Kinetic mechanism of chlorpromazine inhibition of erythrocyte 3-O-methylglucose transport

The kinetic mechanism of chlorpromazine inhibition of erythrocyte hexose transport was investigated using the non-metabolizable glucose analog $\text{3-O-}\text{methylglucose}$. It was found that chlorpromazine added to the external medium is a non-competitive inhibitor of both equilibrium exchange and net $\text{3-O-}\text{methylglucose}$ transport at pH 7.8, 15°C. The $\text{K}{}_{\mathrm{<mtext>i</mtext>}}$ for equilibrium exchange is $\text{76 ± 21 μM}$. When net efflux and equilibrium exchange were measured on the same population of cells the equilibrium exchange was 2.5-times the maximum net efflux. The percent reduction of $\text{3-O-}\text{methylglucose}$ flux by chlorpromazine is dependent upon chlorpromazine concentration and not $\text{3-O-}\text{methylglucose}$ concentration as expected for a non-competitive inhibitor. Equilibrium exchange and net efflux show the same extent of inhibition at each concentration of chlorpromazine evaluated. These results suggest that exchange and net efflux of $\text{3-O-}\text{methylglucose}$ in the human erythrocyte may share a common transport system.     

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.     

The effect of diamide and glutathione on the uptake of α-methyl-d-glucoside by slices of rat kidney cortex

The uptake of α-methyl-d-glucoside was stimulated in slices of rat kidney cortex by pretreatment with reduced glutathione. Diamide, an oxidizing agent with high specificity for GSH, caused an inhibition of α-methyl-d-glucoside uptake. These effects appeared to be related specifically to GSH, since dithiothreitol and mercaptoethanol did not increase α-methyl-d-glucoside uptake, and were not as effective as GSH in reversing the effects of diamide. GSH and diamide had no effect on the uptake of another sugar analog, $\text{3-O-}\text{methylglucose}$, which is not actively transported. Kinetic studies indicated that GSH increased the apparent $\text{V}$ without affecting $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$. The results are discussed in terms of the possible role of GSH in the process of sugar transport.     

The role of microfilaments and of microtubules in taurocholate uptake by isolated rat liver cells

The role of microfilaments and microtubules on bile salt transport was studied by investigating the influence of a microfilament and a microtubule inhibitor, cytochalasin B and colchicine, respectively, on taurocholate uptake by isolated hepatocytes in vitro. Hepatocytes were prepared by the enzyme perfusion method and [¹⁴C]taurocholate uptake velocity was determined by a filtration assay. Taurocholate uptake obeyed Michaelis-Menten kinetics, maximal uptake velocity and apparent half-saturation constants averaging $\text{0.87 ±}\text{SD}\text{0.05}\text{nmol}\text{· s}{}^{\mathrm{?1}}\text{· 10}{}^{\mathrm{?6}}\text{cells}$ and $\text{10.9 ± 1.8 μ}\text{M}$, respectively. Cytochalasin B ($\text{4.2–420 μ}\text{M}$) inhibited taurocholate uptake in a competitive fashion; $\text{K}{}_{\mathrm{<mtext>i</mtext>}}$ being $\text{33 ± 7 μ}\text{M}$. At concentrations above 100 μM the compound decreased ³⁶Cl membrane potential and intracellular K⁺ concentration. Other parameters of cell viability were not affected by cytochalasin B. Colchicine (0.1–1.0 mM), by contrast, inhibited taurocholate uptake non-competitively, $\text{K}{}_{\mathrm{<mtext>i</mtext>}}$ being $\text{0.47 ± 0.07}\text{mM}$. The inhibition brought about by colchicine was considerably smaller than that induced by cytochalasin B. None of the parameters of cell viability tested was affected by colchicine. These results suggest that microfilaments may be involved in the carrier-mediated hepatocellular transport of bile salts. This could, at least in part, account for cytochalasin B-induced cholestasis. The contribution of the microtubular system, if any, is less important quantitatively. The mechanisms whereby these two components of the cytoskeleton partake in bile salt transport remain to be elucidated.     

