Chapter 14 Reaction-Kinetic Analysis of Current-Voltage Relationships for Electrogenic Pumps in Neurospora and Acetabularia

Impedance of the electrogenic Cl(-) pump inAcetabularia: Electrical frequency entrainements, voltage-sensitivity, and reaction kinetic interpretation

Reaction kinetic analysis of the electrical properties of the electrogenic Cl(-) pump inAcetabularia has been extended from steady-state to nonsteady-state conditions: electrical frequency responses of theAcetabularia membrane have been measured over the range from 1 Hz to 10 kHz at transmembrane potential differences across the plasmalemma (V m ) between -70 and -240 mV using voltage-clamp techniques. The results are well described by an electrical equivalent circuit with three parallel limbs: a conventional membrane capacitancec m , a steadystate conductanceg o (predominantly of the pump pathway plus a minor passive ion conductance) and a conductanceg s in series with a capacitancec p which are peculiar to the temporal behavior of the pump. The absolute values and voltage sensitivities of these four elements have been determined:c m of about 8 mF m(-2) turned out to be voltage insensitive; it is considered to be normal.g o is voltage sensitive and displays a peak of about 80 S m(-2) around -180 mV. Voltage sensitivity ofg s could not be documented due to large scatter ofg s (around 80 S m(-2)).c p behaved voltage sensitive with a notch of about 20 mF m(-2) around -180 mV, a peak of about 40 mF m(-2) at -120 mV and vanishing at -70 mV. When these data are compared with the predictions of nonsteady-state electrical properties of charge transport systems (U.-P. Hansen, J. Tittor, D. Gradmann, 1983,J. Membrane Biol. in press), model "A" (redistribution of states within the reaction cycle) consistently provides magnitude and voltage sensitivity of the elementsg o ,g s andc p of the equivalent circuit, when known kinetic parameters of the pump are used for the calculations. This analysis results in a density of pump elements in theAcetabularia plasmalemma of about 50 nmol m(-2). The dominating rate constants for the redistribution of the individual states of the pump in the electric field turn out to be in the range of 500 sec(-1), under normal conditions.

Fast, triangular voltage clamp for recording and kinetic analysis of an ion transporter expressed in Xenopus oocytes

We present a procedure for determination of 11 system parameters of an ion transporter expressed in Xenopus oocytes. The experiments consist of fast triangular voltage-clamp experiments in the presence and absence of external substrate. A four-state enzymatic cycle operating between an external and an internal section of electrodiffusion is used for analysis. The explicit example treats experiments with the fungal 2H+-NO3- symporter EnNRT, a member of the major superfamily transporters. The results comprise a density of approximately 150 fmol functional transporter molecules per oocyte, a gross charge number z(E) approximately -0.3 of the empty binding site of the enzyme, individual rate constants for reorientation of the empty and occupied binding site in the range of 5-500 s(-1), electrical access sections between bulk solutions and reaction cycle of approximately 3% inside and 15% outside, an increase of internal NO3- at the plasma membrane from approximately 0.5 to approximately 2 mM during exposure to external NO3-, and K(D) approximately 0.3 microM3 inside and K(D) approximately 3 microM3 outside in binding the triplicate substrate (2H+ +NO3-). The results compare well with the known structure of the lactose permease, another major superfamily transporter.

A vacuolar ATPase and pyrophosphatase in Acetabularia acetabulum

Vacuole-rich fractions were isolated from Acetabularia acetabulum by Ficoll step gradient centrifugation. The tonoplast-rich vesicles showed ATP-dependent and pyrophosphate-dependent H(+)-transport activities. ATP-dependent H(+)-transport and ATPase activity were both inhibited by the addition of a specific inhibitor of vacuolar ATPase, bafilomycin B1. A 66 kDa polypeptide present in the preparation cross-reacted with the anti-IgG fractions against the alpha and beta subunits of Halobacterium halobium ATPase and with the antibody against the A subunit (68 kDa subunit) of mung bean vacuolar ATPase. A 56 kDa polypeptide present in the vacuole preparation showed cross-reactivity with the antibody against the B subunit (57 kDa) of mung bean vacuolar ATPase but not with the anti-beta subunit of H. halobium ATPase. A 73 kDa polypeptide cross-reacted with the antibody against inorganic pyrophosphatase of mung bean vacuoles. These results suggest that vacuolar membrane of A. acetabulum equipped energy transducing systems similar to those found in other plant vacuoles.

