A method to calculate binding equilibrium concentrations in the allosteric ternary complex model that supports ligand depletion

The allosteric ternary complex model is frequently used in pharmacology to represent the interaction of a receptor R with two ligands A and B. Certain well-known formulas are routinely used to calculate the fractions of the receptor bound at equilibrium with A only, B only, and both A and B. However, it is often omitted that these classical formulas presume that there is no ligand depletion, i.e. that the equilibrium concentrations [A] and [B] of the ligands are well approximated by their total concentrations [A]_T and [B]_T. We present a calculation method which is applicable without this or any restrictions. The equilibrium concentration [R] of the receptor is implicitly characterized by an equation which is solved with a very simple convergent numerical algorithm. The concentrations [A] and [B] are given by explicit formulas in terms of [R]. The required parameters are the equilibrium dissociation constants K_A and K_B, the cooperativity factor α, and the total concentrations [R]_T, [A]_T and [B]_T.     

Effects of potassium on the anion and cation contents of primary cultures of mouse astrocytes and neurons

Inastrocytes, as [K⁺]_o was increased from 1.2 to 10 mM, [K⁺]_i and [Cl^–]_i were increased, whereas [Na⁺]_i was decreased. As [K⁺]_o was increased from 10 to 60 mM, intracellular concentration of these three ions showed no significant change. When [K⁺]_o was increased from 60 to 122 mM, an increase in [K⁺]_i and [Cl^–]_i and a decrease in [Na⁺]_i were observed.Inneurons, as [K⁺]_o was increased from 1.2 to 2.8 mM, [Na⁺]_i and [Cl^–]_i were decreased, whereas [K⁺]_i was increased. As [K⁺]_o was increased from 2.8 to 30 mM, [K⁺]_i, [Na⁺]_i and [Cl^–]_i showed no significant change. When [K⁺]_o was increased from 30 to 122 mM, [K⁺]_i and [Cl^–]_i were increased, whereas [Na⁺]_i was decreased. Inastrocytes, pH_i increased when [K⁺]_o was increased. Inneurons, there was a biphasic change in pH_i. In lower [K⁺]_o (1.2–2.8 mM) pH_i decreased as [K⁺]_o increased, whereas in higher [K⁺]_o (2.8–122 mM) pH_i was directly related to [K⁺]_o. In bothastrocytes andneurons, changes in [K⁺]_o did not affect the extracellular water content, whereas the intracellular water content increased as the [K⁺]_o increased. Transmembrane potential (E_m) as measured with Tl-204 was inversely related to [K⁺]_o between 1.2 and 90 mM, a ten-fold increase in [K⁺]_o depolarized the astrocytes by about 56 mV and the neurons about 52 mV. The E_m values measured with Tl-204 were close to the potassium equilibrium potential (E_k) except those in neurons at lower [K⁺]_o. However, they were not equal to the chloride equilibrium potential (E_Cl) at [K⁺]_o lower than 30 mM in both astrocytes and neurons. Results of this study demonstrate that alteration of [K⁺]_o produced different changes in [K⁺]_i, [Na⁺]_i, [Cl^–]_i, and pH_i in astrocytes and neurons. The data show that astrocytes can adapt to alterations in [K⁺]_o, in such a way to maintain a more suitable environment for neurons.     

Kinetics of reextraction of Penicillin G from the organic phase after reactive extraction

The kinetics of reextraction of penicillin from the LA-2-penicillin complex-n-butylacetate solution by phosphate buffer was investigated experimentally and theoretically. The concentration time functions can be described by a mathematical model in a wide range of pH-values and complex concentrations.List of Symbols a _P [m²/m³] specific interfacial area - c _A , c _Ai [mMol] concentration of amine in the bulk of the organic phase and at the interface - c _AHP , c _AHPi [mMol] concentration of the complex in bulk of the organic phase and at the interface - c _H , c _Hi [mMol] concentration of the proton in the bulk of the aqueous phase and at the interface - c _P , c _Pi [mMol] concentration of the penicillin acid anion in the bulk of the aqueous phase and at the interface - J _A , J _AHP , J _P [mMol · cm · s^–1] fluxes of amine, complex and penicillin acid anion - k _A , k _AHP , k _P [cm · s^–1] mass transfer coefficients of amine, complex and penicillin acid anion - K _G [mMol²] equilibrium constant - t [k] extraction time     

Spatial variation of soil properties and plant colonisation on cut slopes: a case study in the semi-tropical hilly areas of China

Background: Transport infrastructure has severe impacts on ecosystems and results in large numbers of cut slopes, which are difficult to revegetate. To increase successful revegetation, it is crucial to understand the relationships of soil properties and vegetation during spontaneous vegetation recovery on cut slopes.