The characterization of energized and partially de-energized (respiration-independent) β-galactoside transport into escherichia coli

Unidirectional fluxes of [¹⁴C]lactose by whole cells of Escherichia coli under highly energized and partially de-energized (in the presence of CN^?) conditions are analyzed kinetically.When the cells are energized, the value for $\text{V}$ influx is $\text{0.45 ± 0.01}\text{mM}$ internal concentration increment/s and $\text{K}{}_{\mathrm{t}}$ is $\text{0.26 ± 0.03}\text{mM}$. At an external concentration of 0.61 mM the steady-state internal concentration is 0.25 M, reached after about 1h. The maximum steady-state concentration ratio is $\text{2 · 10}{}^3$.The efflux process under these conditions is non-saturable, being linearly dependent upon internal concentration over the range 25–250 mM with a first-order rate constant of $\text{8.8 ± 0.2 · 10}{}^{\mathrm{?4}}\text{s}{}^{\mathrm{?1}}$.The transport in the presence of CN^? is active, with a maximum concentration ratio (internal concentration/external concentration) of 104, and the uptake is mimicked by anoxia (< 70 ppm O₂).The effects of CN^? are to lower the $\text{V}$ for influx and to change the efflux from a non-saturable to a saturable process with a value for $\text{K}{}_{\mathrm{t}}$ (60 mM) intermediate between that for energized efflux ($\text{> 250}\text{mM}$) and influxe (0.3–0.6 mM), the latter value not changing appreciably. Partial de-energization thus affects both the influx and efflux processes.     

Electrokinetic properties of (Na+, K+)-ATPase vesicles as studied by laser doppler spectroscopy

The technique of laser Doppler electrophoresis was applied for the study of the surface charge properties of (Na⁺,⁺)-ATPase containing microsomal vesicles derived from guinea-pig kidney. The influence of pH, the screening and binding of uni- and divalent cations and the binding of ATP show: (1) one net negative charge per protein unit with a $\text{p}\text{K = 3.9}$; (2) deviation from the Debye relation between surface potential and ionic strength for univalent cations, with no difference in the effect of Na⁺ and K⁺; (3) Mg²⁺ binds with an association constant of $\text{K}{}_{\mathrm{<mtext>a</mtext>}}\text{= 1.1 · 10}{}^2\text{M}{}^{\mathrm{?1}}$ while ATP binds with an apparent $\text{K}{}_{\mathrm{<mtext>a</mtext>}}\text{= 1.1 · 10}{}^4\text{M}{}^{\mathrm{?2}}$ for 1 mM Nacl, 0.2 mM KCI, 0.1 mM MgCl₂, 0.1 mM Tris-HCI (pH 7.3). The binding is weaker at higher Mg²⁺ concentrations. There is no ATP binding in the absence of Mg²⁺. In addition, the average vesicle size derived from the linewidth of the quasi-elastic light scattering spectrum is $\text{203.7 ± 15.2}\text{nm}$. In the presence of ATP a reduction in size is observed.     

