ELECTRIC IMPEDANCE OF NITELLA DURING ACTIVITY

Revisiting plant electric signaling: Challenging an old phenomenon with novel discoveries

Higher plants efficiently orchestrate rapid systemic responses to diverse environmental stimuli through electric signaling. This review explores the mechanisms underlying two main types of electric signals in plants, action potentials (APs) and slow wave potentials (SWPs), and how new discoveries challenge conventional neurophysiological paradigms traditionally forming their theoretical foundations. Animal APs are biophysically well-defined, whereas plant APs are often classified based on their shape, lacking thorough characterization. SWPs are depolarizing electric signals deviating from this shape, leading to an oversimplified classification of plant electric signals. Indeed, investigating the generation and propagation of plant APs and SWPs showcases a complex interplay of mechanisms that sustain self-propagating signals and internally propagating stimuli, resulting in membrane depolarization, cytosolic calcium increase, and alterations in reactive oxygen species and pH. A holistic understanding of plant electric signaling will rely on unraveling the network of ion-conducting proteins, signaling molecules, and mechanisms for signal generation and propagation.

Membrane voltage as a dynamic platform for spatiotemporal signaling, physiological, and developmental regulation

Membrane voltage arises from the transport of ions through ion-translocating ATPases, ion-coupled transport of solutes, and ion channels, and is an integral part of the bioenergetic "currency" of the membrane. The dynamics of membrane voltage-so-called action, systemic, and variation potentials-have also led to a recognition of their contributions to signal transduction, both within cells and across tissues. Here, we review the origins of our understanding of membrane voltage and its place as a central element in regulating transport and signal transmission. We stress the importance of understanding voltage as a common intermediate that acts both as a driving force for transport-an electrical "substrate"-and as a product of charge flux across the membrane, thereby interconnecting all charge-carrying transport across the membrane. The voltage interconnection is vital to signaling via second messengers that rely on ion flux, including cytosolic free Ca2+, H+, and the synthesis of reactive oxygen species generated by integral membrane, respiratory burst oxidases. These characteristics inform on the ways in which long-distance voltage signals and voltage oscillations give rise to unique gene expression patterns and influence physiological, developmental, and adaptive responses such as systemic acquired resistance to pathogens and to insect herbivory.

The founding of Journal of General Physiology: Membrane permeation and ion selectivity

Hille recounts the founding years of JGP, including key articles that advanced the field of membrane permeation and ion selectivity.

This essay begins with a description of the founding years of Journal of General Physiology (JGP) and a historical overview of the content of the journal. It then turns to key conceptual articles published in JGP that advanced the field of membrane permeation and ion selectivity. Much of this information comes from reading the online archives of JGP and searches in PubMed.

Efficient Cancer Detection Using Multiple Neural Networks

The inspection of live excised tissue specimens to ascertain malignancy is a challenging task in dermatopathology and generally in histopathology. We introduce a portable desktop prototype device that provides highly accurate neural network classification of malignant and benign tissue. The handheld device collects 47 impedance data samples from 1 Hz to 32 MHz via tetrapolar blackened platinum electrodes. The data analysis was implemented with six different backpropagation neural networks (BNN). A data set consisting of 180 malignant and 180 benign breast tissue data files in an approved IRB study at the Aurora Medical Center, Milwaukee, WI, USA, were utilized as a neural network input. The BNN structure consisted of a multi-tiered consensus approach autonomously selecting four of six neural networks to determine a malignant or benign classification. The BNN analysis was then compared with the histology results with consistent sensitivity of 100% and a specificity of 100%. This implementation successfully relied solely on statistical variation between the benign and malignant impedance data and intricate neural network configuration. This device and BNN implementation provides a novel approach that could be a valuable tool to augment current medical practice assessment of the health of breast, squamous, and basal cell carcinoma and other excised tissue without requisite tissue specimen expertise. It has the potential to provide clinical management personnel with a fast non-invasive accurate assessment of biopsied or sectioned excised tissue in various clinical settings.

