Computer simulations of neuron-glia interactions mediated by ion flux

Extracellular potassium concentration, [K⁺]_o, and intracellular calcium, [Ca²⁺]_i, rise during neuron excitation, seizures and spreading depression. Astrocytes probably restrain the rise of K⁺ in a way that is only partly understood. To examine the effect of glial K⁺ uptake, we used a model neuron equipped with Na⁺, K⁺, Ca²⁺ and Cl⁻ conductances, ion pumps and ion exchangers, surrounded by interstitial space and glia. The glial membrane was either “passive”, incorporating only leak channels and an ion exchange pump, or it had rectifying K⁺ channels. We computed ion fluxes, concentration changes and osmotic volume changes. Increase of [K⁺]_o stimulated the glial uptake by the glial 3Na/2K ion pump. The [K⁺]_o flux through glial leak and rectifier channels was outward as long as the driving potential was outwardly directed, but it turned inward when rising [K⁺]_o/[K⁺]_i ratio reversed the driving potential. Adjustments of glial membrane parameters influenced the neuronal firing patterns, the length of paroxysmal afterdischarge and the ignition point of spreading depression. We conclude that voltage gated K⁺ currents can boost the effectiveness of the glial “potassium buffer” and that this buffer function is important even at moderate or low levels of excitation, but especially so in pathological states.     

Seizure-like afterdischarges simulated in a model neuron

To explore non-synaptic mechanisms in paroxysmal discharges, we used a computer model of a simplified hippocampal pyramidal cell, surrounded by interstitial space and a “glial-endothelial” buffer system. Ion channels for Na⁺, K⁺, Ca²⁺ and Cl⁻ _, ion antiport 3Na/Ca, and “active” ion pumps were represented in the neuron membrane. The glia had “leak” conductances and an ion pump. Fluxes, concentration changes and cell swelling were computed. The neuron was stimulated by injecting current. Afterdischarge (AD) followed stimulation if depolarization due to rising interstitial K⁺ concentration ([K⁺]_o) activated persistent Na⁺ current (I _Na,P). AD was either simple or self-regenerating; either regular (tonic) or burst-type (clonic); and always self-limiting. Self-regenerating AD required sufficient I _Na,P to ensure re-excitation. Burst firing depended on activation of dendritic Ca²⁺ currents and Ca-dependent K⁺ current. Varying glial buffer function influenced [K⁺]_o accumulation and afterdischarge duration. Variations in Na⁺ and K⁺ currents influenced the threshold and the duration of AD. The data show that high [K⁺]_o and intrinsic membrane currents can produce the feedback of self-regenerating afterdischarges without synaptic input. The simulated discharge resembles neuron behavior during paroxysmal firing in living brain tissue. Action Editor: David Terman     

The role of extracellular potassium dynamics in the different stages of ictal bursting and spreading depression: A computational study

Experimental evidences point out the participation of nonsynaptic mechanisms (e.g., fluctuations in extracellular ions) in epileptiform bursting and spreading depression (SD). During these abnormal oscillatory patterns, it is observed an increase of extracellular potassium concentration [K⁺]_o and a decrease of extracellular calcium concentration [Ca²⁺]_o which raises the neuronal excitability. However, whether the high [K⁺]_o triggers and propagates these abnormal neuronal activities or plays a secondary role into this process is unclear. To better understand the influence of extracellular potassium dynamics in these oscillatory patterns, the experimental conditions of high [K⁺]_o and zero [Ca²⁺]_o were replicated in an extended Golomb model where we added important regulatory mechanisms of ion concentration as Na⁺-K⁺ pump, ion diffusion and glial buffering. Within these conditions, simulations of the cell model exhibit seizure-like discharges (ictal bursting). The SD was elicited by the interruption of the Na⁺−K⁺ pump activity, mimicking the effect of cellular hypoxia (an experimental protocol to elicit SD, the hypoxia-induced SD). We used the bifurcation theory and the fast-slow method to analyze the interference of K⁺ dynamics in the cellular excitability. This analysis indicates that the system loses its stability at a high [K⁺]_o, transiting to an elevated state of neuronal excitability. Effects of high [K⁺]_o are observed in different stages of ictal bursting and SD. In the initial stage, the increase of [K⁺]_o creates favorable conditions to trigger both oscillatory patterns. During the neuronal activity, a continuous growth of [K⁺]_o by outward K⁺ flow depresses K⁺ currents in a positive feedback way. At the last stage, due to the depression of K⁺ currents, the Na⁺-K⁺ pump is the main mechanism in the end of neuronal activity. Thus, this work suggests that [K⁺]_o dynamics may play a fundamental role in these abnormal oscillatory patterns.     

