Characteristics of sodium tail currents in Myxicola axons. Comparison with membrane asymmetry currents.

Sodium currents after repolarization to more negative potentials after initial activation were digitally recorded in voltage-clamped Myxicola axons compensated for series resistance. The results are inconsistent with a Hodgkin-Huxley-type kinetic scheme. At potentials more negative than -50 mV, the Na+ tails show two distinct time constants, while at more positive potentials only a single exponential process can be resolved. The time-course of the tail currents was totally unaffected when tetrodotoxin (TTX) was added to reduce gNa to low values, demonstrating the absence of any artifact dependent on membrane current. Tail currents were altered by [Ca++] in a manner consistent with a simple alteration in surface potential. Asymmetry current "off" responses are well described by a single exponential. The time constant for this response averaged 2.3 times larger than that for the rapid component of the Na+ repolarization current and was not sensitive to pulse amplitude or duration, although it did vary with holding potential. Other asymmetry current observations confirm previous reports on Myxicola.     

Activation-inactivation coupling in Myxicola giant axons injected with tetraethylammonium.

Myxicola giant axons internally injected with tetraethylammonium chloride to block potassium currents were examined under voltage clamp. The sodium inactivation time constants obtained from the decline in INa during step depolarizations were substantially smaller than those obtained using conditioning prepulses to the same potentials and the ratios agreed with previous observations using TTX. Inactivation shifts were also measured and found to be comparable to previous results.     

Slow sodium inactivation in Myxicola axons. Evidence for a second inactive state.

Sodium inactivation and reactivation have been examined in voltage-clamped Myxicola axons after long-lasting membrane depolarizations produced either directly by changes in holding potential or indirectly by elevation of external K+ concentration. The results suggest the existence of a second inactivated state of the sodium channel with associated voltage-dependent rate constants at least two orders of magnitude lower than those of the fast inactivation process commonly examined. No specific influence of external [K+] on slow Na+ inactivation could be detected.     

Gating of the squid sodium channel at positive potentials. I. Macroscopic ionic and gating currents.

Macroscopic ionic sodium currents and gating currents were studied in voltage-clamped, dialyzed giant axons of the squid Loligo pealei under conditions of regular and inverse sodium gradients. Sodium currents showed regular kinetics but inactivation was incomplete, showing a maintained current for depolarizations lasting 18 ms. The ratio of the maintained current to the peak current increased with depolarization and it did not depend on the direction of the current flow or the sodium gradient. The time constant of inactivation was not affected by the sodium gradient. Double-pulse experiments allowed the separation of a normal inactivating component and a noninactivating component of the sodium currents. In gating current experiments, the results from double-pulse protocols showed that the charge was decreased by the prepulse and that the slow component of the 'on' gating current was preferentially depressed. As expected, charge immobilization was established faster at higher depolarizations than at low depolarizations, however, the amount of immobilized charge was unaffected by the pulse amplitude. This indicates that the incomplete sodium inactivation observed at high depolarizations is not the result of decreased charge immobilization; the maintained current must be due to a conductance that appears after normal charge immobilization and fast inactivation.     

Single-channel, macroscopic, and gating currents from sodium channels in the squid giant axon.

Single-channel, macroscopic ionic, and macroscopic gating currents were recorded from the voltage-dependent sodium channel using patch-clamp techniques on the cut-open squid giant axon. To obtain a complete set of physiological measurements of sodium channel gating under identical conditions, and to facilitate comparison with previous work, comparison was made between currents recorded in the absence of extracellular divalent cations and in the presence of physiological concentrations of extracellular Ca2+ (10 mM) and Mg2+ (50 mM). The single-channel currents were well resolved when divalent cations were not included in the extracellular solution, but were decreased in amplitude in the presence of Ca2+ and Mg2+ ions. The instantaneous current-voltage relationship obtained from macroscopic tail current measurements similarly was depressed by divalents, and showed a negative slope-conductance region for inward current at negative potentials. Voltage dependent parameters of channel gating were shifted 9-13 mV towards depolarized potentials by external divalent cations, including the peak fraction of channels open versus voltage, the time constant of tail current decline, the prepulse inactivation versus voltage relationship, and the charge-voltage relationship for gating currents. The effects of divalent cations are consistent with open channel block by Ca2+ and Mg2+ together with divalent screening of membrane charges.     