Kinetics of phospholipid exchange between bilayer membranes

In an accompanying publication by Duckwitz-Peterlein, Eilenberger and Overath ((1977) Biochim. Biophys. Acta 469, 311–325) it is shown that the exchange of lipid molecules between negatively charged vesicles consisting of total phospholipid extracts from Escherichia coli occurs by the transfer of single lipid monomers or small micelles through the water. Here a kinetic interpretation is presented in terms of a rate constant, $\text{k}{}_{\mathrm{?}}$, for the escape of lipid molecules from the vesicle bilayer into the water. The evaluated rate constants are $\text{k}{}_{\mathrm{?}}{}^{\mathrm{<mtext>P</mtext>}}\text{= (0.86 ± 0.05) · 10}{}^{\mathrm{?5}}\text{s}{}^{\mathrm{?1}}$ and $\text{k}{}_{\mathrm{?}}{}^{\mathrm{<mtext>E</mtext>}}\text{= (1.09 ± 0.13) · 10}{}^{\mathrm{?6}}\text{s}{}^{\mathrm{?1}}$ for phospholipid molecules with $\text{trans-}\text{Δ}{}^9\text{-hexadecenoate}$ and $\text{trans-}\text{Δ}{}^9\text{-octadecenoate}$, respectively, as the predominant acyl chain component. The rate constants are discussed in terms of the acyl chain and polar head group composition of the lipids.     

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.     

New experimental approach to the estimation of rate of electron transfer from the primary to secondary acceptors in the photosynthetic electron transport chain of purple bacteria

A method for calculating the rate constant ($\text{K}{}_{\mathrm{<mtext>A</mtext><mtext>1</mtext><mtext>A</mtext><mtext>2</mtext>}}$) for the oxidation of the primary electron acceptor (A₁) by the secondary one (A₂) in the photosynthetic electron transport chain of purple bacteria is proposed.The method is based on the analysis of the dark recovery kinetics of reaction centre bacteriochlorophyll (P) following its oxidation by a short single laser pulse at a high oxidation-reduction potential of the medium. It is shown that in Ectothiorhodospira shaposhnikovii there is little difference in the value of $\text{K}{}_{\mathrm{<mtext>A</mtext><mtext>1</mtext><mtext>A</mtext><mtext>2</mtext>}}$ obtained by this method from that measured by the method of Parson ((1969) Biochim. Biophys. Acta 189, 384–396), namely: $\text{(4.5±1.4) · 10}{}^3\text{s}{}^{\mathrm{?1}}$ and $\text{(6.9±1.2) · 10}{}^3\text{s}{}^{\mathrm{?1}}$, respectively.The proposed method has also been used for the estimation of the $\text{K}{}_{\mathrm{<mtext>A</mtext><mtext>1</mtext><mtext>A</mtext><mtext>2</mtext>}}$ value in chromatophores of Rhodospirillum rubrum deprived of constitutive electron donors which are capable of reducing P⁺ at a rate exceeding this for the transfer of electron from A₁ to A₂. The method of Parson cannot be used in this case. The value of $\text{K}{}_{\mathrm{<mtext>A</mtext><mtext>1</mtext><mtext>A</mtext><mtext>2</mtext>}}$ has been found to be $\text{(2.7±0.8) · 10}{}^3\text{s}{}^{\mathrm{?1}}$.The activation energies for the A₁ to A₂ electron transfer have also been determined. They are 12.4 kcal/mol and 9.9 kcal/mol for E. shaposhnikovii and R. rubrum, respectively.     

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).     

Characterization of the (Na+ + K+)-ATPase in a membranous preparation from the optic ganglion of the squid (Loligo pealei)