Pharmacological blockade of gap junctions induces repetitive surging of extracellular potassium within the locust CNS

The maintenance of cellular ion homeostasis is crucial for optimal neural function and thus it is of great importance to understand its regulation. Glial cells are extensively coupled by gap junctions forming a network that is suggested to serve as a spatial buffer for potassium (K⁺) ions. We have investigated the role of glial spatial buffering in the regulation of extracellular K⁺ concentration ([K⁺]_o) within the locust metathoracic ganglion by pharmacologically inhibiting gap junctions. Using K⁺-sensitive microelectrodes, we measured [K⁺]_o near the ventilatory neuropile while simultaneously recording the ventilatory rhythm as a model of neural circuit function. We found that blockade of gap junctions with either carbenoxolone (CBX), 18β-glycyrrhetinic acid (18β-GA) or meclofenamic acid (MFA) reliably induced repetitive [K⁺]_o surges and caused a progressive impairment in the ability to maintain baseline [K⁺]_o levels throughout the treatment period. We also show that a low dose of CBX that did not induce surging activity increased the vulnerability of locust neural tissue to spreading depression (SD) induced by Na⁺/K⁺-ATPase inhibition with ouabain. CBX pre-treatment increased the number of SD events induced by ouabain and hindered the recovery of [K⁺]_o back to baseline levels between events. Our results suggest that glial spatial buffering through gap junctions plays an essential role in the regulation of [K⁺]_o under normal conditions and also contributes to a component of [K⁺]_o clearance following physiologically elevated levels of [K⁺]_o.     

Resting potential of the mouse neuroblastoma cells: I. The presence of K+ channels activated at high K+ concentration but closed at low K+ concentration including the physiological concentration

The effects of changes in extracellular K⁺ concentration ([K⁺]_o) on the resting membrane potential, the input resistance and ⁸⁶Rb efflux (as a marker of K⁺ efflux) were examined with use of the cultured mouse neuroblastoma cells (N-18 clone). The results obtained are as follows. (1) The membrane potential was depolarized, with an increase in [K⁺]_o at concentrations above 10–20 mM at a rate of 55–58 mV per 10-fold change in [K⁺]_o, but practically unchanged with varying [K⁺]_o below this concentration. (2) Above the critical [K⁺]_o of 10–20 mM, the input membrane resistance decreased sharply by a factor of $\text{1}\text{4}\text{?}\text{1}\text{5}$ with an increase in [K⁺]_o. A similar decrease in the resistance occurred even under the conditions that the membrane potential was held at control level (about ?55 mV) by a steady-state current passage. (3) Elimination of Na⁺ and Cl^? from the external solution brought about practically no change in the membrane potential. (4) A fractional escape rate of ⁸⁶Rb from N-18 cells remained constant at relatively low level (0.125%/min on average) in the low [K⁺]_o range, but increased sharply with increasing [K⁺]_o above 15 mM (e.g., approx. 3.4- and 4.5-fold at 30 and 100 mM [K⁺]_o, respectively). (5) The high K⁺-induced ⁸⁶Rb efflux was not practically inhibited by 1 mM tetraethylammonium or 0.1 mM 4-aminopyridine, indicating that the K⁺ channels activated by an elevation of [K⁺]_o are not the delayed (voltage-dependent) K⁺ channels. The present results favoured the conclusion that N-18 cells carry K⁺ channels which open at high [K⁺]_o but are closed at low [K⁺]_o including the physiological range for the mouse neuroblastoma cells (around 5.4 mM). This conclusion leads to the notion that in the mouse neuroblastoma N-18 cells the K⁺ permeability does not mainly contribute to determining the resting membrane potential under physiological conditions.     