Presynaptic potentials and facilitation of transmitter release in the squid giant synapse

Presynaptic potentials were studied during facilitation of transmitter release in the squid giant synapse. Changes in action potentials were found to cause some, but not all, of the facilitation during twin-pulse stimulation. During trains of action potentials, there were no progressive changes in presynaptic action potentials which could account for the growth of facilitation. Facilitation could still be detected in terminals which had undergone conditioning depolarization or hyperpolarization. Facilitation could be produced by small action potentials in low [Ca++]o and by small depolarizations in the presence of tetrodotoxin. Although the production of facilitation varied somewhat with presynaptic depolarization, nevertheless, approximately equal amounts of facilitation could be produced by depolarizations which caused the release of very different amounts of transmitter.     

The effect of dihydropyridines on the strontium and calcium content in frog muscle

2,6-Dimethyl-3,5-dimethoxycarbonyl-4-(O-difluromethoxyphenyl)-1,4- dihydropyridine (ryodipine) (2 x 10(-4) M) significantly blocks the resting Sr++ uptake in sartorius and iliofibularis muscles of Rana temporaria without changes in Ca++ and Mg++ content. Dihydropyridine CGP (2.10(-4) M) increased both [Sp++] and [Ca++] (mumol/g dr. w.) by about 20 and 13%, respectively, as compared with paired control muscles, whereas [Mg++] remained unaffected. The [Sr++] changes are interpreted as specific dihydropyridine-effect on the Ca(++)-channels in the muscle membrane.     

Cooperative phenomena in the membrane potential of parathyroid cells induced by divalent cations

Membrane potentials of mouse parathyroid cells were measured by means of the intracellular microelectrode method. The membrane potential in external Krebs solution containing 2.5 mM of Ca++ was -23.6 +/- 0.4 mV (mean +/- standard error of mean). The low concentration of Ca++ (1.0 mM) caused hyperpolarization of the membrane potential to -61.7 +/- 0.8 mV. The membrane potential was proportional to the logarithm of the concentration of K ion in the solution of low Ca ion. The concentration of external Na+, C1- and HPO4-- had no effect on the membrane potential. The sigmoidal transition of membrane potentials was induced by the change of Ca ion concentration in the range from 2.5 to 1.0 mM. The change of the membrane potentials in low Ca ion is originated from increase in potassium permeability of the cell membrane. The similar sigmoidal changes of the membrane potentials were observed in the solution containing 4 to 3 mM of Sr ion. The Mg and Ba ion showed smaller effect on the membrane potential. The Goldman equation was extended to divalent ions. Appling the extended membrane potential equation, ratios of the permeability coefficients were obtained as follows: PK/PCa = 0.067 for 2.5 mM Ca++, 0.33 for 1.0 mM Ca++; PK/PSr = 0.08 for 4 mM Sr++ and 0.4 for 3 mM Sr++; PK/PMg = 0.5; PK/PBa = 0.67 for all range of concentration. The Hill constants of Sr ion and Ca ion were 20; the relationship between Sr ion and Ca ion was competitive. The Hill constants of Mg and Ba ion were 1 each. The Hill constant of Ca ion was depend of the temperature; nmax = 20 at 36 degrees C, n = 9 at 27 degrees C, n = 2 at 22 degrees C. The enthalpy of Ca-binding reaction was obtained from the Van't Hoff plot as 0.58 kcal. The activation energies of the K+ permeability increase were obtained from the Arrhenius plots as 3.3 kcal and 4 kcal. The difference, 0.7 kcal, corresponds to the enthalpy change of this reaction, of which value is close to that of the Ca-binding reaction.     

