Memory elements in the electrical network of Mimosa pudica L.

The fourth basic circuit element, a memristor, is a resistor with memory that was postulated by Chua in 1971. Here we found that memristors exist in vivo. The electrostimulation of the Mimosa pudica by bipolar sinusoidal or triangle periodic waves induce electrical responses with fingerprints of memristors. Uncouplers carbonylcyanide-3-chlorophenylhydrazone and carbonylcyanide-4-trifluoromethoxy-phenyl hydrazone decrease the amplitude of electrical responses at low and high frequencies of bipolar sinusoidal or triangle periodic electrostimulating waves. Memristive behavior of an electrical network in the Mimosa pudica is linked to the properties of voltage gated ion channels: the channel blocker TEACl reduces the electric response to a conventional resistor. Our results demonstrate that a voltage gated K⁺ channel in the excitable tissue of plants has properties of a memristor. The discovery of memristors in plants creates a new direction in the modeling and understanding of electrical phenomena in plants.     

An analytical model of memristors in plants

The memristor, a resistor with memory, was postulated by Chua in 1971 and the first solid-state memristor was built in 2008. Recently, we found memristors in vivo in plants. Here we propose a simple analytical model of 2 types of memristors that can be found within plants. The electrostimulation of plants by bipolar periodic waves induces electrical responses in the Aloe vera and Mimosa pudica with fingerprints of memristors. Memristive properties of the Aloe vera and Mimosa pudica are linked to the properties of voltage gated K⁺ ion channels. The potassium channel blocker TEACl transform plant memristors to conventional resistors. The analytical model of a memristor with a capacitor connected in parallel exhibits different characteristic behavior at low and high frequency of applied voltage, which is the same as experimental data obtained by cyclic voltammetry in vivo.     

Molecular electronics in pinnae of Mimosa pudica

Bioelectrochemical circuits operate in all plants including the sensitive plant Mimosa pudica Linn. The activation of biologically closed circuits with voltage gated ion channels can lead to various mechanical, hydrodynamical, physiological, biochemical and biophysical responses. Here the biologically closed electrochemical circuit in pinnae of Mimosa pudica is analyzed using the charged capacitor method for electrostimulation at different voltages. Also the equivalent electrical scheme of electrical signal transduction inside the plant''s pinna is evaluated. These circuits remain linear at small potentials not exceeding 0.5 V. At higher potentials the circuits become strongly non-linear pointing to the opening of ion channels in plant tissues. Changing the polarity of electrodes leads to a strong rectification effect and to different kinetics of a capacitor. These effects can be caused by a redistribution of K⁺, Cl⁻, Ca²⁺ and H⁺ ions through voltage gated ion channels. The electrical properties of Mimosa pudica were investigated and equivalent electrical circuits within the pinnae were proposed to explain the experimental data.Key words: electrophysiology, plant cell electrostimulation, charged capacitor method, electrical circuits, electrical signaling, Mimosa pudica     

The effect of thaumatin gene overexpression on the properties of H+-ATPase from the plasmalemma of potato tuber cells

The introduction of the thaumatin gene into potato plants was accompanied by a decrease in the activity of H⁺-ATPase in the plasmalemma (PL) of tuber cells. When tubers were released from dormancy, the enzyme was activated in the tuber cells of both the original and transgenic plants. Experiments performed in vitro demonstrated that sensitivities to ambiol (AM) and jasmonic acid (JA) of H⁺-ATPase in the PL of tubers from the original plants were lower after the release from a period of deep dormancy. In preparations from the tubers of transgenic plants, the situation was reversed. The differences between the activities of H⁺-ATPase in the PL preparations produced from the original and transgenic tubers that sprouted under the action of AM and JA were detected. Thus, the overexpression of the thaumatin gene in potato plants changed the properties of H⁺-ATPase from PL.     