The voltage sensor module in sodium channels

The mechanism by which voltage-gated ion channels respond to changes in membrane polarization during action potential signaling in excitable cells has been the subject of research attention since the original description of voltage-dependent sodium and potassium flux in the squid giant axon. The cloning of ion channel genes and the identification of point mutations associated with channelopathy diseases in muscle and brain has facilitated an electrophysiological approach to the study of ion channels. Experimental approaches to the study of voltage gating have incorporated the use of thiosulfonate reagents to test accessibility, fluorescent probes, and toxins to define domain-specific roles of voltage-sensing S4 segments. Crystallography, structural and homology modeling, and molecular dynamics simulations have added computational approaches to study the relationship of channel structure to function. These approaches have tested models of voltage sensor translocation in response to membrane depolarization and incorporate the role of negative countercharges in the S1 to S3 segments to define our present understanding of the mechanism by which the voltage sensor module dictates gating particle permissiveness in excitable cells.

MscS-like mechanosensitive channels in plants and microbes

The challenge of osmotic stress is something all living organisms must face as a result of environmental dynamics. Over the past three decades, innovative research and cooperation across disciplines have irrefutably established that cells utilize mechanically gated ion channels to release osmolytes and prevent cell lysis during hypoosmotic stress. Early electrophysiological analysis of the inner membrane of Escherichia coli identified the presence of three distinct mechanosensitive activities. The subsequent discoveries of the genes responsible for two of these activities, the mechanosensitive channels of large (MscL) and small (MscS) conductance, led to the identification of two diverse families of mechanosensitive channels. The latter of these two families, the MscS family, consists of members from bacteria, archaea, fungi, and plants. Genetic and electrophysiological analysis of these family members has provided insight into how organisms use mechanosensitive channels for osmotic regulation in response to changing environmental and developmental circumstances. Furthermore, determining the crystal structure of E. coli MscS and several homologues in several conformational states has contributed to our understanding of the gating mechanisms of these channels. Here we summarize our current knowledge of MscS homologues from all three domains of life and address their structure, proposed physiological functions, electrophysiological behaviors, and topological diversity.

Plant ion channels: gene families, physiology, and functional genomics analyses

Distinct potassium, anion, and calcium channels in the plasma membrane and vacuolar membrane of plant cells have been identified and characterized by patch clamping. Primarily owing to advances in Arabidopsis genetics and genomics, and yeast functional complementation, many of the corresponding genes have been identified. Recent advances in our understanding of ion channel genes that mediate signal transduction and ion transport are discussed here. Some plant ion channels, for example, ALMT and SLAC anion channel subunits, are unique. The majority of plant ion channel families exhibit homology to animal genes; such families include both hyperpolarization- and depolarization-activated Shaker-type potassium channels, CLC chloride transporters/channels, cyclic nucleotide-gated channels, and ionotropic glutamate receptor homologs. These plant ion channels offer unique opportunities to analyze the structural mechanisms and functions of ion channels. Here we review gene families of selected plant ion channel classes and discuss unique structure-function aspects and their physiological roles in plant cell signaling and transport.

Electrophysiological effects of the aqueous extract of Averrhoa carambola L. leaves on the guinea pig heart

This work aims to describe some electrophysiological changes promoted by the aqueous extract (AEx) from Averrhoa carambola leaves in guinea pig heart. The experiments were carried out on isolated heart or on right atrium-ventricle preparations. In 6 hearts, the extract induced many kinds of atrioventricular blocks (1st, 2nd, and 3rd degrees); increased the QT interval from 229+/-23 to 264+/-19 ms; increased the QRS complex duration from 27+/-3.1 to 59+/-11 ms, and depressed the cardiac rate from 136+/-17 to 89+/-14b pm. Furthermore, it decreased the conduction velocity of atrial impulse (17+/-3%); reduced the intraventricular pressure (86+/-6%), and increased the conduction time between the right atrium and the His bundle (27+/-6.5%). The conduction time from the His bundle to the right ventricle was not altered. Atropine sulfate did not change either the electrocardiographic parameters or the intraventricular pressure effects promoted by the A. carambola AEx. Based on these results, the popular use of such extracts should be avoided because it can promote electrical and mechanical changes in the normal heart.

