Biomedical subjects
Publications and source records attributed to D Gradmann.
In the plasmalemma of plants, the major ion transporters are voltage gated. Hence, they are intrinsically coupled via the membrane voltage. Theoretical predictions and electrophysiological recordings on guard cells demonstrate nonlinear oscillations of a dynamic system which provides long-term osmotic adjustment by switching between periods of net uptake and net release of salt, rather than by a steady-state.
The plasma membrane of the yeast Saccharomyces cerevisiae has been investigated by patch-clamp techniques, focusing upon the most conspicuous ion channel in that membrane, a K(+)-selective channel. In simple observations on inside-out patches, the channel is predominantly closed at negative membrane voltages, but opens upon polarization towards positive voltages, typically displaying long flickery openings of several hundred milliseconds, separated by long gaps (G). Elevating cytoplasmic calcium shortens the gaps but also introduces brief blocks (B, closures of 2-3 msec duration). On the assumption that the flickery open intervals constitute bursts of very brief openings and closings, below the time resolution of the recording system, analysis via the beta distribution revealed typical closed durations (interrupts, I) near 0.3 msec, and similar open durations. Overall behavior of the channel is most simply described by a kinetic model with a single open state (O), and three parallel closed states with significantly different lifetimes: long (G), short (B) and very short (I). Detailed kinetic analysis of the three open/closed transitions, particularly with varied membrane voltage and cytoplasmic calcium concentration, yielded the following stability constants for channel closure: K1 = 3.3 x e-zu in which u = eVm/kT is the reduced membrane voltage, and z is the charge number; KG = 1.9 x 10(-4) ([Ca2+].ezu)-1; and KB = 2.7 x 10(3)([Ca2+].ezu)2. Because of the antagonistic effects of both membrane voltage (Vm) and cytoplasmic calcium concentration ([Ca2+]cyt) on channel opening from the B state, compared with openings from the G state, plots of net open probability (Po) vs. either Vm or [Ca2+] are bell-shaped, approaching unity at low calcium (microM) and high voltage (+150 mV), and approaching 0.25 at high calcium (10 mM) and zero voltage. Current-voltage curves of the open channel are sigmoid vs. membrane voltage, saturating at large positive or large negative voltages; but time-averaged currents, along the rising limb of Po (in the range 0 to +150 mV, for 10 microM [Ca2+]) make this channel a strong outward rectifier. The overall properties of the channel suggest that it functions in balancing charge movements during secondary active transport in Saccharomyces.
The prime potassium channel from the tonoplast of Chara corallina has been analyzed in terms of an enzymatic kinetic model (Gradmann, Klieber & Hansen 1987, Biophys. J. 53:287) with respect to its selectivity for K+ over Rb+ and to its blockage by Cs+ and by Ca2+. The channel was investigated by patch-clamp techniques over a range of membrane voltages (Vm, referred to an extracytoplasmic electrical potential of zero) from -200 mV to +200 mV under various ionic conditions (0 to 300 mM K+, Rb+, Cs+, Ca2+, and Cl-) on the two sides of isolated patches. The experimental data are apparent steady-state current-voltage relationships under all experimental conditions used and amplitude histograms of the seemingly noisy open-channel currents in the presence of Cs+. The used model for K+ uniport comprises a reaction cycle of one binding site through four states, i.e., (1) K(+)-loaded and charged, facing the cytoplasm, (2) K(+)-loaded and charged facing the vacuole, (3) empty, facing the vacuole, and (4) empty, facing the cytoplasm. Vm enters the system in the form of a symmetric Eyring barrier between state 1 and 2. The numerical results for the individual rate constants are (in 10(6)s-1 for zero voltage and 1 M substrate