Aims: To assess the effects of different slope positions on soil properties and vegetation on a cut slope and to determine the key factor(s) affecting vegetation distribution on a cut slope in a semi-tropical environment.

Methods: Soil samples were collected in three slope positions: upper slope (US), middle slope (MS) and foot slope (FS). Soil pH, moisture and bulk density and concentrations of soil organic carbon (C), total nitrogen (N_T), available nitrogen (N_A), total phosphorus (P_T), available phosphorus (P_A), total potassium (K_T) and available potassium (K_A) were determined. Vegetation composition and cover were recorded along the slope. One-way analysis of variance (ANOVA), indicator species analysis (ISA) and detrended canonical correspondence analysis (DCCA) were applied to analyse differences in soil properties among slope positions and vegetation distributions.

Results: N_T, N_A, P_T, P_A, K_A, C and pH tended to increase from the US to the FS. Two indicator species were abundant in their respective slope positions: Achyranthes bidentata in the FS and Dicranopteris dichotoma in the US. DCCA showed that pH and some soil nutrients (N_A, P_T, P_A and C) influenced the vegetation distribution on cut slope.

Conclusions: Soil pH and some soil nutrients including N_A, P_T, P_A and C had large impacts on vegetation distribution along slope positions in a semi-tropical area of China. We suggest increasing soil pH to provide a better soil environment for plant colonisation in further research concerning the restoration of such cut slopes.     

A Model for the Regulation of K Influx, and Tissue Potassium Concentrations by Negative Feedback Effects upon Plasmalemma Influx

By means of a modified Michaelis-Menten equation for K⁺ influx, which includes terms for root and external K⁺ concentrations (root [K⁺] and [K⁺]₀, respectively) it is possible to predict the manner in which short-term (perturbation) fluxes of K⁺ into roots of barley plants (Hordeum vulgare cv Fergus) vary with root [K⁺] and [K⁺]₀. Influx values derived from this equation were used to predict changes of root and shoot [K⁺] and K⁺ absorption rates (as functions of time and [K⁺]₀) from a knowledge of K⁺ efflux, relative growth rates of roots and shoots, and the partitioning of absorbed K⁺ between these organs. A microcomputer program was employed to model these changes in low-salt plants following transfer to solutions in which [K⁺]₀ was maintained at values ranging from 5 to 1000 millimoles per cubic meter. The model was operated on the basis of 10 minute absorption periods which provided data for continuous `updating' of tissue [K⁺]. The simulations were undertaken for periods corresponding to 30 days. During this time the model accurately predicted the manner in which K⁺ influx and root and shoot [K⁺] gradually approach values which are essentially independent of [K⁺]₀. The computer program was also used to predict the outcome of changing various external and internal parameters of the proposed regulatory system. The results of these simulations are discussed in the context of current models for negative feedback control of ion fluxes.     

The effects of experimental conditions of fluorescence quenching on the binding parameters of apigenin to bovine serum albumin by response surface methods

A fluorescence quenching technique is often used to study interactions between small molecules and serum albumin. However, the results are quite different by using spectroscopic techniques on the same drug‐protein interaction research and they may be affected by different conditions (e.g. working solution of pH and ionic strength). In this research, using apigenin as an example, the effect of experimental conditions of fluorescence quenching on the binding parameters of drug to bovine serum albumin was investigated using a response surface method (RSM). The effect of pH, the concentration of NaCl and the concentration Mg²⁺ on the quenching constant (K_SV), the apparent association constant (K_a) and the number of binding sites (n) was studied by single‐factor experiments with pH, [NaCl] and [Mg²⁺] as independent variables and K_SV, K_a and n as response values. Prediction models were fit to a quadratic polynomial regression equation and the results showed that both K_SV and n displayed a second‐order model, whereas Ka displayed linear relation dependence on pH, [NaCl] and [Mg²⁺]. Under these experimental conditions, [NaCl] was the most significant (p < 0.05) impact factor on K_SV and K_a, whereas n was most affected by pH (p < 0.05). Copyright © 2013 John Wiley & Sons, Ltd.     

