Carrier-mediated transport of metabolites in purified bean mitochondria

1. The mechanism of transport of Krebs cycle intermediates, phosphateand sulfurcontaining compounds across the membrane of purifiedbean mitochondria was investigated by directly measuring dieexchange between intramitochondrial labelled substrates andexternal anions and by testing die inhibitor sensitivity ofdiese transport processes.
2. The exchange between intramitochondrialphosphate and externalphosphate or sulfite is insensitive toN-ediylmaleimide or butylmalonatewhen either is added alone,but is completely inhibited by N-ethylmaleimideplus butylmalonateor by mersalyl. Internal phosphate is exchangedwith malate,succinate, oxaloacetate, sulfate and thiosulfate;these reactionsare inhibited by butylmalonate but not affectedby N-ethylmaleimide.
3. Internal sulfate is exchanged with malate, malonate, succinate,phosphate and sulfite in a butylmalonate- and mersalyl-sensitivereaction. Also the exchanges of malonate with phosphate, sulfateand sulfite are inhibited by butylmalonate and mersalyl. Onthe other hand, the exchange between intra- and extramitochondrialmalonate is completely inhibited only by the combination ofbutylmalonate and 1,2,3-benzenetricarboxylate.
4. Citrate isexchanged with some di- and tricarboxylates and phosphoenolpyruvate(but not with phosphate, sulfate, oxoglutarate, trans-aconitateand benzenetricarboxylates). These exchanges are inhibited by1,2,3-benzenetricarboxylate, but not by 1,2,4-benzenetricarboxylateor 1,3,5-pentanetricarboxylate.
5. Oxoglutarate is exchangedwith succinate, malate, malonate andoxaloacetate (but not withphosphate, citrate or phosphoenolpyruvate)in a mersalyl-insensitive,butylmalonate- and phenylsuccinate-sensitivereaction.
6. Weconcluded that bean mitochondria contain the following transportsystems: a phosphate carrier inhibited by N-ethylmaleimide ormersalyl, a dicarboxylate carrier inhibited by butylmalonateor mersalyl, a citrate carrier inhibited by 1,2,3-benzenetricarboxylateand an oxoglutarate carrier inhibited by phenylsuccinate orbutylmalonate but insensitive to mersalyl.

(Received June 23, 1976; )     

Ligand-dependent tryptic inactivation of the ouabain sensitivity of ADP-ATP exchange catalyzed by canine renal Na+, K+-ATPase.

Phosphate transporter of bovine heart mitochondria was purified by solubilization of submitochondrial particles with octylglucoside and fractionation of the extract with ammonium sulfate. After reconstitution into liposomes the purified protein catalyzed phosphate transport which was sensitive to mersalyl and other SH reagents. Transport measured either as $\text{P}{}_{\mathrm{i}}\text{OH}$ or $\text{P}{}_{\mathrm{i}}\text{P}{}_{\mathrm{i}}$ exchange was proportional to protein concentration and time. The $\text{P}{}_{\mathrm{i}}\text{OH}$ but not the $\text{P}{}_{\mathrm{i}}\text{P}{}_{\mathrm{i}}$ exchange was stimulated several fold by valinomycin plus nigericin in the presence of K⁺. The reconstituted system provides a suitable assay during purification of the mitochondrial phosphate transporter.     

The transport of sulphate and sulphite in rat liver mitochondria

1. The mechanism of sulphite and sulphate permeation into rat liver mitochondria was investigated. 2. Extramitochondrial sulphite and sulphate elicit efflux of intramitochondrial phosphate, malate, succinate and malonate. The sulphate-dependent effluxes and the sulphite-dependent efflux of dicarboxylate anions are inhibited by butylmalonate, phenylsuccinate and mersalyl. Inhibition of the phosphate efflux produced by sulphite is caused by mersalyl alone and by N-ethylmaleimide and butylmalonate when present together. 3. External sulphite and sulphate cause efflux of intramitochondrial sulphate, and this is inhibited by butylmalonate, phenylsuccinate and mersalyl. 4. External sulphite and sulphate do not cause efflux of oxoglutarate or citrate. 5. Mitochondria swell when suspended in an iso-osmotic solution of ammonium sulphite; this is not inhibited by N-ethylmaleimide or mersalyl. 6. Low concentrations of sulphite, but not sulphate, produce mitochondrial swelling in iso-osmotic solutions of ammonium malate, succinate, malonate, sulphate, or phosphate in the presence of N-ethylmaleimide. 7. It is concluded that both sulphite and sulphate may be transported by the dicarboxylate carrier of rat liver mitochondria and also that sulphite may permeate by an additional mechanism; the latter may involve the permeation of sulphurous acid or SO(2) or an exchange of the sulphite anion for hydroxyl ion(s).     

The covariance of relatives derived from a random mating population.