Historical overview on plant neurobiology

The review tracks the history of electrical long-distance signals from the first recordings of action potentials (APs) in sensitive Dionea and Mimosa plants at the end of the 19(th) century to their re-discovery in common plants in the 1950's, from the first intracellular recordings of APs in giant algal cells to the identification of the ionic mechanisms by voltage-clamp experiments. An important aspect is the comparison of plant and animal signals and the resulting theoretical implications that accompany the field from the first assignment of the term "action potential" to plants to recent discussions of terms like plant neurobiology.

Spontaneous rhythmical impedance changes in the trout’s egg

The phenomena recorded in this paper were discovered by accident. During experiments on the impedance of trout’s eggs, it was found that under certain conditions the impedance varied in a rhythmical manner. This proved to be a property of live eggs and not of dead eggs and to be independent of the apparatus. The effect therefore was systematically examined. Before discussing this effect, some analysis or definition of the electrical term impedance with respect to biological systems is desirable. The impedance Z of any system is its resistance to the passage of an alternating electrical current. If the current is direct, the impedance is replaced by the resistance which is related to the impressed electric current by the relationship R = E / I , (1) where R = resistance, E = voltage, and I = current.

The excitability of plant cells: with a special emphasis on characean internodal cells

This review describes the basic principles of electrophysiology using the generation of an action potential in characean internodal cells as a pedagogical tool. Electrophysiology has proven to be a powerful tool in understanding animal physiology and development, yet it has been virtually neglected in the study of plant physiology and development. This review is, in essence, a written account of my personal journey over the past five years to understand the basic principles of electrophysiology so that I can apply them to the study of plant physiology and development. My formal background is in classical botany and cell biology. I have learned electrophysiology by reading many books on physics written for the lay person and by talking informally with many patient biophysicists. I have written this review for the botanist who is unfamiliar with the basics of membrane biology but would like to know that she or he can become familiar with the latest information without much effort. I also wrote it for the neurophysiologist who is proficient in membrane biology but knows little about plant biology (but may want to teach one lecture on "plant action potentials"). And lastly, I wrote this for people interested in the history of science and how the studies of electrical and chemical communication in physiology and development progressed in the botanical and zoological disciplines.

Exponential activation of the cardiac Na+ current in single guinea-pig ventricular cells

1. The cardiac Na+ current of guinea-pig was recorded using an improved oil-gap voltage clamp method. When a single ventricular cell was stretched between the internal and external solution compartments across an oil gap of about 40 microns in width, the sealing resistance in the oil gap was higher than 1 G omega and the time constant of the capacitive current was between 10 and 40 microseconds. Effective series resistance (Rs) was less than 50 k omega after Rs compensation. 2. The activation time course (I'Na) was separated from inactivation by dividing the digitized record of Na+ current with the inactivation variable h(t), which was obtained by fitting exponential functions to the decaying phase of current. I'Na started as a single exponential activation at time 0, which was defined by the decay of the capacitive current to 5% of its peak. 3. The Na+ tail current was recorded on repolarization after a short (1.2 ms) depolarizing pulse to -10 mV. Its single exponential decay at potentials negative to -50 mV, or its major exponential component of decay between -50 and -30 mV, was attributed to deactivation. The time constants of deactivation were similar to those of activation which were measured from I'Na on depolarization to comparable potentials. The m1 kinetics gave a better fit for Na+ activation than the m3 kinetics. 4. The time constant of deactivation was a linear function of the membrane potential on a semilogarithmic scale with an e-fold increase per 21.6 +/- 1.3 mV (n = 8) depolarization. The steady-state activation value (m(infinity)) was obtained from the amplitude of I'Na. Fitting a Boltzmann equation indicated a half-activation potential of -21.9 +/- 1.7 mV and a slope factor of 7.9 +/- 0.4 mV (n = 9). 5. m1 kinetics are more pertinent to a description of the cardiac Na+ current. Limitations in analysing the activation kinetics of Na+ current are discussed for the improved oil-gap voltage clamp method.