(1) A membrane fraction enriched in $\text{(Na}{}^{\mathrm{+}}\text{+ K}{}^{\mathrm{+}}\text{)-ATPase}$ (EC 3.6.1.3) was obtained from optic ganglia of the squid (Loligo pealei) by density gradient fractionation of membranes followed by treatment with either SDS or Brij-58. The resulting membrane had an $\text{(Na}{}^{\mathrm{+}}\text{+ K}{}^{\mathrm{+}}\text{)-ATPase}$ specific activity of approx. 2 units/mg and was $\text{>95\%}$ ouabain-sensitive. (2) The $\text{(Na}{}^{\mathrm{+}}\text{+ K}{}^{\mathrm{+}}\text{)-ATPase}$ had a $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ for ATP of $\text{0.42 ± 0.04}\text{mM}$ and a pH optimum of 7.0. It was inhibited by ouabain with a $\text{K}{}_{\mathrm{<mtext>i</mtext>}}$ of $\text{0.32 ± 0.04 μ}\text{M}$. (3) Optimum monovalent cation concentrations were: 240 mM NaCl, 60 mM KCl, tested with $\text{NaCl + KCl}\text{= 300}\text{mM}$. (4) The Mg²⁺ dependence of hydrolysis varied with the absolute ATP concentration. At 3 mM ATP, the$\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ for Mg²⁺ was $\text{0.86 ± 0.10}\text{mM}$, and at 6 mM ATP, the $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ was $\text{1.86 ± 0.44}\text{mM}$. High levels of Mg²⁺ caused inhibition of hydrolysis. (5) The interactions of Na⁺ and K⁺ were examined over a range of conditions. K⁺ levels caused modulations in the Na⁺ dependence in the range of 1–150 mM. (6) The $\text{(Na}{}^{\mathrm{+}}\text{+ K}{}^{\mathrm{+}}\text{)-ATPase}$ prepared from squid optic ganglion displays properties similar to those of the sodium pump in injected nerves.     

Cytochalasin B inhibition and temperature dependence of 3-O-methylglucose transport in fat cells

The transport of $\text{3-O-}\text{methylglucose}$ in white fat cells was measured under equilibrium exchange conditions at $\text{3-O-}\text{methylglucose}$ concentrations up to 50 mM with a previously described method (Vinten, J., Gliemann, J. and Østerlind, K. (1976) J. Biol. Chem. 251, 794–800). Under these conditions the main part of the transport was inhibitable by cytochalasin B. The inhibition was found to be of competitive type with an inhibition constant of about 2.5 · 10^?7 M, both in the absence and in the presence of insulin (1μM). The cytochalasin B-insensitive part of the $\text{3-O-}\text{methylglucose}$ permeability was about 2 · 10^?9 cm · s^?1, and was not affected by insulin. As calculated from the maximum transport capacity, the half saturation constant and the volume/ surface ratio, the maximum permeability of the fat cell membrane to $\text{3-O-}\text{methylglucose}$ at 37°C and in the presence of insulin was 4.3 · 10^?6 cm · s^?1. From the temperature dependence of the maximum transport capacity in the interval 18–37°C and in the presence of insulin, an Arrhenius activation energy of $\text{14.8 ± 0.44}\text{kcal/mol}$ was found. The corresponding value was $\text{13.9 ± 0.89}$ in the absence of insulin. The half saturating concentration of $\text{3-O-}\text{methylglucose}$ was about 6 mM in the temperature interval used, and it was not affected by insulin, although this hormone increased the maximum transport capacity about ten-fold to 1.7 mmol · s^?1 per 1 intracellular water at 37°C.     

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.     

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.     

Energetics of coupled Na+ and Cl− entry into epithelial cells of bullfrog small intestine

