A Mathematical Model of Action Potential in Cells of Vascular Plants

A mathematical model of action potential (AP) in vascular plants cells has been worked out. The model takes into account actions of plasmalemma ion transport systems (K⁺, Cl^? and Ca²⁺ channels; H⁺- and Ca²⁺-ATPases; 2H⁺/Cl^? symporter; and H⁺/K⁺ antiporter), changes of ion concentrations in the cell and in the extracellular space, cytoplasmic and apoplastic buffer capacities and the temperature dependence of active transport systems. The model of AP simulates a stationary level of the membrane potential and ion concentrations, generation of AP induced by electrical stimulation and gradual cooling and the impact of external Ca²⁺ for AP development. The model supports a hypothesis about participation of H⁺-ATPase in AP generation.     

Changes in membrane potential and resistance caused by transient increase of potassium conductance in the unicellular green alga Eremosphaera viridis

The electrophysiological membrane parameters of the unicellular green alga Eremosphaera viridis were determined using an improved computer-supported single-microelectrode technique. These cells developed an average membrane potential of-150 mV in the light and a specific resistance of 1 Ω m² with an external potassium concentration of 1.1 mM and pH 5.5. In the dark, many cells showed a less polarized potential of 30–40 mV and a smaller membrane resistance. At potassium concentrations in the external medium higher than 1 mM, the membrane potential strongly depends on the external potassium content apart from a small electrogenic component. At concentrations lower than 1 mM K⁺, a dependence of the membrane potential upon external potassium concentrations could not be verified. Inserting the internal ion activities in the Goldmann equation shows that, in this range, the proton conductance seems to be predominant over the potassium conductance. Transient changes in the membrane potential and in the membrane resistance were observed after switching off the light, after addition of 3-(3′,4′-dichlorophenyl)-1,1-dimethylurea or N,N′-dicyclohexylcarbodiimide, after a sudden decrease in temperature, and after current pulses. These changes resemble the action potentials (AP) found in other plant cells (Chara, Acetabularia). On average, the AP has a delay period of 5.1 s and a duration of 43.8 s showing a sudden decrease and a slower regeneration. The voltage peak during an AP followed exactly the Nernst potential of potassium over a range of external potassium concentrations from 5 μM to 0.2 M. This is true for depolarization or hyperpolarization, depending on the external K⁺-concentration. Tetraethylammonium-hydrogensulphate, a rather specific inhibitor of K⁺ channels in nervous cells, suppressed the AP. The correlation of the appearance of the AP with a short-term opening of potassium channels in the membrane of Eremosphaera is discussed.     

Organelle-localized potassium transport systems in plants

Some intracellular organelles found in eukaryotes such as plants have arisen through the endocytotic engulfment of prokaryotic cells. This accounts for the presence of plant membrane intrinsic proteins that have homologs in prokaryotic cells. Other organelles, such as those of the endomembrane system, are thought to have evolved through infolding of the plasma membrane. Acquisition of intracellular components (organelles) in the cells supplied additional functions for survival in various natural environments. The organelles are surrounded by biological membranes, which contain membrane-embedded K⁺ transport systems allowing K⁺ to move across the membrane. K⁺ transport systems in plant organelles act coordinately with the plasma membrane intrinsic K⁺ transport systems to maintain cytosolic K⁺ concentrations. Since it is sometimes difficult to perform direct studies of organellar membrane proteins in plant cells, heterologous expression in yeast and Escherichia coli has been used to elucidate the function of plant vacuole K⁺ channels and other membrane transporters. The vacuole is the largest organelle in plant cells; it has an important task in the K⁺ homeostasis of the cytoplasm. The initial electrophysiological measurements of K⁺ transport have categorized three classes of plant vacuolar cation channels, and since then molecular cloning approaches have led to the isolation of genes for a number of K⁺ transport systems. Plants contain chloroplasts, derived from photoautotrophic cyanobacteria. A novel K⁺ transport system has been isolated from cyanobacteria, which may add to our understanding of K⁺ flux across the thylakoid membrane and the inner membrane of the chloroplast. This chapter will provide an overview of recent findings regarding plant organellar K⁺ transport proteins.     

