A New Nonparametric Approach to the Comparison of K Independent Samples of Response Curves

Two simultaneous distribution free test procedures to test the homogeneity of K samples of response curves measured at T points of time each are proposed which react upon the shape of the response curve. One procedure is based on the comparison of K T-tupels of FRIEDMAN-rank sums, the other on the comparison of K T × T-incidence tables, which first were introduced by KANNEMANN (1976). The application of the two procedures is illustrated by a numerical example. In the discussion the tests are compared with each other and with concurring tests.     

A Comparison between the LEHMACHER & WALL Rank Tests and Pyhel's Permutation Test for the Analysis of r Independent Samples of Response Curves

LEHMACHER & WALL'S (1978) example of the application of a rank test for the comparison of two independent samples of response curves is reanalyzed by PYHEL'S (1980) permutation test for the hypothesis of parallelism of response curves. This permutation test is part of a complete evaluation of effects for a split-plot design using the permutation test based procedure by WILLMES & PYHEL (1981). Differences in test decisions are discussed.     

A Note on a Continuity Correction for Testing in Three-Dimensional Configural Frequency Analysis

A continuity correction is proposed for the test statistics of HABERMAN (1978) and LEHMACHER (1981) for identifying overfrequented (or underfrequented) cells in the three-dimensional Configural Frequency Analysis (CFA). Its quality is shown by comparison with the test based on the exact distribution of the cell frequencies.     

Thyroid Hormone-Induced Alterations in Membrane Structure-Function Relationships: Studies on Kinetic Properties of Rat Kidney Microsomal Na+,K+-ATPase and Lipid/Phospholipid Profiles

The effects of thyroidectomy (Tx) and subsequent treatment with 3,5,3′-triiodothyronine (T₃) or combined replacement therapy (T_R) with T₃ and thyroxine (T₄) on the substrate and temperature kinetics properties of Na⁺,K⁺-ATPase and lipid/phospholipid makeup of rat kidney microsomes were examined. Enzyme activity was somewhat high in the hypothyroid (Tx) animals and increased significantly following T₃ treatment, while T_R treatment caused a decrease. In the Tx and T₃ groups enzyme activity resolved in two kinetic components, while in the T_R group the enzyme showed allosteric behavior up to 0.5 mm ATP concentration. The K _m and V _max values of both the components decreased in Tx animals without affecting the catalytic efficiency. T₃ treatment caused a significant increase in the V _max of both the components, with a significant increase in the catalytic efficiency, while the K _m values were not upregulated. The T_R regimen lowered the K _m and V _max of component II but improved the catalytic efficiency. Thyroid status-dependent changes were also noted in the temperature kinetics of the enzyme. Regression analysis revealed that changes in the substrate and temperature kinetics parameters correlated with specific phospholipid components.     

39K nuclear magnetic resonance and a mathematical model of K+ transport in human erythrocytes

³⁹K nuclear magnetic resonance was used to measure the efflux of K⁺ from suspensions of human erythrocytes [red blood cells (RBCs)], that occurred in response to the calcium ionophore, A23187 and calcium ions; the latter activate the Gárdos channel. Signals from the intra- and extracellular populations of ³⁹K⁺ were selected on the basis of their longitudinal relaxation times, T ₁, by using an inversion- recovery pulse sequence with the mixing time, τ₁, chosen to null one or other of the signals. Changes in RBC volume consequent upon efflux of the ions also changed the T ₁ values so a new theory was implemented to obviate a potential artefact in the data analysis. The velocity of the K⁺ efflux mediated by the Gárdos channel was 1.19±0.40 mmol (L RBC)⁻¹ min⁻¹ at 37°C.     