Interaction between synaptic inhibition and glial-potassium dynamics leads to diverse seizure transition modes in biophysical models of human focal seizures

How focal seizures initiate and evolve in human neocortex remains a fundamental problem in neuroscience. Here, we use biophysical neuronal network models of neocortical patches to study how the interaction between inhibition and extracellular potassium ([K ⁺] _o ) dynamics may contribute to different types of focal seizures. Three main types of propagated focal seizures observed in recent intracortical microelectrode recordings in humans were modelled: seizures characterized by sustained (～30?60 Hz) gamma local field potential (LFP) oscillations; seizures where the onset in the propagated site consisted of LFP spikes that later evolved into rhythmic (～2?3 Hz) spike-wave complexes (SWCs); and seizures where a brief stage of low-amplitude fast-oscillation (～10?20 Hz) LFPs preceded the SWC activity. Our findings are fourfold: (1) The interaction between elevated [K ⁺] _o (due to abnormal potassium buffering by glial cells) and the strength of synaptic inhibition plays a predominant role in shaping these three types of seizures. (2) Strengthening of inhibition leads to the onset of sustained narrowband gamma seizures. (3) Transition into SWC seizures is obtained either by the weakening of inhibitory synapses, or by a transient strengthening followed by an inhibitory breakdown (e.g. GABA depletion). This reduction or breakdown of inhibition among fast-spiking (FS) inhibitory interneurons increases their spiking activity and leads them eventually into depolarization block. Ictal spike-wave discharges in the model are then sustained solely by pyramidal neurons. (4) FS cell dynamics are also critical for seizures where the evolution into SWC activity is preceded by low-amplitude fast oscillations. Different levels of elevated [K ⁺] _o were important for transitions into and maintenance of sustained gamma oscillations and SWC discharges. Overall, our modelling study predicts that the interaction between inhibitory interneurons and [K ⁺] _o glial buffering under abnormal conditions may explain different types of ictal transitions and dynamics during propagated seizures in human focal epilepsy.     

Molecular substrates of potassium spatial buffering in glial cells

It is generally accepted that the foremost mechanism for the buffering of K⁺ from the extracellular space ([K⁺]_o) in the brain is “K⁺ spatial buffering.” This is the process by which glial cells dissipate local K⁺ gradients by transferring K⁺ ions from areas of high to low [K⁺]_o. These glial K⁺ fluxes are mediated mainly by inwardly rectifying K⁺ (Kir) channels. The K⁺ spatial buffering hypothesis has been tested and confirmed in the retina, in which is has been termed as “K⁺ siphoning”. In Müller cells, the primary glial cells of the retina, Kir channels are distributed in a highly non-uniform manner, exhibiting high concentrations in membrane domains facing the vitreous humor (endfeet) and in proximity to the blood vessels (perivascular processes). Such non-uniform distribution of Kir channels facilitates directed K⁺ fluxes in the retina from the synaptic plexiform layers to the vitreous humor and blood vessels. Recent molecular and electrophysiological studies in Müller cells have revealed a high degree of complexity in terms of Kir channel subunit composition, mechanisms of subcellular localization, and regulation. How such complexity fits into their proposed role in buffering [K⁺]_o in retina is the main topic of this article.     