Attention is drawn to errors common in the derivation of forms for the genotypic covariance of noninbred relatives from a Hardy-Weinberg population of diploids. A synthesis of Fisher's least-squares method of partitioning the genotypic variance and Malécot's probability method of expressing kinship, yields a general form. For one locus, the form is $\text{(P}{}_{\mathrm{ss}}\text{+ P}{}_{\mathrm{sd}}\text{+ P}{}_{\mathrm{ds}}\text{+ P}{}_{\mathrm{dd}}\text{)}\text{1}\text{2}\text{σ}{}_{\mathrm{a}}{}^2\text{+ (P}{}_{\mathrm{ss}}\text{P}{}_{\mathrm{dd}}\text{+ P}{}_{\mathrm{sd}}\text{P}{}_{\mathrm{ds}}\text{) σa}{}_{\mathrm{d}}{}^2$, where σ_a² is the additive genetic variance, α_d² is the variance of dominance deviations, p_ij is the probability that parental gamete i is identical by descent to parental gamete j, i = s, d indexes the parents of one relative, and j = s, d indexes those of the other. The form provides a framework for obtaining the covariance of relatives from an equilibrium population with linkage.     

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).     

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).     

Mechanism of bovine liver glutamate dehydrogenase self-assembly: II. Simulation of relaxation spectra for an open linear polymerization proceeding via a sequential addition of monomer units.

The simple sequential model P₁ + Pi agP_{1 + i}, i = 1, 2, …, ∞$\text{K}{}_1\text{= K}{}_2\text{= …. = K}{}_{\mathrm{<mtext>i</mtext>}}\text{=}\text{P}{}_1\text{P}\text{̄}{}_{\mathrm{<mtext>i</mtext>}}\text{P}\text{̄}{}_{\mathrm{<mtext>1+</mtext><mtext>i</mtext>}}$, which quantitatively rationalizes liver glutamate dehydrogenase molecular weight data (Reisler &; Eisenberg, 1971; Sund et al., 1972; Malencik &; Anderson, 1972; Chun et ed., 1972) is subjected to a rigorous kinetic analysis. With the reasonable assumption that all elementary steps are characterized by identical rate constants, the relaxation times and corresponding scattered light relaxation amplitudes are computed for the above scheme as a function of concentration, and presented in a general form applicable to an arbitrary open polymerization. When related to the glutamate dehydrogenase system, the kinetic analysis predicts that first-order plots of changes in scattered light intensity should be non-linear above about 1 mg/ml. In general, the half-life of the overall decay should increase with total solute concentration. These predictions are incompatible with the highly degenerate nature of the observed relaxation spectrum and the monotonic decrease of the experimental relaxation time with concentration (Fisher &; Bard, 1969; Kempfle &; Winkler, 1973; Thusius et al., 1975). The discrepency between the predicted and observed kinetic behaviour leads to the exclusion of the sequential model and strongly suggests that monomer does not play a critical role in the spontaneous self-assembly. Rather, all kinetic and equilibrium results available to date are consistent with condensations occurring between all species without discrimination (Thusius et al., 1975). The glutamate dehydrogenase system apparently represents the extreme case of a linear aggregation proceeding via polymers possessing identical and independent association sites.     

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.     

Inhibition of the (Na+ + K+)-dependent ATPase by inorganic phosphate

Inhibition of the $\text{(}\text{Na}{}^{\mathrm{+}}\text{+ K}{}^{\mathrm{+}}\text{)-dependent}$ ATPase by inorganic phosphate, P_i, was examined in terms of product inhibition of the various activities catalyzed by an enzyme preparation from rat brain, and considered in terms of the specific transport processes of the membrane Na⁺,K⁺-pump that these activities reflect. The K⁺-dependent phosphatase activity of the enzyme was most sensitive to P_i, and inhibition was competitive toward the substrate, nitrophenyl phosphate, as would be expected if P_i were released from the same enzyme form that bound substrate. However, this enzymatic activity does not seem to represent a transport process, and thus a cyclical discharge of K⁺ may not be involved. The Na⁺-dependent exchange activity was unaffected by P_i, in accord with the absence of P_i release in the reaction sequence. For the corresponding Na⁺/Na⁺ exchange function of the pump, which reportedly does not involve ATP hydrolysis either, prior release of P_i obviously cannot be required for Na⁺ discharge. With the Na⁺-dependent ATPase activity, measured using micromolar concentrations of ATP, P_i inhibited, but far less than with the phosphatase activity, and inhibition was not competitive toward ATP. Moreover, inhibition decreased as the Na⁺ concentration was raised from 10 to 100 mM. This elevated concentration of Na⁺ also led to substrate inhibition. For this ATPase activity, and the corresponding transport process, uncoupled Na⁺ efflux, the findings suggest that Na⁺ discharge follows P_i release, in contrast to Na⁺/Na⁺ exchange. The $\text{(}\text{Na}{}^{\mathrm{+}}\text{+ K}{}^{\mathrm{+}}\text{)-dependent}$ ATPase activity, measured with millimolar concentrations of ATP and reflecting the coupled Na⁺,K⁺-transport function, was similarly sensitive to P_i, and again inhibition was not competitive toward ATP. However, in this case inhibition did not increase as the Na⁺ concentration was lowered. For this activity, and the associated transport process, the site of Na⁺ discharge in the overall reaction sequence remains unresolved.     