Characterization of Cl- transport in vacuolar membrane vesicles using a Cl(-)-sensitive fluorescent probe: reaction kinetic models for voltage- and concentration-dependence of Cl- flux

The effects of Cl- concentration and membrane potential (delta psi) on Cl- influx in isolated vesicles of vacuolar membrane (tonoplast) from red beet (Beta vulgaris L.) storage tissue have been characterized using the Cl(-)-sensitive fluorescent probe, 6-methoxy-1-(3-sulfonatopropyl)quinolinium (SPQ). The initial rate of Cl- transport into the vesicles was enhanced both by the imposition of a positive delta psi and by increases in extravesicular Cl- concentration. The kinetic mechanism underlying these responses was investigated by examining the accuracy with which the data could be described by several transport models. A model based on constant field theory yielded a poor description of the data, but satisfactory fits were generated by pseudo-two-state reaction kinetic models based on classical carrier schemes. Fits were equally good when it was assumed that charge translocation accompanied Cl- entry, or when charge was carried by the unloaded transport system, as long as only a single charge is translocated in each carrier cycle. Expansion of the models to three states enabled description of the Cl- concentration dependence of transport by changes in a single, voltage insensitive rate constant which is tentatively identified with Cl- binding at the external surface of the membrane. The derived value of the dissociation constant between Cl- and the transport system is estimated at between 30 and 52 mM.

Voltage dependence of the Chara proton pump revealed by current-voltage measurement during rapid metabolic blockade with cyanide

It is generally agreed that solute transport across the Chara plasma membrane is energized by a proton electrochemical gradient maintained by an H(+)-extruding ATPase. Nonetheless, as deduced from steady-state current-voltage (I-V) measurements, the kinetic and thermodynamic constraints on H(+)-ATPase function remain in dispute. Uncertainties necessarily surround long-term effects of the relatively nonspecific antagonists used in the past; but a second, and potentially more serious problem has sprung from the custom of subtracting, across the voltage spectrum, currents recorded following pump inhibition from currents measured in the control. This practice must fail to yield the true I-V profile for the pump when treatments alter the thermodynamic pressure on transport. We have reviewed these issues, using rapid metabolic blockade with cyanide and fitting the resultant whole-cell I-V and difference-current-voltage (dI-V) relations to a reaction kinetic model for the pump and parallel, ensemble leak. Measurements were carried out after blocking excitation with LaCl3, so that steady-state currents could be recorded under voltage clamp between -400 and +100 mV. Exposures to 1 mM NaCN (CN) and 0.4 mM salicylhydroxamic acid (SHAM) depolarized (positive-going) Chara membrane potentials by 44-112 mV with a mean half time of 5.4 +/- 0.8 sec (n = 13). ATP contents, which were followed in parallel experiments, decayed coincidently with a mean half time of 5.3 +/- 0.9 sec [( ATP]t = 0, 0.74 +/- 0.3 mM; [ATP]t = infinity, 0.23 +/- 0.02 mM). Current-voltage response to metabolic blockade was described quantitatively in context of these changes in ATP content and the consequent reduction in pump turnover rate accompanied by variable declines in ensemble leak conductance. Analyses of dI-V curves (+/- CN + SHAM) as well as of families of I-V curves taken at times during CN + SHAM exposures indicated a stoichiometry for the pump of one charge (H+) transported per ATP hydrolyzed and an equilibrium potential near -420 mV at neutral external pH; under these conditions, the pump accounted for approximately 60-75% of the total membrane conductance near Vm. Complementary results were obtained also in fitting previously published I-V data gathered over the external pH range 4.5-7.5. Kinetic features deduced for the pump were dominated by a slow step preceding H+ unloading outside, and by recycling and loading steps on the inside which were in rapid equilibrium.(ABSTRACT TRUNCATED AT 400 WORDS)

A Cl(-)-translocating adenosinetriphosphatase in Acetabularia acetabulum. 2. Reconstitution of the enzyme into liposomes and effect of net charges of liposomes on chloride permeability and reconstitution

