathrm{<mtext>i</mtext>}}{}^{\mathrm{+}}$ varies with cell aging.The K⁺ transport properties studied in washed organisms resuspended in buffered saline solution show that cells maintain a steady and large K⁺ concentration gradient across their membrane at the expense of metabolic energy mainly derived from glycolysis. In starved cells, $\text{K}{}_{\mathrm{<mtext>i</mtext>}}{}^{\mathrm{+}}$ decreases and is partially compensated by a gain in Na⁺. This substitution completely reverses when metabolic substrate is added (K⁺ reaccumulation process). Kinetic analysis of K⁺ movement in cells with steady K⁺ level shows that most of K⁺ influx is mediated by an autologous K⁺-K⁺ exchange mechanism. On the other hand, during K⁺ reaccumulation by K⁺-depleted cells, a different mechanism (a K⁺ uptake mechanism) with higher transport capacity and affinity drives the net K⁺ influx. Both mechanisms are energy-dependent.Ouabain and anoxia have no effect on K⁺ transport mechanisms; in contrast, both processes are completely blocked by dicyclohexylcarbodiimide, an inhibitor of the Mg²⁺-dependent ATPase activity.     

Animal variation in alanine uptake by rabbit ileal mucosa

Alanine uptake by rabbit ileal mucosa has been measured in the presence and absence of Na⁺ to establish the characteristics of biological variation. Common $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ values, calculated for two systems of alanine entry, were used for estimation of two J_max values for individual rabbits. The distribution of and within the population was normal and there was minimal interaction between these two parameters, judged by a cross-correlation analysis. Ways of processing data to account for this type of animal variation are discussed.     

Ouabain receptor interactions in (Na+ + K+)-ATPase preparations. II. Effect of cations and nucleotides on rate constants and dissociation constants

The action of ATP and its analogs as well as the effects of alkali ions were studied in their action on the ouabain receptor. One single ouabain receptor with a dissociation constant ($\text{K}{}_{\mathrm{<mtext>D</mtext>}}$) of 13 nM was found in the presence of ($\text{Mg}{}^{\mathrm{2+}}\text{+ P}{}_{\mathrm{i}}$) and ($\text{Na}{}^{\mathrm{+}}\text{+ Mg}{}^{\mathrm{2+}}\text{+ ATP}$). pH changes below pH 7.4 did not affect the ouabain receptor. Ouabain binding required Mg²⁺, where a curved line in the Scatchard plot appeared. The affinity of the receptor for ouabain was decreased by K⁺ and its congeners, by Na⁺ in the presence of ($\text{Mg}{}^{\mathrm{2+}}\text{+ P}{}_{\mathrm{i}}$), and by ATP analogs (ADP-C-P, ATP-OCH₃). Ca²⁺ antagonized the action of K⁺ on ouabain binding. It was concluded that the ouabain receptor exists in a low affinity (R_α) and a high affinity conformational state (R_β). The equilibrium between both states is influenced by ligands of $\text{(Na}{}^{\mathrm{+}}\text{+ K}{}^{\mathrm{+}}\text{)-ATPase}$. With 3 mM Mg²⁺ a mixture between both conformational states is assumed to exist (curved line in the Scatchard plot).     

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.     

A chloride requirement for Na+-dependent amino-acid transport by brush border membrane vesicles isolated from the intestine of a mediterranean teleost (Boops salpa)

The uptake of d-glucose, 2-aminoisobutyric acid and glycine was studied with intestinal brush border membrane vesicles of a marine herbivorous fish: Boops salpa. The uptake of these three substances is stimulated by an Na⁺ electrochemical gradient ($\text{C}{}_{\mathrm{<mtext>out</mtext>}}\text{C}{}_{\mathrm{<mtext>in</mtext>}}$). For glucose, an increase of the electrical membrane potential generated by a concentration gradient of the liposoluble anion, SCN^?, increases the Na⁺-dependent transport. This responsiveness to the membrane potential was confirmed by valinomycin. Differently from glucose, uptake of glycine and 2-aminoisobutyric acid requires, besides the Na⁺ gradient, the presence of Cl^? on the external side of the vesicles. In the absence of Cl^?, amino acid uptake is not stimulated by the Na⁺ gradient and is not influenced by an electrical membrane potential generated by SCN^? gradient ($\text{C}{}_{\mathrm{<mtext>out</mtext>}}\text{>C}{}_{\mathrm{<mtext>in</mtext>}}$) or by a K⁺ diffusion potential ($\text{C}{}_{\mathrm{<mtext>in</mtext>}}\text{>C}{}_{\mathrm{<mtext>out</mtext>}}$). This Cl^? requirement differs from the Na⁺ requirement, since a Cl^? gradient ($\text{C}{}_{\mathrm{<mtext>out</mtext>}}\text{>C}{}_{\mathrm{<mtext>in</mtext>}}$) does not result in an accumulation of glycine or 2-aminoisobutyric acid similar to that produced by an Na⁺ gradient.     

