Extracellular pH selectively modulates recovery from sodium inactivation in frog myelinated nerve.

The Hodgkin-Huxley kinetic parameters, alpha h and beta h, which govern the rate of recovery from and development of sodium channel inactivation, respectively, have been measured as a function of membrane potential and external pH using a three-pulse protocol. alpha h but not beta h is substantially accelerated by reducing external pH from 7.4 to 6.4. The alpha h vs. voltage curve appears to be selectively shifted in the depolarizing direction by approximately 12 mV for this pH change, giving an apparent, h infinity curve shift of approximately 6 mV in the same direction (less inactivation).     

The kinetics of chain exchange in two-chain coiled coils: alpha alpha- and beta beta-tropomyosin.

Measurements are presented on the time course of chain exchange among two-chain alpha-helical coiled coils of rabbit tropomyosin. All experiments are in a regime (temperature, protein concentration) in which coiled-coil dimers are the predominant species. Self-exchange in alpha alpha-tropomyosin was investigated by mixing alpha alpha species with alpha* alpha*, the asterisk designating an alpha-chain whose lone sulfhydryl (C190) has been blocked by carboxyamidomethylation. The overall process alpha alpha + alpha* alpha* in equilibrium with 2 alpha alpha* is followed by measurement of the fraction (h) of alpha alpha* species as a function of time. Similarly, self-exchange in beta beta-tropomyosin is examined by measurements of the overall process: beta beta + beta* beta* in equilibrium with 2 beta beta*, in which beta* signifies a beta-chain blocked at both sulfhydryls (C36 and C190). The observed time course for both chains is well fit by the first-order equation: h (t) = h (infinity) (1-e-k1t), with h (infinity) congruent to 0.5. This long-time limit is as expected for self-exchange, and agrees with experiments that attain equilibrium after slow cooling of thermally dissociated and unfolded chains. The simplest consonant mechanism is chain exchange by rate-limiting dissociation of dimers followed by random reassociation. Kinetic analysis shows k1 to be the rate constant for the chain dissociation step, a quantity not previously measured for any coiled coil. This rate constant for beta beta species is about an order of magnitude greater than for alpha alpha. In both, the activation enthalpy and entropy are very large, suggesting that activation to an extensively (greater than 50%) unfolded species necessarily precedes dissociation. Experiments are also reported for overall processes: alpha alpha + beta* beta* in equilibrium with 2 alpha beta* and alpha* alpha* + beta beta in equilibrium with 2 alpha* beta. Results are independent of which chain is blocked. Again h (infinity) congruent to 0.5, in agreement with equilibrium experiments, and the time course is first order. The rate constants and activation parameters are intermediate between those for self-exchange.     

Ultra-slow inactivation in mu1 Na+ channels is produced by a structural rearrangement of the outer vestibule

While studying the adult rat skeletal muscle Na+ channel outer vestibule, we found that certain mutations of the lysine residue in the domain III P region at amino acid position 1237 of the alpha subunit, which is essential for the Na+ selectivity of the channel, produced substantial changes in the inactivation process. When skeletal muscle alpha subunits (micro1) with K1237 mutated to either serine (K1237S) or glutamic acid (K1237E) were expressed in Xenopus oocytes and depolarized for several minutes, the channels entered a state of inactivation from which recovery was very slow, i.e., the time constants of entry into and exit from this state were in the order of approximately 100 s. We refer to this process as "ultra-slow inactivation". By contrast, wild-type channels and channels with the charge-preserving mutation K1237R largely recovered within approximately 60 s, with only 20-30% of the current showing ultra-slow recovery. Coexpression of the rat brain beta1 subunit along with the K1237E alpha subunit tended to accelerate the faster components of recovery from inactivation, as has been reported previously of native channels, but had no effect on the mutation-induced ultra-slow inactivation. This implied that ultra-slow inactivation was a distinct process different from normal inactivation. Binding to the pore of a partially blocking peptide reduced the number of channels entering the ultra-slow inactivation state, possibly by interference with a structural rearrangement of the outer vestibule. Thus, ultra-slow inactivation, favored by charge-altering mutations at site 1237 in micro1 Na+ channels, may be analogous to C-type inactivation in Shaker K+ channels.     

Intracellular pH and ionic channels in the Loligo vulgaris giant axon.