A model for the regulation of brain adenylate cyclase by ionic equilibria

Multiple-equilibrium equations were solved to investigate the individual and separate effects of Mg²⁺, Mn²⁺, Ca²⁺, ATP^4–, and their complexes on the kinetics of brain adenylate cyclase. The effects of divalent metals and/or ATP^4– (in excess of their participation in complex formation) were determined and, from the corresponding apparent affinity values, the following kinetic constants were obtained:K _m(MgATP)=1.0 mM,K _i(ATP^4–)=0.27 mM,K _m(MnATP)=0.07 mM, andK _i(CaATP)=0.015 mM. MgATP, MnATP, ATP^4–, and CaATP were shown to compete for the active site of the enzyme. Hence, it is proposed that endogenous metabolites with a strong ligand activity for divalent metals, such as citrate and some amino acids, become integrated into a metabolite feedback control of the enzyme through the release of ATP^4– from MgATP. Ca²⁺ fluxes may participate in the endogenous regulation of adenylate cyclase by modifying the level of CaATP. The free divalent metals show an order of affinityK _0.5(Ca²⁺)=0.02 mM,K _0.5(Mn²⁺)=3.8 mM,K _0.5(Mg²⁺)=4.7 mM, and an order of activity Mn²⁺>Mg²⁺>Ca²⁺. The data indicate that Mn²⁺ and Mg²⁺ ions may compete for a regulatory site distinct from the active site and increaseV _m without changingK _m(MgATP),K _m(MnATP), orK _i(ATP^4–). The interactions of ATP^4– and CaATP, which act as competitive inhibitors of the reaction of the enzyme with the substrates MgATP and MnATP, and Mg²⁺ and Mn²⁺, which act as activators of the enzyme in the absence of hormones, are shown to follow the random rapid equilibrium BiBi group-transfer mechanism of Cleland with the stipulation that neither Mg²⁺ nor Mn²⁺, in excess of their respective participation in substrate formation, are obligatorily required for basal activity. ATP^4– and CaATP are involved in dead-end inhibition. For MgCl₂ saturation curves at constant total ATP concentration, the computer-generated curves based on the RARE BiBi model predict a change in the Hill cooperativityh from a basal value of 2.6, when Mg²⁺ is not obligatorily required, to 4.0 when the addition of hormones or neurotransmitters induces an obligatory requirement for Mg²⁺.Abbreviations used: Me, divalent metal; Me_T (Mg_T or Mn_T), total Me (Me²⁺ and its complexes); ATP_T, total ATP (ATP^4– and its complexes).     

Approximate Michaelis-Menten kinetics displayed in a stochastic model of cell-mediated cytotoxicity

A nonlinear continuous-time Markov chain describing a two-step process of cytolytic cells binding to target and the subsequent lysis and release of label is shown to have kinetics which resemble standard enzyme-substrate kinetics. The Michaelis-Menten saturation function is found as a special case resulting when the target population is in excess. A comparison theorem for the pseudo-steady-state distribution Π is constructed to enable examination of that distribution whose expected value E and variance V satisfy - K_mE + (C_T − E)(T_T − E) + V = 0, where K_m is the Michaelis half-saturation constant and C_T and T_T are the initial populations of the two cell types. Using Π as an initial condition, the release of label process is examined. The main result is that the fraction of specific release, ƒ, has the approximate form when T_t is large, so that a nonlinear regression procedure is appropriate for the determination of the parameters.     

Simulation of GABA B -receptor-mediated K+ current in thalamocortical relay neurons: tonic firing,bursting, and oscillations

Until recently, the presence of γ-aminobutyric acid (GABA) in the thalamus has usually been associated with the "classical" GABA _A Cl⁻-dependent receptor. However, the discovery of a slower, long-lasting, K⁺-dependent inhibitory postsynaptic potential (IPSP) mediated by GABA _B receptors in projection cells of the dorsal lateral geniculate nucleus has led researchers to reconsider its role in modulating the behavior of these cell groups (Crunelli et al. 1988; Crunelli and Leresche 1991). Of particular interest is the role of this K⁺ current in the activation of the low-threshold Ca²⁺ current, I _T , of thalamocortical relay (TCR) neurons responsible for bursting activity (Jahnsen and Llinás 1984 a, b). Considering the time scale on which the GABA _B -receptor-activated K⁺ current operates, it is ideally suited to foster sustained rhythmicity in TCR cells reciprocally connected to neurons of the nucleus reticularis thalami (NRT) as well as interneurons at frequencies observed in vivo (Steriade and Llinás 1988). In this study we show that small changes in the duration and amplitude of the K⁺-dependent IPSPs can have marked effects on TCR cell groups including a shift from single-spike firing (tonic) to bursting behavior. We further show that a single GABA _B -mediated IPSP is sufficient to activate the low-threshold Ca²⁺ response and that sustained oscillations are possible given the presence of excitatory TCR connections to GABAergic NRT cells or interneurons of the dorsal lateral thalamus. These combined effects are examined with regard to their role in generating the well known 7 – 14 Hz spindle rhythm as well as slower 6 – 8 Hz oscillations observed in TCR cells in vivo (Steriade and Llinás 1988). Received: 13 October 1993 / Accepted in revised form: 24 February 1994     

