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.     

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.     

Further studies of activation-inactivation coupling in Myxicola axons. Insensitivity to changes in calcium concentration.

In Myxicola axons subjected to moderate depolarizations the sodium inactivation time constants obtained from the decay of sodium current during a maintained depolarizatin (TSh) are substantially smaller than inactivation time constants determined at the same potential from the effect of changes in the duration of conditioning prepulses (Tph). This report extends these observations to positive membrane potentials and demonstrates that for sufficiently large depolarizations TSh and Tph become comparable. The ratio of inactivation time constants, Tph/TSh, is unaffected by changes in [Ca++] provided total divalent cation concentration is maintained constant, while changes in total divalent ion concentrations produce simple voltage shifts comparable to those obtained from measurement of membrane sodium or potassium conductances. Sodium inactivation delay was quantitatively determined as a function of membrane potential, and found to be similarly unaffected by changes in [Ca++] at constant total divalent ion concentration. Inactivation delay is, however, directly proportional to the activation rate constant over a wide range of potentials.     

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.     

Slow inactivation and reactivation of the K+ channel in squid axons. A tail current analysis.

Potassium current inactivation and reactivation in squid axons were measured from tail current amplitudes after voltage clamp prepulses to the potassium equilibrium potential, EK, in seawater containing elevated levels of potassium ion concentration, Ko. Little or no inactivation resulted with prepulses lasting less than 100 ms. Longer pulses caused the current to inactivate in two phases, one between 0.1 and 1 s, and a second phase between 5 and 100 s. Inactivation was incomplete. The time constant of the tail current after a prepulse to EK was independent of pulse duration (0.1-120 s). Inactivation was independent of Ko (10 less than or equal to Ko less than or equal to 300 mM), and it was independent of membrane potential, V, for -40 less than or equal to V less than or equal to 0 mV. Reactivation was measured with a three-pulse protocol. The reactivation time course was sigmoidal with a delay of approximately 100 ms before significant reactivation occurred. These results were described by a model consisting of three inactivated states arranged in a linear sequence. The rate constants of the model are of the form (A + B exp (CV), or 1/(A + B exp (CV], which are required to describe the non-inactivating conductance component.     

Recovery of Ca currents from inactivation: The roles of Ca influx,membrane potential,and cellular metabolism

Ca currents were examined with regard to their recovery from inactivation. The experiments were done on isolated nerve cell bodies of Helix aspersa using a combined suction pipet , microelectrode method for voltage clamp, and internal perfusion. Ca currents were separated by suppressing K and Na currents. The time course of recovery was determined by applying a test pulse at intervals ranging from 1 msec to 20 sec after prepulses varying from 20 to 3000 msec in duration. Each pair of pulses was preceded by a control pulse to ensure that the Ca currents had recovered before the next test pair was applied. Ba and Ca currents were compared and the effects of intracellular perfusion with EGTA, ATP, and vanadate were examined. Ba currents recovered in two stages and this time course was well fit by a sum of two exponentials with amplitudes and time constants given by A1 and tau 1 for the fast component and A2 and tau 2 for the slow component. In Ba the time constants were unchanged when prepulse durations were prolonged from 70 to 700 msec, although the initial amplitudes A1 and A2, particularly A2, were increased. Comparable influxes of Ca during the prepulse caused much more inactivation, but interestingly the recovery occurred at the same rate. The time course of Ca current recovery was also fit by a sum of two exponentials, the time constants of which were both smaller than the time constants of Ba current recovery. However, the time constants of Ca current recovery were increased markedly when prepulse durations were prolonged. Increasing the extracellular Ca concentration had a similar effect. Increasing the Ba influx had no effect on the recovery time constants, and the Ba results are consistent with reversible inactivation gating of potential-dependent membrane Ca channels. The Ca results show that Ca influx enhances inactivation. Intracellular perfusion with EGTA resulted in less inactivation in the cast of Ca but it had no effect on Ba currents. Intracellular ATP increased the rate of recovery of Ca currents, and intracellular vanadate inhibited recovery. It is concluded that recovery of Ca channels depends upon both Ca influx and membrane potential and is modulated by agents which affect Ca metabolism.     

Sodium and gating current time shifts resulting from changes in initial conditions

The sodium and gating currents of the squid giant axon elicited by a depolarizing pulse are delayed, with little change in shape, as a result of a hyperpolarizing prepulse. The delays are almost completely saturated, at approximately 45 microseconds, for prepulses to -140 mV. At 8 degrees C they develop with time constants of between 60 and 180 microseconds for prepulses in the -130- to -150-mV range. There is a correlation between the extra charge moved during the gating current and the increase in the time delay of the sodium current as the magnitude of the hyperpolarizing prepulse is increased. These results strengthen the conclusion that the gating current is indeed closely associated with the process of sodium channel opening and provide information concerning the kinetics of the early steps, which are hidden in ionic current measurements. The main features of the gating and sodium current time shifts and the correlation between charge movement and time shifts are duplicated by a sequential six-state model for sodium activation.     