The Mono Q-III fraction, a Mg2(+)-ATPase, isolated from Acetabularia acetabulum was reconstituted into liposomes of various net charges prepared by the reversed-phase method and tested for a Cl(-)-translocating activity. The liposomes from a mixture of egg lecithin, dicetyl phosphate, and cholesterol (63:18:9 mole ratio, negative liposomes) and from a mixture of egg lecithin and cholesterol (63:9 mole ratio, neutral liposomes) were less leaky than positive liposomes from asolectin, and from a mixture of egg lecithin, stearylamine, and cholesterol (63:18:9 mole ratio). A significant increase in 36Cl- efflux from the negative and neutral liposomes was observed by addition of ATP in the presence of valinomycin after incorporation of the enzyme by short-term dialysis. The ATP-driven 36Cl- efflux was inhibited by addition of azide, an inhibitor of the ATPase. The preincubation of the enzyme with phenylglyoxal, an arginine-modifying reagent, inactivated ATP-mediated 36Cl- efflux, but the ATPase activity of the preparation was not affected. When chloride was replaced by 35SO4(2)-, no ATP-dependent 35SO4(2)- efflux was detectable from the proteoliposomes. Proton-translocating activity of the enzyme was also tested, and no fluorescent quenching of 9-ACMA was observed.

A Cl(-)-translocating adenosinetriphosphatase in Acetabularia acetabulum. 1. Purification and characterization of a novel type of adenosinetriphosphatase that differs from chloroplast F1 adenosinetriphosphatase

ATPases were solubilized from membranes of Acetabularia acetabulum using nonanoyl-N-methylgluconamide and purified by ion-exchange and gel permeation chromatography. Three fractions of ATPase, Mono Q-I, -II, and -III, were separated. Activity in fraction Mono Q-I was very labile and could not be accurately determined. Fractions Mono Q-II and -III had specific activities of 0.6 and 6 units/mg of protein, respectively. By SDS-polyacrylamide gel electrophoresis, isoelectric focusing, and peptide mapping, it was shown that fractions Mono Q-II and -III consisted of the same polypeptides with molecular masses of 54K (a-subunit) and 50K (b-subunit). Fractions Mono Q-II and -III had the following catalytic properties: pH optimum at 6.0; substrate specificity, ATP = GTP = ITP much greater than UTP = CTP (Km for ATP 0.6 mM); divalent cation requirement, Mn2+ = Mg2+ greater than Co2+ greater than Zn2+ much greater than Ca2+, Ni2+. Both activities were inhibited by monovalent anions, while monovalent cations had neither inhibitory nor stimulatory effects. Orthovanadate inhibited both activities to 50% at 1 mM, and the most effective inhibitor of both was azide (95% inhibition at 100 microM). An enzyme-phosphate complex was formed after incubation of fraction Mono Q-III with [gamma-32P]ATP. The CF1-ATPase subcomplexes were isolated from the same organism and compared with the fraction Mono Q-III. Data supported the difference of fraction Mono Q-III from CF1-ATPase.

Kinetin-induced stimulation of electrogenic pumping in soybean suspension cultures is unrelated to signal transduction

Primary modes of action of cytokinins have been thought to involve stimulation of the electrogenic H(+) pump and-or opening of plasmamembrane Ca(2+) channels. In order to test these hypotheses, rapid changes in membrane transport in response to cytokinin application were studied in heterotrophic suspension-cultured callus of soybean (Glycine max (L.) Merr.) using electrophysiological techniques. Kinetin (N(6)-furfurylaminopurine; 2 μM) elicited membrane hyperpolarization of 13±1 mV. This effect occurred even at membrane poteintials more negative than the most negative ionic equilibrium potential, and therefore might have resulted either from stimulation of the electrogenic pump, or from closure of ionic channels. The former mechanism of action appears most likely because (i) kinetin-induced membrane hyperpolarization is not accompanied by a significant change in plasma-membrane resistivity and (ii) hyperpolarization is abolished by cyanide, which inhibits electrogenic pump activity by depletion of cellular ATP.Electrogenic pumping is also activated by two other cytokinins: N(6)-(benzyl)adenine and trans-zeatin. However, it is unlikely that the hormonal effect on electrogenesis is directly related to transduction of the cytokinin signal, for the following reasons: (i) hormonally inactive, but chemically related compounds (cis-zeatin, adenine) also elicited membrane hyperpolarization; (ii) hormonally active, N(9)-substituted cytokinins failed to stimulate electrogenesis; (iii) the chemically unrelated cytokinin N,N'-diphenylurea also failed to stimulate electrogenesis.The results imply that the kinetin effect on electrogenic pumping is related to adenine, or its metabolism, and not hormonal action. Adenine was absorbed by soybean cells, but not in sufficient quantities to have a significant effect on adeninenucleotide pools. It appears likely that the control of electrogenesis requires either the presence of a purine free base (i.e. no substituents at the N(9) position) or phosphoribosylation of the free base. No evidence was found for cytokinin-induced Ca(2+)-channel opening, though it is argued that such an event might be physiologically relevant, yet undetectable with the methods employed. It is essential that future studies on cytokinin signal transduction - especially as they relate to membrane transport - take into account the possibility that metabolic effects unrelated to hormone action are dominant.