Na⁺, K⁺ and Cl^? concentrations ($\text{c}{}_{\mathrm{j}}{}^{\mathrm{<mtext>i</mtext>}}$) and activities ($\text{a}{}_{\mathrm{j}}{}^{\mathrm{<mtext>i</mtext>}}$), and mucosal membrane potentials ($\text{E}{}_{\mathrm{<mtext>m</mtext>}}$) were measured in epithelial cells of isolated bullfrog (Rana catesbeiana) small intestine. Segments of intestine were stripped of their external muscle layers, and bathed (at 25°C and pH 7.2) in oxygenated Ringer solutions containing 105 mM Na⁺ and Cl^? and 5.4 mM K⁺. Na⁺ and K⁺ concentrations were determined by atomic absorption spectrometry and Cl^? concentrations by conductometric titration following extraction of the dried tissue with 0.1 M HNO₃. ¹⁴C-labelled inulin was used to determine extracellular volume. $\text{E}{}_{\mathrm{<mtext>m</mtext>}}$ was measured with conventional open tip microelectrodes, $\text{a}{}_{\mathrm{<mtext>Cl</mtext>}}{}^{\mathrm{<mtext>i</mtext>}}$ with solid-state Cl^?-selective silver microelectrodes and $\text{a}{}_{\mathrm{<mtext>Na</mtext>}}{}^{\mathrm{<mtext>i</mtext>}}$ and $\text{a}{}_{\mathrm{<mtext>K</mtext>}}{}^{\mathrm{<mtext>i</mtext>}}$ with Na⁺- and K⁺-selective liquid ion-exchanger microelectrodes. The average $\text{E}{}_{\mathrm{<mtext>m</mtext>}}$ recorded was ?34 mV. $\text{c}{}_{\mathrm{<mtext>Na</mtext>}}{}^{\mathrm{<mtext>i</mtext>}}$, $\text{c}{}_{\mathrm{<mtext>K</mtext>}}{}^{\mathrm{<mtext>i</mtext>}}$ and $\text{c}{}_{\mathrm{<mtext>Cl</mtext>}}{}^{\mathrm{<mtext>i</mtext>}}$ were 51, 105 and 52 mM. The corresponding values for $\text{a}{}_{\mathrm{<mtext>Na</mtext>}}{}^{\mathrm{<mtext>i</mtext>}}$, $\text{a}{}_{\mathrm{<mtext>K</mtext>}}{}^{\mathrm{<mtext>i</mtext>}}$ and $\text{a}{}_{\mathrm{<mtext>Cl</mtext>}}{}^{\mathrm{<mtext>i</mtext>}}$ were 18, 80 and 33 mM. These results suggest that a large fraction of the cytoplasmic Na⁺ is ‘bound’ or sequestered in an osmotically inactive form, that all, or virtually all the cytoplasmic K⁺ behaves as if in free solution, and that there is probably some binding of cytoplasmic Cl^?. $\text{a}{}_{\mathrm{<mtext>Cl</mtext>}}{}^{\mathrm{<mtext>i</mtext>}}$ significantly exceeds the level corresponding to electrochemical equilibrium across the mucosal and baso-lateral cell membranes. Earlier studies showed that coupled mucosal entry of Na⁺ and Cl^? is implicated in intracellular Cl^? accumulation in this tissue. This study permitted estimation of the steady-state transapical Na⁺ and Cl^? electrochemical potential differences (Δμ&#x0304;Na and Δμ&#x0304;Cl). Δμ&#x0304;Na (?7000 J · mol^?1; cell minus mucosal medium) was energetically more than sufficient to account for Δμ&#x0304;Cl (1000–2000 J · mol^?1).     

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

Edelstein's model

$\text{?E}\text{?τ}\text{=F(M, E)}$

,

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

,

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

,

$\text{E(s,0)=ψ(s)}$

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

Infinite cis influx of cyclic AMP into human erythrocyte ghosts

Infinite cis uptake of cyclic AMP into red blood cell ghosts has been measured. The $\text{K}{}_{\mathrm{<mtext>i</mtext><mtext>c</mtext>}}{}^{\mathrm{<mtext>oi</mtext>}}$ is calculated from two different integrated rate equations that are applicable when the substrate concentration is unsufficient to cause volume changes. Values of 0.69 mM and 0.66 mM are obtained for the infinite cis$\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ at 30°C using these procedures. These values are only slightly higher than that predicted from zero trans net flux experiments.Lowering the temperature reduces $\text{K}{}_{\mathrm{<mtext>i</mtext><mtext>c</mtext>}}{}^{\mathrm{<mtext>oi</mtext>}}$ from 0.69 mM at 30°C to 0.478 mM at 20°C, 0.108 mM at 10°C and 0.072 mM at 4°C ($\text{Q}{}_{10}\text{= 2.4}$). The $\text{Q}{}_{10}$ for activation of influx permeability of 10^?5 M cyclic AMP is 1.55.