Evaluation of cellular mechanisms for modulation of calcium transients using a mathematical model of fura-2 Ca2+ imaging in Aplysia sensory neurons.

A theoretical model of [Ca++]i diffusion, buffering, and extrusion was developed for Aplysia sensory neurons, and integrated with the measured optical transfer function of our fura-2 microscopic recording system, in order to fully simulate fura-2 video or photomultiplier tube measurements of [Ca++]i. This allowed an analysis of the spatial and temporal distortions introduced during each step of fura-2 measurements of [Ca++]i in cells. In addition, the model was used to evaluate the plausibility of several possible mechanisms for modulating [Ca++]i transients evoked by action potentials. The results of the model support prior experimental work (Blumenfeld, Spira, Kandel, and Siegelbaum, 1990. Neuron. 5: 487-499), suggesting that 5-HT and FMRFamide modulate action potential-induced [Ca++]i transients in Aplysia sensory neurons through changes in Ca++ influx, and not through changes in [Ca++]i homeostasis or release from internal stores.     

Voltage- and time-dependent K+ channel currents in the basolateral membrane of villus enterocytes isolated from guinea pig small intestine

Patch-clamp studies were carried out in villus enterocytes isolated from the guinea pig proximal small intestine. In the whole-cell mode, outward K+ currents were found to be activated by depolarizing command pulses to -45 mV. The activation followed fourth order kinetics. The time constant of K+ current activation was voltage-dependent, decreasing from approximately 3 ms at -10 mV to 1 ms at +50 mV. The K+ current inactivated during maintained depolarizations by a voltage- independent, monoexponential process with a time constant of approximately 470 ms. If the interpulse interval was shorter than 30 s, cumulative inactivation was observed upon repeated stimulations. The steady state inactivation was voltage-dependent over the voltage range from -70 to -30 mV with a half inactivation voltage of -46 mV. The steady state activation was also voltage-dependent with a half- activation voltage of -22 mV. The K+ current profiles were not affected by chelation of cytosolic Ca2+. The K+ current induced by a depolarizing pulse was suppressed by extracellular application of TEA+, Ba2+, 4-aminopyridine or quinine with half-maximal inhibitory concentrations of 8.9 mM, 4.6 mM, 86 microM and 26 microM, respectively. The inactivation time course was accelerated by quinine but decelerated by TEA+, when applied to the extracellular (but not the intracellular) solution. Extracellular (but not intracellular) applications of verapamil and nifedipine also quickened the inactivation time course with 50% effective concentrations of 3 and 17 microM, respectively. Quinine, verapamil and nifedipine shifted the steady state inactivation curve towards more negative potentials. Outward single K+ channel events with a unitary conductance of approximately 8.4 pS were observed in excised inside-out patches of the basolateral membrane, when the patch was depolarized to -40 mV. The ensemble current rapidly activated and thereafter slowly inactivated with similar time constants to those of whole-cell K+ currents. It is concluded that the basolateral membrane of guinea pig villus enterocytes has a voltage-gated, time-dependent, Ca(2+)-insensitive, small-conductance K+ channel. Quinine, verapamil, and nifedipine accelerate the inactivation time course by affecting the inactivation gate from the external side of the cell membrane.     