Electrophysiology of the marine diatom Coscinodiscus wailesii. II. Potassium currents

The dominating mechanism of K⁺ uniport through the plasmalemma of Coscinodiscus wailesii has been studied in some detail as part of a general study of ionic relations in marine diatoms. Electrical measurements with double-barrelled glass-microelectrodes have been made in intact cells (diameter 100 m) bathed in artificial sea-water in which [K⁺] has been changed from 3 mM to 100 mM. Using a modified Goldman equation, these results provide an estimate of [K⁺]i of about 400 mM and a selectivity for K⁺ over Na⁺ and CI^-, which could spontaneously vary by orders of magnitude and reach values of about 1000. Voltage-clamp experiments have been carried out in these states of high K⁺ selectivity using bipolar staircase command voltages over a range from -180 to +60 mV. The resulting steady-state current-voltage relationships have inward rectifying sigmoid characteristics with a negative saturation current around -30 nA, and a slope conductance of the order or 1 S at free running voltages <-60 mV. Temporal responses of the clamp currents upon rectangular voltage steps were basically rectangular, i.e. they did not show the familiar relaxation kinetics of voltage-induced activation/inactivation. The sigmoid steady-state current-voltage relationships could not be described by a usual model of constant-field currents through a voltage-gated pore, where the positive current of an inward rectifier would not saturate but vanish. Alternatively, the observed steady-state inward rectifying current-voltage relationship and its changes upon changes in [K⁺]o, are well described by a three-state reaction cycle for catalysis of K⁺ translocation with a steady activity.     

High K<Superscript>+</Superscript> does not affect potato (<Emphasis Type="Italic">Solanum tuberosum</Emphasis> L.) tuber induction,but represses its development <Emphasis Type="Italic">in vitro</Emphasis>

The role of K⁺ in potato (Solanum tuberosum L.) tuberization, based on the effects of K fertilizer and soil exchangeable K⁺, appears to be mostly contradictory. Here, we provide evidence that K⁺ at high concentrations is detrimental to tuber development in vitro once induction has taken place. An experimental system using in vitro-cultured single-node cuttings showed that K⁺ at ≥30.0 mM significantly reduced tuber fresh mass concomitant with a corresponding decline in starch content. However, high K⁺ did not affect tuber induction in terms of number of tubers developed per cutting. High K⁺-induced inhibitory effect on tuber development was attributed to a reduced rate of assimilate partitioning. ⁸⁶Rb(K) transport to stolons, and tubers that acted as strong sinks in vitro were proportional to exogenous K⁺ levels; however, ⁸⁶Rb accumulation and K⁺ deposition were markedly reduced in tubers as compared with that in stolons, especially at higher K⁺ levels. The results indicated a diminishing sink strength developed by tubers with increasing K nutrition. Highly significant negative correlations between ⁸⁶Rb accumulation/K⁺ deposition in both the sink organs and tuber fresh mass reinforced the inhibitory effect of high K⁺ on tuber development. The rate of tuber K removal in vitro was similar to that of crop K removal reported in vivo, suggesting highly conserved K uptake and transport mechanisms during tuberization process. The results have been discussed in the context of possible effects of high K⁺ on impairing sucrose uptake and metabolism.     

Quasi-Linear Vacancy Dynamics Modeling and Circuit Analysis of the Bipolar Memristor

The quasi-linear transport equation is investigated for modeling the bipolar memory resistor. The solution accommodates vacancy and circuit level perspectives on memristance. For the first time in literature the component resistors that constitute the contemporary dual variable resistor circuit model are quantified using vacancy parameters and derived from a governing partial differential equation. The model describes known memristor dynamics even as it generates new insight about vacancy migration, bottlenecks to switching speed and elucidates subtle relationships between switching resistance range and device parameters. The model is shown to comply with Chua''s generalized equations for the memristor. Independent experimental results are used throughout, to validate the insights obtained from the model. The paper concludes by implementing a memristor-capacitor filter and compares its performance to a reference resistor-capacitor filter to demonstrate that the model is usable for practical circuit analysis.     