Squid giant axons were used to investigate the reversible effects of intracellular pH(pHi) on the kinetic properties of ionic channels. The pharmacologically separated K+ and Na+ currents were measured under: (a) internal perfusion, (b) enzymatic Pronase treatment, and (c) continuous estimate of periaxonal ion accumulation. Variation of internal pH from 4.8 to 11 resulted in: (a) a decrease of steady-state sodium inactivation at positive potentials similar to the effect of the proteolytic enzyme Pronase, (b) a shift of the h infinity (E) curve toward depolarizing voltages, and (c) a decrease of the time constant of inactivation for potentials below -20 mV (an increase above). A plot of the steady-state sodium conductance at E = +40 mV as a function of pHi suggests that two groups with pKa 10.4 and 5.6 affect respectively the inactivation gate and the rate constants for the transition from the inactivated to the second open state (h2) (Chandler and Meves, 1970b). The voltage shifts of the kinetic parameters predicted by the Gouy-Chapman-Stern theory are well satisfied at high pHi and less at low. Once corrected for voltage shifts, the forward rate constants for channel opening were found to be slowed with the acidity of the internal or external solution.     

Mutations in the EF-hand motif impair the inactivation of barium currents of the cardiac alpha1C channel.

Calcium-dependent inactivation has been described as a negative feedback mechanism for regulating voltage-dependent calcium influx in cardiac cells. Most recent evidence points to the C-terminus of the alpha1C subunit, with its EF-hand binding motif, as being critical in this process. The EF-hand binding motif is mostly conserved between the C-termini of six of the seven alpha1 subunit Ca2+ channel genes. The role of E1537 in the C-terminus of the alpha1C calcium channel inactivation was investigated here after expression in Xenopus laevis oocytes. Whole-cell currents were measured in the presence of 10 mM Ba2+ or 10 mM Ca2+ after intracellular injection of 1,2-bis(2-aminophenoxy)ethane-N,N,N',N'-tetraacetic acid. Against all expectations, our results showed a significant reduction in the rate of voltage-dependent inactivation as measured in Ba2+ solutions for all E1537 mutants, whereas calcium-dependent inactivation appeared unscathed. Replacing the negatively charged glutamate residue by neutral glutamine, glycine, serine, or alanine significantly reduced the rate of Ba2+-dependent inactivation by 1.5-fold (glutamine) to 3.5-fold (alanine). The overall rate of macroscopic inactivation measured in Ca2+ solutions was also reduced, although a careful examination of the distribution of the fast and slow time constants suggests that only the slow time constant was significantly reduced in the mutant channels. The fast time constant, the hallmark of Ca2+-dependent inactivation, remained remarkably constant among wild-type and mutant channels. Moreover, inactivation of E1537A channels, in both Ca2+ and Ba2+ solutions, appeared to decrease with membrane depolarization, whereas inactivation of wild-type channels became faster with positive voltages. All together, our results showed that E1537 mutations impaired voltage-dependent inactivation and suggest that the proximal part of the C-terminus may play a role in voltage-dependent inactivation in L-type alpha1C channels.     

Acute thyroid hormone promotes slow inactivation of sodium current in neonatal cardiac myocytes.

Sodium current (INa) inactivation kinetics in neonatal cardiac myocytes were analyzed using whole cell voltage clamp before and after acute treatments with thyroid hormone (3,5,3'-triiodo-L-thyronine, T3). In untreated neonatal myocytes, INa inactivation was predominantly mono-exponential, with 93 +/- 3% (S.D.; n = 9) of the peak amplitude decaying with a time constant, tau h1, of 1.8 +/- 0.5 ms at -30 mV. The remaining 7% of control INa decayed more slowly, with a time constant, tau h2, of 9.3 +/- 3.0 ms at -30 mV. The contribution of slowly-inactivating channels to peak current was increased from 7% to 43 +/- 27% within 5 min of exposure to 5-20 nM T3 (nine cells; P less than 0.005). The time constants for both the fast- and slow-inactivating components of peak current (tau h1 and tau h2) were not significantly changed by acute T3 treatment, nor was steady-state INa inactivation (h infinity) affected. Thyroid hormone action on sodium inactivation was partially reversible by lidocaine. These findings indicate that T3 acts at the neonatal cardiac cell membrane to promote slow inactivation kinetics in sodium channels.     