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.     

On equivalent forms of Whittaker's similarity index

For two N-species assemblages A, B with specific proportionate abundances of the ith species a_i, b_l respectively, we consider the equality

$\text{∑}\text{t=1}\text{N}\text{c}{}_{\mathrm{i}}\text{= 1?}\text{1}\text{2}\text{∑}\text{t=1}\text{N}\text{|a}{}_{\mathrm{i}}\text{?b}{}_{\mathrm{i}}\text{|, c}{}_{\mathrm{i}}\text{=}\text{a}{}_{\mathrm{i}}\text{a}{}_{\mathrm{i}}\text{? b}{}_{\mathrm{i}}\text{b}{}_{\mathrm{i}}\text{a}{}_{\mathrm{i}}\text{> b}{}_{\mathrm{i}}\text{, 0?a,b,c?1}$

. The left-hand term is known as Sanders' minimum faunal abundance value, while the right side is referred to as Whittaker's similarity index. Both measures are commonly used in community studies. Equality between these two measures obtains only when proportionate abundances are utilized. We develop equivalent formulation which is valid for absolute abundance data, reduces to the Sanders-Whittaker equality when proportionate abundance data are employed, and is more sensitive to differences in species abundance distributions. Namely, we show that

$\text{2}\text{α+β}\text{∑}\text{t=1}\text{N}\text{c}{}_{\mathrm{i}}\text{= 1 ?}\text{1}\text{α+β}\text{∑}\text{t=1}\text{N}\text{|a}{}_{\mathrm{i}}\text{?b}{}_{\mathrm{i}}\text{|}$

, where

$\text{α =}\text{∑}\text{t=1}\text{N}\text{a}{}_{\mathrm{i}}\text{, β =}\text{∑}\text{t=1}\text{N}\text{b}{}_{\mathrm{i}}$

, and the a's, b's c's are as defined above.     

Dipole moments of random coil polypeptides

The Rotational Isomeric States model is applied to calculate dipole moments of polypeptides of the twenty natural α-amino acids in the random coil state. Dipole moments of each repeat unit (μ_i), are evaluated using a quantum mechanics procedure. Dipole moment ratios ($\text{D}{}_{\mathrm{x}}\text{=}\text{〈μ}{}^2\text{〉}\text{x}\text{μ}{}_{\mathrm{i}}{}^2\text{,}\text{x = number of repeat units}$) of homopolypeptides are calculated and extrapolated to x →?. With a few exceptions, D_? = 0.36 ± 0.1. Ten actual proteins and three enzymes are also studied; their dipole ratios (D_x′ =〈μ〉/x) range from 7.34 to 10.57 in 10^?59 C² m² (6.6–9.5 D²). Diffferences in the values of D_x′ are due mainly to the different contributions, μ_i, of the amino acid residues contained in each polymer, whereas the sequence of amino acids has a very minor effect.     

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.     

Tests of the carrier model for ion transport by nonactin and trinactin

The fluxes of K⁺ and NH₄⁺ carried by nonactin and trinactin across thin lipid membranes have been measured as functions of ion activity, electric potential and time. In agreement with the predictions of a version of the carrier model in common use, the shape of the initial current-voltage relation is independent of the activity of the electrolyte, $\text{a}{}_{\mathrm{<mtext>i</mtext>}}$ while the ratio of the initial conductance, $\text{G}{}_0$, to the steady-state conductance, $\text{G}{}_{\mathrm{\infty }}$, increases according to $\text{G}{}_0\text{/G}{}_{\mathrm{\infty }}\text{=}\text{const}{}_1\text{+ const}{}_2\text{× a}{}_{\mathrm{<mtext>i</mtext>}}$. For trinactin the data presented allow the estimation of the rate constants of the carrier process (in the limit of zero potential) in a manner which does not assume any particular variation with potential for the constants. Using empirically determined functions of potential, a complete set of values is also available for nonactin. The curve fitting which is necessary is described in the following paper. The data presently available for valinomycin are sufficient neither to test the model nor to determine a complete set of constants.     

Heterozygote frequencies in small subpopulations.

