A new family of Cayley graph interconnection networks based on wreath product and its topological properties

This paper introduces a new type of Cayley graphs for building large-scale interconnection networks, namely WG_n^2m\mathit{WG}_{n}^{2m}, whose vertex degree is m+3 when n≥3 and is m+2 when n=2. A routing algorithm for the proposed graph is also presented, and the upper bound of the diameter is deduced as ⌊5n/2⌋. Moreover, the embedding properties and maximal fault tolerance are also analyzed. Finally, we compare the proposed networks with some other similar network topologies. It is found that WG_n^2m\mathit{WG}_{n}^{2m} is superior to other interconnection networks because it helps to construct large-scale networks with lower cost.     

ADH Action on Whole-Cell Currents by Cytosolic Ca2+-dependent Pathways in Aldosterone-treated A6 Cells

We studied the characteristics of the basal and antidiuretic hormone (arginine vasotocin, AVT)-activated whole cell currents of an aldosterone-treated distal nephron cell line (A6) at two different cytosolic Ca²⁺ concentrations ([Ca²⁺] _c , 2 and 30 nm). A6 cells were cultured on a permeable support filter for 10 ∼ 14 days in media with supplemental aldosterone (1 μm). At 30 nm [Ca²⁺] _c , basal conductances mainly consisted of Cl⁻ conductances, which were sensitive to 5-nitro-2-(3-phenylpropylamino)-benzoate. Reduction of [Ca²⁺] _c to 2 nm abolished the basal Cl⁻ conductance. AVT evoked Cl⁻ conductances at 2 as well as 30 nm [Ca²⁺] _c . In addition to Cl⁻ conductances, AVT induced benzamil-insensitive nonselective cation (NSC) conductances. This action on NSC conductances was observed at 30 nm [Ca²⁺] _c but not at 2 nm [Ca²⁺] _c . Thus, cytosolic Ca²⁺ regulates NSC and Cl⁻ conductances in a distal nephron cell line (A6) in response to AVT. Keeping [Ca²⁺] _c at an adequate level seems likely to be an important requirement for AVT regulation of ion conductances in aldosterone-treated A6 cells. Received: 6 May 1996/Revised: 28 June 1996     

Note on a combinatorial problem

In the first part of this paper we have assembled some properties of the quantitiesR _m ⁿ , whereR _m ⁿ denotes the number of distributions ofn different objects intom indifferent parcels, with no empty parcels allowed. We then discuss the following problem (N. Rashevsky, 1954, 1955 a,b, 1956): to find the total number,G _n , of graphs that can be obtained from the biotopological transformation (T ⁽¹⁾ X) for a given value of the parametern. This is related to the distribution ofn indifferent objects intom different boxes. A formula forG _n is given which, however, is not very convenient for practical computations because it involves a summation over certain “admissible partitions” of the numbermn (m is a second parameter of the transformation). Some theorems are derived; with their help we can simplify the calculation ofG _n to a small extent. The numbersG _n are calculated forn≤9 and estimated forn=10. It is found thatG ₇≈5.4×10⁴,G ₈≈8.3×10⁵,G ₉≈1.4×10⁷, andG ₁₀≈3×10⁸. These values ofn are those which might be used in connection with N. Rashevsky’s work (cf. Rashevsky, 1956).     

Characteristics of Single, Large-Conductance Calcium-Dependent Potassium Channels (BKCa) from Smooth Muscle Cells Isolated from the Rabbit Mesenteric Artery