The dual effect of rubidium ions on potassium efflux in depolarized frog skeletal muscle

Summary The effects of external Rb⁺ on the efflux of⁴²K⁺ from whole frog sartorius muscles loaded with 305mm K⁺ and 120mm Cl^– were studied. K⁺ efflux is activated by [Rb⁺] _o less than about 40mm according to a sigmoid relation similar to that for activation by [K⁺] _o . At [Rb⁺]_o greater than 40mm, K⁺ efflux declines, although at [Rb⁺] _o =300mm it is still greater than at [Rb⁺] _o =0mm. For low concentrations, the increment in K⁺ efflux over that in K⁺- and Rb⁺-free solution, k, is described by the relation k=a[X⁺] _o ⁿ , for both K⁺ and Rb⁺. The value ofa is larger for Rb⁺ than for K⁺, while the values ofn are similar; the activation produced by a given [Rb⁺] _o is larger than that by an equal [K⁺] _o for concentrations less than about 40mm. Adding a small amount of Rb⁺ to a K⁺-containing solution has effects on K⁺ efflux which depend on [K⁺] _o . At low [K⁺] _o , adding Rb⁺ increases K⁺ efflux, the effect being greatest near [K⁺] _o =30mm and declining at higher [K⁺] _o ; at [K⁺] _o above 40mm, addition of Rb⁺ decreases K⁺ efflux. At [K⁺] _o above 75mm, where K⁺ efflux is largely activated, Rb⁺ reduces K⁺ efflux by a factorb, described by the relationb=1/(1+c[Rb⁺] _o ). Activation is discussed in terms of binding to at least two sites in the membrane, and the reduction in K⁺ efflux by Rb⁺ at high [K⁺] _o in terms of association with an additional inhibitory site.     

Platelet Ca2+ handling in essential hypertension: Role of a plasma ouabain-like factor

A humoral ouabain-like plasma factor has been observed in patients with essential hypertension (EHT). In the present study, we hypothesized that this humoral factor might be responsible for the elevated cytosolic free calcium concentrations [Ca²⁺]_i seen in these patients. Patients with mild to moderate EHT and their normotensive first degree blood relatives (NTBR) participated in the study. Platelet Na⁺, K⁺-ATPase activity was assayed in EHT patients and their NT first-degree relatives. To confirm the ouabain-like activity in plasma from EHT patients, control platelets were incubated with EHT and NTBR plasma and their Na⁺, K⁺-ATPase activity was measured. In addition, the effect of EHT plasma on platelet⁴⁵Ca-uptake was studied. Thein vitro effects of ouabain (10 ΜM) on (i)⁴⁵Ca-uptake and (ii) [Ca²⁺]_i response in control platelets were also observed. A decreased Na⁺K⁺-ATPase activity (P< 0.05) was observed in platelet membranes from EHT patients. Incubation of control platelets with EHT plasma decreased their Na⁺, K⁺-ATPase activity (P< 0.01) and increased their⁴⁵Ca-uptake (P< 0.05). C-18 Sep-Pak filtered hypertensive plasma extracts (containing the ouabain-like fraction) also decreased Na⁺, K⁺-ATPase activity (P< 001) in control platelet membranes.In vitro incubation of control platelets with ouabain increased⁴⁵Ca-uptake (P< 005) and [Ca²⁺]_i response (P< 0.05) in these platelets. Thus it appears that an ouabain-like factor in the EHT plasma may contribute to the elevated platelet [Ca²⁺]_i observed in EHT patients.     