Coupling of water and potassium ions in K+ channels of the tonoplast of Chara

Electrokinetic measurements, of streaming potential, were carried out on an excised inside-out patch of the vacuolar membrane of Chara corallina. A water activity gradient was imposed across the patch membrane containing a single K⁺ channel by addition of sorbitol to one side. Two different K⁺ channels were found in the tonoplast. Their open channel conductance was investigated as a function of KCl concentration. They had a maximal open channel conductance of 247 and 173 pS, and an apparent affinity (K_M) of 116 and 92 mM, respectively. Single-channel zero-current potentials were determined in the presence of an osmotic gradient, and dilution artifacts were corrected for by addition of valinomycin to the bath. Our results suggest that 29 water molecules were coupled to the transport of one K⁺ ion in the large conductance K⁺ channel which has a pore radius of ~1.5 nm.     

The ACh-induced whole-cell currents in sheep parotid secretory cells. Do BK channels really carry the ACh-evoked whole-cell K+ current?

As in other salivary glands, the secretory cells of the sheep parotid have a resting K⁺ conductance that is dominated by BK channels, which are activated by acetylcholine (ACh) and are blocked by tetraethylammonium (TEA). Nevertheless, perfusion studies indicate that TEA does not inhibit ACh-evoked fluid secretion or K⁺ efflux from intact sheep parotid glands. In the present study, we have used whole-cell patch clamp techniques to show that ACh activates K⁺ and Cl^– conductances in sheep parotid secretory cells by increasing intracellular free Ca²⁺, and we have compared the blocker sensitivity of the ACh-evoked whole-cell K⁺ current to the previously reported blocker sensitivity of the BK channels seen in these cells.The ACh-induced whole-cell K⁺ current was not blocked by TEA (10 mmol/l) or verapamil (100 mol/l), both of which block the resting K⁺ conductance and inhibit BK channels in these cells. Quinine (1 mmol/l) and quinidine (1 mmol/l), although only weak blockers of the resting K⁺ conductance, inhibited the ACh-evoked current at 0 mV (K⁺ current), by 68% and 78%, respectively. 4-Aminopyridine (10 mmol/l) partially inhibited the ACh-induced K⁺ current and caused it to fluctuate. It also caused the resting membrane currents to fluctuate, possibly by altering cytosolic free Ca²⁺. Ba²⁺ (100 mol/l), a blocker of the inwardly rectifying K⁺ conductance in sheep parotid cells, had no effect on the ACh-induced K⁺ current.We conclude that the ACh-induced K⁺ conductance in sheep parotid cells is pharmacologically distinct from both the outwardly rectifying (BK) K⁺ conductance and the inwardly rectifying K⁺ conductance seen in unstimulated cells. Given that in vitro perfusion and K⁺ efflux studies on other salivary glands in which BK channels dominate the resting conductance (e.g., the rat mandibular, rat parotid and mouse mandibular glands) have revealed an insensitivity to TEA, suggesting that BK channels do not carry the ACh-evoked K⁺ current, we propose that BK channels do not contribute substantially to the K⁺ current evoked by ACh in the secretory cells of most salivary glands.This project was supported by the Australian Research Council. We thank Dr. N. Sangster, Dr. J. Rothwell and Mr. R. Murphy for giving us access to their sheep.     

The Ach-evoked Ca2+-activated K+ Current in Mouse Mandibular Secretory Cells. Single Channel Studies