Smooth muscle cells isolated from the secondary and tertiary branches of the rabbit mesenteric artery contain large Ca²⁺-dependent channels. In excised patches with symmetrical (140 mm) K⁺ solutions, these channels had an average slope conductance of 235 ± 3 pS, and reversed in direction at −6.1 ± 0.4 mV. The channel showed K⁺ selectivity and its open probability (P _o ) was voltage-dependent. Iberiotoxin (50 nm) reversibly decreased P _o , whereas tetraethylammonium (TEA, at 1 mm) reduced the unitary current amplitude. Apamin (200 nm) had no effect. The channel displayed sublevels around 1/3 and 1/2 of the mainstate level. The effect of [Ca²⁺] on P _o was studied and data fitted to Boltzmann relationships. In 0.1, 0.3, 1.0 and 10 μm Ca²⁺, V _1/2 was 77.1 ± 5.3 (n= 18), 71.2 ± 4.8 (n= 16), 47.3 ± 10.1 (n= 11) and −14.9 ± 10.1 mV (n= 6), respectively. Values of k obtained in 1 and 10 μm [Ca²⁺] were significantly larger than that observed in 0.1 μm [Ca²⁺]. With 30 μm NS 1619 (a BK_Ca channel activator), V _1/2 values were shifted by 39 mV to the left (hyperpolarizing direction) and k values were not affected. TEA applied intracellularly, reduced the unitary current amplitude with a K _d of 59 mm. In summary, BK_Ca channels show a particularly weak sensitivity to intracellular TEA and they also display large variation in V _1/2 and k. These findings suggest the possibility that different types (isoforms) of BK_Ca channels may exist in this vascular tissue. Received: 22 December 1997/Revised: 27 March 1998     

Synthesis of Several Fructo-oligosaccharides by Asparagus Fructosyltransferases

Nine fructo-oligosaccharides, synthesized in vitro from sucrose by an enzyme preparation from asparagus roots, were isolated and their structures were elucidated to be 1^F (1-β-fructofuranosyl)_n sucrose [n = 1 (1-kestose), 2 (nystose) and 3], 6^G (1-β-fructofuranosyl)_n sucrose [n=1 (neokestose), 2 and 3] and 1^F (1-β-fructofuranosyl)_m-6^G (1-β-fructofuranosyl)_n sucrose [m=1, n=1; m=2, n =1; and m =1, n=2]. These saccharides are all known to occur naturally in asparagus roots, but 6^G (1-β-fructofuranosyl)₃ sucrose and 1^F (1-β-fructofuranosyl)_m-6^G-(1-β-fructofuranosyl)_n sucrose (m=1, n =1; and m=1, n=2) were the first saccharides enzymatically synthesized in vitro. Also three types of fructosyltransferases were presumed to be involved in the biosynthesis of these oligosaccharides in asparagus roots.     

The Essential Role of Cytosolic Cl− in Ca2+ Regulation of an Amiloride-Sensitive Channel in Fetal Rat Pneumocyte

An amiloride-sensitive, Ca²⁺-activated nonselective cation (NSC) channel in the apical membrane of fetal rat alveolar epithelium plays an important role in stimulation of Na⁺ transport by a beta adrenergic agonist (beta agonist). We studied whether Ca²⁺ has an essential role in the stimulation of the NSC channel by beta agonists. In cell-attached patches formed on the epithelium, terbutaline, a beta agonist, increased the open probability (P _o ) of the NSC channel to 0.62 ± 0.07 from 0.03 ± 0.01 (mean ±se; n= 8) 30 min after application of terbutaline in a solution containing 1 mm Ca²⁺. The P _o of the terbutaline-stimulated NSC channel was diminished in the absence of extracellular Ca²⁺ to 0.26 ± 0.05 (n= 8). The cytosolic Ca²⁺ concentration ([Ca²⁺] _c ) in the presence and absence of extracellular Ca²⁺ was, respectively, 100 ± 6 and 20 ± 2 nm (n= 7) 30 min after application of terbutaline. The cytosolic Cl⁻ concentration ([Cl⁻] _c ) in the presence and absence of extracellular Ca²⁺ was, respectively, 20 ± 1 and 40 ± 2 mm (n= 7) 30 min after application of terbutaline. The diminution of [Ca²⁺] _c from 100 to 20 nm itself had no significant effects on the P _o if the [Cl⁻] _c was reduced to 20 mm; the P _o was 0.58 ± 0.10 at 100 nm [Ca²⁺] _c and 0.55 ± 0.09 at 20 nm [Ca²⁺] _c (n= 8) with 20 mm [Cl⁻] _c in inside-out patches. On the other hand, the P _o (0.28 ± 0.10) at 20 nm [Ca²⁺] _c with 40 mm [Cl⁻] _c was significantly lower than that (0.58 ± 0.10; P < 0.01; n= 8) at 100 nm [Ca²⁺] _c with 20 mm [Cl⁻] _c , suggesting that reduction of [Cl⁻] _c is an important factor stimulating the NSC channel. These observations indicate that the extracellular Ca²⁺ plays an important role in the stimulatory action of beta agonist on the NSC channel via reduction of [Cl⁻] _c . Received: 11 August 2000/Revised: 4 December 2000     