Sensitivity of the sodium and potassium channels of Myxicola giant axons to changes in external pH

Myxicola giant axons were studied using standard voltage-clamp techniques in solutions whose pH values ranged from 3.9 to 10.2. Buffer concentrations of 50 mM or greater were necessary to demonstrate the full effect of pH. In acidic solutions the axon underwent a variable depolarization, and both the sodium and potassium conductances were reversibly depressed with approximate pKa's of 4.8 and 4.4, respectively. The voltage dependence of GNa was only slightly altered by acidic conditions, whereas there occurred large shifts in GK along the voltage axis consistent with a substantial decrease in net negative surface charge in the vicinity of the K+ channels. The sodium and potassium activation rate constants were decreased by acidic conditions, but the results could not be described as a simple translation along the voltage axis.     

Steady-state availability of sodium channels. Interactions between activation and slow inactivation.

Changes in holding potential (Vh), affect both gating charge (the Q(Vh) curve) and peak ionic current (the F(Vh) curve) seen at positive test potentials. Careful comparison of the Q(Vh) and F(Vh) distributions indicates that these curves are similar, having two slopes (approximately 2.5e for Vh from -115 to -90 mV and approximately 4e for Vh from -90 to -65 mV) and very negative midpoints (approximately -86 mV). Thus, gating charge movement and channel availability appear closely coupled under fully-equilibrated conditions. The time course by which channels approach equilibration was explored using depolarizing prepulses of increasing duration. The high slope component seen in the F(Vh) and Q(Vh) curves is not evident following short depolarizing prepulses in which the prepulse duration approximately corresponds to the settling time for fast inactivation. Increasing the prepulse duration to 10 ms or longer reveals the high slope, and left-shifts the midpoint to more negative voltages, towards the F(Vh) and Q(Vh) distributions. These results indicate that a separate slow-moving voltage sensor affects the channels at prepulse durations greater than 10 ms. Charge movement and channel availability remain closely coupled as equilibrium is approached using depolarizing pulses of increasing durations. Both measures are 50% complete by 50 ms at a prepulse potential of -70 mV, with proportionately faster onset rates when the prepulse potential is more depolarized. By contrast, charge movement and channel availability dissociate during recovery from prolonged depolarizations. Recovery of gating charge is considerably faster than recovery of sodium ionic current after equilibration at depolarized potentials. Recovery of gating charge at -140 mV, is 65% complete within approximately 100 ms, whereas less than 30% of ionic current has recovered by this time. Thus, charge movement and channel availability appear to be uncoupled during recovery, although both rates remain voltage sensitive. These data suggest that channels remain inactivated due to a separate process operating in parallel with the fast gating charge. We demonstrate that this behavior can be simulated by a model in which the fast charge movement associated with channel activation is electrostatically-coupled to a separate slow voltage sensor responsible for the slow inactivation of channel conductance.     

Two Ca current components of the receptor current in the electroreceptors of the marine catfish Plotosus

In the isolated sensory epithelium of the Plotosus electroreceptor, the receptor current has been dissected into inward Ca current, ICa, and superimposed outward transient of Ca-gated K current, IK(Ca). In control saline (170 mM/liter Na), with IK(Ca) abolished by K blockers, ICa declined in two successive exponential phases with voltage-dependent time constants. Double-pulse experiments revealed that the test ICa was partially depressed by prepulses, maximally near voltage levels for the control ICa maximum, which suggests current-dependent inactivation. In low Na saline (80 mM/liter), ICa declined in a single phase with time constants similar to those of the slower phase in control saline. The test ICa was then unaffected by prepulses. The implied presence of two Ca current components, the fast and slow ICa's, were further examined. In control saline, the PSP externally recorded from the afferent nerve showed a fast peak and a slow tonic phase. The double-pulse experiments revealed that IK(Ca) and the peak PSP were similarly depressed, i.e., secondarily to inactivation of the peak current. The steady inward current, however, was unaffected by prolonged prepulses that were stepped to 0 mV, the in situ DC level. Therefore, the fast ICa seems to initiate IK(Ca) and phasic release of transmitter, which serves for phasic receptor responses. The slow ICa may provide persistent active current, which has been shown to maintain tonic receptor operation.     

Internal cations, membrane current, and sodium inactivation gate closure in Myxicola giant axons.