Although acetylcholine (ACh) is able to activate voltage- and Ca²⁺-sensitive K⁺ (BK) channels in mouse mandibular secretory cells, our recent whole cell studies have suggested that these channels, like those in sheep parotid secretory cells, do not contribute appreciably to the conductance that carries the ACh-evoked whole cell K⁺ current. In the present study, we have used cell-attached patch clamp methods to identify and characterize the K⁺ channel type responsible for carrying the bulk of this current. When the cells were bathed in a NaCl-rich solution the predominant channel type activated by ACh (1 μmol/l or 50 nmol/l) had a conductance only of 40 pS; it was not blocked by TEA but it was sensitive to quinine and it conducted Rb⁺ to an appreciable extent. BK channels, which could be seen in some but not all patches from resting cells, also showed increased activity when ACh was added to the bath, but they were much less conspicuous during ACh stimulation than the 40-pS channels. When the cells were bathed in a KCl-rich rather than a NaCl-rich solution, a small-conductance K⁺ channel, sensitive to quinine but not to TEA, was still the most conspicuous channel to be activated by ACh although its conductance was reduced to 25 pS. Our studies confirm that the ACh-evoked whole-cell K⁺ current is not carried substantially by BK channels and show that it is carried by a small-conductance K⁺ channel with quite different properties. Received: 28 September 1995/Revised: 26 December 1995     

Functional characterization and physiological roles of the single Shaker outward K+ channel in Medicago truncatula

The model legume Medicago truncatula possesses a single outward Shaker K⁺ channel, whereas Arabidopsis thaliana possesses two channels of this type, named AtSKOR and AtGORK, with AtSKOR having been shown to play a major role in K⁺ secretion into the xylem sap in the root vasculature and with AtGORK being shown to mediate the efflux of K⁺ across the guard cell membrane, leading to stomatal closure. Here we show that the expression pattern of the single M. truncatula outward Shaker channel, which has been named MtGORK, includes the root vasculature, guard cells and root hairs. As shown by patch‐clamp experiments on root hair protoplasts, besides the Shaker‐type slowly activating outwardly rectifying K⁺ conductance encoded by MtGORK, a second K⁺‐permeable conductance, displaying fast activation and weak rectification, can be expressed by M. truncatula. A knock‐out (KO) mutation resulting in an absence of MtGORK activity is shown to weakly reduce K⁺ translocation to shoots, and only in plants engaged in rhizobial symbiosis, but to strongly affect the control of stomatal aperture and transpirational water loss. In legumes, the early electrical signaling pathway triggered by Nod‐factor perception is known to comprise a short transient depolarization of the root hair plasma membrane. In the absence of the functional expression of MtGORK, the rate of the membrane repolarization is found to be decreased by a factor of approximately two. This defect was without any consequence on infection thread development and nodule production in plants grown in vitro, but a decrease in nodule production was observed in plants grown in soil.     

The combined effect of Cd2+ and ACh on action potentials of Nitellopsis obtusa cells

Interrelations between the action of acetylcholine (ACh) and cadmium ions (Cd²⁺) on bioelectrogenesis of Nitellopsis obtusa cells were investigated. We analyzed repetitively triggered action potentials (AP), their reproducibility, shape and dynamics of membrane potential after AP induction. ACh significantly increased membrane permeability only at high concentrations (1 mM and 5 mM). Repolarisation level of action potential after the first stimulus was much more positive in all cells treated with ACh as compared to the control. Differences of membrane potentials between points just before the first and the second stimuli were 23.4±.0 mV (control); 40.4±5.9 mV (1 mM ACh solution) and 57.7 ± 8.5 mV (5 mM ACh solution). Cd²⁺ at 20 μM concentration was examined as a possible inhibitor of acetylcholinesterase (AChE) in vivo. We found that cadmium strengthens depolarizing effect of acetylcholine after the first stimulus. The highest velocity of AP repolarization was reduced after ACh application and Cd²⁺strengthened this effect. There were no differences in dynamics of membrane potential after repetitively triggered action potentials in ACh or ACh and Cd²⁺ solutions. This shows that cadmium in small concentration acts as inhibitor of acetylcholinesterase.     