Role of LTD4 in the Regulatory Volume Decrease Response in Ehrlich Ascites Tumor Cells

Stimulation with leukotriene D₄ (LTD₄) (3–100 nm) induces a transient increase in the free intracellular Ca²⁺ concentration ([Ca²⁺] _i ) in Ehrlich ascites tumor cells. The LTD₄-induced increase in [Ca²⁺] _i is, however, significantly reduced in Ca²⁺-free medium (2 mm EGTA), and under these conditions stimulation with a low LTD₄ concentration (3 nm) does not result in any detectable increase in [Ca²⁺] _i . Addition of LTD₄ (3–100 nm) moreover accelerates the KCl loss seen during Regulatory Volume Decrease (RVD) in cells suspended in a hypotonic medium. The LTD₄-induced (100 nm) acceleration of the RVD response is also seen in Ca²⁺-free medium and also at 3 nm LTD₄, indicating that LTD₄ can open K⁺- and Cl⁻-channels without any detectable increase in [Ca²⁺] _i . Buffering cellular Ca²⁺ with BAPTA almost completely blocks the LTD₄-induced (100 nm) acceleration of the RVD response. Thus, the reduced [Ca²⁺] _i level after BAPTA-loading or buffering of [Ca²⁺] _i seems to inhibit the LTD₄-induced stimulation of the RVD response even though the LTD₄-induced cell shrinkage is not necessarily preceded by any detectable increase in [Ca²⁺] _i . The LTD₄ receptor antagonist L649,923 (1 μm) completely blocks the LTD₄-induced increase in [Ca²⁺] _i and inhibits the RVD response as well as the LTD₄-induced acceleration of the RVD response. When the LTD₄ receptor is desensitized by preincubation with 100 nm LTD₄, a subsequent RVD response is strongly inhibited. In conclusion, the present study supports the notion that LTD₄ plays a role in the activation of the RVD response. LTD₄ seems to activate K⁺ and Cl⁻ channels via stimulation of a LTD₄ receptor with no need for a detectable increase in [Ca²⁺] _i . Received: 25 September 1995/Revised: 25 January 1996     

Dependence of the resting [Ca2+]cyt of RBL-1 cells on Ca2+ entry

The cytoplasmic Ca²⁺ concentration ([Ca²⁺]_cyt) in resting cells in an equilibrium between several influx and efflux mechanisms. Here we address the question of whether capacitative Ca²⁺ entry to some extent is active at resting conditions and therefore is part of processes that guarantee a constant [Ca²⁺]_cyt. We measured changes of [Ca²⁺]_cyt in RBL-1 cells with fluorometric techniques. An increase of the extracellular [Ca²⁺] from 1.3 mM to 5 mM induced an incrase in [Ca²⁺]_cyt from 105±10 nM to 145±8.5 nM. This increase could be inhibited by 10 μM Gd³⁺, 10 μM La³⁺ or 50 μM 2-aminoethoxydiphenyl borate, blockers of capacitative Ca²⁺ entry. Application of those blockers to a resting cell in a standard extracellular solution (1.3 mM Ca²⁺) resulted in a decrease of [Ca²⁺]_cyt from 105±10 nM to 88.5±10 nM with La³⁺, from 103±12 to 89±12 nM with Gd³⁺ and from 102±12 nM to 89.5±5 nM with 2-aminoethoxydiphenyl borate. From these data, we conclude that capacitative Ca²⁺ entry beside its function in Ca²⁺ signaling contributes to the regulation of resting [Ca²⁺]_cyt.     