K+-Sensitive Gating of the K+ Outward Rectifier in Vicia Guard Cells

The effect of extracellular cation concentration and membrane voltage on the current carried by outward-rectifying K⁺ channels was examined in stomatal guard cells of Vicia faba L. Intact guard cells were impaled with double-barrelled microelectrodes and the K⁺ current was monitored under voltage clamp in 0.1–30 mm K⁺ and in equivalent concentrations of Rb⁺, Cs⁺ and Na⁺. From a conditioning voltage of −200 mV, clamp steps to voltages between −150 and +50 mV in 0.1 mm K⁺ activated current through outward-rectifying K⁺ channels (I _{K, out}) at the plasma membrane in a voltage-dependent fashion. Increasing [K⁺] _o shifted the voltage-sensitivity of I _{K, out} in parallel with the equilibrium potential for K⁺ across the membrane. A similar effect of [K⁺] _o was evident in the kinetics of I _{K, out} activation and deactivation, as well as the steady-state conductance- (g _K ⁻) voltage relations. Linear conductances, determined as a function of the conditioning voltage from instantaneous I-V curves, yielded voltages for half-maximal conductance near −130 mV in 0.1 mm K⁺, −80 mV in 1.0 mm K⁺, and −20 mV in 10 mm K⁺. Similar data were obtained with Rb⁺ and Cs⁺, but not with Na⁺, consistent with the relative efficacy of cation binding under equilibrium conditions (K⁺≥ Rb⁺ > Cs⁺ > > Na⁺). Changing Ca²⁺ or Mg²⁺ concentrations outside between 0.1 and 10 mm was without effect on the voltage-dependence of g _K or on I _{K, out} activation kinetics, although 10 mm [Ca²⁺] _o accelerated current deactivation at voltages negative of −75 mV. At any one voltage, increasing [K⁺] _o suppressed g _K completely, an action that showed significant cooperativity with a Hill coefficient of 2. The apparent affinity for K⁺ was sensitive to voltage, varying from 0.5 to 20 mm with clamp voltages near −100 to 0 mV, respectively. These, and additional data indicate that extracellular K⁺ acts as a ligand and alters the voltage-dependence of I _{K, out} gating; the results implicate K⁺-binding sites accessible from the external surface of the membrane, deep within the electrical field, but distinct from the channel pore; and they are consistent with a serial 4-state reaction-kinetic model for channel gating in which binding of two K⁺ ions outside affects the distribution between closed states of the channel. Received: 27 November 1996/Revised: 4 March 1997     

Clumpak: a program for identifying clustering modes and packaging population structure inferences across K

The identification of the genetic structure of populations from multilocus genotype data has become a central component of modern population‐genetic data analysis. Application of model‐based clustering programs often entails a number of steps, in which the user considers different modelling assumptions, compares results across different predetermined values of the number of assumed clusters (a parameter typically denoted K), examines multiple independent runs for each fixed value of K, and distinguishes among runs belonging to substantially distinct clustering solutions. Here, we present Clumpak (Cluster Markov Packager Across K), a method that automates the postprocessing of results of model‐based population structure analyses. For analysing multiple independent runs at a single K value, Clumpak identifies sets of highly similar runs, separating distinct groups of runs that represent distinct modes in the space of possible solutions. This procedure, which generates a consensus solution for each distinct mode, is performed by the use of a Markov clustering algorithm that relies on a similarity matrix between replicate runs, as computed by the software Clumpp . Next, Clumpak identifies an optimal alignment of inferred clusters across different values of K, extending a similar approach implemented for a fixed K in Clumpp and simplifying the comparison of clustering results across different K values. Clumpak incorporates additional features, such as implementations of methods for choosing K and comparing solutions obtained by different programs, models, or data subsets. Clumpak , available at http://clumpak.tau.ac.il , simplifies the use of model‐based analyses of population structure in population genetics and molecular ecology.     