“Action potentials” in NEUROSPORA CRASSA, a mycelial fungus

Occasional spontaneous “action potentiais” are found in mature hyphae of the fungus Neurospora crassa. They can arise either from low-level sinusoidal oscillations of the membrane potential or from a linear slow depolarization which accelerates into a rapid upstroke at a voltage 5–20 mV depolarized from the normal resting potential (near − 180 mV). The “action potentiais” are long-lasting, 1–2 min and at the peak reach a membrane potential near −40 mV. A 2− to 8−fold increase of membrane conductance accompanies the main depolarization, but a slight decrease of membrane conductance occurs during the slow depolarization. Two plausible mechanisms for the phenomenon are (a) periodic increases of membrane permeability to inorganic ions, particularly H⁺ or Cl^- and (b) periodic decreases in activity of the major electrogenic pump (H⁺) of the Neurospora membrane, coupled with a nonlinear (inverse sigmoid) current-voltage relationship.Identification of action potential-like disturbances in fungi means that such behavior has now been found in all major biologic taxa which have been probed with suitable electrodes. As yet there is no obvious function for the events in fungi.     

The bare necessities of plant K+ channel regulation

Potassium (K⁺) channels serve a wide range of functions in plants from mineral nutrition and osmotic balance to turgor generation for cell expansion and guard cell aperture control. Plant K⁺ channels are members of the superfamily of voltage-dependent K⁺ channels, or Kv channels, that include the Shaker channels first identified in fruit flies (Drosophila melanogaster). Kv channels have been studied in depth over the past half century and are the best-known of the voltage-dependent channels in plants. Like the Kv channels of animals, the plant Kv channels are regulated over timescales of milliseconds by conformational mechanisms that are commonly referred to as gating. Many aspects of gating are now well established, but these channels still hold some secrets, especially when it comes to the control of gating. How this control is achieved is especially important, as it holds substantial prospects for solutions to plant breeding with improved growth and water use efficiencies. Resolution of the structure for the KAT1 K⁺ channel, the first channel from plants to be crystallized, shows that many previous assumptions about how the channels function need now to be revisited. Here, I strip the plant Kv channels bare to understand how they work, how they are gated by voltage and, in some cases, by K⁺ itself, and how the gating of these channels can be regulated by the binding with other protein partners. Each of these features of plant Kv channels has important implications for plant physiology.     

Model predictions of myoelectrical activity of the small bowel

A mathematical model for the periodic electrical activity of a functional unit of the small intestine is developed. Based on real morphological and electrophysiological data, the model assumes that: the functional unit is an electromyogenic syncytium; the kinetics of L, T-type Ca²⁺, mixed Ca²⁺-dependent K⁺, potential sensitive K⁺ and Cl⁻ channels determines electrical activity of the functional unit; the basic neural circuit, represented by a single cholinergic neurone, provides an excitatory input to the functional unit via receptor-linked L-type Ca²⁺ channels. Numerical simulation of the model has shown that it is capable of displaying the slow waves and that slight modifications of some of the parameters result in different electrical responses. The effects of the variations of the main parameters have been analyzed for their ability to reproduce various electrical patterns. The results are in good qualitative and quantitative agreement with results of experiments conducted on the small intestine.     

Sodium Flux in Necturus Proximal Tubule under Voltage Clamp

Na transport and electrical properties of Necturus renal proximal tubules were analyzed, in vivo, by a voltage clamp method which utilizes an axial electrode in the tubule lumen for passage of current and simultaneous determination of net fluid (or Na) flux by the split droplet method. When the average spontaneous transepithelial potential difference of –8 mv (lumen negative) was reduced to zero by current passage, net Na flux doubled from a mean of 107 to 227 pmoles/cm² per sec. The relationship between flux and potential over the range –25 to +10 mv was nonlinear, with flux equilibrium at –15 mv and droplet expansion at more negative values. Calculated Na permeability at flux equilibrium was 7.0 x 10^–6 cm/sec. Voltage transients, similar to those caused by intraepithelial unstirred layers, were observed at the end of clamping periods. Tubular electrical resistance measured by brief square or triangle wave pulses (<100 msec) averaged 43 ohm cm². The epithelial current-voltage relationship was linear over the range –100 to +100 mv, but displayed marked hysteresis during low frequency (<0.04 Hz) triangle wave clamps. The low transepithelial resistance and large opposing unidirectional ion fluxes suggest that passive ionic movements occur across extracellular shunt pathways, while the voltage transients and current-voltage hysteresis are consistent with the development of a local osmotic gradient within epithelium.     