Unmasking the Conformational Stability and Inhibitor Binding to SARS-CoV-2 Main Protease Active Site Mutants and Miniprecursor

We recently demonstrated that inhibitor binding reorganizes the oxyanion loop of a monomeric catalytic domain of SARS CoV-2 main protease (MPro) from an unwound (E) to a wound (active, E*) conformation, independent of dimerization. Here we assess the effect of the flanking N-terminal residues, to imitate the MPro precursor prior to its autoprocessing, on conformational equilibria rendering stability and inhibitor binding. Thermal denaturation (T_m) of C145A mutant, unlike H41A, increases by 6.8 °C, relative to wild-type mature dimer. An inactivating H41A mutation to maintain a miniprecursor containing TSAVL[Q or E] of the flanking nsp4 sequence in an intact form [^(-6)MPro^H41A and ^(-6*)MPro^H41A, respectively], and its corresponding mature MPro^H41A were systematically examined. While the H41A mutation exerts negligible effect on T_m and dimer dissociation constant (K_dimer) of MPro^H41A, relative to the wild type MPro, both miniprecursors show a 4–5 °C decrease in T_m and > 85-fold increase in K_dimer as compared to MPro^H41A. The K_d for the binding of the covalent inhibitor GC373 to ^(-6*)MPro^H41A increases ～12-fold, relative to MPro^H41A, concomitant with its dimerization. While the inhibitor-free dimer exhibits a state in transit from E to E* with a conformational asymmetry of the protomers’ oxyanion loops and helical domains, inhibitor binding restores the asymmetry to mature-like oxyanion loop conformations (E*) but not of the helical domains. Disorder of the terminal residues 1–2 and 302–306 observed in both structures suggest that N-terminal autoprocessing is tightly coupled to the E-E* equilibrium and stable dimer formation.     

Modeling of the Interaction of Na+ and K+ with the Binding of the Cocaine Analogue 3β-(4-[125I]Iodophenyl)tropane-2β-Carboxylic Acid Isopropyl Ester to the Dopamine Transporter

Abstract: The present study examines the interaction of Na⁺ and K⁺ with the binding of the cocaine analogue 3β-(4-[¹²⁵I]iodophenyl)tropane-2β-carboxylic acid isopropyl ester to dopamine transporters (DATs) in rat striatal synaptosomal membranes at 37°C. The binding increases with [Na⁺] from 10 to 100 mM and decreases with higher [Na⁺]. The presence of K⁺ reduces the maximal stimulatory effect of Na⁺ and causes a nonlinear EC₅₀ shift for Na⁺. K⁺ strongly inhibits the binding at low [Na⁺]. Increasing [Na⁺] produces a linear IC₅₀ shift for K⁺. Saturation analysis indicates a single binding site changing its affinity for the radioligand depending on [K⁺]/[Na⁺] ratio in the assay buffer. A reduced B_max was observed in the presence of 10 mM Na⁺ and 30 mM K⁺. Both high [Na⁺] and high [K⁺] accelerate the dissociation of the binding, and K⁺-induced acceleration was abolished by increasing [Na⁺]. Least squares model fitting of equilibrium data and kinetic analysis of dissociation rates reveal competitive interactions between Na⁺ and K⁺ at two sites allosterically linked on the DAT: One site mediates the stimulatory effect of Na⁺, and the other site involves the radioligand binding and the inhibitory effect of cations on the binding. Various uptake blockers and substrates, dopamine in particular, display reduced potency in inhibiting the binding at a higher [K⁺]/[Na⁺] ratio.     

Kinetics of K-Cl Cotransport in Frog Erythrocyte Membrane: Effect of External Sodium