concentration): k12: 1,410, k21: 3,370, k23: 105,000, k32: 10,600, k34: 194, k43: 270, k41: 5,290, k14: 15,800. For the additional presence of an alternate transportee (here Rb+), the model can be extended in an analog way by another two states ((5) Rb(+)-loaded and charged, facing cytoplasm, and (6) Rb(+)-loaded and charged, facing vacuole) and six more rate constants (k45: 300, k54: 240, k56: 498, k65: 4,510, k63: 4,070, k36: 403). This six-state model with its unique set of fourteen parameters satisfies the complete set of experimental data. If the competing substrate can be bound but not translocated (here Cs+ and Ca2+). k56 and k65 of the model are zero, and the stability constants Kcyt (= k36/k63) and Kvac (= k45/k54) turn out to be Kcyt(Ca2+): 250 M-1 x exp(Vm/(64 mV)), kvac(Ca2+): 10 M-1 x exp(-Vm/(66 mV)), Kcyt(Cs+): 0, and Kvac(Cs+): 46 M-2 x exp(-Vm/(12.25 mV)).(ABSTRACT TRUNCATED AT 400 WORDS)
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Ion channels in both the tonoplast and the plasma membrane of Saccharomyces cerevisiae have been characterized at the single channel level by patch-clamp techniques. The predominant tonoplast channel is cation selective, has an open-channel conductance of 120 pS in 100 mM KCl, and conducts Na+ or K+ equally well, and Ca2+ to a lesser extent. Its open probability (Po) is voltage-dependent, peaking at about -80 mV (cytoplasm negative), and falling to near zero at +80 mV. Elevated cytoplasmic Ca2+, alkaline cytoplasmic pH, and reducing agents activate the channel. The predominant plasma membrane channel is highly selective for K+ over anions and other cations, and shows strong outward rectification of the time-averaged current-voltage curves in cell-attached experiments. In isolated inside-out patches with micromolar cytoplasmic Ca2+, this channel is activated by positive going membrane voltages: mean Po is zero at negative membrane voltages and near unity at 100 mV. At moderate positive membrane voltages (20-40 mV), elevating cytoplasmic Ca2+ activates the channel to open in bursts of several hundred milliseconds duration. At higher positive membrane voltages, however, elevating cytoplasmic Ca2+ blocks the channel in a voltage-dependent fashion for periods of 2-3 ms. The frequency of these blocking events depends on cytoplasmic Ca2+ and membrane voltage according to second-order kinetics. Alternative cations, such as Mg2+ or Na+, block the yeast plasma-membrane K+ channel in a similar but less pronounced manner.
White light (25 watts per square meter) induced an increase in plasma membrane K(+)-channel activity and a 30- to 70-millivolt transient membrane depolarization (completed in 2-3 minutes) in Arabidopsis thaliana leaf mesophyll cells. Transport characteristics of three types of ion channels in the plasma membrane were determined using inside-out patches. With 220 millimolar K(+) on the cytoplasmic side of the patch and 50 millimolar K(+) in the pipette, (220/50 K), the open-channel current-voltage curves of these channels were sigmoidal and consistent with an enzyme kinetic model. Two channel types were selective for K(+) over Na(+) and Cl(-). One (named PKC1) had a maximum conductance (G(max)) of 44 picosiemens at a membrane voltage (V(m)) of -65 mV in (220/50 K) and is stimulated by light. The other (PKC2) had G(max) = 66 picosiemens at V(m) = 60 millivolts in (220/50 K). The third channel type (PCC1) transported K(+) and Na(+) about equally well but not Cl(-). It had G(max) = 109 picosiemens at V(m) = 55 millivolts in (250/50 K) with 10 millimolar Ca(2+) on the cytoplasmic side. Reducing Ca(2+) to 0.1 millimolar increased PCC1 open-channel currents by approximately 50% in a voltage-independent manner. Averaged over time, PKC2 and PCC1 currents strongly outward rectified and PKC1 currents did so weakly. Reductants (1 millimolar dithiothreitol or 10 millimolar beta-mercaptoethanol) added to the cytoplasmic side of an excised patch increased the open probability of all three channel types.