Modification of sodium channel currents by lanthanum and lanthanide ions in human heart cells

I examined the effects of 100 microM extracellular lanthanum and lanthanide ions on the fast transmembrane sodium channel currents of human heart cell segments. The experiments were conducted under control of the transmembrane electrical and chemical gradients. Lanthanum and lanthanide ion exposure decreased the amplitude and increased the inactivation time constant of the sodium current. Only a transient increase occurred for the activation time constant of the sodium current. The dependence of peak sodium current on excitatory and holding potentials (steady-state activation and inactivation curves, respectively) was transiently shifted to less negative potentials during the first 3 min of exposure, as if these cations were momentarily neutralizing the effective negative charges at the extracellular side of the membrane. The curves then returned to their original position and only the inactivation curves continued shifting progressively towards a limit at more negative membrane potentials. Membrane capacitance was always reduced and this may explain these late effects in terms of changes in membrane dielectric properties and free and bound charges, in addition to traditional screening and binding concepts. These effects were related to the electronic structure of these ions.     

Frequency domain analysis of asymmetry current in squid axon membrane.

The change in capacity of squid axon membrane during hyper- and depolarizations was investigated in the absence of ionic currents after the membrane was treated with pronase. In the presence of the inactivation process (h parameter), failure to observe the gating current in the frequency domain was attributed to the rapid attenuation of the possible capacity change during depolarizations, which is likely to be due to the sodium activation process. Elimination of the h process would therefore enable us to observe the gating current in the frequency domain as the change in the capacitance component of membrane admittance. However, even after the inactivation process was abolished by pronase, the capacity of the axon membrane remained constant when ionic currents were blocked by external tetrodotoxin and internal Cs+ ion. Actually capacity was observed to decrease slightly with depolarization, contrary to the prediction based on the magnitude of gating currents.     

Extracellular calcium ion depletion in frog cardiac ventricular muscle.

The extracellular free [Ca++] in frog ventricular muscle strips was monitored using single-barrel calcium ion-selective microelectrodes. During trains of repetitive stimulation, a heart rate-dependent, sustained fall (depletion) of the extracellular free [Ca++] occurs, which is most likely a consequence of net Ca++ influx into ventricular cells. The magnitude of the [Ca++]0 depletion increases for higher Ringer's solution [Ca++], and is reversibly blocked by manganese ion. Prolonged repetitive field stimulation (20-30 min) activates additional cellular Ca++ efflux, which can balance the additional Ca++ influx caused by stimulation, resulting in abolition of extratrabecular [Ca++]0 depletion in 20-30 min, and hence zero net transmembrane Ca++ flux at steady state. In the poststimulation period of quiescence, cellular Ca++ efflux persists and causes an elevation (accumulation) of the extracellular free [Ca++]. From these [Ca++]0 depletions, quantitative estimates for the net transmembrane Ca++ flux were derived using an analytical solution to the diffusion equation. In the highest Ringer's solution [Ca++] used (1 mM) the calculated net increase of the total intracellular calcium per beat was 6.5 +/- 1.4 mumol/l of intracellular space. This corresponds to an average net transmembrane Ca++ influx of 0.81 +/- 0.17 pmol/cm2/s during the 800-ms action potential. In lower bath [Ca++] the net transmembrane [Ca++] flux was proportionately reduced.     

Evidence for multiple open and inactivated states of the hKv1.5 delayed rectifier.

The kinetic properties of hKv1.5, a Shaker-related cardiac delayed rectifier, expressed in Ltk- cells were studied. hKv1.5 currents elicited by membrane depolarizations exhibited a delay followed by biphasic activation. The biphasic activation remained after 5-s prepulses to membrane potentials between -80 and -30 mV; however, the relative amplitude of the slow component increased as the prepulse potential approached the threshold of channel activation, suggesting that the second component did not reflect activation from a hesitant state. The decay of tail currents at potentials between -80 and -30 mV was adequately described with a biexponential. The time course of deactivation slowed as the duration of the depolarizing pulse increased. This was due to a relative increase in the slowly decaying component, despite similar initial amplitudes reflecting a similar open probability after 50- and 500-ms prepulses. To further investigate transitions after the initial activated state, we examined the temperature dependence of inactivation. The time constants of slow inactivation displayed little temperature and voltage dependence, but the degree of the inactivation increased substantially with increased temperature. Recovery from inactivation proceeded with a biexponential time course, but long prepulses at depolarized potentials slowed the apparent rate of recovery from inactivation. These data strongly indicate that hKv1.5 has both multiple open states and multiple inactivated states.     