Studies on Electrogenesis under High K+ Concentrations in Internodal Cells of Chara corallina

+ concentration ([K⁺]_o) on the membrane potential (E_m) of Chara corallina was studied. E_m more negative than -100 mV was maintained even at 100 mM [K⁺]_o. Addition of Ca²⁺ to the external medium further increased this tendency. However, E_m responded sensitively to the increase in [K⁺]_o, when the electrogenic proton pump of the plasma membrane was inhibited by treating cells with dicyclohexylcarbodiimide, an inhibitor of proton pump. Analysis using equivalent circuit model of the plasma membrane suggested that the electrogenic proton pump was activated by the increase in [K⁺]_o. In the presence of 100 mM K⁺, action potentials were generated by electric stimuli. The ionic mechanism of generation of action potentials in the presence of K⁺ at high concentration was discussed. Received 3 October 2000/ Accepted in revised form 6 January 2001     

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.     

Effects of potassium on the anion and cation contents of primary cultures of mouse astrocytes and neurons

Inastrocytes, as [K⁺]_o was increased from 1.2 to 10 mM, [K⁺]_i and [Cl^–]_i were increased, whereas [Na⁺]_i was decreased. As [K⁺]_o was increased from 10 to 60 mM, intracellular concentration of these three ions showed no significant change. When [K⁺]_o was increased from 60 to 122 mM, an increase in [K⁺]_i and [Cl^–]_i and a decrease in [Na⁺]_i were observed.Inneurons, as [K⁺]_o was increased from 1.2 to 2.8 mM, [Na⁺]_i and [Cl^–]_i were decreased, whereas [K⁺]_i was increased. As [K⁺]_o was increased from 2.8 to 30 mM, [K⁺]_i, [Na⁺]_i and [Cl^–]_i showed no significant change. When [K⁺]_o was increased from 30 to 122 mM, [K⁺]_i and [Cl^–]_i were increased, whereas [Na⁺]_i was decreased. Inastrocytes, pH_i increased when [K⁺]_o was increased. Inneurons, there was a biphasic change in pH_i. In lower [K⁺]_o (1.2–2.8 mM) pH_i decreased as [K⁺]_o increased, whereas in higher [K⁺]_o (2.8–122 mM) pH_i was directly related to [K⁺]_o. In bothastrocytes andneurons, changes in [K⁺]_o did not affect the extracellular water content, whereas the intracellular water content increased as the [K⁺]_o increased. Transmembrane potential (E_m) as measured with Tl-204 was inversely related to [K⁺]_o between 1.2 and 90 mM, a ten-fold increase in [K⁺]_o depolarized the astrocytes by about 56 mV and the neurons about 52 mV. The E_m values measured with Tl-204 were close to the potassium equilibrium potential (E_k) except those in neurons at lower [K⁺]_o. However, they were not equal to the chloride equilibrium potential (E_Cl) at [K⁺]_o lower than 30 mM in both astrocytes and neurons. Results of this study demonstrate that alteration of [K⁺]_o produced different changes in [K⁺]_i, [Na⁺]_i, [Cl^–]_i, and pH_i in astrocytes and neurons. The data show that astrocytes can adapt to alterations in [K⁺]_o, in such a way to maintain a more suitable environment for neurons.     

Effect of intracellular potassium upon the electrogenic pump of frog retinal pigment epithelium

Summary We have studied the hyperpolarizing, electrogenic pump located on the apical membrane of the retinal pigment epithelium (RPE) in anin vitro preparation of bullfrog RPE-choroid. Changes in RPE [K⁺] _i alter the current produced by this pump. Increasing [K⁺] _o in the solution perfusing thebasal membrane increases RPE [K⁺] _i (measured with a K⁺-specific microelectrode), and also depolarizes theapical membrane. This depolarization is due to a decrease in electrogenic pump current flowing across the apical membrane resistance, since it is abolished when the pump is inhibited by apical ouabain, by cooling the tissue, or by 0mm [K⁺] _o outside the apical membrane. Removal of Cl^– from the solution perfusing the basal membrane abolishes the K⁺-evoked apical depolarization by preventing the entry of K⁺ (as KCl) into the cell. We conclude that the increase in [K⁺] _i causes the decrease in pump current. This result is consistent with the finding that [K⁺] _i is a competitive inhibitor of the Na⁺–K⁺ pump in red blood cells.It is possible that the light-evoked changes in [K⁺] _o in the distal retina could alter RPE [K⁺] _i , and thus could affect the pump from both sides of the apical membrane. Any change in pump current is likely to influence retinal function, since this pump helps to determine the composition of the photoreceptor extracellular space.     