Electrical properties of soybean plasma membrane measured in heterotrophic suspension callus

Previous work on heterotrophic suspension-cultured cells has failed to detect the electrogenic processes normally associated with the plasma membranes of non-animal cells. This study reports measurements on heterotrophic cells from soybean (Glycine max L.) suspension cultures, which are shown to be amenable to impalement with microelectrodes. The plasma membrane clearly exhibits fundamental characteristics which are common to many other plant cell types: (i) a resting membrane potential significantly more negative than-100mV (measured value:121±4mV); (ii) obvious electrogenic activity, as evidenced by the marked depolarization of the membrane (87±6mV) by cyanide, and by the fact the membrane potential was frequently more negative than the equilibrium potential for K(+); (iii) a finite permeability to K(+) ions; (iv) electrophoretic transport of glucose. The development of a recording medium consisting primarily of 1:5 diluted growth medium was critical for successful impalement of these cells. It is proposed that the novel identification of electrogenic processes in heterotrophic suspension-cultured cells results from the deployment of electrodes with relatively dilute filling solutions, thus avoiding substantial changes in intracellular ion concentrations.The overwhelming majority of cells in soybean suspension cultures exist in small clusters, and the possibility of intercellular coupling potentially precludes assessment of membrane specific resistance and current density. Furthermore, as with most higher-plant cells, the vacuole occupies a large fraction of the intracellular volume. However, a model in which the measuring electrode is cytosolically located and the cells are electrically well-coupled is the only one which satisfactorily generates values for membrane specific resistance in a manner which is not strongly dependent on the number of cells in the cluster: other models in which the electrode tip is located in the vacuole and-or the impaled cell is electrically isolated from the others do not seem to apply. The measured values of membrane specific resistance are in the range 5.4 to 8.4 ω·m(2), which is in excellent agreement with comparable measurements on other plant and fungal cells. The results are discussed with respect to mechanisms of transmembrane signalling in soybean, as well as to general electrophysiological studies on higher-plant cells in suspension culture and in tissues.

Mobile charges in the cell membranes ofHalicystis parvula

Charge-pulse experiments were performed on cells of the giant marine algaHalicystis parvula. At normal pH (8.2), the voltage decay following a charge-pulse of 500 ns duration fed to the vacuole could be described by summing two exponential relaxations. The amplitudes and time constants of these relaxations were widely separated. The parameters of the two relaxation processes were found to be pH-dependent. Reduction of the external pH value from pH 8.2 to 5 resulted in a complete change of the two relaxation processes within a few minutes. Only one relaxation process could be observed at pH 5, within the time resolution of our instrumentation. The experimental data could not be explained by a two-membrane model with reasonable values for the specific capacitances of tonoplast and plasmalemma. The results of the charge-pulse relaxations were found to be consistent with the assumption that both membranes have very similar electrical properties and that both contain mobile charges with a total surface concentration of about 30 nmol·m(-2) and a translocation-rate constant of about 500·s(-1). The mobile charges became neutralized at pH 5 hhich led to a decrease of the apparent specific capacitance of the algal cells. They are presumably either part of a transport system for cations or connected with the chloride pump ofHalicystis parvula.