Ion flux relations in the unicellular marine alga Acetabularia have been investigated by uptake and washout kinetics of radioactive tracers (22Na+, 42K+, 36Cl- and 86Rb+) in normal cells and in cell segments with altered compartmentation (depleted of vacuole or of cytoplasm). Some flux experiments were supplemented by simultaneous electrophysiological recordings. The main results and conclusions about the steady-state relations are: the plasmalemma is the dominating barrier for translocation of K+ with influx and efflux of about 100 nmol.m-2.sec-1. K+ passes three- to sevenfold more easily than Rb+ does. Under normal conditions, Cl- (the substrate of the electrogenic pump, which dominates the electrical properties of the plasmalemma in the resting state) shows two efflux components of about 17 and 2 mumol.m-2.sec-1, and a cytoplasmic as well as vacuolar [Cl-] of about 420 mM ([Cl-]o = 529 mM). At 4 degrees C, when the pump is inhibited, both influx and efflux, as well as the cellular [Cl-], are significantly reduced. Na+ ([Na+]i: about 70 mM, [Na+]o: 461 mM), which is of minor electrophysiological relevance compared to K+, exhibits rapid and virtually temperature-insensitive (electroneutral) exchange (two components with about 2 and 0.2 mumol.m-2.sec-1 for influx and efflux). Some results with Na+ and Cl- are inconsistent with conventional (noncyclic) compartmentation models: (i) equilibration of the vacuole (with the external medium) can be faster than equilibration of the cytoplasm, (ii) absurd concentration values result when calculated by conventional compartmental analysis, and (iii) large amounts of ions can be released from the cell without changes in the electrical potential of the cytoplasm. These observations can be explained by the particular compartmentation of normal Acetabularia cells (as known by electron micrographs) with about 1 part cytoplasm, 5 parts central vacuole, and 5 parts vacuolar vesicles. These vesicles communicate directly with the central vacuole, with the cytoplasm and with the external medium.
Amounts and temporal changes of the release of the tracer ions K+ (86Rb+), 22Na+, and 36Cl- as well as of H+ in the course of action potentials in Acetabularia have been recorded. New results and model calculations confirm in quantitative terms the involvement of three major ion transport systems X in the plasmalemma: Cl- pumps, K+ channels, and Cl- channels (which are marked in the following by the prefixes, P, K and C) with their equilibrium voltages XVe and voltage/time-dependent conductances, which can be described by the following, first approximation. Let the maximum (ohmic) conductance of each of the three populations of transporter species be about the same (pL, KL, CL = 1) but voltage gating be different: the pump (pVe about -200 mV) being inactivated (open, o----closed, c) at positive going transmembrane voltages, Vm; the K+ channels (KVe about -100 mV) are inactivated at negative going Vm; and the Cl- channels (CVe: around 0 mV), which are normally closed (c) at a resting Vm (near pVe) go through an intermediate open (o) state at more positive Vm before they enter a third "shut" state (s) in series. Model calculations, in which voltage sensitivities are expressed by the factor f = exp(VmF/(2RT], simulate the action potential fairly well with the following parameters (pkco: 10/fks-1, pkoc: 1000.f ks-1, Kkco: 200.f ks-1, Kkoc: 2/f ks-1, ckco: 500.f ks-1, fkoc: 5/f ks-1, Cks0: 0.1/f ks-1,Ckos: 20.f ks-1). It is also shown that the charge balance for the huge transient Cl- efflux, which frequently occurs during an action potential, can be accounted for by the observation of a corresponding release of Na+.
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Three universally accepted mechanisms of Cl- transport across plasma membranes exist and they are 1) anion-coupled antiport, 2) cation-coupled symport, and 3) coupling to primary active ion transport through electrical and/or chemical processes. No unequivocal direct evidence has been provided for primary active Cl- transport (Cl- pump) despite numerous reports of cellular Cl- -stimulated adenosinetriphosphatase (ATPases) and of Cl- transport that cannot be accounted for by the three well-documented Cl- transport processes. It has been demonstrated that Cl- -stimulated ATPase activity is localized to both mitochondrial and microsomal aspects of the cellular apparatus. However, one group ascribes microsomal localization of Cl- -stimulated ATPase activity to mitochondrial contamination of that membrane fraction. Therefore, no Cl- pump could ever exist naturally in any plasma membrane. The other group simply states that there is plasma membrane localization of Cl- -stimulated ATPase activity that could function as a Cl- pump. Both arguments are logically advanced and their conclusions are consistent with their respective premises. Resolution to the question Is there a Cl- pump? rests with each reader's critique and objective evaluation.
This study demonstrates possible ways to estimate the rate constants of reaction kinetic models for ion transport from steady-state current-voltage data as measured at various substrate concentrations. This issue is treated theoretically by algebraic reduction and extension of a reaction kinetic four-state model for uniport. Furthermore, an example for application is given; current-voltage data from an open K+ selective channel (Schroeder, J.I., R. Hedrich, and J.M. Fernandez, 1984, Nature (Lond.), 312:361-362) supplemented by some new data have been evaluated. The analysis yields absolute numerical estimates of the 14 rate constants of a six-state model, which is discussed in a wider context.