In frog red blood cells, K-Cl cotransport (i.e., the difference between ouabain-resistant K fluxes in Cl and NO₃) has been shown to mediate a large fraction of the total K⁺ transport. In the present study, Cl⁻-dependent and Cl⁻-independent K⁺ fluxes via frog erythrocyte membranes were investigated as a function of external and internal K⁺ ([K⁺] _e and [K⁺] _i ) concentration. The dependence of ouabain-resistant Cl⁻-dependent K⁺ (⁸⁶Rb) influx on [K⁺] _e over the range 0–20 mm fitted the Michaelis-Menten equation, with an apparent affinity (K _m ) of 8.2 ± 1.3 mm and maximal velocity (V _max ) of 10.4 ± 1.6 mmol/l cells/hr under isotonic conditions. Hypotonic stimulation of the Cl⁻-dependent K⁺ influx increased both K _m (12.8 ± 1.7 mm, P < 0.05) and V _max (20.2 ± 2.9 mmol/l/hr, P < 0.001). Raising [K⁺] _e above 20 mm in isotonic media significantly reduced the Cl⁻-dependent K⁺ influx due to a reciprocal decrease of the external Na⁺ ([Na⁺] _e ) concentration below 50 mm. Replacing [Na⁺] _e by NMDG⁺ markedly decreased V _max (3.2 ± 0.7 mmol/l/hr, P < 0.001) and increased K _m (15.7 ± 2.1 mm, P < 0.03) of Cl⁻-dependent K⁺ influx. Moreover, NMDG⁺ Cl substitution for NaCl in isotonic and hypotonic media containing 10 mm RbCl significantly reduced both Rb⁺ uptake and K⁺ loss from red cells. Cell swelling did not affect the Na⁺-dependent changes in Rb⁺ uptake and K⁺ loss. In a nominally K⁺(Rb⁺)-free medium, net K⁺ loss was reduced after lowering [Na⁺] _e below 50 mm. These results indicate that over 50 mm [Na⁺] _e is required for complete activation of the K-Cl cotransporter. In nystatin-pretreated cells with various intracellular K⁺, Cl⁻-dependent K⁺ loss in K⁺-free media was a linear function of [K⁺] _i , with a rate constant of 0.11 ± 0.01 and 0.18 ± 0.008 hr⁻¹ (P < 0.001) in isotonic and hypotonic media, respectively. Thus K-Cl cotransport in frog erythrocytes exhibits a strong asymmetry with respect to transported K⁺ ions. The residual, ouabain-resistant K⁺ fluxes in NO₃ were only 5–10% of the total and were well fitted to linear regressions. The rate constants for the residual influxes were not different from those for K⁺ effluxes in isotonic (∼0.014 hr⁻¹) and hypotonic (∼0.022 hr⁻¹) media, but cell swelling resulted in a significant increase in the rate constants. Received: 19 November 1998/Revised: 23 August 1999     

Endogenous Expression of Adenosine A<Subscript>1</Subscript>, A<Subscript>2 </Subscript>and A<Subscript>3</Subscript> Receptors in Rat C6 Glioma Cells

Inhibitory and stimulatory adenosine receptors have been identified and characterized in both membranes and intact rat C6 glioma cells. In membranes, saturation experiment performed with [³H]DPCPX, selective A₁R antagonist, revealed a single binding site with a K _D = 9.4 ± 1.4 nM and B _max = 62.7 ± 8.6 fmol/mg protein. Binding of [³H]DPCPX in intact cell revealed a K _D = 17.7 ± 1.3 nM and B _max = 567.1 ± 26.5 fmol/mg protein. On the other hand, [³H]ZM241385 binding experiments revealed a single binding site population of receptors with K _D = 16.5 ± 1.3 nM and B _max = 358.9 ± 52.4 fmol/mg protein in intact cells, and K _D = 4.7 ± 0.6 nM and B _max = 74.3 ± 7.9 fmol/mg protein in plasma membranes, suggesting the presence of A_2A receptor in C6 cells. A₁, A_2A, A_2B and A₃ adenosine receptors were detected by Western-blotting and immunocytochemistry, and their mRNAs quantified by real time PCR assays. Giα and Gsα proteins were also detected by Western-blotting and RT-PCR assays. Furthermore, selective A₁R agonists inhibited forskolin- and GTP-stimulated adenylyl cyclase activity and CGS 21680 and NECA stimulated this enzymatic activity in C6 cells. These results suggest that C6 glioma cells endogenously express A₁ and A₂ receptors functionally coupled to adenylyl cyclase inhibition and stimulation, respectively, and suggest these cells as a model to study the role of adenosine receptors in tumoral cells.     