Properties of Shaker-type Potassium Channels in Higher Plants

Potassium (K⁺), the most abundant cation in biological organisms, plays a crucial role in the survival and development of plant cells, modulation of basic mechanisms such as enzyme activity, electrical membrane potentials, plant turgor and cellular homeostasis. Due to the absence of a Na⁺/K⁺ exchanger, which widely exists in animal cells, K⁺ channels and some type of K⁺ transporters function as K⁺ uptake systems in plants. Plant voltage-dependent K⁺ channels, which display striking topological and functional similarities with the voltage-dependent six-transmembrane segment animal Shaker-type K⁺ channels, have been found to play an important role in the plasma membrane of a variety of tissues and organs in higher plants. Outward-rectifying, inward-rectifying and weakly-rectifying K⁺ channels have been identified and play a crucial role in K⁺ homeostasis in plant cells. To adapt to the environmental conditions, plants must take advantage of the large variety of Shaker-type K⁺ channels naturally present in the plant kingdom. This review summarizes the extensive data on the structure, function, membrane topogenesis, heteromerization, expression, localization, physiological roles and modulation of Shaker-type K⁺ channels from various plant species. The accumulated results also help in understanding the similarities and differences in the properties of Shaker-type K⁺ channels in plants in comparison to those of Shaker channels in animals and bacteria.     

K Channels Are Responsible for an Inwardly Rectifying Current in the Plasma Membrane of Mesophyll Protoplasts of Avena sativa

In whole-cell recording, the conductance of the plasma membrane of protoplasts isolated from mesophyll cells of leaves of oat (Avena sativa) was greater for inward than outward current. The inward current in both the whole-cell mode and with isolated patches was dependent on [K⁺]_o. When the membrane voltage was more positive than −50 millivolts, the membrane conductance in the whole-cell mode was low, and K⁺ channels in cell-attached or outside-out patches had a low probability of being open. At a membrane voltage more negative than −50 millivolts, the membrane conductance increased by sevenfold in the whole-cell mode, and the probability of the channels being open increased. The inward current was highly selective for K⁺ compared with Cs⁺, Na⁺, choline or Cl⁻. Low concentrations of [Cs⁺]_o or [Na⁺]_o blocked the inward current in a strongly voltage-dependent fashion. Comparison of single-channel with the macroscopic current yields an estimate of about 200 inwardly rectifying K⁺ channels per cell at a density of 0.035 per square micrometer. At physiological membrane voltages and [K⁺]_o about 10 millimolar, the influx through these channels is sufficient to increase the internal [K⁺] by 2 millimolar per minute. These K⁺ channels are activated by membrane voltages in the normal physiological range and could contribute to K⁺ uptake whenever the membrane is more negative than the K⁺ equilibrium potential.     

Action of tetraethylammonium on calcium-activated potassium channels in pig pancreatic acinar cells studied by patch-clamp single-channel and whole-cell current recording

Summary The effects of tetraethylammonium ions on currents through high-conductance voltage- and Ca²⁺-activated K⁺ channels have been studied with the help of patch-clamp single-channel and whole-cell current recording on pig pancreatic acinar cells. In excised outside-out membrane patches TEA (1 to 2 mM) added to the bath solution virtually abolishes unitary current activity except at very positive membrane potentials when unitary currents corresponding to a markedly reduced conductance are observed. TEA in a lower concentration (0.2 mM) markedly reduces the open-state probability and causes some reduction of the single-channel conductance. In inside-out membrane patches bath application of TEA in concentrations up to 2 mM has no effect on single-channel currents. At a higher concentration (10 mM) slight reductions in single-channel conductance occur. In whole-cell current recording experiments TEA (1 to 2 mM) added to the bath solution completely suppresses the outward currents associated with depolarizing voltage jumps to membrane potentials of 0 mV and blocks the major part (70 to 90%) of the outward currents even at very positive membrane potentials (30 to 40 mV). In contrast TEA (2 mM) added to the cell interior (pipette solution) has no effect on the outward K⁺ current. Our results demonstrate that TEA in low concentrations (1 to 2 mM) acts specifically on the outside of the plasma membrane to block current through the high-conductance Ca²⁺- and voltage-activated K⁺ channels     

Potassium and its role in cesium transport in plants

In plant cells, potassium (K⁺) is abundantly present and is dominant cation plays a vital role in maintaining physiological and morphological characteristics of plants. Many membrane integrated channels and transporters specific to K⁺ are involved in maintaining the potassium concentration within plants via membrane electrical activities. Elemental homologues to K⁺ compete with it for entry inside plants; among those, cesium is very common radionuclide. Once cesium enters into the plant cell, it can cause phytotoxicity. Therefore, it is desirable to understand complete pathway and mechanisms of cesium uptake in the plants, in order to assess consequences from accidental release of radioactive substance. This review focuses on mechanism of K⁺ ion uptake through channels/transporter and involvement of these channels/transporter in cesium uptake in plant cells.     