Basolateral K channel activated by carbachol in the epithelial cell line T84

Cholinergic stimulation of chloride secretion involves the activation of a basolateral membrane potassium conductance, which maintains the electrical gradient favoring apical Cl efflux and allows K to recycle at the basolateral membrane. We have used transepithelial short-circuit current (I _SC), fluorescence imaging, and patch clamp studies to identify and characterize the K channel that mediates this response in T₈₄ cells. Carbachol had little effect on I _SC when added alone but produced large, transient currents if added to monolayers prestimulated with cAMP. cAMP also enhanced the subsequent I _SC response to calcium ionophores. Carbachol (100 m) transiently elevated intracellular free calcium ([Ca²⁺] _i ) by 3-fold in confluent cells cultured on glass coverslips with a time course resembling the I _sc response of confluent monolayers that had been grown on porous supports. In parallel patch clamp experiments, carbachol activated an inwardly rectifying potassium channel on the basolateral aspect of polarized monolayers which had been dissected from porous culture supports. The same channel was transiently activated on the surface of subconfluent monolayers during stimulation by carbachol. Activation was more prolonged when cells were exposed to calcium ionophores. The conductance of the inward rectifier in cell-attached patches was 55 pS near the resting membrane potential (–54 mV) with pipette solution containing 150 mm KCl (37°C). This rectification persisted when patches were bathed in symmetrical 150 mm KCl solutions. The selectivity sequence was 1 K > 0.88 Rb > 0.18 Na Cs based on permeability ratios under bi-ionic conditions. The channel exhibited fast block by external sodium ions, was weakly inhibited by external TEA, was relatively insensitive to charybdotoxin, kaliotoxin, 4-aminopyridine and quinidine, and was unaffected by external 10 mm barium. It is referred to as the K_BIC channel based on its most distinctive properties (Ba-insensitive, inwardly rectifying, Ca-activated). Like single K_BIC channels, the carbachol-stimulated I _SC was relatively insensitive to several blockers on the basolateral side and was unaffected by barium. These comparisons between the properties of the macroscopic current and single channels suggest that the K_BIC channel mediates basolateral membrane K conductance in T₈₄ cell monolayers during stimulation by cholinergic secretagogues.We thank Dr. Marcel Crest (Laboratoire de Neurobiologie, CNRS, Marseille) for providing a sample of kaliotoxin. This work was supported by the Canadian Cystic Fibrosis Foundation and the Respiratory Health Network of Centres of Excellence. J.W.H. is a Chercheur-Boursier of the Fonds de la recherche en santé du Québec.     

Chromosome Maps of Trilliaceae: II. A Study of the Genome Composition in Polyploid Species of the Genus Trillium by Fluorescence Nucleotide Base-Specific Staining of Heterochromatic Chromosome Regions

Chromosome banding with nucleotide base-specific fluorochromes chromomycin A₃ (CMA) and Hoechst 33258 (H33258) was used to study the karyotypes and to construct cytological maps for diploidTrillium camschatcense(2n = 10), tetraploid T. tschonoskii(2n = 20), hexaploidT. rhombifolium (2n = 30), and a triploid T. camschatcense × T. tschonoskii hybrid (T. × hagae, 2n = 15). With H33258, species- and genome-specific patterns with numerous AT-rich heterochromatin bands were obtained for each of the four forms; CMA revealed a few small, mostly telomeric GC-rich bands. In T. tschonoskii, the two subgenomes were similar to each other and differed from the T. camschatcense genome; on this evidence, the species was considered to be a segmental allotetraploid. InT. ×hagae, one T. camschatcense and both T. tschonoskii subgenomes were identified. The subgenomes of T. rhombifoliumonly partly corresponded to the T. camschatcense and T. tschonoskii genomes, in contrast to the morphologically identical Japanese species T. hagae. This was assumed to indicate that allohexaploids T. rhombifolium and T. hagae originated independently at different times; i.e., their origin is polyphyletic. Based on the chromosome maps, a new nomenclature was proposed for theTrillium genomes examined: K₁K₁ for T. camschatcense,T₁T₁T₂T₂ for T. tschonoskii,K₁T₁T₂ for T. × hagae, and K_1RK_1RT_1RT_1RT_2RT_2R for T. rhombifolium.     