Inactivation of batrachotoxin-modified Na+ channels in GH3 cells. Characterization and pharmacological modification

Batrachotoxin (BTX)-modified Na+ currents were characterized in GH3 cells with a reversed Na+ gradient under whole-cell voltage clamp conditions. BTX shifts the threshold of Na+ channel activation by approximately 40 mV in the hyperpolarizing direction and nearly eliminates the declining phase of Na+ currents at all voltages, suggesting that Na+ channel inactivation is removed. Paradoxically, the steady-state inactivation (h infinity) of BTX-modified Na+ channels as determined by a two-pulse protocol shows that inactivation is still present and occurs maximally near -70 mV. About 45% of BTX-modified Na+ channels are inactivated at this voltage. The development of inactivation follows a sum of two exponential functions with tau d(fast) = 10 ms and tau d(slow) = 125 ms at -70 mV. Recovery from inactivation can be achieved after hyperpolarizing the membrane to voltages more negative than -120 mV. The time course of recovery is best described by a sum of two exponentials with tau r(fast) = 6.0 ms and tau r(slow) = 240 ms at -170 mV. After reaching a minimum at -70 mV, the h infinity curve of BTX-modified Na+ channels turns upward to reach a constant plateau value of approximately 0.9 at voltages above 0 mV. Evidently, the inactivated, BTX-modified Na+ channels can be forced open at more positive potentials. The reopening kinetics of the inactivated channels follows a single exponential with a time constant of 160 ms at +50 mV. Both chloramine-T (at 0.5 mM) and alpha-scorpion toxin (at 200 nM) diminish the inactivation of BTX-modified Na+ channels. In contrast, benzocaine at 1 mM drastically enhances the inactivation of BTX-modified Na+ channels. The h infinity curve reaches minimum of less than 0.1 at -70 mV, indicating that benzocaine binds preferentially with inactivated, BTX-modified Na+ channels. Together, these results imply that BTX-modified Na+ channels are governed by an inactivation process.     

Structural determinants of slow inactivation in human cardiac and skeletal muscle sodium channels.

Skeletal and heart muscle excitability is based upon the pool of available sodium channels as determined by both fast and slow inactivation. Slow inactivation in hH1 sodium channels significantly differs from slow inactivation in hSkM1. The beta(1)-subunit modulates fast inactivation in human skeletal sodium channels (hSkM1) but has little effect on fast inactivation in human cardiac sodium channels (hH1). The role of the beta(1)-subunit in sodium channel slow inactivation is still unknown. We used the macropatch technique on Xenopus oocytes to study hSkM1 and hH1 slow inactivation with and without beta(1)-subunit coexpression. Our results indicate that the beta(1)-subunit is partly responsible for differences in steady-state slow inactivation between hSkM1 and hH1 channels. We also studied a sodium channel chimera, in which P-loops from each domain in hSkM1 sodium channels were replaced with corresponding regions from hH1. Our results show that these chimeras exhibit hH1-like properties of steady-state slow inactivation. These data suggest that P-loops are structural determinants of sodium channel slow inactivation, and that the beta(1)-subunit modulates slow inactivation in hSkM1 but not hH1. Changes in slow inactivation time constants in sodium channels coexpressed with the beta(1)-subunit indicate possible interactions among the beta(1)-subunit, P-loops, and the slow inactivation gate in sodium channels.     

Modified Hodgkin-Huxley gating kinetics of sodium activation in giant axons of squid (Doryteuthis bleekeri)

The probabilities m of the sodium activation gate being open are shown to fit experimentally-determined running integrals Qg of recordings of the colchicine-sensitive fraction of the asymmetry current, within the Hodgkin-Huxley framework that the gate could have only two conformations, open and closed. Using the Hodgkin-Huxley framework, we are obliged to assume that the transition velocities, alpha m and beta m, between the open and closed gates depend not only on membrane potentials V but also on the time after a potential step was externally applied. We introduce the following functions of alpha m and beta m. (sequence in text) where VH, td and tau p stand for holding potential, constant delay time of 10 microseconds, and transit time of the transition velocity of alpha m (or beta m) from its initial value alpha om (or beta om) to its final steady value alpha infinity m (or beta infinity m), respectively. The transit time tau p was found to be potential-dependent; typically it was 30 microseconds at -20 mV, and 100 microseconds at 20-40 mV. The values of alpha infinity m, alpha om, beta infinity m and beta om were found to be in reasonable agreement with those obtained by others, under the Hodgkin-Huxley assumption that the gate followed first-order kinetics. The requirement of new parameters, tau p and td, in the transition velocities was discussed in a relation to a membrane model where a voltage-receptor and a sodium channel macromolecule are spatially separated but functionally connected through underlying cytoskeletons (Matsumoto, 1984).     