Membrane Operational Impedance Spectra in Chara corallina Estimated by Laplace Transforms Analysis

The membrane operational impedance spectrum of Chara corallina Klein ex Willd. (R. Brown) cells is investigated using Laplace transform analysis. The spectrum changes with both amplitude and sign of the electrical stimulation when time- and voltage-dependent K⁺ channels contribute to the membrane conductance. We compare the advantages and disadvantage of this technique for studying membrane impedance with those of the alternating current method and the white noise method.     

Inward and outward K+-selective currents in the plasma membrane of protoplasts from maize root cortex and stele

In an attempt to understand the processes mediating ion transport within the root, the patch clamp technique was applied to protoplasts isolated from the cortex and stele of maize roots and their plasma membrane conductances investigated. In the whole-cell configuration, membrane hyperpolarization induced a slowly activating inwardly rectifying conductance in most protoplasts isolated from the root cortex. In contrast, most protoplasts isolated from the stele contained a slowly activating outwardly rectifying conductance upon plasma membrane depolarization. The reversal potential of the inward current indicated that it was primarily due to the movement of K⁺; the outwardly rectifying conductance was comparatively less selective for K⁺. Membrane hyperpolarization beyond a threshold of about ?70 mV induced inward currents. When E_K was set negative of this threshold, inward currents activated negative of E_K and no outward currents were observed positive of E_K. Outward currents in the stelar protoplasts activated at potentials positive of ?85 mV. However, when E_K was set positive of ?85 mV a small inward current was also observed at potentials negative (and slightly positive) of the equilibrium potential for K⁺. Inwardly and outwardly rectifying K⁺ channels were observed in outside-out patches from the plasma membrane of cortical and stelar cells, respectively. Characterization of these channels showed that they were likely to be responsible for the macroscopic ‘whole-cell’ currents. Inward and outward currents were affected differently by various K⁺ channel blockers (TEA⁺, Ba²⁺ and Cs⁺). In addition, Ca²⁺ above 1 mM partially blocked the inward current in a voltage-dependent manner but had little effect on the outward current. It is suggested that the inwardly rectifying conductance identified in protoplasts isolated from the cortex probably represents an important component of the low-affinity K⁺ uptake mechanism (mechanism II) identified in intact roots. The outwardly rectifying conductance identified in protoplasts isolated from the stele could play a role in the release of cations into the xylem vessels for transport to the shoot.     

Characterization of glutamate transport system in hydrophobic protein (H protein) of Bacillus subtilis

Hydrophobic protein (H protein) was isolated from membrane fractions of Bacillus subtilis and constituted into artificial membrane vesicles with lipid of B. substilis. Glutamate was accumulated into the vesicle when a Na⁺ gradient across the membrane was imposed. The maximum effect of Na⁺ on the transport was achieved at a concentration of about 40 mM, while the apparent K_m for Na⁺ was approximately 8 mM. On the other hand, K_m for glutamate in the presence of 50 mM Na⁺ was about 8 μM. Increasing the concentration of Na⁺ resulted in a decrease in K_m for glutamate, maximum velocity was not affected. The transport was sensitive to monensin (Na⁺ ionophore).Glutamate was also accumulated when pH gradient (interior alkaline) across the membrane was imposed or a membrane potential was induced with K⁺-diffusion potential. The pH gradient-driven glutamate transport was sensitive to carbonylcyanide m-chlorophenylhydrazone and the apparent K_m for glutamate was approximately 25 μM.These results indicate that two kinds of glutamate transport system were present in H protein: one is Na⁺ dependent and the other is H⁺ dependent.     