Steady state to peak Na current ratio (INa,/INapeak) in Myxicola is greater, under some conditions, in internal Cs than in K, indicating less steady state inactivation in Csi. Csi effects are selective for steady state inactivation, with negligible effects on single-pulse inactivation time constants (Th). Mean Th ratios (Csi to Ki) were 1.04 and 1.02 at 0 and 10 mV. Two pulse inactivation time constants were also little affected. Inactivation is blocked in an all or none manner. Ki has little effect on steady state inactivation in the presence of inward INa, with INa/INapeak often declining to zero at positive potentials and independent of external Na concentration from 1/4 to 2/3 artificial sea water (ASW). Cs also has little effect at more negative potentials, but more with either more positive potentials or Na reduction, both reducing inward INa. K effects are evident when Na channel current is outward. A site in the current pathway when occupied selectively blocks inactivation gate closure. As occupancy does not depend significantly on potential, the site must not be very deep into the membrane field. Inactivation gates may associate with these sites on closure. The inactivated state may consist of a positively-charged structure occluding the inner channel mouth.     

Delayed rectification in the calf cardiac Purkinje fiber. Evidence for multiple state kinetics.

We have investigated the delayed rectifier current (Ix) in the calf cardiac Purkinje fiber using a conventional two-microelectrode voltage clamp arrangement. The deactivation of Ix was monitored by studying decaying current tails after the application of depolarizing voltage prepulses. The reversal potential (Vrev) of these Ix tails was measured as a function of prepulse magnitude and duration to test for possible permeant ion accumulation- or depletion-induced changes in Vrev. We found that prepulse-induced changes in Vrev were less than 5 mV, provided that prepulse durations were less than or equal to 3.5 s and magnitudes were less than or equal to +35 mV. We kept voltage pulse structures within these limits for the remainder of the experiments in this study. We studied the sensitivity of Vrev to variation in extracellular K+. The reversal potential for Ix is well described by a Goldman-Hodgkin-Katz relation for a channel permeable to Na+ and K+ with PNa/PK = 0.02. The deactivation of Ix was always found to be biexponential and the two components shared a common reversal potential. These results suggest that it is not necessary to postulate the existence of two populations of channels to account for the time course of the Ix tails. Rather, our results can quantitatively be reproduced by a model in which the Ix channel can exist in three (two closed, one open) conformational states connected by voltage dependent rate constants.     

Impaired glucose-stimulated insulin secretion in the GK rat is associated with abnormalities in islet nitric oxide production

We investigated implications of nitric oxide (NO) derived from islet neuronal constitutive NO synthase (ncNOS) and inducible NOS (iNOS) on insulin secretory mechanisms in the mildly diabetic GK rat. Islets from GK rats and Wistar controls were analysed for ncNOS and iNOS by HPLC, immunoblotting and immunocytochemistry in relation to insulin secretion stimulated by glucose or l-arginine in vitro and in vivo. No obvious difference in ncNOS fluorescence in GK vs control islets was seen but freshly isolated GK islets displayed a marked iNOS expression and activity. After incubation at low glucose GK islets showed an abnormal increase in both iNOS and ncNOS activities. At high glucose the impaired glucose-stimulated insulin release was associated with an increased iNOS expression and activity and NOS inhibition dose-dependently amplified insulin secretion in both GK and control islets. This effect by NOS inhibition was also evident in depolarized islets at low glucose, where forskolin had a further amplifying effect in GK but not in control islets. NOS inhibition increased basal insulin release in perfused GK pancreata and amplified insulin release after glucose stimulation in both GK and control pancreata, almost abrogating the nadir separating first and second phase in controls. A defective insulin response to l-arginine was seen in GK rats in vitro and in vivo, being partially restored by NOS inhibition. The results suggest that increased islet NOS activities might contribute to the defective insulin response to glucose and l-arginine in the GK rat. Excessive iNOS expression and activity might be deleterious for the beta-cells over time.     

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.     

Initial conditions and the kinetics of the sodium conductance in Myxicola giant axons. I. effects on the time-course of the sodium conductance

The effects of conditioning polarizations, ranging from--150 to 0 mV and of durations from 50 mus to 30 ms, on the time-course of GNa during test steps in potential were studied in Myxicola giant axons. Beyond the effects of conditioning polarizations on the amplitude of GNa, the only effect was to produce a translation of GNa(t) along the time axis without a change in shape. For depolarizing conditioning potentials, Hodgkin-Huxley kinetics predict time shifts about threefold greater than found experimentally, whereas the predictions of the coupled model of Goldman (1975. Biophys. J. 15:119--136) were in approximate agreement with our experiments. The time shifts developed over an exponential time-course as the conditioning pulse duration was increased. The time constant of development of the time shift was considerably faster than, and showed the opposite dependency on potential from, the values predicted by both models. It had a mean Q10 of 1/2.50. This fast activation process cannot account for the observed rise time behavior of GNa, suggesting that there is an additional activation process. All results are consistent with the idea that the gating structure displays more than three states, with state intermediate between rest and conducting.     