Steady-state and dynamic properties of cardiac sodium-calcium exchange. Sodium-dependent inactivation

Sodium-calcium exchange current was isolated in inside-out patches excised from guinea pig ventricular cells using the giant patch method. The outward exchange current decayed exponentially upon activation by cytoplasmic sodium (sodium-dependent inactivation). The kinetics and mechanism of the inactivation were studied. (a) The rate of inactivation and the peak current amplitude were both strongly temperature dependent (Q10 = 2.2). (b) An increase in cytoplasmic pH from 6.8 to 7.8 attenuated the current decay and shifted the apparent dissociation constant (Kd) of cytoplasmic calcium for secondary activation of the exchange current from 9.6 microM to < 0.3 microM. (c) The amplitude of exchange current decreased synchronously over the membrane potential range from -120 to 60 mV during the inactivation, indicating that voltage dependence of the exchanger did not change during the inactivation process. The voltage dependence of exchange current also did not change during secondary modulation by cytoplasmic calcium and activation by chymotrypsin. (d) In the presence of 150 mM extracellular sodium and 2 mM extracellular calcium, outward exchange current decayed similarly upon application of cytoplasmic sodium. Upon removal of cytoplasmic sodium in the presence of 2-5 microM cytoplasmic free calcium, the inward exchange current developed in two phases, a fast phase within the time course of solution changes, and a slow phase (tau approximately 4 s) indicative of recovery from sodium-dependent inactivation. (e) Under zero-trans conditions, the inward current was fully activated within solution switch times upon application of cytoplasmic calcium and did not decay. (f) The slow recovery phase of inward current upon removal of cytoplasmic sodium was also present under the zero-trans condition. (g) Sodium-dependent inactivation shows little or no dependence on membrane potential in guinea pig myocyte sarcolemma. (h) Sodium-dependent inactivation of outward current is attenuated in rate and extent as extracellular calcium is decreased. (i) Kinetics of the sodium-dependent inactivation and its dependence on major experimental variables are well described by a simple two-state inactivation model assuming one fully active and one fully inactive exchanger state, whereby the transition to the inactive state takes place from a fully sodium-loaded exchanger conformation with cytoplasmic orientation of binding sites (E1.3Ni).     

Identification of inactivation determinants in the domain IIS6 region of high voltage-activated calcium channels

We have recently reported that transfer of the domain IIS6 region from rapidly inactivating R-type (alpha(1E)) calcium channels to slowly inactivating L-type (alpha(1C)) calcium channel confers rapid inactivation (Stotz, S. C., Hamid, J., Spaetgens, R. L., Jarvis, S. E., and Zamponi, G. W. (2000) J. Biol. Chem. 275, 24575-24582). Here we have identified individual amino acid residues in the IIS6 regions that are responsible for these effects. In this region, alpha(1C) and alpha(1E) channels differ in seven residues, and exchanging five of those residues individually or in combination did not significantly affect inactivation kinetics. By contrast, replacement of residues Phe-823 or Ile-829 of alpha(1C) with the corresponding alpha(1E) residues significantly accelerated inactivation rates and, when substituted concomitantly, approached the rapid inactivation kinetics of R-type channels. A systematic substitution of these residues with a series of other amino acids revealed that decreasing side chain size at position 823 accelerates inactivation, whereas a dependence of the inactivation kinetics on the degree of hydrophobicity could be observed at position 829. Although these point mutations facilitated rapid entry into the inactivated state of the channel, they had little to no effect on the rate of recovery from inactivation. This suggests that the development of and recovery from inactivation are governed by separate structural determinants. Finally, the effects of mutations that accelerated alpha(1C) inactivation could still be antagonized following coexpression of the rat beta(2a) subunit or by domain I-II linker substitutions that produce ultra slow inactivation of wild type channels, indicating that the inactivation kinetics seen with the mutants remain subject to regulation by the domain I-II linker. Overall, our results provide novel insights into a complex process underlying calcium channel inactivation.     