Analysis and use of the perforated patch technique for recording ionic currents in pancreaticβ-cells

Summary To investigate the voltage dependence of the Na^–/K^– pump, current-voltage relations were determined in prophasearrested oocytes ofXenopus laevis. All solutions contained 5mm Ba^2– and 20mm tetraethylammonium (TEA) to block K^– channels. If. in addition, the Na⁺/K⁺ pump is blocked by ouabain, K⁺-sensitive currents no larger than 50 nA/cm² remain. Reductions in steady-state current (on the order of 700 nA/cm²) produced by 50 m ouabain or dihydro-ouabain or by K⁺ removal, therefore, primarily represent current generated by the Na^–/K^– pump. In Na^–-free solution containing 5mm K⁺, Na⁺/K⁺ pump current is relatively voltage independent over the potential range from –160 to +40 mV. If external [K⁺] is reduced below 0.5mm, negative slopes are observed over this entire voltage range. Similar results are seen in Na⁺- and Ca²⁺-free solutions in the presence of 2mm Ni²⁺, an experimental condition designed to prevent Na⁺/Ca²⁺ exchange. The occurrence of a negative slope can be explained by the voltage dependence of the apparent affinity for activation of the Na⁺/K⁺ pump by external K⁺, consistent with the existence of an external ion well for K^– binding. In 90mm Na⁺, 5mm K⁺ solution, Na⁺/K⁺ pump current-voltage curves at negative membrane potentials have a positive slope and can be described by a monotonically increasing sigmoidal function. At an extracellular [K⁺] of 1.3mm, a negative slope was observed at positive potentials. These findings suggest that in addition to a voltage-dependent step associated with Na⁺ translocation, a second voltage-dependent step that is dependent on external [K⁺], possibly external K⁺ binding, participates in the overall reaction mechanism of the Na⁺/K⁺ pump.     

Voltage‐gated K+ channels play a role in cAMP‐stimulated neuritogenesis in mouse neuroblastoma N2A cells

Neuritogenesis is essential in establishing the neuronal circuitry. An important intracellular signal causing neuritogenesis is cAMP. In this report, we showed that an increase in intracellular cAMP stimulated neuritogenesis in neuroblastoma N2A cells via a PKA‐dependent pathway. Two voltage‐gated K⁺ (Kv) channel blockers, 4‐aminopyridine (4‐AP) and tetraethylammonium (TEA), inhibited cAMP‐stimulated neuritogenesis in N2A cells in a concentration‐dependent manner that remarkably matched their ability to inhibit Kv currents in these cells. Consistently, siRNA knock down of Kv1.1, Kv1.4, and Kv2.1 expression reduced Kv currents and inhibited cAMP‐stimulated neuritogenesis. Kv1.1, Kv1.4, and Kv2.1 channels were expressed in the cell bodies and neurites as shown by immunohistochemistry. Microfluorimetric imaging of intracellular [K⁺] demonstrated that [K⁺] in neurites was lower than that in the cell body. We also showed that cAMP‐stimulated neuritogenesis may not involve voltage‐gated Ca²⁺ or Na⁺ channels. Taken together, the results suggest a role of Kv channels and enhanced K⁺ efflux in cAMP/PKA‐stimulated neuritogenesis in N2A cells. J. Cell. Physiol. 226: 1090–1098, 2011. © 2010 Wiley‐Liss, Inc.     

Effects of Permeant Cations on K+ Channel Gating in Nerve Axons Revisited

An increase in extracellular potassium ion concentration, K _o , significantly slows the potassium channel deactivation rate in squid giant axons, as previously shown. Surprisingly, the effect does not occur in all preparations which, coupled with the voltage independence of this result in preparations in which it does occur, suggests that it is mediated at a site outside of the electric field of the channel, and that this site is accessible to potassium ions in some preparations, but not in others. In other words, the effect does not appear to be related to occupancy of the channel by potassium ions. This conclusion is supported by a four-barrier, three-binding site model of single file diffusion through the channel in which one site, at most, is unoccupied by a potassium ion (single-vacancy model). The model is consistent with current-voltage relations with various levels of K _o , and, by definition, with multiple occupancy by K⁺. The model predicts that occupancy of any given site is essentially independent of K _o (or K _i ). The effects of extracellular Rb⁺ and Cs⁺ on gating are strongly voltage dependent, and they were observed in all preparations investigated. Consequently, the mechanism underlying these results would appear to be different from that which underlies the effect of K⁺ on gating. In particular, the effect of Rb⁺ on gating is reduced by strong hyperpolarization, which in the context of the occupancy hypothesis, is consistent with the voltage dependence of the current-voltage relation in the presence of Rb⁺. The primary, novel, finding in this study is that the effects of Cs⁺ are counterintuitive in this regard. Specifically, the slowing of channel deactivation rate by Cs⁺ is also reduced by hyperpolarization, similar to the Rb⁺ results, whereas blockade is enhanced, which is seemingly inconsistent with the concept that occupancy of the channel by Cs⁺ underlies the effect of this ion on gating. This result is further elucidated by barrier modeling of the current-voltage relation in the presence of Cs⁺. Received: 19 December 1995/Revised: 10 June 1996     