Geographical distribution and inactivation kinetics in internally perfused Myxicola giant axons.

In some preparations the time constant of Na current inactivation determined with two pulses (tau c) is larger over some range of potentials than that determined from the current decay during a single pulse (tau h), while in others tau c(V) and tau h(V) are the same. Myxicola giant axons obtained from specimens collected from coastal waters of northeastern North America display a tau c - tau h difference under all conditions we have tested. In these axons tau c(V) and tau h(V) are unchanged by reduction of Na current density, addition of K-channel blockers, or internal perfusion. Specimens of the same species, Myxicola infundibulum, collected from a different geographical location, the south coast of England, have been studied under internal perfusion with K as the major cation internally, with reduced external Na concentration and in the presence of K-channel blockers. In these axons tau c(V) and tau h(V) approximately superpose, raising the possibility that dramatic differences in Na current kinetics may not necessarily reflect basic differences in the organization of the Na channel gating machinery.     

Kinetics of activation of the potassium conductance in the squid giant axon

A quantitative re-investigation of the time course of the initial rise of the potassium current in voltage-clamped squid giant axons is described. The n4 law of the Hodgkin-Huxley equations was found to be well obeyed only for the smallest test pulses, and for larger ones a good fit of the inflected rise required use of the expression (1-exp[-t/tau n1])X-1(1-exp[-t/tau n2]), where both of the time constants and the power X varied with the size of the test pulse. Application of a negative prepulse produced a delay in the rise resulting mainly from an increase of X from a value of about 3 at -70 mV to 8 at -250 mV, while tau n1 remained constant and tau n2 was nearly doubled. The process responsible for generating this delay was switched on with a time constant of 8 ms at 4 degrees C, which fell to about 1 ms at 15 degrees C. Analysis of the inward tail currents at the end of a voltage-clamp pulse showed that there was a substantial external accumulation of potassium owing to the restriction of its diffusion out of the Schwann cell space, which, when duly allowed for, roughly doubled the calculated value of the potassium conductance. Computations suggested that the principal effect of such a build-up of [K]o would be to reduce the fitted values of tau n1 and tau n2 to two-thirds or even half their true sizes, while the power X would generally be little changed; but it would not affect the necessity to introduce a second time constant, nor would it invalidate our findings on the effect of negative prepulses.     

Conditioning hyperpolarization-induced delays in the potassium channels of myelinated nerve.

Hyperpolarizing conditioning pulses delay the onset of potassium channel current in voltage-clamped myelinated nerve fibers. Both the development of and recovery from this conditioning are approximately exponential functions of time: the time constants are functions of the conditioning voltage. The delay is larger and develops faster for more hyperpolarized conditioning pulses. The magnitude of the delay (but not the rate of development or recovery) depends upon the test potential-small test depolarizations produce larger delays than large depolarizations. The currents with and without the conditioning pulse cannot be made to superimpose by a simple time translation.     

Gating current kinetics in Myxicola giant axons. Order of the back transition rate constants.

Gating current, Ig, was recorded in Myxicola axons with series resistance compensation and higher time resolution than in previous studies. Ig at ON decays as two exponentials with time constants, tau ON-F and tau ON-S, very similar to squid values. No indication of an additional very fast relaxation was detected, but could be still unresolved. Ig at OFF also displays two exponentials, neither reflecting recovery from charge immobilization. Deactivation of the two I(ON) components may proceed with well-separated exponentials at -100 mV. INa tail currents at OFF also display two exponentials plus a third very slow relaxation of 5-9% of the total tail current. The very slow component is probably deactivation of a very small subpopulation of TTX sensitive channels. A -100 mV, means for INa tail component time constants (four axons) are 76 microseconds (range: 53-89 microseconds) and 344 microseconds (range: 312-387 microseconds), and for IOFF (six axons) 62 microseconds (range: 34-87 microseconds) and 291 microseconds (range: 204-456 microseconds) in reasonable agreement. INa ON activation time constant, tau A, is clearly slower than tau ON-F at all potentials. Except for the interval -30 to -15 mV, tau A is clearly faster than tau ON-S, and has a different dependency on potential. tau ON-S is several fold smaller than tau h. Computations with a closed2----closed1----open activation model indicated Na tail currents are consistent with a closed1----open rate constant greater than the closed2----closed1.