Tansley Review No. 21 Plant ion channels: whole-cell and single channel studies

Ion channels are proteins which catalyse rapid, passive, electrogenic uniport of ions through pores spanning an otherwise poorly permeable lipid bilayer. Among other processes, fluxes through ion channels are responsible for action potentials - large, transient changes in membrane potential which have been known of in plants for over 100 years. Much disparate information on ion channels in plant cells has accumulated over the past few years. In an attempt to synthesize these data, the properties of at least 18 different ion channels are collated in this review. Channels are initially classified according to ion selectivity (Ca²⁺ , Cl^- , K⁺ and H⁺ ); then gating characteristics (i.e. control of opening and closing), unitary conductance and pharmacology are used to distinguish further different sub-types of channels. To provide a background for this overview, the fundamental properties which define ion channels in animal cells, namely conduction, selectivity and gating, are described. Appropriate techniques for the study of ion channels are also assessed. The review concludes with a discussion on the role of ion channels in plant cells, although any comment on functions beyond turgor regulation and general statements about signalling remains largely speculative. The study of ion channels in plant cells is still at an early stage and it is hoped that this review will provide a framework upon which further work in both algae and vascular plants can be based. CONTENTS Summary 305 I. Introduction: plant electrophysiology 306 II. A general description of ion channels 306 III. Ion channels in plants 310 IV. Ca²⁺ channels 313 V. Cl^- channels 315 VI. K⁺ channels in the plasma membrane 318 VII. K⁺ channels in the tonoplast 322 VIII. Channels in thylakoids 324 IX. H⁺ channels 324 X. Functions of channels 325 XI. Conclusions 328 Acknowledgements 328 References 329.

Quantitative analysis of outward rectifying K+ channel currents in guard cell protoplasts from Vicia faba

A quantitative analysis of the time and voltage dependence of outward-rectifying K+ currents (IK+, out) in guard cells from Vicia faba is described using the whole-cell patch-clamp technique. After step depolarizations from -75 mV to potentials positive to -40 mV, time-dependent outward currents were produced, which have recently been identified as K+ channel currents. This K+ current was characterized according to its time dependence and its steady-state activation. IK+, out could be described in terms of a Hodgkin-Huxley type conductance. Activation of the current in time was sigmoid and was well fitted by raising the activation variable to the second power. Deactivating tail currents were single exponentials, which suggests that only one conductance underlies this slow outward K+ current. Rates of channel closing were strongly dependent on the membrane potential, while rates of channel opening showed only limited voltage dependence leading to a highly asymmetric voltage dependence for channel closing and opening. The presented analysis provides a quantitative basis for the understanding of IK+, out channel gating and IK+, out channel functions in plant cells.

The role of giant axons in studies of the nerve impulse

The large size of the individual axons in the motor nerves of certain invertebrates has facilitated technical approaches that were not feasible elsewhere. A brief account is given of the way in which giant axons have taken and held the lead in research on the mechanism of conduction.

Interaction between ventricular cells during the early part of excitation in the ferret heart

The source-load interaction during impulse propagation of excited and unexcited cells respectively was studied in the working myocardium. Velocity of propagation and the shape of the early part of the action potential was measured in ferret papillary muscles or trabeculae with the preparation surrounded by either a large volume or a thin layer of Tyrode solution, the latter situation being established by means of a silicone fluid bath technique. Quick changes between the two situations resulted in changes in the time constant of the foot of the action potential and maximal rate of depolarization of the action potential and in changes in excitation lag of the more deeply placed cells with respect to the surface cells. These results could be explained by the effect of changes in the shape of the wavefront of excitation. With a large Tyrode volume around the preparation, corresponding to physiological conditions, the curved configuration of the wavefront of excitation was so pronounced that one-dimensional cable theory was highly inadequate to describe the conditions for propagation.