Calcium currents in bullfrog sympathetic neurons. II. Inactivation

Calcium currents in bullfrog sympathetic neurons inactivate slowly and partially during depolarizations lasting 0.5-1 s. There is also a slower (minutes) inactivation process with a broad voltage dependence. An irreversible loss of current (rundown) is prominent with low concentrations of intracellular Ca2+ buffers, with either Ca2+ or Ba2+ as the charge carrier. The extent and rate of the more rapid inactivation process are maximal near the voltage at which the peak inward current is generated, suggesting that inactivation might be Ca2+ dependent. However, inactivation occurs with either Ca2+ or Ba2+ as the charge carrier, is not prevented by strong buffering of intracellular Ca2+ with 10 mM BAPTA, and varies little as the peak current is changed 10-fold by changing the divalent ion concentration. That is, rapid inactivation is not explained by simple versions of voltage, Ca2+- or current-dependent inactivation models. A model in which ion binding within the channel allows a slower, rate-limiting inactivation process fits some but not all of the observed features of inactivation. A purely voltage-dependent three-state cyclic model fits the data if microscopic inactivation is favored by hyperpolarization.     

Calcium influx in internally dialyzed squid giant axons

A method has been developed to measure Ca influx in internally dialyzed squid axons. This was achieved by controlling the dialyzed segment of the axon exposed to the external radioactive medium. The capacity of EGTA to buffer all the Ca entering the fiber was explored by changing the free EGTA at constant [Ca++]i. At a free [EGTA]i greater than 200 microM, the measured resting Ca influx and the expected increment in Ca entry during electrical stimulation were independent of the axoplasmic free [EGTA]. To avoid Ca uptake by the mitochondrial system, cyanide, oligomycin, and FCCP were included in the perfusate. Axons dialyzed with a standard medium containing: [ATP] = 2 mM, [Ca++]i = 0.06 microM, [Ca++]o = 10 mM, [Na+]i = 70 mM, and [Na+]o = 465 mM, gave a mean Ca influx of 0.14 +/- 0.012 pmol.cm-2.s-1 (n = 12. Removal of ATP drops the Ca influx to 0.085 +/- 0.007 pmol.cm-2.s-1 (n = 12). Ca influx increased to 0.35 pmol.cm-2,s-1 when Nao was removed. The increment was completely abolished by removing Nai+ and (or) ATP from the dialysis medium. At nominal zero [Ca++]i, no Nai-dependent Ca influx was observed. In the presence of ATP and Nai [Ca++]i activates the Ca influx along a sigmoid curve without saturation up to 1 microM [Ca++]i. Removal of Nai+ always reduced the Ca influx to a value similar to that observed in the absence of [Ca++]i (0.087 +/- 0.008 pmol.cm-2.s-1; n = 11). Under the above standard conditions, 50-60% of the total Ca influx was found to be insensitive to Nai+, Cai++, and ATP, sensitive to membrane potential, and partially inhibited by external Co++.     

