scholarly journals Intramembranous charge movement in frog cut twitch fibers mounted in a double vaseline-gap chamber.

1990 ◽  
Vol 96 (2) ◽  
pp. 257-297 ◽  
Author(s):  
C S Hui ◽  
W K Chandler
Keyword(s):  
Voltage Dependence ◽  
Unit Length ◽  
Boltzmann Distribution ◽  
Distribution Functions ◽  
Charge Movement ◽  
Tetraethylammonium Chloride ◽  
Maximum Charge ◽  
Boltzmann Function ◽  
State Charge ◽  
Current Record

Intramembranous charge movement was measured in cut twitch fibers mounted in a double Vaseline-gap chamber with either a tetraethylammonium chloride (TEA.Cl) or a TEA2.SO4 solution (13-14 degrees C) in the central pool. Charge vs. voltage data were fitted by a single two-state Boltzmann distribution function. The average values of V (the voltage at which steady-state charge is equally distributed between the two Boltzmann states), k (the voltage dependence factor), and qmax/cm (the maximum charge divided by the linear capacitance, both per unit length of fiber) were V = -53.3 mV (SEM, 1.1 mV), k = 6.3 mV (SEM, 0.3 mV), qmax/cm = 18.0 nC/microF (SEM, 1.1 nC/microF) in the TEA.Cl solution; and V = -35.1 mV (SEM, 1.8 mV), k = 10.5 mV (SEM, 0.9 mV), qmax/cm = 36.3 nC/microF (SEM, 3.2 nC/microF) in the TEA2.SO4 solution. These values of k are smaller than those previously reported for cut twitch fibers and are as small as those reported for intact fibers. If a correction is made for the contributions of currents from under the Vaseline seals, V = -51.2 mV (SEM, 1.1 mV), k = 7.2 mV (SEM, 0.4 mV), qmax/cm = 22.9 nC/microF (SEM, 1.4 nC/microF) in the TEA.Cl solution; and V = -34.0 mV (SEM, 1.9 mV), k = 10.1 mV (SEM, 1.1 mV), qmax/cm = 38.8 nC/microF (SEM, 3.2 nC/microF) in the TEA2.SO4 solution. With this correction, however, the fit of the theoretical curve to the data is poor. A good fit with this correction can be obtained with a sum of two Boltzmann distribution functions. The first has average values V = -33.0 mV (SEM, 2.8 mV), k = 11.0 mV (SEM, 0.5 mV), qmax/cm = 10.6 nC/microF (SEM, 1.0 nC/microF) in the TEA.Cl solution; and V = -20.0 mV (SEM, 3.3 mV), k = 17.0 mV (SEM, 2.0 mV), qmax/cm = 36.4 nC/microF (SEM, 2.3 nC/microF) in the TEA2.SO4 solution. The second has average values V = -56.5 mV (SEM, 1.3 mV), k = 2.9 mV (SEM, 0.4 mV), qmax/cm = 13.2 nC/microF (SEM, 1.0 nC/microF) in the TEA.Cl solution; and V = -41.6 mV (SEM, 1.4 mV), k = 2.5 mV (SEM, 0.8 mV), qmax/cm = 11.8 nC/microF (SEM, 1.7 nC/microF) in the TEA2.SO4 solution. When a fiber is depolarized to near V of the second Boltzmann function, a slowly developing "hump" appears in the ON-segment of the current record.(ABSTRACT TRUNCATED AT 400 WORDS)

scholarly journals Factors affecting the appearance of the hump charge movement component in frog cut twitch fibers.