A major obstacle to the understanding of gradient-driven transport systems has been their apparently wide kinetic diversity, which has seemed to require a variety of ad hoc mechanisms. Ordinary kinetic analysis, however, has been hampered by one mathematically powerful but physically dubious assumption: that rate limitation occurs in transmembrane transit, so that ligand-binding reactions are at equilibrium. Simple models lacking that assumption turn out to be highly flexible and are able to describe most of the observed kinetic diversity in co- and counter-transport systems. Our "minimal" model of cotransport consists of a single transport loop linking six discrete states of a carrier-type molecule. The state transitions include one transmembrane charge-transport step, and one step each for binding of substrate and cosubstrate (driver ion) at each side of the membrane. The properties of this model are developed by sequential use of realistic experimental simplifications and generalized numerical computations, focussed to create known effects of substrate, driver ion, and membrane potential upon the apparent Michaelis parameters (Jmax, Km) of isotopic substrate influx. Specific behavior of the minimal model depends upon the arrangement of magnitudes of individual reaction constants among the whole set (12) in the loop. Well defined arrangements have been found which permit either increasing membrane potential or increasing external driver-ion selectively to reduce the substrate Km, elevate Jmax, jointly raise both Km and Jmax, or lower Km while raising Jmax. Other arrangements allow rising internal driver ion to act like either a competitive or a noncompetitive inhibitor of entry, or allow internal substrate to shut down ("transinhibit") influx despite large inward driving forces. These findings obviate most postulates of special mechanisms in cotransport: e.g., stoichiometry changes, ion wells, carrier-mediated leakage, and gating - at least as explanations for existing transport kinetic data. They also provide a simple interpretation of certain kinds of homeostatic regulation, and lead to speculation that the observed diversity in cotransport kinetics reflects control-related selection of reaction rate constants, rather than fundamental differences of mechanism.
Since gravistimulation is followed by alterations in the external current symmetry (Behrens et al., 1982), the effect of gravistimulation on cellular membrane potential was investigated using conventional glass microelectrode techniques. The resting potential of statocytes in a vertically oriented root is approx. -118 mV. Upon gravistimulation, the membrane potential is temporarily depolarized (lag time = 2 s) to a potential of approx. -93 mV. This depolarization is only observed in statocytes located on the physically lower root flank while those on the corresponding upper flank become weakly hyperpolarized (approx. -13 mV). These results reflect altered ion fluxes across the plasma membrane. The perception of gravistimulus was suggested to result from a pressure of the amyloplasts on the distal endoplasmic reticulum (ER) of the statocytes (Sievers and Volkmann, 1972). A causal relationship between changes in ER-amyloplast interactions and the rapid alterations in plasma membrane potential described above is not known. A candidate for such an intracellular messenger is Ca2+. As a first step in establishing the validity of such an assumption, we have isolated ER membranes from roots. When incubated with micromolar concentrations of Ca2+, the vesicular membrane fraction accumulates Ca2+. The accumulation is ATP-dependent and -specific and is directly coupled to ATP hydrolysis since a protonophore shows no inhibitory effect. Thus, in analogy to the sarcoplasmic reticulum of muscle, regulation of an ER-localized Ca2+ compartment might be an important step in such complex processes as stimulus-transduction in gravitropism.
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.