Mechanisms of fusicoccin action: A dominant role for secondary transport in a higher-plant cell

Fusicoccin (FC) is commonly thought to promote "electrogenic" H(+) extrusion through its action on the H(+)-ATPase of the plant plasma membrane. Nonetheless, essential support from rigorous electrophysiological analysis has remained largely absent. The present investigation surveys the effects of FC on the charge transport properties at the membrane of a higher-plant cell - stomatal guard cells of Vicia faba L. - for which the electrical geometry is defined, and from which the voltage-dependent kinetic characteristic for the pump has been identified. Current-voltage (I-V) relations of the guard cells were determined before and during treatments with FC, and during brief exposures to NaCN plus salicylhydroxamic acid. Responses of the pump and of the ensemble of secondary transport processes were identified in the whole-membrane conductance-voltage relations and in the difference-current-voltage (dI-V) characteristic for the pump. In 0.1 mM K(+), exposure to 10 μM FC shifted guard-cell potentials negative by 29-61 mV. Current-and conductance-voltage profiles indicated limited changes in the pump I-V characteristic, an observation which was confirmed through explicit kinetic analysis of pump dI-V relations. However, the voltage response was accompanied by a 1.5-to 2.6-fold fall in membrane conductance. These results challenge conventional views of fusicoccin action by ascribing the electrical responses to reduced current passage through secondary transport pathways as well as to enhanced electrogenic ion pumping.

Potassium-proton symport in Neurospora: kinetic control by pH and membrane potential

Active transport of potassium in K+-starved Neurospora was previously shown to resemble closely potassium uptake in yeast, Chlorella, and higher plants, for which K+ pumps or K+/H+-ATPases had been proposed. For Neurospora, however, potassium-proton cotransport was demonstrated to operate, with a coupling ratio of 1 H+ to 1 K+ taken inward so that K+, but not H+, moves against its electrochemical gradient (Rodriguez-Navarro et al., J. Gen. Physiol. 87:649-674). In the present experiments, the current-voltage (I-V) characteristic of K+-H+ cotransport in spherical cells of Neurospora has been studied with a voltage-clamp technique, using difference-current methods to dissect it from other ion-transport processes in the Neurospora plasma membrane. Addition of 5-200 microM K+ to the bathing medium causes 10-150 mV depolarization of the unclamped membrane, and yields a sigmoid I-V curve with a steep slope (maximal conductance of 10-30 microS/cm2) for voltages of -300 to -100 mV, i.e., in the normal physiologic range. Outside that range the apparent I-V curve of the K+-H+ symport saturates for both hyperpolarization and depolarization. It fails to cross the voltage axis at its predicted reversal potential, however, an effect which can be attributed to failure of the I-V difference method under reversing conditions. In the absence of voltage clamping, inhibitors-such as cyanide or vanadate-which block the primary proton pump in Neurospora also promptly inhibit K+ transport and K+-H+ currents. But when voltage clamping is used to offset the depolarizing effects of pump blockade, the inhibitors have no immediate effect on K+-H+ currents. Thus, the inhibition of K+ transport usually observed with these agents reflects the kinetic effect of membrane depolarization rather than any direct chemical action or the cotransport system itself. Detailed study of the effects of [K+]o and pHo on the I-V curve for K+-H+ symport has revealed that increasing membrane potential systematically decreases the apparent affinity of the transporter for K+, but increases affinity for protons (Km range: for [K+]o, 15-45 microM; for [H+]o, 10-35 nM). This behavior is consistent with two distinct reaction-kinetic models, in which (i) a neutral carrier binds K+ first and H+ last in the forward direction of transport, or (ii) a negatively charged carrier (-2) binds H+ first and K+ last.

Ion-transporting properties and ATPase activity of (Na+ + K+)-ATPase large subunit incorporated into bilayer lipid membranes

A purified (Na+ + K+)-ATPase large subunit obtained from microsomes by water-alcohol extraction was incorporated into a bilayer lipid membrane. The protein formed in the membrane conductance channels which were sensitive to ouabain and selective for monovalent cations. ATP activated these channels in the presence of sodium and potassium ions. When sodium ions were eliminated ATP did not change the conductance of the modified membrane whereas p-nitrophenyl phosphate increased it. The (Na+ + K+)-ATPase large subunit incorporated into bilayer lipid membrane possessed an ATPase activity. The presence of a potential on the membrane was a necessary condition for the enzyme incorporated into a bilayer lipid membrane to show high ATPase activity. Increasing the potential above 100 mV resulted in the closing of conductance channels.