1991 ◽  
Vol 98 (2) ◽  
pp. 315-347 ◽  
Author(s):  
C S Hui
Keyword(s):  
Time Course ◽  
Extreme Case ◽  
Complete Recovery ◽  
Creatine Phosphate ◽  
Boltzmann Distribution ◽  
Distribution Functions ◽  
Charge Movement ◽  
Factors Affecting ◽  
Gap Technique ◽  
Voltage Dependent

Charge movement was measured in frog cut twitch fibers with the double Vaseline gap technique. Five manipulations listed below were applied to investigate their effects on the hump component (I gamma) in the ON segments of TEST minus CONTROL current traces. When external Cl-1 was replaced by MeSO3- to eliminate Cl current, I gamma peaked earlier due to a few millivolts shift of the voltage dependence of I gamma kinetics in the negative direction. The Q-V plots in the TEA.Cl and TEA.MeSO3 solutions were well fitted by a sum of two Boltzmann distribution functions. The more steeply voltage-dependent component (Q gamma) had a V approximately 6 mV more negative in the TEA.MeSO3 solution than in the TEA.Cl solution. These voltage shifts were partially reversible. When creatine phosphate in the end pool solution was removed, the I gamma hump disappeared slowly over the course of 20-30 min, partly due to a suppression of Q gamma. The hump reappeared when creatine phosphate was restored. When 0.2-1.0 mM Cd2+ was added to the center pool solution to block inward Ca current, the I gamma hump became less prominent due to a prolongation in the time course of I gamma but not to a suppression of Q gamma. When the holding potential was changed from -90 to -120 mV, the amplitude of I beta was increased, thereby obscuring the I gamma hump. Finally, when a cut fiber was stimulated repetitively, I gamma lost its hump appearance because its time course was prolonged. In an extreme case, a 5-min resting interval was insufficient for a complete recovery of the waveform. In general, a stimulation rate of once per minute had a negligible effect on the shape of I gamma. Of the five manipulations, MeSO3- has the least perturbation on the appearance of I gamma and is potentially a better substitute for Cl- than SO2-(4) in eliminating Cl current if the appearance of the I gamma hump is to be preserved.

scholarly journals Comparison of charge movement components in intact and cut twitch fibers of the frog. Effects of stretch and temperature.

1991 ◽  
Vol 98 (2) ◽  
pp. 287-314 ◽  
Author(s):  
C S Hui
Keyword(s):  
Sarcomere Length ◽  
Boltzmann Distribution ◽  
Distribution Functions ◽  
Total Charge ◽  
Charge Movement ◽  
Time To Peak ◽  
Gap Technique ◽  
Different Temperatures ◽  
Charge Movements ◽  
Kinetics Of

Charge movements were measured in frog intact fibers with the three-microelectrode technique and in cut fibers with the double Vaseline gap technique. At 13-14 degrees C, the ON segments of charge movement records from both preparations showed an early I beta component and a late I gamma hump component. When an intact fiber was cooled to 4-7 degrees C, the time-to-peak of I gamma (tp,gamma) was prolonged, but I gamma still appeared as a hump. Q-V plots from intact fibers at 4-7 degrees C were fitted with a sum of two Boltzmann distribution functions (method 1). The more steeply voltage-dependent component, identified with Q gamma, accounted for 32.1% (SEM 2.2%) of the total charge. This fraction was larger than the 22.6% (SEM 1.5%) obtained by separating the ON currents with a sum of two kinetic functions (method 2). The total charge in cut fibers stretched to a sarcomere length of 3.5 microns at 13-14 degrees C was separated into Q beta and Q gamma by methods 1 and 2. The fraction of Q gamma in the total charge was 51.3% (SEM 1.7%) and 53.7% (SEM 1.8%), respectively, suggesting that cut fibers have a larger proportion of Q gamma:Q beta than intact fibers. When cut fibers were stretched to a sarcomere length of 4 microns, the proportion of Q gamma:Q beta was unchanged. Between 4 and 13 degrees C, the Q10 of l/tp,gamma in intact fibers was 2.33 (SEM 0.33) and that of 1/tau beta was less than 1.44 (SEM 0.04), implying that the kinetics of I gamma has a steeper temperature dependence than the kinetics of I beta. When cut fibers were cooled from 14 to 6 degrees C, I gamma in the ON segment generally became too broad to be manifested as a hump. In a cut fiber in which I gamma was manifested as a hump, the Q10 of l/tp,gamma was 2.08 and that of l/tau beta was less than 1.47. Separating the Q-V plots from cut fibers at different temperatures by method 1 showed that the proportion of Q gamma:Q beta was unaffected by temperature change. The appearance of I gamma humps at low temperatures in intact fibers but generally not in cut fibers suggests an intrinsic difference between the two fiber preparations.

scholarly journals Slow charge movement in mammalian skeletal muscle.