The mean fixation index within subpopulations (F_IS) has been defined as $\text{F}\text{̄}{}_{\mathrm{IS}}\text{= ∑w}{}_{\mathrm{i}}\text{F}{}_{\mathrm{ISi}}\text{or as}\text{F}\text{̂}{}_{\mathrm{IS}}\text{=}\text{∑w}{}_{\mathrm{i}}\text{p}{}_{\mathrm{i}}\text{q}{}_{\mathrm{i}}\text{F}{}_{\mathrm{ISi}}\text{∑w}{}_{\mathrm{i}}\text{p}{}_{\mathrm{i}}\text{q}{}_{\mathrm{i}}$. The latter definition is preferred because it can be obtained from the two other fixation indices, F_ST and F_IT and because it is unaffected by the mean gene frequency. The expected frequency of heterozygotes in small subpopulations of dioecious organisms will exceed Hardy-Weinberg expectations and this can be measured by $\text{F}\text{̂}{}_{\mathrm{IS}}$. In an isolated subpopulation of constant variance effective size $\text{N,}\text{F}\text{̂}{}_{\mathrm{IS}}$ rapidly tends to $\text{1 − 4N}{}^2\text{(N − 1 + [N}{}^2\text{+ 1]}{}^{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{)}{}^2$. In the Island model of population structure, $\text{F}\text{̂}{}_{\mathrm{IS}}$ is approximately $\text{−(1 − m)}\text{N}\text{where}\text{m}$ is the immigration rate.When a sample is drawn from a natural population, the observed F_IS will depend upon the genetic structure of the population. The values of F_IS expected in three different types of population structure are discussed.     

Effect of metabolic acidosis on phosphate transport by the renal brush-border membrane

Metabolic acidosis produces a phosphaturia which is independent of parathyroid hormone or dietary phosphorus intake. To study the underlying mechanism, inorganic phosphate (P_i) and glucose transport were studied in brush-border membrane vesicles prepared from the renal cortex of parathyroidectomized rats gavaged for three days with either 7.5 ml of 1.6% NaCl (control) or 1.5% NH₄Cl (acidosis). At killing, blood pH and plasma bicarbonate were $\text{7.36 ± 0.01}$ and $\text{21.8 ± 0.8}\text{mequiv./l}$, respectively, in control and $\text{7.12 ± 0.03}$ ($\text{P < 0.01}$) and $\text{11.1 ± 1.2}$ ($\text{P < 0.01}$) in acidotic rats. Serum P_i was similar in both groups, while 24 h urine P_i excretion was higher in the acidotic group ($\text{P < 0.01}$). Peak sodium-dependent uptake of P_i, measured after 1.5 min of incubation, was higher in controls than acidotic rats ($\text{4442 ± 464}$ vs. $\text{2412 ± 259}\text{pmol/mg}$ protein, $\text{P < 0.01}$), whereas peak glucose uptake at 1.5 min was not significantly different between the groups. Equilibrium values for P_i and glucose uptake were similar in the two groups. $\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ for P_i uptake in the control and acidotic animals were not different, 0.036 and 0.040 mM, respectively. By contrast, $\text{V}{}_{\mathrm{<mtext>max</mtext>}}$ was higher in controls than in the acidotic group, 3.13 vs. 1.15 nmol/mg protein per 15 s. These results suggest that metabolic acidosis directly inhibits P_i uptake by the brush border of the proximal tubule by decreasing the availability of P_i carriers of the renal brush-border membrane.     

Effects of ethanol-derived acetaldehyde on the phosphorylation potential and on the intramitochondrial redox state in intact rat liver

The role of acetaldehyde (AcH) in the ethanol-induced shift toward reduction of the cytosolic and mitochondrial free NAD⁺/free NADH ratios and its effect on the phosphorylation potential was investigated in livers of fed, intact rats given ethanol (1 g/kg ip). Calcium cyanamide, an inhibitor of mitochondrial aldehyde dehydrogenase, was administered to block predominantly intramitochondrial NADH production from AcH oxidation. Compared with ethanol alone, cyanamide almost totally reversed the elevation of the β-OH-butyrate/acetoacetate ratio but only slightly reduced the lactate/ pyruvate ratio, which was calculated to be in near equilibrium with the hepatic ethanol/ AcH ratio after cyanamide. Ethanol or cyanamide alone had no effect on ATP, ADP, or P_i, but together they significantly decreased the $\text{ATP}\text{ADP}\text{· P}{}_{\mathrm{<mtext>i</mtext>}}$ ratio by increasing both ADP and P_i levels. No association between changes in the phosphorylation potential and the redox states was, however, observed. An ethanol-induced increase in AMP was abolished by cyanamide. The results demonstrate that the effect of ethanol on the mitochondrial redox state requires active AcH oxidation and suggest that moderate AcH accumulation likely to occur during alcohol-aversive drug treatment significantly lowers the cellular phosphorylation potential.     

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

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