Dopamine Receptors in Subcellular Fractions from Bovine Caudate: Enrichment of [3H]Spiperone Binding in a Postsynaptic Membrane Fraction

Abstract: Specific binding of tritiated dopamine, spiperone, and N-propylnorapomorphine was examined in subcellular fractions from bovine caudate nucleus. All fractions contained at least two sets of specific binding sites for [³H]spiperone (K_{D 1}^aPP= 0.2 nM, K_{D 2}^aPP= 2.2 nM), the higher affinity sites accounting for one-third to one-eighth of the total. [³H]Spiperone binding was slightly enriched over the total particulate fraction in P₂, P₃, SPM, and a crude fraction of synaptic mitochondria. A microsomal subfraction (P₃B₂) exhibited the highest specific binding capacity obtained, representing a fourfold enrichment over the total particulate fraction. [³H]Dopamine exhibited apparent binding to a single class of high-affinity sites in all fractions examined (K_D^aPP= 4.0 nM). A greater than twofold enrichment was observed in all fractions except myelin and P₃, with a fivefold enrichment in SPM and P₃B₂. At least two classes of receptors were labeled by [³H]-N-propylnorapomorphine (K_{D 1}^aPP= 0.55 nM, K_{D 2}^aPP= 20 nM), using 50 nM-spiperone together with 100 nM-dopamine to define nonspecific binding. Although binding to the higher affinity site was displaced by spiperone, and lower affinity binding by dopamine, comparison of receptor densities with values obtained by using [³H]spiperone and [³H]dopamine directly suggested that [³H]-N-propylnorapomorphine labeled additional sites. We have also examined a postsynaptic membrane (PSM) fraction obtained from SPM by successive extraction with salt and EGTA followed by sonication and separation on a density gradient. [³H]Spiperone binding in PSM was enriched two- to threefold over unfractionated SPM with a concomitant decrease in [³H]dopamine binding. The enrichment in spiperone receptors was almost entirely due to an increase in the number of lower affinity binding sites, suggesting that these sites may be associated with the postsynaptic membrane.     

A minimal physiologically based pharmacokinetic model to investigate FcRn-mediated monoclonal antibody salvage: Effects of Kon,Koff, endosome trafficking,and animal species

ABSTRACT

Manipulation of binding affinity between monoclonal antibodies (mAbs) and the neonatal Fc receptor (FcRn) has been leveraged to extend mAb half-life; however, the steps required for success remain ambiguous and experimental observations are inconsistent. Recent models have considered the time course of endosomal transit a major contributor to the relationship between FcRn affinity and antibody half-life. Our objective was to develop a minimal physiologically based pharmacokinetic model to explain how changes in IgG-FcRn association rate constant (K_on), dissociation rate constant (K_off), and endosomal transit time [T_(w)] translate to improved IgG clearance across mice, monkeys and humans. By simulating mAb clearance across physiological values of K_on, K_off, and T_(w), we found that lowering K_off improves clearance only until the dissociation half-life reaches endosomal transit time. In contrast, K_on influenced clearance independently of T_(w).The model was then applied to fit 66 mAb plasma profiles across species digitized from the literature, and clearance of mAb (CL_IgG) and vascular fluid-phase endocytosis rate (CL_up) were estimated. We found that CL_IgG scaled well with body weight (allometric exponent of 0.90). After accounting for mAbs with significant FcRn binding at physiological pH, CL_up was allometrically scalable (exponent 0.72). For the antibodies surveyed, K_on was more highly correlated with CL_IgG across all species. The relationship between K_off and K_D with CL_IgG was largely inconsistent. Taken together, this model provides a parsimonious approach to evaluate endosomal transit kinetics using only mAb plasma concentrations. These findings reinforce the idea that endosomal transit kinetics should be considered when modeling FcRn salvage.     

The binding of adenosine to polyuridylic acid in which uracil residues are chemically altered.