An example of a regular inbreeding system with cubic ancestral growth that preserves some genetic variability

A specific regular inbreeding system of quadruple half-second cousin mating is considered. A regular inbreeding system can be thought of as a graph which satisfies certain natural homogeneity properties. Random walks X _n and Y _n are introduced on the nodes of the graph; the event {X _n=Y_n} is a renewal event by the homogeneity properties. In Arzberger (1985) it is shown that 1) graphs associated with left cancellative semigroups are regular, and 2) for regular systems, the population becomes genetically uniform if and only if the event {X _n=Y_n} is recurrent. In Arzberger (1986) the system of quadruple half-second cousin mating is associated with a cancellative semigroup, thus the system is regular. In this paper we show that 1) A_n is asymptotically of the form cn ³, where A _n is the number of ancestors n generations into the past, 2) {X _n=Y_n} is not recurrent (this is shown by associating (X _n, Y _n) with a random walk in Z ³, 3) P[X _3n =Y _3n ] is asymptotically of the form cn ^–3/2. Thus, in this example, genetic heterogeneity is maintained, with a cubic rate of growth for A_n, not by an exponential growth rate, as in all previous examples of regular inbreeding systems in which genetic heterogeneity is maintained.     

Pressure- and parathyroid-hormone-dependent Ca2+ transport in rabbit connecting tubule: Role of the stretch-activated nonselective cation channel

To characterize the Ca²⁺ transport process across the apical membrane of the rabbit connecting tubule (CNT), we examined the effects of luminal pressure on parathyroid hormone (PTH)-dependent apical Ca²⁺ transport in this segment perfused in vitro. An increase of perfusion pressure (0.2 to 1.2 KPa) caused cytoplasmic free Ca²⁺ concentration ([Ca²⁺].) to increase by 42 ± 11 nm in Fura-2 loaded perfused CNT. The response was accentuated when 10 nm PTH was added to the bath (101 ± 30 nm, n = 6). Addition of 0.1 mm chlorphenylthio-cAMP (CPT-cAMP) to the bath also augmented the [Ca²⁺]; response to pressure from 36 ± 16 to 84 ± 26 nm (n = 3). Under steady perfusion pressure at 1.2 KPa, PTH (10 nm) increased [Ca²⁺]; by 31 ± 7 nm (n = 5), whereas it did only slightly by 6 ± 2 nm (n = 12) at 0.2 KPa. The pressure-dependent increase of [Ca²⁺]; was abolished by removing luminal Ca²⁺ (n = 3), and was not affected by 0.1 and 10 m nicardipine (n = 4) in the presence of 10 nm PTH. Cell-attached patch clamp studies on the apical membrane of everted CNT with pipettes filled with either 200 mm CaCl₂ or 140 mm NaCl revealed channel activities with conductances of 42 ± 2 pS (n = 4) or 173 ± 7 pS (n = 5), respectively. An application of negative pressure (–4.9 KPa) to the patch pipette augmented its mean number of open channels (NP ₀ ) from 0.005 ± 0.001 to 0.022 ± 0.005 in the Ca²⁺-filled pipette, and was further accelerated to 0.085 ± 0.014 (n = 3) by 0.1 mm CPT-cAMP. In the Na⁺-filled pipette, similar results were obtained (n = 3), and CPT-cAMP did not activate the stretch-activated channel in the absence of negative pressure (n = 3). These results suggest that a stretch-activated nonselective cation channel exists in the apical membrane of the CNT and that it is activated by PTH in the presence of hydrostatic pressure, allowing entry of Ca²⁺ transport from the apical membrane.We appreciate Ms. Hisayo Hosaka and Ms. Yuki Oyama for their technical assistance and Ms. Keiko Sakai for her secretarial work. This research was supported by grants from the Ministry of Education and Culture of Japan (No. 05670054) and from Yamanouchi Foundation for Research on Metabolic Disorders (1992–1993).     