The dual effect of rubidium ions on potassium efflux in depolarized frog skeletal muscle

Summary The effects of external Rb⁺ on the efflux of⁴²K⁺ from whole frog sartorius muscles loaded with 305mm K⁺ and 120mm Cl^– were studied. K⁺ efflux is activated by [Rb⁺] _o less than about 40mm according to a sigmoid relation similar to that for activation by [K⁺] _o . At [Rb⁺]_o greater than 40mm, K⁺ efflux declines, although at [Rb⁺] _o =300mm it is still greater than at [Rb⁺] _o =0mm. For low concentrations, the increment in K⁺ efflux over that in K⁺- and Rb⁺-free solution, k, is described by the relation k=a[X⁺] _o ⁿ , for both K⁺ and Rb⁺. The value ofa is larger for Rb⁺ than for K⁺, while the values ofn are similar; the activation produced by a given [Rb⁺] _o is larger than that by an equal [K⁺] _o for concentrations less than about 40mm. Adding a small amount of Rb⁺ to a K⁺-containing solution has effects on K⁺ efflux which depend on [K⁺] _o . At low [K⁺] _o , adding Rb⁺ increases K⁺ efflux, the effect being greatest near [K⁺] _o =30mm and declining at higher [K⁺] _o ; at [K⁺] _o above 40mm, addition of Rb⁺ decreases K⁺ efflux. At [K⁺] _o above 75mm, where K⁺ efflux is largely activated, Rb⁺ reduces K⁺ efflux by a factorb, described by the relationb=1/(1+c[Rb⁺] _o ). Activation is discussed in terms of binding to at least two sites in the membrane, and the reduction in K⁺ efflux by Rb⁺ at high [K⁺] _o in terms of association with an additional inhibitory site.     

Temporary Sequestration of Potassium by Mitochondria in Astrocytes

Increases in extracellular potassium concentration ([K⁺]_o), which can occur during neuronal activity and under pathological conditions such as ischemia, lead to a variety of potentially detrimental effects on neuronal function. Although astrocytes are known to contribute to the clearance of excess K⁺_o, the mechanisms are not fully understood. We examined the potential role of mitochondria in sequestering K⁺ in astrocytes. Astrocytes were loaded with the fluorescent K⁺ indicator PBFI and release of K⁺ from mitochondria into the cytoplasm was examined after uncoupling the mitochondrial membrane potential with carbonyl cyanide m-chlorophenylhydrazone (CCCP). Under the experimental conditions employed, transient applications of elevated [K⁺]_o led to increases in K⁺ within mitochondria, as assessed by increases in the magnitudes of cytoplasmic [K⁺] ([K⁺]_i) transients evoked by brief exposures to CCCP. When mitochondrial K⁺ sequestration was impaired by prolonged application of CCCP, there was a robust increase in [K⁺]_i upon exposure to elevated [K⁺]_o. Blockade of plasmalemmal K⁺ uptake routes by ouabain, Ba²⁺, or a mixture of voltage-activated K⁺ channel inhibitors reduced K⁺ uptake into mitochondria. Also, reductions in mitochondrial K⁺ uptake occurred in the presence of mito-K_ATP channel inhibitors. Rises in [K⁺]_i evoked by brief applications of CCCP following exposure to high [K⁺]_o were also reduced by gap junction blockers and in astrocytes isolated from connexin43-null mice, suggesting that connexins also play a role in K⁺ uptake into astrocyte mitochondria. We conclude that mitochondria play a key role in K⁺_o handling by astrocytes.     