New Insights on the Mechanism of the K+-Independent Activity of Crenarchaeota Pyruvate Kinases

Eukarya pyruvate kinases have glutamate at position 117 (numbered according to the rabbit muscle enzyme), whereas in Bacteria have either glutamate or lysine and in Archaea have other residues. Glutamate at this position makes pyruvate kinases K⁺-dependent, whereas lysine confers K⁺-independence because the positively charged residue substitutes for the monovalent cation charge. Interestingly, pyruvate kinases from two characterized Crenarchaeota exhibit K⁺-independent activity, despite having serine at the equivalent position. To better understand pyruvate kinase catalytic activity in the absence of K⁺ or an internal positive charge, the Thermofilum pendens pyruvate kinase (valine at the equivalent position) was characterized. The enzyme activity was K⁺-independent. The kinetic mechanism was random order with a rapid equilibrium, which is equal to the mechanism of the rabbit muscle enzyme in the presence of K⁺ or the mutant E117K in the absence of K⁺. Thus, the substrate binding order of the T. pendens enzyme was independent despite lacking an internal positive charge. Thermal stability studies of this enzyme showed two calorimetric transitions, one attributable to the A and C domains (T_m of 99.2°C), and the other (T_m of 105.2°C) associated with the B domain. In contrast, the rabbit muscle enzyme exhibits a single calorimetric transition (T_m of 65.2°C). The calorimetric and kinetic data indicate that the B domain of this hyperthermophilic enzyme is more stable than the rest of the protein with a conformation that induces the catalytic readiness of the enzyme. B domain interactions of pyruvate kinases that have been determined in Pyrobaculum aerophilum and modeled in T. pendens were compared with those of the rabbit muscle enzyme. The results show that intra- and interdomain interactions of the Crenarchaeota enzymes may account for their higher B domain stability. Thus the structural arrangement of the T. pendens pyruvate kinase could allow charge-independent catalysis.     

Binding to the high-affinity substrate site of the (Na+ + K+)-dependent ATPase

The (Na⁺ + K⁺)-dependent ATPase exhibits substrate sites with both high affinity (K _m near 1 µM) and low affinity (K _m near 0.1 mM) for ATP. To permit the study of nucleotide binding to the high-affinity substrate sites of a canine kidney enzyme preparation in the presence as well as absence of MgCl₂, the nonhydrolyzable - imido analog of ATP, AMP-PNP, was used in experiments performed at 0–4°C by a centrifugation technique. By this method theK _D for AMP-PNP was 4.2 µM in the absence of MgCl₂. Adding 50 µM MgCl₂, however, decreased theK _D to 2.2 µM; by contrast, higher concentrations of MgCl₂ increased theK _D until, with 2 mM MgCl₂, theK _D was 6 µM. The half-maximal effect of MgCl₂ on increasing theK _D occurred at approximately 1 mM. This biphasic effect of MgCl₂ is interpreted as Mg²⁺ in low concentrations favoring AMP-PNP binding through formation at the high-affinity substrate sites of a ternary enzyme-AMP-PNP-Mg complex; inhibition of nucleotide binding at higher MgCl₂ concentrations would represent Mg²⁺ acting through the low-affinity substrate sites. NaCl in the absence of MgCl₂ increased AMP-PNP binding, with a half-maximal effect near 0.3 mM; in the presence of MgCl₂, however, NaCl increased theK _D for AMP-PNP. KCl decreased AMP-PNP binding in the presence or absence of MgCl₂, but the simultaneous presence of a molar excess of NaCl abolished (or masked) the effect of KCl. ADP and ATP acted as competitors to the binding of AMP-PNP, although a substrate for the K⁺-dependent phosphatase reaction also catalyzed by this enzyme,p-nitrophenyl phosphate, did not. This lack of competition is consistent with formulations in which the phosphatase reaction is catalyzed at the low-affinity substrate sites.     