Charybdotoxin blocks with high affinity the Ca-activated K+ channel of Hb A and Hb S red cells: Individual differences in the number of channels

Summary We have investigated the effect of a purified preparation of Charybdotoxin (CTX) on the Ca-activated K⁺ (Ca–K) channel of human red cells (RBC). Cytosolic Ca²⁺ was increased either by ATP depletion or by the Ca ionophore A23187 and incubation in Na⁺ media containing CaCl₂. The Ca–K efflux activated by metabolic depletion was partially (77%) inhibited from 15.8±2.4 mmol/liter cell · hr, to 3.7±1.0 mmol/liter cell · hr by 6nm CTX (n=3). The kinetic of Ca–K efflux was studied by increasing cell ionized Ca²⁺ using A23187 (60 mol/liter cell), and buffering with EGTA or citrate; initial rates of net K⁺ efflux (90 mmol/liter cell K⁺) into Na⁺ medium containing glucose, ouabain, bumetanide at pH 7.4 were measured. Ca–K efflux increased in a sigmoidal fashion (n of Hill 1.8) when Ca²⁺ was raised, with aK _m of 0.37 m and saturating between 2 and 10 m Ca²⁺. Ca–K efflux was partially blocked (71±7.8%, mean ±sd,n=17) by CTX with high affinity (IC₅₀0.8nm), a finding suggesting that is a high affinity ligand of Ca–K channels. CTX also blocked 72% of the Ca-activated K⁺ efflux into 75mm K⁺ medium, which counteracted membrane hyperpolarization, cell acidification and cell shrinkage produced by opening of the K⁺ channel in Na⁺ media. CTX did not block Valinomycin-activated K⁺ efflux into Na⁺ or K⁺ medium and therefore it does not inhibit K⁺ movement coupled to anion conductive permeability.TheV _max, but not theK _m–Ca of Ca–K efflux showed large individual differences varying between 4.8 and 15.8 mmol/liter cell · min (FU). In red cells with Hb A,V _max was 9.36±3.0 FU (mean ±sd,n=17). TheV _max of the CTX-sensitive, Ca–K efflux was 6.27±2.5 FU (range 3.4 to 16.4 FU) in Hb A red cells and it was not significantly different in Hb S (6.75±3.2 FU,n=8). Since there is larger fraction of reticulocytes in Hb S red cells, this finding indicates that cell age might not be an important determinant of theV _max of Ca–K⁺ efflux.Estimation of the number of CTX-sensitive Ca-activated K⁺ channels per cell indicate that there are 1 to 3 channels/per cell either in Hb A or Hb S red cells. The CTX-insensitive K⁺ efflux (2.7±0.9 FU) may reflect the activity of a different channel, nonspecific changes in permeability or coupling to an anion conductive pathway.     

Heat and mass exchange processes between the surface of the human body and ambient air at various altitudes

 The rates of convection and evaporation at the interface between the human body and the surrounding air are expressed by the parameters convective heat transfer coefficient h _c, in W m^–2°C^–1 and evaporative heat transfer coefficient h _e, W m^–2 hPa^–1. These parameters are determined by heat transfer equations, which also depend on the velocity of the airstream around the body, that is still air (free convection) and moving air (forced convection). The altitude dependence of the parameters is represented as an exponential function of the atmospheric pressure p: h _c∼p ⁿ and h _e∼p ^1–n, where n is the exponent in the heat transfer equation. The numerical values of n are related to airspeed: n=0.5 for free convection, n=0.618 when airspeed is below 2.0 ms^–1 and n=0.805 when airspeed is above 2.0 ms^–1. This study considers the coefficients h _c and h _e with respect to the similarity of the two processes, convection and evaporation. A framework to explain the basis of established relationships is proposed. It is shown that the thickness of the boundary layer over the body surface increases with altitude. As a medium of the transfer processes, the boundary layer is assumed to be a layer of still air with fixed insulation which causes a reduction in the intensity of heat and mass flux propagating from the human body surface to its surroundings. The degree of reduction is more significant at a higher altitude because of the greater thickness of the boundary layer there. The rate of convective and evaporative heat losses from the human body surface at various altitudes in otherwise identical conditions depends on the following factors: (1) during convection – the thickness of the boundary layer, plus the decrease in air density, (2) during evaporation (mass transfer) – the thickness of the boundary layer, plus the increase with altitude in the diffusion coefficient of water vapour in the air. The warming rate of the air volume due to convection and evaporation is also considered. Expressions for the calculation of altitude dependences h _c (p) and h _e (p) are suggested. Received: 23 June 1998 / Accepted: 10 February 1999     