Acid-base and electrolyte balance after exhausting exercise in endurance-trained and sprint-trained subjects

High ability to perform strenuous exercise of short duration is accompanied by a large lactate formation in the exercising muscles, but the disturbances in extracellular acid-base and electrolyte balance might be attenuated compared to subjects with less ability to perform intense exercise. To study this, oxygen deficit, changes in arterial blood acid-base status and plasma electrolytes were studied in six-endurance trained (ET) and six sprint-trained (ST) subjects who exercised on a treadmill at a speed which led to exhaustion within 1 min. During exercise the ET and ST subjects developed an oxygen deficit of 41 and 56 ml oxygen units kg-1 respectively, whereas peak blood lactate concentration post exercise averaged 12.5 and 16.7 mmol l-1. Blood pH followed lactate concentration closely, reaching nadir values of 7.175 and 7.065 for ET and ST subjects respectively. Respiratory compensation and changes in blood bicarbonate and standard base deficit (SBD) concentrations for a given lactate concentration were the same for the two groups, amounting to a change in PCO2 of 0.12 kPa, in bicarbonate concentration of 1.09 mmol l-1 and in SBD of 1.44 mmol l-1 mM-1 change in blood lactate concentration. During exercise the increase in haematocrit, from to 43 to 45% for the ET subjects and from 46 to 50% for the ST subjects, was accompanied by almost parallel relative changes in plasma chloride and sodium concentrations. Whereas haematocrit continued to increase post exercise and followed blood lactate concentration closely, plasma sodium and chloride concentrations decreased to pre-exercise values within 9 min of recovery. The anion gap increased significantly more than blood lactate concentration. Thus, ST subjects were capable of accumulating more lactate in blood compared with ET subjects, but at the expense of a lower pH, since the buffer capacity seemed to be the same for the two groups. The acidosis, which was larger than could be accounted for by lactic acid, was associated with an inexplicably large anion gap.

Experimental study of the conducted action potential in cardiac Purkinje strands

Conduction velocity is a complex physiological process that integrates the active and passive properties of the excitable cell. The relations between these properties in determining the conduction velocity are not intuitively obvious, and models have been used frequently to illustrate important relationships. To study the relationships of important parameters and to evaluate commonly used models, we changed conduction velocity experimentally in sheep cardiac Purkinje strands by reducing extracellular Na systematically. Cable analyses were also performed to obtain passive membrane and cable properties. Resting membrane resistance and capacitance did not change, nor did core resistance. Active properties measured in addition to conduction velocity included maximal upstroke velocity, action potential height, time constant of the foot, peak inward current, and upstroke power. With reduction in extracellular Na, all of these parameters of the action potential changed nonlinearly and not in direct proportion to the change in conduction velocity. The only simple relation found was a linear relationship between maximal upstroke velocity and peak inward current, normalized by the capacity of the foot. Models based on the cable equation and the wave equation offer a basis for quantitative analysis of conduction, and these data can be used to test the models.

Electrical membrane phenomena in spherules from proteinoid and lecithin

Spontaneous and induced electrical phenomena resembling membrane and action potentials in natural excitable cells have been observed in artificial cells. These artificial cells were made from thermal proteinoid and lecithin in a solution of potassium acid phosphate with glycerol.

An analysis of the cable properties of frog ventricular myocardium

1. The passive and active electrical parameters of frog ventricular myocardium have been measured. 2. The cytoplasmic resistivity has been determined by following changes in the resistance of a micro-electrode on penetration of a cell. 3. Unidimensional cable analysis using direct and alternating currents revealed the presence of a single time constant attributed to the surface membrane. 4. Longitudinal impedance measurements indicate that a second time constant is present in the intracellular pathway. 5. The results indicate that the resistance between cells is low so that action potentials can propagate from cell to cell by local circuits. 6. A three-dimensional cable analysis has also been carried out and compared to a simplified mathematical model which is presented in an Appendix and which closely approximates the experimental situation.

Dipole moment changes and voltage dependent membrane capacity of squid axon

Changes in the membrane capacity of squid axons during hyper- and depolarizations are measured between --160 and +40 mV. After corrections for the series resistance and fringe effect, we found that the membrane capacity increased from 0.68 to 1.2 muF/cm2 with depolarization. It was further observed that tetrodotoxin the external medium eliminated the change in membrane capacity without affecting the conductivity. The voltage-dependent membrane conductivity is, in turn, greatley reduced by the internal cesium ion. These observations clearly indicate that the voltage-dependent membrane capacity and conductivity are closely related to ionic channels. Particularly, the increase in membrane capacity with depolarizations may be due to sodium channels. The change in the dipole moment associated with sodium sites was determined using values of alpham and betam at various depolarizations. We found, based on voltage clamp measurements, that the increase in the dipole moment of the sodium site between --40 and --5 mV is 1230 Debye units (D.U.) and 930 D.U. between --5 and +60mV, indicating that the depolarization of sodium channels may consist of two different steps.