Microplasmodia of Physarum polycephalum have been investigated by conventional electrophysiological techniques. In standard medium (30 mM K+, 4 mM Ca++, 3 mM Mg++, 18 mM citrate buffer, pH 4.7, 22 degrees C), the transmembrane potential difference Vm is around -100 mV and the membrane resistance about 0.25 omega m2. Vm is insensitive to light and changes of the Na+/K+ ratio in the medium. Without bivalent cations in the medium and/or in presence of metabolic inhibitors (CCCP, CN-, N3-), Vm drops to about 0 mV. Under normal conditions, Vm is very sensitive to external pH (pH0), displaying an almost Nernstian slope at pH0 = 3. However, when measured during metabolic inhibition, Vm shows no sensitivity to pH0 over the range 3 to 6, only rising (about 50 mV/pH) at pH0 = 6. Addition of glucose or sucrose (but not mannitol or sorbitol) causes rapid depolarization, which partially recovers over the next few minutes. Half-maximal peak depolarization (25 mV with glucose) was achieved with 1 mM of the sugar. Sugar-induced depolarization was insensitive to pH0. The results are discussed on the basis of Class-I models of charge transport across biomembranes (Hansen, Gradmann, Sanders and Slayman, 1981, J. Membrane Biol. 63:165-190). Three transport systems are characterized: 1) An electrogenic H+ extrusion pump with a stoichiometry of 2 H+ per metabolic energy equivalent. The deprotonated form of the pump seems to be negatively charged. 2) In addition to the passive K+ pathways, there is a passive H+ transport system; here the protonated form seems to be positively charged. 3) A tentative H+-sugar cotransport system operates far from thermodynamic equilibrium, carrying negative charge in its deprotonated states.
This paper develops a simple reaction-kinetic model to describe electrogenic pumping and co- (or counter-) transport of ions. It uses the standard steady-state approach for cyclic enzyme- or carrier-mediated transport, but does not assume rate-limitation by any particular reaction step. Voltage-dependence is introduced, after the suggestion of Läuger and Stark (Biochim. Biophys. Acta 211:458-466, 1970), via a symmetric Eyring barrier, in which the charge-transit reaction constants are written as k12 = ko12 exp(zF delta psi/2RT) and k21 = ko21 exp(-zF delta psi/2RT). For interpretation of current-voltage relationships, all voltage-independent reaction steps are lumped together, so the model in its simplest form can be described as a pseudo-2-state model. It is characterized by the two voltage-dependent reaction constants, two lumped voltage-independent reaction constants (k12, k21), and two reserve factors (ri, ro) which formally take account of carrier states that are indistinguishable in the current-voltage (I-V) analysis. The model generates a wide range of I-V relationships, depending on the relative magnitudes of the four reaction constants, sufficient to describe essentially all I-V datas now available on "active" ion-transport systems. Algebraic and numerical analysis of the reserve factors, by means of expanded pseudo-3-, 4-, and 5-state models, shows them to be bounded and not large for most combinations of reaction constants in the lumped pathway. The most important exception to this rule occurs when carrier decharging immediately follows charge transit of the membrane and is very fast relative to other constituent voltage-independent reactions. Such a circumstance generates kinetic equivalence of chemical and electrical gradients, thus providing a consistent definition of ion-motive forces (e.g., proton-motive force, PMF). With appropriate restrictions, it also yields both linear and log-linear relationships between net transport velocity and either membrane potential or PMF. The model thus accommodates many known properties of proton-transport systems, particularly as observed in "chemiosmotic" or energy-coupling membranes.
Circadian changes of three parameters of electrical properties in extensor cells of the laminar pulvini of Phaseolus coccineus L. have been recorded by standard microelectrode techniques. In the low turgor state of the cells, the resting potential and the CN(-) (1 millimolar NaCN) induced depolarizations are large, while the K(+)-induced voltage changes are small, and vice versa in the high turgor state. These results demonstrate that during a circadian cycle the low turgor state of the extensor cells is correlated with the active state of an electrogenic pump. This correlation can be explained by electroosmosis.
The electrical cable properties of three different compartmentation types of Acetabularia cells have been investigated. These three types were: normal cells, 'stumps' (filled with cytoplasm, no central vacuole) and 'tubes' (cytoplasm depleted vacuoles). The latter two types have been obtained by centrifugation of normal cells. Qualitatively, the characteristic biphasic voltage response upon rectangular current pulses is the same in these three types. Quantitatively, however, the two conductances which can be obtained from the biphasic voltage response as well as the apparent capacity of several F . m-2 which derives from the large time constant of the second phase, are drastically increased in stumps and decreased in tubes compared to normal cells. The resting potential is a few mV more negative in stumps, and more positive in tubes, than in normal cells. Based on the existence of the high resting potential and the apparent large capacity in the non-vacuolated stumps, it is concluded that the electrogenic Cl- pump of Acetabularia is located in the plasmalemma membrane and that the apparent large capacity is not a result of the complicated membraneous organisation of the vacuolar system. Several possibilities are discussed, in relation to the quantitative correlation between intracellular compartmentation and electrical membrane parameters.