Temporal Analogues to Spatial K Functions

In this article, the spatial statistic known as the K function is adapted for temporal processes and patterns. The (optimal) K-function estimator is used in a testing procedure to determine whether behavior patterns of exposed rats versus control rats are different. Specifically, the temporal analogue to the K function is given and an approximately optimal estimator is developed. Next, a testing procedure, to determine whether a group of point patterns is generated from complete temporal randomness, is given. Finally, a testing procedure, to compare pairwise two groups of point patterns to each other, is given. The testing procedures are illustrated with rat-behavior data from both a control-control experiment as well as an exposed-control experiment, where in the latter case a difference in behavior is known to exist.     

Morphology and phylogeny of three trachelocercids (Protozoa,Ciliophora, Karyorelictea), with description of two new species and insight into the evolution of the family Trachelocercidae

Although trachelocercid ciliates are common in marine sandy intertidal zones, methodological difficulties mean that their biodiversity and evolutionary relationships have not been well documented. This paper investigates the morphology and infraciliature of two novel Trachelolophos and one rarely known form, Tracheloraphis similis Raikov and Kovaleva, 1968, collected from the coastal waters of southern and eastern China. The small subunit (SSU) rRNA gene sequences of two of the species are presented, allowing the phylogenetic position of the genus Trachelolophos to be revealed for the first time. Phylogenetic analyses based on SSU rRNA gene sequences indicate that Trachelolophos branches with Kovalevaia and forms a sister clade with the group including Prototrachelocerca, Trachelocerca and Tracheloraphis. The monophyly of Trachelocerca is not rejected by the approximately unbiased (AU) test (P = 0.209, > 0.05) but that of Tracheloraphis is rejected (P = 3e‐033, < 0.05). The newly sequenced genus Trachelolophos, and recent studies on the morphology and phylogeny of the family Trachelocercidae, suggest two new hypotheses about the evolution of the seven genera within Trachelocercidae, based on either infraciliature or molecular evidence. Both hypotheses suppose the compound circumoral kineties in the oral apparatus is a plesiomorphic feature while the single circumoral kinety is synapomorphic. More evidence is still needed, however, as to whether the closed circumoral kinety with no brosse feature in Trachelocerca is ancestral or secondarily reduced. © 2015 The Linnean Society of London     

Characterization of K+-dependent and K+-independentp-nitrophenylphosphatase activity of synaptosomes

These experiments examined effects of several ligands on the K⁺ p-nitrophenylphosphatase activity of the (Na⁺,K⁺)-ATPase in membranes of a rat brain cortex synaptosomal preparation. K⁺-independent hydrolysis of this substrate by the synaptosomal preparation was studied in parallel; the rate of hydrolysis in the absence of K⁺ was approximately 75% less than that observed when K⁺ was included in the incubation medium. The response to the H⁺ concentrations was different: K⁺-independent activity showed a pH optimum around 6.5–7.0, while the K⁺-dependent activity was relatively low at this pH range. Ouabain (0.1 mM) inhibited K⁺-dependent activity 50%; a concentration 10 times higher did not produce any appreciable effect on the K⁺-independent activity. Na⁺ did not affect K⁺-independent activity at all, while the same ligand concentration inhibited sharply the K⁺-dependent activity; this inhibition was not competitive with the substrate,p-nitrophenyl phosphate. K⁺-dependent activity was stimulated by Mg²⁺ with low affinity (millimolar range), and 3 mM Mg²⁺ produced a slight stimulation of the activity in absence of K⁺, which could be interpreted as Mg²⁺ occupying the K⁺ sites. Ca²⁺ had no appreciable effect on the activity in the absence of K⁺. However, in the presence of K⁺ a sharp inhibition was found with all Ca²⁺ concentrations studied. ATP (0.5 mM) did not affect the K⁺-independent activity, but this nucleotide behaved as a competitive inhibitor top-nitrophenylphosphate. Pi inhibited activity in the presence of K⁺, competively to the substrate, so it could be considered as the second product of the reaction sequence.Abbreviations used p-NPP p-nitrophenylphosphate - p-NPPase rho-nitrophenylphosphatase activity     