The Membrane Potential of Acetabularia mediterranea

The cytoplasm of an Acetabularia cell is normally at a potential of about -170 mv relative to the external solution; the vacuole is also at this potential. Although there is strict flux equilibrium for all ions, the potential is more negative than the Nernst potentials of any of the permeating ions. Darkness, CCCP, low temperature, and reducing [Cl^-]_o by a factor of 25 all rapidly depolarize the membrane and inhibit Cl^- influx. Some of these treatments do not inhibit the effluxes of K⁺ and Na⁺. Increasing [K⁺]_o also depolarizes the membrane both under normal conditions and at low temperature; in the latter case the membrane is partially depolarized in normal seawater (low [K⁺]_o) and in high [K⁺]_o positive potentials of up to +15 mv are attained. It is concluded that the membrane potential is controlled by the electrogenic influx of Cl^-, and also, at least in some circumstances, by the diffusion of K⁺. In addition, it is suggested that electrogenic efflux of H⁺ may be important in transient nonequilibrium situations. An Appendix deals with the interpretation of simple nonsteady-state tracer kinetic data.     

Sodium gradient- and sodium plus potassium gradient-dependentl-glutamate uptake in renal basolateral membrane vesicles

Summary A membrane preparation enriched in the basolateral segment of the plasma membrane was isolated from the rat renal cortex by a procedure that included separation of particulates on a self-generating Percoll gradient. The uptake ofl-glutamate by the basolateral membrane vesicles was studied. A Na⁺ gradient ([Na⁺] _o >[Na⁺] _i ) stimulated the uptake ofl-glutamate and provided the driving force for the uphill transport of the acidic amino acid, suggesting a Na⁺-l-glutamate cotransport system in the basolateral membrane. A K⁺ gradient ([K⁺] _i >[K⁺] _o ) increased the uptake additionally. This effect was specific for K⁺ (Rb⁺). The action of the K⁺ gradient in enhancing the uptake ofl-glutamate had an absolute requirement for Na⁺. In the presence of Na⁺, but in the absence of a Na⁺ gradient. i.e., [Na⁺] _o =[Na⁺] _i , the K⁺ gradient also energized the concentrative uptake ofl-glutamate. This effect of the K⁺ gradient was not attributable to an alteration in membrane potential. The finding of a concentrative uptake system forl-glutamate energized by both Na⁺ ([Na⁺] _o >[Na⁺] _i and K⁺ ([K⁺] _i >[K⁺] _o ) gradients in the basolateral membrane, combined with previous reports of an ion gradient-dependent uphill transport system for this amino acid in the brush border membrane, suggests a mechanism by whichl-glutamate is accumulated intracellularly in the renal proximal tubule to extraordinarily high concentrations.     

Transport Systems of Ventricaria ventricosa: I/V Analysis of Both Membranes in Series as a Function of [K+] o

The current-voltage (I/V) profiles of Ventricaria (formerly Valonia) membranes were measured at a range of external potassium concentrations, [K⁺] _o , from 0.1 to 100 mm. The conductance-voltage (G/V) characteristics were computed to facilitate better resolution of the profile change with time after exposure to different [K⁺] _o . The resistance-voltage (R/V) characteristics were computed to attempt resolution of plasmalemma and tonoplast. Four basic electrophysiological stages emerged: (1) Uniform low resistance between −60 and +60 mV after the cell impalement. (2) High resistance between +50 and +150 for [K⁺] _o from 0.1 to 1.0 mm and hypotonic media. (3) High resistance between −150 and −20 mV for [K⁺] _o of 10 mm (close to natural seawater) and hypertonic media. (4) High resistance between −150 and +170 mV at [K⁺] _o of 100 mm. The changes between these states were slow, requiring minutes to hours and sometimes exhibiting spontaneous oscillations of the membrane p.d. (potential difference). Our analysis of the I/V data supports a previous hypothesis, that Ventricaria tonoplast is the more resistive membrane containing a pump, which transports K⁺ into the vacuole to regulate turgor. We associate state (1) with the plasmalemma conductance being dominant and the K⁺ pump at the tonoplast short-circuited probably by a K⁺ channel, state (2) with the K⁺ pump ``off' or short-circuited at p.d.s more negative than +50 mV, state (3) with the K<sup>+</sup> pump ``on,' and state (4) with the pump dominant, but affected by high K⁺. A model for the Ventricaria membrane system is proposed. Received: 5 November 1998/Revised: 11 May 1999     