1985 ◽  
Vol 85 (1) ◽  
pp. 1-19 ◽  
Author(s):  
B J Simon ◽  
K G Beam
Keyword(s):  
Steady State ◽  
State Dependence ◽  
Charge Movement ◽  
Mammalian Skeletal Muscle ◽  
Maximum Charge ◽  
A Value ◽  
Voltage Dependent ◽  
Charge Movements ◽  
State Charge ◽  
Omohyoid Muscle

Voltage-dependent charge movements were measured in the rat omohyoid muscle with the three-microelectrode voltage-clamp technique. Contraction was abolished with hypertonic sucrose. The standard (ON-OFF) protocol for eliciting charge movements was to depolarize the fiber from -90 mV to a variable test potential (V) and then repolarize the fiber to -90 mV. The quantity of charge moved saturated at test potentials of approximately 0 mV. The steady state dependence of the amount of charge that moves as a function of test potential could be well fitted by the Boltzmann relation: Q = Qmax/(1 + exp[-(V - V)/k]), where Qmax is the maximum charge that can be moved, V is the potential at which half the charge moves, and k is a constant. At 15 degrees C, these values were Qmax = 28.5 nC/microF, V = -34.2 mV, and k = 8.7 mV. Qmax, k, and V exhibited little temperature dependence over the range 7-25 degrees C. "Stepped OFF" charge movements were elicited by depolarizing the fiber from -90 mV to a fixed conditioning level that moved nearly all the mobile charge (0 mV), and then repolarizing the fiber to varying test potentials. The sum of the charge that moved when the fiber was depolarized directly from -90 mV to a given test potential and the stepped OFF charge that moved when the fiber was repolarized to the same test potential had at all test potentials a value close to Qmax for that fiber. In nearly all cases, the decay phase of ON, OFF, and stepped OFF charge movements could be well fitted with a single exponential. The time constant, tau decay, for an ON charge movement at a given test potential was comparable to tau decay for a stepped OFF charge movement at the same test potential. Tau decay had a bell-shaped dependence on membrane potential: it was slowest at a potential near V (the midpoint of the steady state charge distribution) and became symmetrically faster on either side of this potential. Raising the temperature from 7 to 15 degrees C caused tau decay to become faster by about the same proportion at all potentials, with a Q10 averaging 2.16. Raising the temperature from 15 to 25 degrees C caused tau decay to become faster at potentials near V, but not at potentials farther away.(ABSTRACT TRUNCATED AT 400 WORDS)

scholarly journals Q beta and Q gamma components of intramembranous charge movement in frog cut twitch fibers.

1991 ◽  
Vol 98 (3) ◽  
pp. 429-464 ◽  
Author(s):  
C S Hui ◽  
W K Chandler
Keyword(s):  
Boltzmann Distribution ◽  
Active State ◽  
Charge Movement ◽  
Mean Values ◽  
Pulse Charge ◽  
Boltzmann Function ◽  
Voltage Dependent ◽  
The Mean ◽  
The Difference ◽  
The One