Gill (Na+,K+)-ATPase from the blue crab Callinectes danae: modulation of K+-phosphatase activity by potassium and ammonium ions

The kinetic properties of a microsomal gill (Na⁺,K⁺)-ATPase from the blue crab Callinectes danae were analyzed using the substrate p-nitrophenylphosphate. The (Na⁺,K⁺)-ATPase hydrolyzed PNPP obeying cooperative kinetics (n=1.5) at a rate of V=125.4±7.5 U mg⁻¹ with K_0.5=1.2±0.1 mmol l⁻¹; stimulation by potassium (V=121.0±6.1 U mg⁻¹; K_0.5=2.1±0.1 mmol l⁻¹) and magnesium ions (V=125.3±6.3 U mg⁻¹; K_0.5=1.0±0.1 mmol l⁻¹) was cooperative. Ammonium ions also stimulated the enzyme through site–site interactions (n_H=2.7) to a rate of V=126.1±4.8 U mg⁻¹ with K_0.5=13.7±0.5 mmol l⁻¹. However, K⁺-phosphatase activity was not stimulated further by K⁺ plus NH₄⁺ ions. Sodium ions (K_I=36.7±1.7 mmol l⁻¹), ouabain (K_I=830.3±42.5 μmol l⁻¹) and orthovanadate (K_I=34.0±1.4 nmol l⁻¹) completely inhibited K⁺-phosphatase activity. The competitive inhibition by ATP (K_I=57.2±2.6 μmol l⁻¹) of PNPPase activity suggests that both substrates are hydrolyzed at the same site on the enzyme. These data reveal that the K⁺-phosphatase activity corresponds strictly to a (Na⁺,K⁺)-ATPase in C. danae gill tissue. This is the first known kinetic characterization of K⁺-phosphatase activity in the portunid crab C. danae and should provide a useful tool for comparative studies.     

Auxin augments conductance of K+ inward rectifier in maize coleoptile protoplasts

Potassium is taken up by maize (Zea mays L.) coleoptile cells via a typical plant inward rectifier (K _ir ). Sufficient conductance of this channel is essential in order to maintain auxin-stimulated cell elongation. It was therefore investigated whether the activity of this channel is subject to direct or indirect control by this growth hormone. Patch-clamp measurements of whole coleoptile protoplasts revealed no appreciable effect of externally applied 10 μM or 100 μM α-naphthaleneacetic acid (NAA) on the activity of K _ir over test periods of ≥ 18 or ≥ 8 min, respectively. When, however, K _ir was recorded in the cell-attached configiuration and 10 μM NAA administered to the bath medium, the conductance of K _ir increased significantly in 13 out of 18 protoplasts over the control. This rise occurred at a fixed protoplast voltage after a lag period of less than 10 min and exhibited no voltage dependency. The absence of response to NAA of protoplasts in the whole-cell configuration indicates that auxin perception and channel control is linked via a soluble cytoplasmic factor and that this mediator is washed out or modified upon perfusion of the cytoplasm with pipette solution. To search for this expected diffusible factor the K _ir current was recorded before and after elevation of Ca²⁺ and H⁺ in the cytoplasm. In the whole-cell configuration the increase in Ca²⁺ from a nanomolar value to >1 μM by means of Ca²⁺-release from the caged precursor Na₂-DM-nitrophen left K _ir unaffected. The whole-cell K _ir conductance was also not affected upon addition of 10 mM Na⁺-acetate to the bath medium, an operation used to lower the cytoplasmic pH. This excludes a primary role for the known auxin-evoked rise in cytoplasmic Ca²⁺ and H⁺ in K _ir activity. We postulate that another, as yet unknown, mechanism mediates the auxin-evoked stimulation of the number of active K _ir channels in the plasma membrane. Received: 13 May 1998 / Accepted: 9 November 1998