K homeostasis and central pattern generation in the metathoracic ganglion of the locust

Stress-induced arrest of ventilatory motor pattern generation is tightly correlated with an abrupt increase in extracellular potassium concentration ([K⁺]_o) within the metathoracic neuropil of the locust, Locusta migratoria. Na⁺/K⁺-ATPase inhibition with ouabain elicits repetitive surges of [K⁺]_o that coincide with arrest and recovery of motor activity. Here we show that ouabain induces repetitive [K⁺]_o events in a concentration-dependent manner. 10⁻⁵ M, 10⁻⁴ M, and 10⁻³ M ouabain was bath-applied in semi-intact locust preparations. 10⁻⁴ M and 10⁻³ M ouabain reliably induced repetitive [K⁺]_o events whereas 10⁻⁵ M ouabain had no significant effect. In comparison to 10⁻⁴ M ouabain, 10⁻³ M ouabain increased the number and hastened the time to onset of repetitive [K⁺]_o waves, prolonged [K⁺]_o event duration, increased resting [K⁺]_o, and diminished the absolute value of [K⁺]_o waves. Recovery of motor patterning following [K⁺]_o events was less likely in 10⁻³ M ouabain. In addition, we show that K⁺ channel inhibition using TEA suppressed the onset and decreased the amplitude of ouabain-induced repetitive [K⁺]_o waves. Our results demonstrate that ventilatory circuit function in the locust CNS is dependent on the balance between mechanisms of [K⁺] accumulation and [K⁺] clearance. We suggest that with an imbalance in favour of accumulation the system tends towards a bistable state with transitions mediated by positive feedback involving voltage-dependent K⁺ channels.     

Influence of external barium and potassium on potassium efflux in depolarized frog sartorius muscles

Summary Efflux of⁴²K⁺ was measured in frog sartorius muscles equilibrated in depolarizing solutions with external K⁺ concentrations ([K⁺] _o ) between 75 and 300mm and NaCl concentrations of 60, 120, or 240mm. For several combinations of KCl and NaCl, steady-state internal potentials (V _i) were the same for different [K⁺] _o . For the range ofV _i examined, K⁺ efflux occurs principally through the K⁺ inward rectifier channels. When external K⁺ is removedV _i remains constant for 2 to 3 hr because of the high membrane conductance to Cl^–, but K⁺ efflux drops by about one order of magnitude.External Ba²⁺ in the presence or absence of external K⁺ produces an inhibition of K⁺ efflux described by a relation of the formu=(u₁/(1+C)[Ba²⁺] _o ))+u ₂, whereu is the uninhibited fraction of K⁺ efflux;u ₁, u₂ andC are constants; andu ₁+u₂=1.C depends both on [K⁺] _o andV _i. When [K⁺] _o 75mm, increasing [K⁺] _o at constantV _i reduces Ba²⁺ sensitivity. For constantV _i–30 mV, Ba²⁺ sensitivity is less when [K⁺] _o =0 than when [K⁺] _o 75mm. When [K⁺] _o =0, Ba²⁺ sensitivity decreases asV _i is made more positive. The dependence of the Ba²⁺ sensitivity onV _i at constant [K⁺] _o is greater when [K⁺] _o =0 than when [K⁺] _o 75mm.Both the activation of K⁺ efflux by external K⁺ and the Ba²⁺ inhibition of K⁺ efflux can be explained on the basis of two membrane control sites associated with each channel. When both sites are occupied by K⁺, the channels are in a high flux state. When one or both sites are empty, the channels are in a low, nonzero flux state. When Ba²⁺ occupies either site, K⁺ efflux is further reduced. The reduction of Ba²⁺-sensitivity by increasing [K⁺] _o at high [K⁺] _o is attributable to the displacement of Ba²⁺ from the control sites by K⁺. The increased Ba²⁺ sensitivity produced by going from [K⁺] _o =0 to [K⁺] _o >-75mm whenV _i–30 mV is attributable to states in which Ba²⁺ occupies one site and K⁺ the other when [K⁺] _o 0. The smallerV _i dependence of the Ba²⁺ sensitivity when [K⁺] _o 75mm compared to [K⁺] _o =0 is attributable to the necessity that Ba²⁺ displace K⁺ at the control sites when [K⁺] _o is high but not when [K⁺] _o =0.     