Interpretation of steady-state current-voltage curves: consequences and implications of current subtraction in transport studies

A problem often confronted in analyses of charge-carrying transport processes in vivo lies in identifying porter-specific component currents and their dependence on membrane potential. Frequently, current-voltage (I-V)--or more precisely, difference-current-voltage (dI-V)--relations, both for primary and for secondary transport processes, have been extracted from the overall membrane current-voltage profiles by subtracting currents measured before and after experimental manipulations expected to alter the porter characteristics only. This paper examines the consequences of current subtraction within the context of a generalized kinetic carrier model for Class I transport mechanisms (U.-P. Hansen, D. Gradmann, D. Sanders and C.L. Slayman, 1981, J. Membrane Biol. 63:165-190). Attention is focused primarily on dI-V profiles associated with ion-driven secondary transport for which external solute concentrations usually serve as the experimental variable, but precisely analogous results and the same conclusions are indicated in relation to studies of primary electrogenesis. The model comprises a single transport loop linking n (3 or more) discrete states of a carrier 'molecule.' State transitions include one membrane charge-transport step and one solute-binding step. Fundamental properties of dI-V relations are derived analytically for all n-state formulations by analogy to common experimental designs. Additional features are revealed through analysis of a "reduced" 2-state empirical form, and numerical examples, computed using this and a "minimum" 4-state formulation, illustrate dI-V curves under principle limiting conditions. Class I models generate a wide range of dI-V profiles which can accommodate essentially all of the data now extant for primary and secondary transport systems, including difference current relations showing regions of negative slope conductance. The particular features exhibited by the curves depend on the relative magnitudes and orderings of reaction rate constants within the transport loop. Two distinct classes of dI-V curves result which reflect the relative rates of membrane charge transit and carrier recycling steps. Also evident in difference current relations are contributions from 'hidden' carrier states not directly associated with charge translocation in circumstances which can give rise to observations of counterflow or exchange diffusion. Conductance-voltage relations provide a semi-quantitative means to obtaining pairs of empirical rate parameters.(ABSTRACT TRUNCATED AT 400 WORDS)

Potassium channels in Eremosphaera viridis : II. Current- and voltage-clamp experiments

To characterize the assumed potassium channels in the plasma membrane of the green alga Eremosphaera viridis (Köhler et al. 1985), current-voltage (I/V)-curves under resting conditions and during an action-potential-like response (CAP) were constructed using voltage- and current-clamp techniques. Under resting conditions the I/V-curves of Eremosphaera showed a distinct upward bending when approaching zero mV, a nearly straight line in the medium part and a downward bending during strong hyperpolarization. Measurements in light and darkness frequently displayed a parallel shift of the I/V-curve in the middle part, indicating a current source which is slowed down by light-off. Using the voltage-clamp technique, N-shaped I/V-curves were sometimes observed. The potassium concentration outside influenced the downward-bending part of the I/V-curve whereas the tetraethylammonium cation, known to block potassium channels, reduced the upward-bending part in particular. A change in external pH, either to pH 7 or pH 3.1 from a standard pH 5.5, caused an increase in conductivity. Chemically induced action potentials were released in Eremosphaera under voltage-clamp conditions by light-off and there was both a current flow and an increase in conductivity during the CAP. Clamping the membrane potential at a value more negative than Nernst potential of potassium revealed an inward current, whereas clamping at a more-positive value revealed an outward current. The experiments demonstrate that there is no threshold potential in releasing a CAP. The I/V-curves performed under current clamp at the peak of CAP verify a previously found increased conductivity with hyper- or depolarization depending on the external potassium concentration. These experiments provide further evidence that in Eremosphaera potassium channels are involved in the CAP caused by a light-off signal. Additional experiments indicate that after light-off a transient acidification of the cytoplasm takes place in correlation with the CAP and the opening of potassium channels. A preliminary "battery model" is discussed to understand the role of potassium channels during a CAP in pH-regulation of the cytoplasm.

Electrical properties of the vertically growing root tip of Lepidium sativum L

Electrical transmembrane potential differences and resistances in different tissues of intact root tips of Lepidium sativum L. were investigated in a humid atmosphere by conventional glass-microelectrode techniques with the reference electrode at the surface (apoplast) of the root. The resting potential (inside negative) in cells of the root cap rose from-80 mV in external cell layers (secretion cells) to approx.-140 mV in central cells (statocytes). Measurements of the electric input resistance within the apoplast of the root tip (calyptra, meristem and elongation zone) yielded a preference for longitudinal contact (resistance per length of tissue approx. 3.4 GOhm m(-1)) compared with transversal contact (approx. 14 GOhm m(-1)). Similarly, the symplastic coupling expressed as the characteristic length (L) where a signal is reduced to 1/c compared with the origin yielded L y =390 μm in the longitudinal (y) direction and L x =140 μm in the transversal (x) direction. Cable analytical treatment of the symplastic input resistances (approx. 10 MOhm) resulted in low membrane resistances in the y-direction at the ends of cells compared with the membrane resistances in the x-direction (approx. 0.2 Ohm m(2)) of the lateral membranes in the approximately cylindrical cells. This anisotropy is discussed in terms of model calculations. The resistivity of the symplast was calculated to be about 2.5 Ohm m. The input current-voltage relationship displayed a slight curvature with increasing slope for the more negative membrane potential typical of membranes with electrogenic pumps. Even after massive electrical stimulation in the range from-50 to-150mV carried out to trace current-voltage curves, electrical excitations (action potentials) were not detected in the cells investigated.