The kinetics of inactivation of the rod phototransduction cascade with constant Ca2+i

A rich variety of mechanisms govern the inactivation of the rod phototransduction cascade. These include rhodopsin phosphorylation and subsequent binding of arrestin; modulation of rhodopsin kinase by S- modulin (recoverin); regulation of G-protein and phosphodiesterase inactivation by GTPase-activating factors; and modulation of guanylyl cyclase by a high-affinity Ca(2+)-binding protein. The dependence of several of the inactivation mechanisms on Ca2+i makes it difficult to assess the contributions of these mechanisms to the recovery kinetics in situ, where Ca2+i is dynamically modulated during the photoresponse. We recorded the circulating currents of salamander rods, the inner segments of which are held in suction electrodes in Ringer's solution. We characterized the response kinetics to flashes under two conditions: when the outer segments are in Ringer's solution, and when they are in low-Ca2+ choline solutions, which we show clamp Ca2+i very near its resting level. At T = 20-22 degrees C, the recovery phases of responses to saturating flashes producing 10(2.5)-10(4.5) photoisomerizations under both conditions are characterized by a dominant time constant, tau c = 2.4 +/- 0.4 s, the value of which is not dependent on the solution bathing the outer segment and therefore not dependent on Ca2+i. We extended a successful model of activation by incorporating into it a first-order inactivation of R*, and a first-order, simultaneous inactivation of G-protein (G*) and phosphodiesterase (PDE*). We demonstrated that the inactivation kinetics of families of responses obtained with Ca2+i clamped to rest are well characterized by this model, having one of the two inactivation time constants (tau r* or tau PDE*) equal to tau c, and the other time constant equal to 0.4 +/- 0.06 s.     

Na channel activation gate modulates slow recovery from use-dependent block by local anesthetics in squid giant axons.

The time course of recovery from use-dependent block of sodium channels caused by local anesthetics was studied in squid axons. In the presence of lidocaine or its quaternary derivatives, QX-222 and QX-314, or 9-aminoacridine (9-AA), recovery from use-dependent block occurred in two phases: a fast phase and a slow phase. Only the fast phase was observed in the presence of benzocaine. The fast phase had a time constant of several milliseconds and resembled recovery from the fast Na inactivation in the absence of drug. Depending on the drug present, the magnitude of the time constant of the slow phase varied (for example at -80 mV): lidocaine, 270 ms; QX-222, 4.4 s; QX-314, 17 s; and 9-AA, 14 s. The two phases differed in the voltage dependence of recovery time constants. When the membrane was hyperpolarized, the recovery time constant for the fast phase was decreased, whereas that for the slow phase was increased for QX-compounds and 9-AA or unchanged for lidocaine. The fast phase is interpreted as representing the unblocked channels recovering from the fast Na inactivation, and the slow phase as representing the bound and blocked channels recovering from the use-dependent block accumulated by repetitive depolarizing pulse. The voltage dependence of time constants for the slow recovery is consistent with the m-gate trapping hypothesis. According to this hypothesis, the drug molecule is trapped by the activation gate (the m-gate) of the channel. The cationic form of drug molecule leaves the channel through the hydrophilic pathway, when the channel is open. However, lidocaine, after losing its proton, may leave the closed channel rapidly through the hydrophobic pathway.     

Kinetics of Chemical Modification of Arginine Residues in Mitochondrial Creatine Kinase from Bovine Heart: Evidence for Negative Cooperativity

The kinetics of chemical modification of arginine residues in mitochondrial creatine kinase (mit-CK) from beef heart by 4-hydroxy-3-nitrophenylglyoxal (HNPG) have been studied with simultaneous registration of enzyme inactivation. Experiments showed that complete inactivation of mit-CK corresponded to modification of two arginine residues per mit-CK monomer. The data on the modification kinetics can be described by the sum of two exponential terms and suggest strong negative cooperativity in the binding of HNPG to arginine residues. The rate constants for the fast and slow phases of modification differ by a factor of about 50. The corresponding rate constants for inactivation differ by a factor of about 30. The rate constant for the slow stage of inactivation is twice as large as that for the rate constant for the slow stage of modification, i.e., the inactivation process is ahead of the modification process.     

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.     