The effect of melamine salt of bis(oxymethyl)phosphinic acid (melafen) on the growth processes and plasma membrane function in potato tuber cells

The effects of a new synthetic growth regulator, preparation melafen, on the growth processes in potato plant tubers and the H⁺-ATPase activity in cell plasmalemma were studied. It was demonstrated that melafen could both stimulate and inhibit the growth of potato tubers depending on its concentration and the physiological state of the tubers. It is likely that one of the manifestations of melafen action is its influence on the division and extension of apical meristem cells. The growth stimulation caused by melafen is connected with modifications of the plasmalemma of potato tuber cells, namely, the activation of H⁺-ATPase and increase in the membrane proton permeability.     

Electrophysiology of the marine diatom Coscinodiscus wailesii IV: types of non-linear current-voltage-time relationships recorded with single saw-tooth voltage-clamp experiments

Electrophysiological states of the marine diatom Coscinodiscus wailesii are known to change spontaneously in the temporal range of seconds. In order to assess the genuine current-voltage-time relationships of individual states in less than a second, voltage-clamp experiments have been carried out using single sweeps of saw-tooth shaped command voltages. This method is introduced with model calculations. Plotting the results in current-voltage coordinates provides convenient access to several electrophysiological entities, such as absence of drift (smoothly closed IV loops), membrane capacitance (by I jump at sign reversal of dV/dt), and ohmic conductances (in linear regions of the current-voltage relationship), as well as equilibrium voltage (internal intersection of capacitance-corrected, 8-shaped tracings) and coarse gating kinetics (rise or fall of capacitance-corrected I at sign reversal of dV/dt) of a voltage-sensitive ion conductance. From electrophysiological measurements with double-barreled glass-microelectrodes on C. wailesii, several distinct types of current-voltage loops are presented. Most of the data, including recordings from electrical excitation, can be interpreted as temporal relaxations of voltage-sensitive conductances for K⁺ and Cl⁻. A more detailed analysis of the effect of tetraethylammonium (TEA⁺) shows that 10 and 20 mM TEA⁺ inhibit the K⁺ conductance in C. wailesii only by up to about 20% but predominantly via a K⁺ outward rectifier. Received: 23 December 1998 / Revised version: 1 June 1999 / Accepted: 1 June 1999     

Relation between potassium-channel kinetics and the intrinsic dynamics in isolated retinal bipolar cells

Characterization of the intrinsic dynamics of isolated retinal bipolar cells by a whole-cell patch-clamp technique combined with estimation of effective impulse responses across a range of mean injected currents reveals strikingly adaptive behavior. At resting potential, bipolar cells' effective impulse response is slow, high gain, and low pass. Depolarization speeds up response, decreases gain, and, in most cells, induces bandpass behavior.This adaptive behavior involves two K⁺ currents. The delayed-rectifier accounts for the observed gain reduction, speed increase, and bandpass behavior. The A-channel further shortens the impulse responses but suppresses bandpass features. Computer simulations of model neurons with a delayed-rectifier and varying A-channel conductances reveal that impulse responses largely reflect the flux of electrical charge through the two K⁺ channels. The A-channel broadens the frequency response and preempts the action of the delayed-rectifier, thereby reducing the associated bandpass features. Admixtures of the two K⁺ channels produce the observed variety of dynamics of retinal bipolar cells.