Double dependence of organic acid active transport in proximal tubules of surviving frog kidney on sodium ions I. Influence of sodium ions in bath medium on the uptake and run out of fluorescein and uranin

With the aid of direct microfluorimetric determination of marker organic anions (fluorescein and uranin) accumulated in the proximal tubules the influence of Na⁺ in the bath medium on the active transport of these anions was studied. Kinetic analysis of the rate dependence of organic acid active transport into tubules on their concentration in the bath medium with a constant Na⁺ concentration permitted to define values of apparent $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ and $\text{V}$ for uranin and fluorescein transport in the medium with different Na⁺ content. It was shown that a decrease of Na⁺ concentration in the medium increases $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ and lowers the $\text{V/K}{}_{\mathrm{<mtext>m</mtext>}}$ ratio with uncharged $\text{V}$. By varying the Na⁺ concentration in the medium with a constant concentration of the marker anion the and values for fluorescein and uranin transport were determined. A value for fluorescein in twice as much that for uranin. The $\text{1/K}{}_{\mathrm{<mtext>m</mtext>}}$ value for uranin transport is a linear function of Na⁺ concentration, while for fluorescein transport it is a quadratic one. Therefore it is concluded that two Na⁺ from the medium participate in active transfer of one fluorescein anion whereas only one Na⁺ from the medium is required for active transfer of one uranin anion. The run out of fluorescein from tubules preloaded with this acid is sharply reinforced by the Na⁺ omission from the medium. Thus, active transport of organic acids in proximal tubules of frog kidney is Na⁺-dependent, and Na⁺ from the medium is likely to participate directly in formation of a transport complex. When Na⁺ is absent in the medium a carrier fulfils a facilitated diffusion only.     

Structural study of the solutions of acidic polysaccharides. I. Study of the solutions of acidic polysaccharides by measuring the activity coefficients of counterions

The activity coefficient of sodium ions in the presence of acidic polysaccharides (alginates, pectins and κ-carrageenan) has been measured potentiometrically. The activity determined in limit-dilute solutions normally exceeded the values calculated from the Manning theory. The difference (ΔγNa+) was regarded as a measure of the chain flexibility. The change in ΔγNa+ when a polysaccharide is transferred from water to 8 m urea solution gave information about the contribution of hydrogen bonds to the stabilisation of the polysaccharide conformation in aqueous solutions. The function n is independent of polymer concentration at high concentration. where γNa+exp is the experimentally determined value of the activity coefficient of the counterions and γNa+NaCl is the activity coefficient of sodium ions in a NaCl solution of the same equivalent concentration as the polymer solution.This suggests that the polysaccharide solution has a microheterogeneous structure. The results of the viscosity measurements suggest that there is agreement between equilibrium thermodynamic and rheological evaluation criteria for the structure of polymer solutions.     

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.     

Flow analysis in a biological system adopting the buffer capacitor concept.

The flow measurement of each component in each compartment is important in works on transport phenomena in a biological system. The method of flow measurement was studied adopting the capacitor concept derived from network thermodynamics.A biologically active component i in a compartment is defined as follows,

$\text{n}{}_{\mathrm{i}}\text{=n}{}_1\text{+n}{}_2\text{=c}{}_1\text{V+c}{}_2\text{V}$

where the total quantity ni consists of a measurable form n_i (free form, conc. c₁) and concealed form n₂ (conc, c₂). Capacitor for the species i of a compartment is defined as follows,

$\text{C=}\text{d}\text{n}{}_{\mathrm{i}}\text{d}\text{μ}{}_{\mathrm{i}}\text{=}\text{1+}\text{c}{}_2\text{c}{}_1\text{c}{}_1\text{dV}\text{dμ}{}_{\mathrm{i}}\text{+}\text{1+}\text{dc}{}_2\text{dc}{}_1\text{v}\text{dc}{}_1\text{dμ}{}_{\mathrm{i}}$

,

$\text{=Ac}{}_1\text{dV}\text{dμ}{}_{\mathrm{i}}\text{+BV}\text{d}\text{c}{}_1\text{d}\text{t}$

Thus flow of each component is expressed as,

$\text{J}{}_{\mathrm{i}}\text{=}\text{d}\text{n}{}_{\mathrm{i}}\text{d}{}_{\mathrm{i}}\text{=}\text{d}\text{n}{}_{\mathrm{i}}\text{dμ}{}_{\mathrm{i}}\text{dμ}\text{n}{}_{\mathrm{i}}\text{dt}\text{=C}\text{d}\text{μ}{}_{\mathrm{i}}\text{dt}$

,

$\text{=Ac}{}_1\text{d}\text{V}\text{dt}\text{+BV}\text{d}\text{c}{}_1\text{dt}$

Method of determination of capacitor coefficients A and B by titration experiment was also considered. For an experimental case, the capacitance for H⁺ of blood compartment was determined. The relationship between the capacitor concept and the buffer value of Van Slyke was discussed.     

The effects of vanadate on calcium transport in dialyzed squid axons Sidedness of vanadate-cation interactions

(1) Vanadate (VO₃^?) fully inhibits the ATP-dependent uncoupled Ca efflux (Ca pump) in dialyzed squid axons. (2) Vanadate inhibits with high affinity. The mean apparent affinity ($\text{K}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}$) obtained was 7 μM. (3) Inhibition by vanadate is dependent on Ca_o. External Ca lead to a release of the inhibitory effect. ($\text{K}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{≈ 3}\text{mM}$). This antagonic effect can be reverted by increasing the vanadate concentration. Internal K⁺ increases the affinity of the intracellular vanadate binding site. External K⁺ has no effect on the inhibition. (4) Vanadate has no effect on the Na_o-dependent Ca efflux component (forward Na-Ca exchange) in the absence of ATP. In axons containing ATP vanadate modified this component.