Characteristics of thermal inactivation of lysozyme in solution

In the buffer solution (pH 6,2) at 20-80 degrees, the lysozyme thermoinactivation was studied by monitoring of its activity decrease in the lysis of M. lysodeicticus cells. Protein inactivation was characterized by effective pseudofirst order rate constants which depend on enzyme concentration and are described by equation k = k0 . exp [-alpha 0 (1-gamma/T) [E]0], where k0 is inactivation rate constant at "infinite" enzyme dilution, [E0] is an initial lysozyme concentration, alpha 0 and gamma are the coefficients independent on [E0]. By extrapolation of the "k" dependencies on [E]0 the constants k0 were determined. In the range 40-70 degrees C, the rate constant k0 is equal 4,0 X 10(11) . exp (-24 200/RT) sec-1.     

Inactivation viewed through single sodium channels

Recordings of the sodium current in tissue-cultured GH3 cells show that the rate of inactivation in whole cell and averaged single channel records is voltage dependent: tau h varied e-fold/approximately 26 mV. The source of this voltage dependence was investigated by examining the voltage dependence of individual rate constants, estimated by maximum likelihood analysis of single channel records, in a five-state kinetic model. The rate constant for inactivating from the open state, rather than closing, increased with depolarization, as did the probability that an open channel inactivates. The rate constant for closing from the open state had the opposite voltage dependence. Both rate constants contributed to the mean open time, which was not very voltage dependent. Both open time and burst duration were less than tau h for voltages up to -20 mV. The slowest time constant of activation, tau m, was measured from whole cell records, by fitting a single exponential either to tail currents or to activating currents in trypsin-treated cells, in which the inactivation was abolished. tau m was a bell-shaped function of voltage and had a voltage dependence similar to tau h at voltages more positive than -35 mV, but was smaller than tau h. At potentials more negative than about -10 mV, individual channels may open and close several times before inactivating. Therefore, averaged single channel records, which correspond with macroscopic current elicited by a depolarization, are best described by a convolution of the first latency density with the autocorrelation function rather than with 1 - (channel open time distribution). The voltage dependence of inactivation from the open state, in addition to that of the activation process, is a significant factor in determining the voltage dependence of macroscopic inactivation. Although the rates of activation and inactivation overlapped greatly, independent and coupled inactivation could not be statistically distinguished for two models examined. Although rates of activation affect the observed rate of inactivation at intermediate voltages, extrapolation of our estimates of rate constants suggests that at very depolarized voltages the activation process is so fast that it is an insignificant factor in the time course of inactivation. Prediction of gating currents shows that an inherently voltage-dependent inactivation process need not produce a conspicuous component in the gating current.     

A three-state model for inactivation of sodium permeability

The inactivation of Na⁺ permeability in single myelinated motor nerve fibres of Rana esculenta was investigated under voltage and current clamp conditions at 20°C in Ringer's solution and under blocked K⁺ currents. Development of inactivation and its recovery was described by two potential-dependent time constants: The smaller time constant followed the usual bell-shaped function of membrane potential, whereas the larger one was monotone-increasing with more negative potentials. Several three-state models for inactivation were investigated. The experiments could best be approximated by a model with two open and one closed state for inactivation following: open ? closed ? open. Rate constants were determined for all transitions shown from the voltage clamp experiments. The action potentials computed by means of the proposed model were in good agreement with those measured, both in Ringer's solution and under blocked K⁺ current conditions.     

Voltage-dependent regulation of modal gating in the rat SkM1 sodium channel expressed in Xenopus oocytes

The TTX-sensitive rat skeletal muscle sodium channel (rSkM1) exhibits two modes of inactivation (fast vs slow) when the alpha subunit is expressed alone in Xenopus oocytes. In this study, two components are found in the voltage dependence of normalized current inactivation, one having a V1/2 in the expected voltage range (approximately -50 mV, I(N)) and the other with a more hyperpolarized V1/2 (approximately -130 mV, IH) at a holding potential of -90 mV. The I(N) component is associated with the gating mode having rapid inactivation and recovery from inactivation of the macroscopic current (N-mode), while IH corresponds to the slow inactivation and recovery mode (H-mode). These two components are interconvertible and their relative contribution to the total current varies with the holding potential: I(N) is favored by hyperpolarization. The interconversion between the two modes is voltage dependent and is well fit to a first-order two-state model with a voltage dependence of e-fold/8.6 mV and a V1/2 of -62 mV. When the rat sodium channel beta 1-subunit is coinjected with rSkM1, IH is essentially eliminated and the inactivation kinetics of macroscopic current becomes rapid. These two current components and their associated gating modes may represent two conformations of the alpha subunit, one of which can be stabilized either by hyperpolarization or by binding of the beta 1 subunit.