The binding of adenosine-¹⁴C to polyuridylic acid (poly(U)) and several modified poly(U)s has been studied by equilibrium dialysis. The poly(U) was modified by addition of appropriate reagents across the 5,6-double bond of the uracil ring to form the photohydrate, photodimer, dihydrouracil, the HOBr addition product and the HSO₃^? addition product. Modification of the uracil rings decreases the amount of adenosine which can be bound to the poly(U); the decrease in binding is a function of the fraction of uracil rings which have been changed. Using the expression S = S₀(1 ? αr)² to relate the fraction of uracil rings modified (r) to the number of binding “sites” remaining (S), it is found that α is about 1 for all the modifications except photodimer where it is about 2. These observations are taken to mean that the loss of binding capacity of the poly(U) resulting from modifications of the uracil ring is caused by loss of planarity of the uracil rings caused by the modifications, and consequent loss of double helix structure, but that for all modifications except photodimer there is no disruption of the poly(U) double helix on either side of the leison. There does appear to be local melting on either side of the photodimer lesion. The sigmoidal binding isotherms (A_b versus C_a) of modified and unmodified poly(U) can be approximated closely by the following equation: ((1)) (1) where A_b = bound A, C_a = free A, n = minimum number of adjacent A′s in complex, S = concentration of sites on poly(U), and K₁ = (K_m)^1/m for all m ≥ n. The stacking energy of adenosine (w) can be calculated accurately using the following equation, where dθ/d ln C_a is obtained from Eq. (1). ((2)) (2) For unmodified poly(U), w is ?2.0 kcal/mole and ΔG° (?;RT ln K₁) is ?3.2 kcal/mole. The difference (?1.2 kcal/mole) is attributed to hydrogen bonding. Heavily photohydrated poly(U) does not bind guanosine or guanosine-5′-phosphate.     

Characterization and Localization of Adenosine A2 Receptors in Bovine Rod Outer Segments

Abstract: Previous work from this laboratory has shown that retinal adenosine A₂ binding sites are localized over outer and inner segments of photoreceptors in rabbit and mouse retinal sections. In the present study, adenosine receptor binding has been characterized and localized in membranes from bovine rod outer segments (ROS). Saturation studies with varying concentrations (10–150 nM) of 5′-(N-[2,8-³H]ethylcarboxamido)adenosine ([³H]NECA) and 100 μg of ROS membrane protein show a single site with a K_D of 103 nM and a B_max of 1.3 pM/mg of protein. Cold Scatchards, which used nonradiolabeled NECA (concentrations ranging from 10 nM to 250 nM) in competition with a fixed amount of [³H]NECA (30 nM), demonstrated the presence of a low-affinity site (K_D, 50 μM) in addition to the high-affinity site. To confirm the presence of A_2abinding sites, saturation analyses with 2-p-(2-[³H]-carboxyethyl)phenylamino-5′-N-ethylcarboxamido adenosine (0–80 nM) also revealed a single population of high-affinity A_2a receptors (K_D, 9.4 nM). The binding sites labeled by [³H]NECA appear to be A₂ receptor sites because binding was displaced by increasing concentrations of 5′-(N-methylcarboxamido)adenosine and 2-chloroadenosine. ROS were fractionated into plasma and disk membranes for localization studies. Receptor binding assays, used to determine specific binding, showed that the greatest concentration of A₂ receptors was on the plasma membranes. Therefore, adenosine A₂ receptors are in a position to respond to changes in the concentration of extracellular adenosine, which may exhibit a circadian rhythm.     

Predicting responses of photosynthesis and root fraction to elevated [CO2]a: interactions among carbon,nitrogen, and growth*

At elevated atmospheric CO₂ concentrations ([CO₂]_a), photosynthetic capacity (A_max) and root fraction (η_R, the ratio of root to plant dry mass) increased in some studies and decreased in others. Here, we have explored possible causes of this, focusing on the relative magnitudes of the effects of elevated [CO₂]_a on specific leaf (n_m) and plant (n_p) nitrogen concentrations, leaf mass per unit area (h), and plant nitrogen productivity (α). In our survey of 39 studies with 35 species, we found that elevated [CO₂]_a led to decreased n_m and n_p in all the studies and to increased h and α in most of the studies. The magnitudes of these changes varied with species and with experimental conditions. Based on a model that integrated [CO₂]_a-induced changes in leaf nitrogen into a biochemically based model of leaf photosynthesis, we predicted that, to a first approximation, photosynthesis will be upregulated (A_max will increase) when growth at increased [CO₂]_a leads to increases in h that are larger than decreases in n_m. Photosynthesis will be downregulated (A_max will decrease) when increases in h are smaller than decreases in n_m. The model suggests that photosynthetic capacity increases at elevated [CO₂]_a only when additional leaf mesophyll more than compensates the effects of nitrogen dilution. We considered two kinds of regulatory paradigms that could lead to varying responses of η_R to elevated [CO₂]_a, and compared the predictions of each with the data. A simple static model based on the functional balance concept predicts that η_R should increase when neither n_p nor h is very responsive to elevated [CO₂]_a. The quantitative and qualitative agreement of the predictions with data from the literature, however, is poor. A model that predicts η_R from the relative sensitivities of photosynthesis and relative growth rate to elevated [CO₂]_a corresponds much more closely to the observations. In general, root fraction increases if the response of photosynthesis to [CO₂]_a is greater than that of relative growth rate.     