Development of depolarization‐induced calcium transients in insect glial cells is dependent on the presence of afferent axons

Changes in the intracellular Ca²⁺ concentration ([Ca²⁺]_i) induced by depolarization have been measured in glial cells acutely isolated from antennal lobes of the moth Manduca sexta at different postembryonic developmental stages. Depolarization of the glial cell membrane was elicited by increasing the external K⁺ concentration from 4 to 25 mM. At midstage 5 and earlier stages, less than 20% of the cells responded to 25 mM K⁺ (1 min) with a transient increase in [Ca²⁺]_i of approximately 40 nM. One day later, at late stage 5, 68% of the cells responded to 25 mM K⁺, the amplitude of the [Ca²⁺]_i transients averaging 592 nM. At later stages, all cells responded to 25 mM K⁺ with [Ca²⁺]_i transients with amplitudes not significantly different from those at late stage 5. In stage 6 glial cells isolated from deafferented antennal lobes, i.e., from antennal lobes chronically deprived of olfactory receptor axons, only 30% of the cells responded with [Ca²⁺]_i transients. The amplitudes of these [Ca²⁺]_i transients averaged 93 nM and were significantly smaller than those in normal stage 6 glial cells. [Ca²⁺]_i transients were greatly reduced in Ca²⁺‐free, EGTA‐buffered saline, and in the presence of the Ca²⁺ channel blockers cadmium and verapamil. The results suggest that depolarization of the cell membrane induces Ca²⁺ influx through voltage‐activated Ca²⁺ channels into antennal lobe glial cells. The development of the depolarization‐induced Ca²⁺ transients is rapid between midstage 5 and stage 6, and depends on the presence of afferent axons from the olfactory receptor cells in the antenna. © 2002 Wiley Periodicals, Inc. J Neurobiol 52: 85–98, 2002     

Large Conductance Ca2+-Activated K+ Channels in Human Meningioma Cells

Cells from ten human meningiomas were electrophysiologically characterized in both living tissue slices and primary cultures. In whole cells, depolarization to voltages higher than +80 mV evoked a large K⁺ outward current, which could be blocked by iberiotoxin (100 nm) and TEA (half blocking concentration IC₅₀= 5.3 mm). Raising the internal Ca²⁺ from 10 nm to 2 mm shifted the voltage of half-maximum activation (V _1/2) of the K⁺ current from +106 to +4 mV. Respective inside-out patch recordings showed a voltage- and Ca²⁺-activated (BK _Ca ) K⁺ channel with a conductance of 296 pS (130 mm K⁺ at both sides of the patch). V _1/2 of single-channel currents was +6, −12, −46, and −68 mV in the presence of 1, 10, 100, and 1000 μm Ca²⁺, respectively, at the internal face of the patch. In cell-attached patches the open probability (P _o ) of BK _Ca channels was nearly zero at potentials below +80 mV, matching the activation threshold for whole-cell K⁺ currents with 10 nm Ca²⁺ in the pipette. Application of 20 μm cytochalasin D increased P _o of BK _Ca channels in cell-attached patches within minutes. These data suggest that the activation of BK _Ca channels in meningioma cells does not only depend on voltage and internal Ca²⁺ but is also controlled by the cytoskeleton. Received 18 June 1999/Revised: 18 January 2000     

Properties of voltage-gated potassium currents of microglia differentiated with granulocyte/macrophage colony-stimulating factor

Voltage-gated whole-cell currents were recorded from cultured microglial cells which had been developed in the presence of the macrophage/microglial growth factor granulocyte/macrophage colony-stimulating factor. Outward K⁺ currents (I _K) were most prominent in these cells. I _Kcould be activated at potentials more positive than –40 mV. Half-maximal activation of I _Kwas achieved at –13.8 mV and half-maximal inactivation of I _Kwas determined at –33.8 mV. The recovery of I _Kfrom inactivation was described by a time constant of 7.9 sec. For a tenfold change in extracellular K⁺ concentration the reversal potential of I _Kshifted by 54 mV.Extracellularly applied 10 mm tetraethylammonium chloride reduced I _K by about 50%, while 5 mm 4-aminopyridine almost completely abolished I _K. Several divalent cations (Ba²⁺, Cd²⁺, Co²⁺, Zn²⁺) reduced current amplitudes and shifted the activation curve of I _Kto more positive values. Charybdotoxin (IC₅₀ = 1.14 nm) and noxiustoxin (IC₅₀=0.89 nm) blocked I _Kin a concentration-dependent manner, whereas dendrotoxin and mast cell degranulating peptide had no effect on the current amplitudes.     