Phase-plane analysis of action potentials in uterine smooth muscle

Action potentials were recorded by microelectrode from narrow strips of pregnant rat uterus in vitro. The phase-plane display (V vs dV/dt) of selected action potentials was analysed by the method of Jenerick (1964) to yield the ionic current. From this membrane current data, various parameters of the action potential were calculated. In comparison to skeletal muscle action potentials, the ionic currents were 30-100 times smaller in the uterus action potential. Epinephrine hyperpolarized the resting potentials and suppressed spontaneous activity, but did not cause any significant changes in the stimulated action potential. The after-potential may have been affected by epinephrine, preventing repetitive firing, but the data were inconclusive. The phase-plane analysis results were similar to the results of the double sucrose gap voltage clamp method on the same tissue (Kao and McCullough, 1975).

Electrical properties of squid axon membrane. II. Effect of partial degradation by phospholipase A and pronase on electrical characteristics

Passive electrical characteristics of perfused squid axon membrane are investigated. In a previous publication, we reported that the capacitance of intact squid axon membrane is partly frequency dependent. We extended the same measurement to perfused axons. We found that the electrical characteristics of perfused axon membrane are essentially the same as those of intact axons. In this work, we investigated the effects of phospholipase A and pronase on the membrane capacitance. Phospholipase A is known to block the sodium activation and pronase to eliminate the sodium inactivation. Phospholipase A is found to increase the frequency dependent as well as the frequency independent capacitances. Our tentative conclusion is that this enzyme perturbs the lipid structure and decreases its thickness. Pronase is found to increase the frequency dependent capacitance slightly while the capacitance of the lipid layer remains unaltered. Although voltage clamp data indicate that the pronase disrupts the excitatory mechanism extensively, this enzyme has relatively little effect on the overall membrane capacitance.

Anomalous reactances in electrodiffusion systems

A frequency response analysis of a constrained diffusion boundary has been made by linearizing the Nernst-Planck equations for a small applied AC current. The number of time constants and their dependence on ionic concentrations and electric field as well as membrane parameters such as dielectric constant, thickness, etc. have been evaluated by this method. Numerical solutions have been carried out for cases when the Planck charging time can be neglected and the results are presented in the form of impedance loci. These impedance loci show that if the membrane separates two univalent electrolytes with a common anion it will exhibit a combined capacitative inductive response with a 90 degrees phase angle. The dependence of these anomalous reactances on ionic concentrations and the electric field is consistent with the behavior of the Hodgkin-Huxley axon suggesting that a homogeneous electrodiffusion regime could be adequate as a basic model for the kinetic behavior of biological membranes.

Analysis of the membrane capacity in frog muscle

1. The membrane capacity (C(f)) was determined from the conduction velocity and the time constant of the foot of the action potential in frog's skeletal muscle.2. In normal fibres C(f) was 2.6 muF/cm(2), and the value was almost constant over a range of diameter from 55 to 140 mu.3. In fibres, in which the transverse tubular system was disconnected from the surface by the glycerol treatment, C(f) was 0.9 muF/cm(2) and was fairly constant over a range of diameter from 60 to 130 mu. The low frequency capacity in glycerol-treated fibres was 1.9 muF/cm(2).4. These results as well as those obtained at low frequencies were consistent with the electrical model proposed by Adrian, Chandler & Hodgkin (1969).5. Analysis in terms of the model and of Peachey's (1965) data on tubular dimensions led to the following quantitative conclusions. The capacities of the surface membrane (C(S)) and of the tubular wall (C(W)) are both about 1 muF/cm(2). The conductances of the surface membrane (G(S)) and tubular wall (G(W)) are ca. 0.11 and 0.03 mmho/cm(2), respectively. The conductivity of the luminal fluid in the tubules is ca. 6 mmho/cm.