Phosphorus recycling in photorespiration maintains high photosynthetic capacity in woody species

Leaf photosynthetic CO₂ responses can provide insight into how major nutrients, such as phosphorus (P), constrain leaf CO₂ assimilation rates (A_net). However, triose‐phosphate limitations are rarely employed in the classic photosynthesis model and it is uncertain as to what extent these limitations occur in field situations. In contrast to predictions from biochemical theory of photosynthesis, we found consistent evidence in the field of lower A_net in high [CO₂] and low [O₂] than at ambient [O₂]. For 10 species of trees and shrubs across a range of soil P availability in Australia, none of them showed a positive response of A_net at saturating [CO₂] (i.e. A_max) to 2 kPa O₂. Three species showed >20% reductions in A_max in low [O₂], a phenomenon potentially explained by orthophosphate (P_i) savings during photorespiration. These species, with largest photosynthetic capacity and P_i > 2 mmol P m^?2, rely the most on additional P_i made available from photorespiration rather than species growing in P‐impoverished soils. The results suggest that rarely used adjustments to a biochemical photosynthesis model are useful for predicting A_max and give insight into the biochemical limitations of photosynthesis rates at a range of leaf P concentrations. Phosphate limitations to photosynthetic capacity are likely more common in the field than previously considered.     

Factors driving spatial and temporal variation in production and production / biomass ratio of stream‐resident brown trout (Salmo trutta) in Cantabrian streams

1. The objective was to identify the factors driving spatial and temporal variation in annual production (P_A) and turnover (production/biomass) ratio (P/B_A) of resident brown trout Salmo trutta in tributaries of the Rio Esva (Cantabrian Mountains, Asturias, north‐western Spain). We examined annual production (total production of all age‐classes over a year) (P_A) and turnover (P/B_A) ratios, in relation to year‐class production (production over the entire life time of a year‐class) (P_T) and turnover (P/B_T) ratio, over 14 years at a total of 12 sites along the length of four contrasting tributaries. In addition, we explored whether the importance of recruitment and site depth for spatial and temporal variations in year‐class production (P_T), elucidated in previous studies, extends to annual production. 2. Large spatial (among sites) and temporal (among years) variation in annual production (range 1.9–40.3 g m^?2 per year) and P/B_A ratio (range 0.76–2.4 per year) typified these populations, values reported here including all the variation reported globally for salmonids streams inhabited by one or several species. 3. Despite substantial differences among streams and sites in all production attributes, when all data were pooled, annual (P_A) and year‐class production (P_T) and annual (P/B_A) and year‐class P/B_T ratios were tightly linked. Annual (P_A) and year‐class production (P_T) were similar but not identical, i.e. P_T = 0.94 P_A, whereas the P/B_T ratios were 4 + P/B_A ratios. 4. Recruitment (Rc) and mean annual density (N_A) were major density‐dependent drivers of production and their relationships were described by simple mathematical models. While year‐class production (P_T) was determined (R² = 70.1%) by recruitment (Rc), annual production (P_A) was determined (R² = 60.3%) by mean annual density (N_A). In turn, variation in recruitment explained R² = 55.2% of variation in year‐class P/B_T ratios, the latter attaining an asymptote at P/B_T = 6 at progressively higher levels of recruitment. Similarly, variations in mean annual density (N_A) explained R² = 52.1% of variation in annual P/B_A, the latter reaching an asymptote at P/B_A = 2.1. This explained why P/B_T is equal to P/B_A plus the number of year‐classes at high but not at low densities. 5. Site depth was a major determinant of spatial (among sites) variation in production attributes. All these attributes described two‐phase trajectories with site depth, reaching a maximum at sites of intermediate depth and declining at shallower and deeper sites. As a consequence, at sites where recruitment and mean annual density reached minimum or maximum values, annual (P_A) and year‐class production (P_T) and annual (P/B_A) and year‐class P/B_T ratios also reached minimum and maximum values.