l-Arginine Effects on Na+ Transport in M-1 Mouse Cortical Collecting Duct Cells—A Cationic Amino Acid Absorbing Epithelium

The effect of l-arginine on transepithelial ion transport was examined in cultured M-1 mouse renal cortical collecting duct (CCD) cells using continuous short circuit current (I _SC ) measurements in HCO₃ ⁻/CO₂ buffered solution. Steady state I _SC averaged 73.8 ± 3.2 μA/cm² (n= 126) and was reduced by 94 ± 0.6% (n= 16) by the apical addition of 100 μm amiloride. This confirms that the predominant electrogenic ion transport in M-1 cells is Na⁺ absorption via the epithelial sodium channel (ENaC). Experiments using the cationic amino acid l-lysine (radiolabeled) as a stable arginine analogue show that the combined activity of an apical system y⁺ and a basal amino acid transport system y⁺L are responsible for most cationic amino acid transport across M-1 cells. Together they generate net absorptive cationic amino acid flux. Application of l-arginine (10 mm) either apically or basolaterally induced a transient peak increase in I _SC averaging 36.6 ± 5.4 μA/cm² (n= 19) and 32.0 ± 7.2 μA/cm² (n= 8), respectively. The response was preserved in the absence of bath Cl⁻ (n= 4), but was abolished either in the absence of apical Na⁺ (n= 4) or by apical addition of 100 μm amiloride (n= 6). l-lysine, which cannot serve as a precursor of NO, caused a response similar to that of l-arginine (n= 4); neither L-NMMA (100 μm; n= 3) nor L-NAME (1 mm; n= 4) (both NO-synthase inhibitors) affected the I _SC response to l-arginine. The effects of arginine or lysine were replicated by alkalinization that mimicked the transient alkalinization of the bath solution upon addition of these amino acids. We conclude that in M-1 cells l-arginine stimulates Na⁺ absorption via a pH-dependent, but NO-independent mechanism. The observed net cationic amino acid absorption will counteract passive cationic amino acid leak into the CCD in the presence of electrogenic Na⁺ transport, consistent with reports of stimulated expression of Na⁺ and cationic amino acid transporters by aldosterone. Received: 11 September 2000/Revised: 6 December 2000     

pH i -Dependent membrane conductance of proximal tubule cells in culture (OK): Differential effects on K+- and Na+-conductive channels

Summary Confluent monolayers of the established opossum kidney cell line were exposed to NH₄Cl pulses (20 mmol/liter) during continuous intracellular measurements of pH, membrane potential (PD _m ) and membrane resistance (R _m) in bicarbonate-free Ringer. The removal of extracellular NH₄Cl leads to an intracellular acidification from a control value of 7.33±0.08 to 6.47±0.03 (n=7). This inhibits the absolute K conductance (g _K+), reflected by a decrease of K⁺ transference number from 71±3% (n=28) to 26±6% (n=5), a 2.6±0.2-fold rise ofR _m, and a depolarization by 24.2±1.5 mV (n=52). In contrast, intracellular acidification during a block ofg _K+ by 3 mmol/liter BaCl₂ enhances the total membrane conductance, being shown byR _m decrease to 68±7% of control and cell membrane depolarization by 9.8±2.8 mV (n=17). Conversely, intracellular alkalinization under barium elevatesR _m and hyperpolarizes PD _m . The replacement of extracellular sodium by choline in the presence of BaCl₂ significantly hyperpolarizes PD _m and increasesR _m, indicating the presence of a sodium conductance. This conductance is not inhibited by 10^–4 mol/liter amiloride (n=7). Patch-clamp studies at the apical membrane (excised inside-out configuration) revealed two Na⁺-conductive channels with 18.8±1.4 pS (n=10) and 146 pS single-channel conductance. Both channels are inwardly rectifying and highly selective towards Cl^–. The low-conductive channel is 4.8 times more permeable for Na⁺ than for K⁺. Its open probability rises at depolarizing potentials and is dependent on the pH of the membrane inside (higher at pH 6.5 than at pH 7.8).     