Potassium-induced insulin release and voltage noise measurements in single mouse islets of Langerhans

Summary Insulin release and membrane potential fluctuations in response to increased extracellular potassium [K⁺] _o have been measured in single perifused islets of Langerhans from normal mice. An increase in [K⁺] _o from 5mm to 50mm induced a transient insulin release with a peak at about 1 min. The peak value was [K⁺] _o -dependent but the half-timet _1/2 for the decline was constant at nearly 1 min. 2.5mm cobalt completely inhibited the potassium-induced stimulation of insulin release. The insulin release elicited by 28 and 50mm [K⁺] _o was similar in terms of peak, total release and half-time from maximum release. Stepwise increase in [K⁺] _o from 10 to 28 to 50mm resulted in a normal response to 28mm but no peak of release after the 28 to 50mm increase. The results indicate good correlation between excess voltage noise, thought to reflect calcium channel activity, and insulin release evoked by changing extracellular potassium.     

Biochemical and Temporal Analysis of Events Associated with Apoptosis Induced by Lowering the Extracellular Potassium Concentration in Mouse Cerebellar Granule Neurons

Abstract: We analyzed biochemically and temporally the molecular events that occur in the programmed cell death of mouse cerebellar granule neurons deprived of high potassium levels. An hour after switching the neurons to a low extracellular K⁺ concentration ([K⁺]_o), a significant part of the genomic DNA was already cleaved to high-molecular-weight fragments. This phenomenon was intensified with the progression of the death process. Addition of cycloheximide to the neurons 4 h after high [K⁺]_o deprivation resulted in no cell loss and complete recovery of the damaged DNA. DNA margination and nuclear fragmentation as assessed by 4,6-diaminodiphenyl-2-phenylindole staining were observable in a few cells beginning ～4 h after the removal of high [K⁺]_o and developed to nuclear condensation 4 h later. Six hours after high [K⁺]_o deprivation, the DNA was fragmented into oligonucleosome-sized fragments. Within 6 h after removal of the extracellular K⁺, 50% of the neurons were committed to die and lost their ability to be rescued by readministration of 25 mM [K⁺]_o. Similar to high [K⁺]_o deprivation, inhibition of RNA or protein synthesis failed to halt neuronal degeneration of a similar percentage of cells 6 h after the onset of the death process. Mitochondrial function steadily decreased after [K⁺]_o removal. An ～40% decrease in RNA and protein synthesis was detected by 6 h of [K⁺]_o removal during the period of cell death commitment; rates continued to decline gradually thereafter. The temporal characteristics of the DNA damage and recovery, DNA cleavage to oligonucleosome-sized fragments, and the reduction in mitochondrial activity—events that occurred within the critical time—may indicate that these processes have an important part in the mechanism that committed the neurons to die.