Current generated by backward-running electrogenic Na pump in squid giant axons

The sodium pump of animal cells is electrogenic, that is, it normally exports more sodium ions than it imports potassium ions. In the squid giant axon, the resulting net outward electric current has a density of a few microA cm-2, and contributes 1-2 mV to the resting membrane potential. The pump is driven by the free energy of hydrolysis of ATP, and in some instances it has been possible to run the pump backwards and synthesize ATP by lowering the [ATP]/[ADP] X [Pi] ratio and steepening the transmembrane Na+ and K+ gradients. Here we have examined the question of whether a backward-running sodium pump conserves its Na+/K+ greater than 1 stoichiometry. We demonstrate reversal of the sodium pump of squid giant axon, and find that backward pumping indeed produces a net inward electric current. This current is voltage-sensitive. Our observations have mechanistic implications for models of the sodium pump.

Electrical and biochemical properties of an enzyme model of the sodium pump

The electrochemical properties of a widely accepted six-step reaction scheme for the Na+, K+-ATPase have been studied by computer simulation. Rate coefficients were chosen to fit the nonvectorial biochemical data for the isolated enzyme and a current-voltage (I-V) relation consistent with physiological observations was obtained with voltage dependence restricted to one (but not both) of the two translocational steps. The vectorial properties resulting from these choices were consistent with physiological activation of the electrogenic sodium pump by intracellular and extracellular sodium (Na+) and potassium (K+) ions. The model exhibited K+/K+ exchange but little Na+/Na+ exchange unless the energy available from the splitting of adenosine triphosphate (ATP) was reduced, mimicking the behavior seen in squid giant axon. The vectorial ionic activation curves were voltage dependent, resulting in large shifts in apparent Km's with depolarization. At potentials more negative than the equilibrium or reversal potential transport was greatly diminished unless the free energy of ATP splitting was reduced. While the pump reversal potential is at least 100 mV hyperpolarized relative to the resting potential of most cells, the voltage-dependent distribution of intermediate forms of the enzyme allows the possibility of considerable slope conductance of the pump I-V relation in the physiological range of membrane potentials. Some of the vectorial properties of an electrogenic sodium pump appear to be inescapable consequences of the nonvectorial properties of the isolated enzyme. Future application of this approach should allow rigorous quantitative testing of interpretative ideas concerning the mechanism and stoichiometry of the sodium pump.

Electrogenic Cl- pump in Acetabularia

Measurements of this transmembrane potential difference (V) under various conditions have demonstrated the operation of an electrogenic Cl- pump in the outer plasma membrane (plasmalemma) of the unicellular marine alga Acetabularia. In preparations of partly purified membranes (containing plasmalemma), there is Cl- stimulated, N,N'-dicyclohexylcarbodiimide-insensitive, vanadate-sensitive ATPase activity with a pH optimum around pH 6.5. These properties are consistent with the assumption that the electrogenic Cl- pump is an ATPase. In order to investigate electrical details of the "Mitchellian" type of charge-translocating enzyme, steady-state current-voltage curves of the electrogenic pump (Ip(V)) were measured in vivo under dark and light conditions and analysed by two-state reaction kinetic model. This model with the resulting parameters predicts V-sensitive, undirectional Cl- effluxes through the pump. The predictions of this model agree with the experimental results. Green light causes a fast decrease of V, which is explained as a disturbance of the pump cycle. Relaxation studies on this effect and reaction kinetic analysis of Ip(V) under different external Cl- concentrations are used to develop a consistent three-state model of the pump that includes the order of and absolute rate constants of individual reactions, states of charge, stoichiometry, voltage-sensitivity and density of the pump molecules in the membrane.