Different arachidonate and palmitate binding capacities of the human red cell membrane

Human red cell membrane bindings of arachidonate and palmitate at pH 7.3 are investigated at temperatures between 0 and 38°C by equilibrating ghosts with the long-chain fatty acids bound to bovine serum albumin in molar ratios (v) within the physiological range (<1.7). Linearized relations of ghost uptakes and fatty acid monomer concentrations in buffer provide estimates of the binding capacities and corresponding equilibrium dissociation constants (K _dm ). The temperature-independent arachidonate binding capacity, 5.5 ± 0.5 nmol g^–1 packed ghosts, is approximately fivefold smaller than that of palmitate, 26.6 ± 2.0 nmol g^–1. While K _dm of arachidonate binding 5.1 ± 0.5 nm is temperature independent, K _dm of palmitate increases with temperature from 3.7 nm at 0°C to 12.7 nm at 38°C.The large difference in binding capacities suggests the presence of at least two different fatty acid binding domains in human red cell membranes.     

Leaf expansion and carbon assimilation in cotton leaves grown at two photosynthetic photon flux densities

Increasing photosynthetic photon flux density (PPFD) received during development from 5.5 to 31.2 mol m^-2 d^-1 resulted in greater leaf and mesophyll cell surface areas in cotton (Gossypium hirsutum L.). The relationships between the amounts of these surface areas and potential CO₂ assimilation by these leaves were evaluated. Leaf area (epidermal surface area of one side of a leaf), mesophyll cell surface area, and net rate of CO₂ uptake (P_n) were measured from the time leaves first unfolded until P., was substantially reduced. At the higher PPFD, leaf and mesophyll surface areas increased more rapidly during expansion, and P_n per unit leaf area was greater than at the lower PPFD. Although leaves at the higher PPFD reached the maximum P., per unit mesophyll cell surface area 4 to 5 days earlier than leaves at the lower PPFD, the maxima for these P., were similar. Leaves grown at the higher PPFD had the potential to assimilate 2.2, 3.5, or 5.8 times the amount of CO₂ as leaves from the lower PPFD when P., was expressed per unit mesophyll surface, per unit leaf surface, or per whole leaf, respectively. Greater and earlier development of both P., and mesophyll cell surface area at higher PPFD apparently had a compounding effect on the potential for carbon assimilation by a leaf.     

Comparative study of the effects of cromakalim (BRL 34915) and diazoxide on membrane potential, [Ca2+] i and ATP-sensitive potassium currents in insulin-secreting cells

Summary Patch-clamp and single cell [Ca²⁺] _i measurements have been used to investigate the effects of the potassium channel modulators cromakalim, diazoxide and tolbutamide on the insulin-secreting cell line RINm5F. In intact cells, with an average cellular transmembrane potential of –62±2 mV (n=42) and an average basal [Ca²⁺] _i of 102±6nm (n=37), glucose (2.5–10mm): (i) depolarized the membrane, through a decrease in the outward K_ATP current, (ii) evoked Ca²⁺ spike potentials, and (iii) caused a sharp rise in [Ca²⁺] _i . In the continued presence of glucose both cromakalim (100–200 m) and diazoxide (100 m) repolarized the membrane, terminated Ca²⁺ spike potentials and attenuated the secretagogue-induced rise in [Ca²⁺] _i . In whole cells (voltage-clamp records) and excised outside-out membrane patches, both cromakalim and diazoxide enhanced the current by opening ATP-sensitive K⁺ channels. Diazoxide was consistently found to be more potent than cromakalim. Tolbutamide, a specific inhibitor of ATP-sensitive K⁺ channels, reversed the effects of cromakalim on membrane potential and K_ATP currents.