Properties of an early outward current in single cells of the mouse ventricle

Single ventricular myocytes of adult mice were prepared by enzymatic dissociation for voltage clamp experiments with the one suction pipette dialysis method. After blocking the Na current by 10(-4) mol/l TTX early outward currents (IEO) with incomplete inactivation could be elicited by clamping from -50 mV to test potentials (VT) positive to -30 mV. Interfering Ca currents were very small (less than 0.6 nA at VT = 0 mV). The approximation of IEO by the q4r-model showed a pronounced decrease in the time constant of activation (tau q) to more positive potentials. At 50 ms test pulses the time course of the incomplete inactivation could be described by two exponentials and a constant. The time constant of the fast exponential (tau r1) showed a slight decline towards more positive test potentials (8.1 +/- 1.0 ms at -10 mV; 5.8 +/- 1.2 ms at +50 mV, mean +/- SD, n = 5) whereas the time constant of the slow exponential (tau r2) was voltage independent (41.1 +/- 7.9 ms, mean +/- SD, n = 5). The contributions of the fast exponential and the pedestal increased towards positive test potentials. The Q10 value for the time constants of activation and fast inactivation was 2.36 +/- 0.19 and 2.51 +/- 0.09 (mean +/- SD, n = 3), respectively. After an initial delay the recovery of IEO at a recovery potential of -50 mV could be fitted monoexponentially with a time constant of 16.3 +/- 2.9 ms (mean +/- SD, n = 3). The time course of the onset of inactivation determined with the double pulse protocol was slower than the decay at the same potential, and could be described as sum of a fast (tau = 18.4 +/- 6.0 ms) and a slow (tau = 62.1 +/- 19.9ms, mean +/- SD, n = 3) exponential. IEO could be blocked completely by 1 mmol/l 4-aminopyridine at potentials up to +20 mV. Stronger depolarizations had an unblocking effect.     

Voltage-gated potassium channels in brown fat cells

We studied the membrane currents of isolated cultured brown fat cells from neonatal rats using whole-cell and single-channel voltage-clamp recording. All brown fat cells that were recorded from had voltage-gated K currents as their predominant membrane current. No inward currents were seen in these experiments. The K currents of brown fat cells resemble the delayed rectifier currents of nerve and muscle cells. The channels were highly selective for K+, showing a 58-mV change in reversal potential for a 10-fold change in the external [K+]. Their selectivity was typical for K channels, with relative permeabilities of K+ greater than Rb+ greater than NH+4 much greater than Cs+, Na+. The K currents in brown adipocytes activated with a sigmoidal delay after depolarizations to membrane potentials positive to -50 mV. Activation was half maximal at a potential of -28 mV and did not require the presence of significant concentrations of internal calcium. Maximal voltage-activated K conductance averaged 20 nS in high external K+ solutions. The K currents inactivated slowly with sustained depolarization with time constants for the inactivation process on the order of hundreds of milliseconds to tens of seconds. The K channels had an average single-channel conductance of 9 pS and a channel density of approximately 1,000 channels/cell. The K current was blocked by tetraethylammonium or 4-aminopyridine with half maximal block occurring at concentrations of 1-2 mM for either blocker. K currents were unaffected by two blockers of Ca2+-activated K channels, charybdotoxin and apamin. Bath-applied norepinephrine did not affect the K currents or other membrane currents under our experimental conditions. These properties of the K channels indicate that they could produce an increase in the K+ permeability of the brown fat cell membrane during the depolarization that accompanies norepinephrine-stimulated thermogenesis, but that they do not contribute directly to the norepinephrine-induced depolarization.     

Na activation delays and their relation to inactivation in frog skeletal muscle

Summary Delays in the development of activation of Na currents were studied using voltage-clamped frog skeletal muscle fibers. Na currents elicited by a depolarizing voltage step from a hyperpolarized membrane potential were delayed in their activation when compared to Na currents elicited from the resting potential. The magnitude of the delay increased with larger hyperpolarizing potentials and decreased with larger depolarizing test potentials. Delays in activation observed following chloramine-T treatment that partially removes inactivation did not differ from delays observed before treatment. Longer exposures of the muscle fiber to chloramine-T led to a complete loss of inactivation, coincident with an elimination of the hyperpolarization-induced delays in activation. Steady-state slow inactivation was virtually unaffected by prolonged exposures of the fibers to chloramine-T that eliminated fast inactivation. The results show that chloramine-T acts at a number of sites to alter both activation and inactivation. Markov model simulations of the results show that chloramine-T alters fundamental time constants of the system by altering both activation and inactivation rate constants.