Membrane transport parameters in frog corneal epithelium measured using impedance analysis techniques

Summary Active Cl^– transport in bullfrog corneal epithelium was studied using transepithelial impendance analysis methods, and direct-current (DC) measurements of membrane voltages and resistance ratios. The technique allows the estimation of the apical and basolateral membrane conductances, and the paracellular conductance, and does not rely on the use of membrane conductance-altering agents to obtain these measurements as was requisite in earlier DC equivalent-circuit analysis studies. In addition, the analysis results in estimates of the apical and basolateral membrane capacitances, and allows resolution of the paracellular conductance into properties of the tight junctions and lateral spaces. Membrane capacitances (proportional to areas) were used to estimate the specific conductances of the apical and basolateral membranes, as well as to evaluate coupling between the cell layers. We confirm results obtained from earlier studies: (1) apical membrane conductance is proportional to the rate of active Cl^– transport and is, highly Cl^– selective; (2) intracellular Cl^– activity is above electrochemical equilibrium, thereby providing a net driving force for apical membrane Cl^– exit; (3) the paracellular conductance is comparable to the transcellular conductance. We also found that: (1) the paracellular conductance is composed of the series combination of the junctional conductance and a nonnegligible lateral space resistance; (2) a small K⁺ conductance reported in the apical membrane may result from Cl^– channels possessing a finite permeability to K⁺; (3) the basolateral membrane areas is 36 times greater than the apical membrane area which is consistent with the notion of electrical coupling between the five to six cell layers of the epithelium; (4) the specific conductance of the basolateral membrane is many times lower than that of the apical membrane; (5) the net transport of Cl^– is modulated primarily by changes in the conductance of the apical membrane and not by changes in the net electrochemical gradient resulting from opposite changes in the electrical and chemical gradients; (6) the conductance of the basolateral membrane does not change with transport which implies that the net driving force for K⁺ exit increases with transport, possibly due to an increase in the intracellular K⁺ activity.     

Na+K+-ATPase Activity and K+ Channels Differently Contribute to Vascular Relaxation in Male and Female Rats

Gender associated differences in vascular reactivity regulation might contribute to the low incidence of cardiovascular disease in women. Cardiovascular protection is suggested to depend on female sex hormones’ effects on endothelial function and vascular tone regulation. We tested the hypothesis that potassium (K⁺) channels and Na⁺K⁺-ATPase may be involved in the gender-based vascular reactivity differences. Aortic rings from female and male rats were used to examine the involvement of K⁺ channels and Na⁺K⁺-ATPase in vascular reactivity. Acetylcholine (ACh)-induced relaxation was analyzed in the presence of L-NAME (100 µM) and the following K⁺ channels blockers: tetraethylammonium (TEA, 2 mM), 4-aminopyridine (4-AP, 5 mM), iberiotoxin (IbTX, 30 nM), apamin (0.5 µM) and charybdotoxin (ChTX, 0.1 µM). The ACh-induced relaxation sensitivity was greater in the female group. After incubation with 4-AP the ACh-dependent relaxation was reduced in both groups. However, the dAUC was greater in males, suggesting that the voltage-dependent K⁺ channel (K_v) participates more in males. Inhibition of the three types of Ca²⁺-activated K⁺ channels induced a greater reduction in R_max in females than in males. The functional activity of the Na⁺K⁺-ATPase was evaluated by KCl-induced relaxation after L-NAME and OUAincubation. OUA reduced K⁺-induced relaxation in female and male groups, however, it was greater in males, suggesting a greater Na⁺K⁺-ATPase functional activity. L-NAME reduced K⁺-induced relaxation only in the female group, suggesting that nitric oxide (NO) participates more in their functional Na⁺K⁺-ATPase activity. These results suggest that the K⁺ channels involved in the gender-based vascular relaxation differences are the large conductance Ca²⁺-activated K⁺ channels (BK_Ca) in females and K_v in males and in the K⁺-induced relaxation and the Na⁺K⁺-ATPase vascular functional activity is greater in males.