Intramembranous charge movement was measured in frog cut twitch fibers mounted in a double Vaseline-gap chamber with a TEA.Cl solution at 13-14 degrees C in the central pool. When a fiber was depolarized from a holding potential of -90 mV to a potential near -60 mV, the current from intramembranous charge movement was outward in direction and had an early, rapid component and a late, more slowly developing component, referred to as I beta and I gamma, respectively (1979. J. Physiol. [Lond.]. 289:83-97). When the pulse to -60 mV was preceded by a 100-600-ms pulse to -40 mV, early I beta and late I gamma components were also observed, but in the inward direction. The shape of the Q gamma vs. voltage curve can be estimated with this two-pulse protocol. The first pulse to voltage V allows the amounts of Q beta and Q gamma charge in the active state to change from their respective resting levels, Q beta (-90) and Q gamma (-90), to new steady levels, Q beta (V) and Q gamma (V). A second 100-120-ms pulse, usually to -60 mV, allows the amount of Q beta charge in the active state to change from Q beta (V) to Q beta (-60) but is not sufficiently long for the amount of Q gamma charge to change completely from Q gamma (V) to Q gamma (-60). The difference between the amount of Q gamma charge at the end of the second pulse and Q gamma (-60) is estimated from the OFF charge that is observed on repolarization to -90 mV. The OFF charge vs. voltage data were fitted, with gap corrections, with a Boltzmann distribution function plus a constant. The mean values of V (the potential at which, in the steady state, charge is distributed equally between the resting and active states) and k (the voltage dependence factor) were -59.2 mV (SEM, 1.1 mV) and 1.2 mV (SEM, 0.6 mV), respectively. The one-pulse charge vs. voltage data from the same fibers were fitted with a sum of two Boltzmann functions (1990. J. Gen. Physiol. 96:257-297). The mean values of V and k for the steeply voltage-dependent Boltzmann function, which is likely to be associated with the Q gamma component of charge, were -55.3 mV (SEM, 1.3 mV) and 3.3 mV (SEM, 0.6 mV), respectively, similar to the corresponding values obtained with the two-pulse protocol.(ABSTRACT TRUNCATED AT 400 WORDS)

scholarly journals Separation of Q beta and Q gamma charge components in frog cut twitch fibers with tetracaine. Critical comparison with other methods.

1992 ◽  
Vol 99 (6) ◽  
pp. 985-1016 ◽  
Author(s):  
C S Hui ◽  
W Chen
Keyword(s):  
Boltzmann Distribution ◽  
Distribution Functions ◽  
Slow Inward Current ◽  
Total Charge ◽  
Charge Movement ◽  
Voltage Distribution ◽  
Advantages And Disadvantages ◽  
Control Current ◽  
Gap Technique ◽  
Voltage Dependent

Charge movement was measured in frog cut twitch fibers with the double Vaseline-gap technique. 25 microM tetracaine had very little effect on the maximum amounts of Q beta and Q gamma but slowed the kinetics of the I gamma humps in the ON segments of TEST-minus-CONTROL current traces, giving rise to biphasic transients in the difference traces. This concentration of tetracaine also shifted V gamma 3.7 (SEM 0.7) mV in the depolarizing direction, resulting in a difference Q-V plot that was bell-shaped with a peak at approximately -50 mV. 0.5-1.0 mM tetracaine suppressed the total amount of charge. The suppressed component had a sigmoidal voltage distribution with V = -56.6 (SEM 1.1) mV, k = 2.5 (SEM 0.5) mV, and qmax/cm = 9.2 (SEM 1.5) nC/microF, suggesting that the tetracaine-sensitive charge had a steep voltage dependence, a characteristic of the Q gamma component. An intermediate concentration (0.1-0.5 mM) of tetracaine shifted V gamma and partially suppressed the tetracaine-sensitive charge, resulting in a difference Q-V plot that rose to a peak and then decayed to a plateau level. Following a TEST pulse to greater than -60 mV, the slow inward current component during a post-pulse to approximately -60 mV was also tetracaine sensitive. The voltage distribution of the charge separated by tetracaine (method 1) was compared with those separated by three other existing methods: (a) the charge associated with the hump component separated by a sum of two kinetic functions from the ON segment of a TEST-minus-CONTROL current trace (method 2), (b) the steeply voltage-dependent component separated from a Q-V plot of the total charge by fitting with a sum of two Boltzmann distribution functions (method 3), and (c) the sigmoidal component separated from the Q-V plot of the final OFF charge obtained with a two-pulse protocol (method 4). The steeply voltage-dependent components separated by all four methods are consistent with each other, and are therefore concluded to be equivalent to the same Q gamma component. The shortcomings of each separation method are critically discussed. Since each method has its own advantages and disadvantages, it is recommended that, as much as possible, Q gamma should be separated by more than one method to obtain more reliable results.

scholarly journals Effects of conditioning depolarization and repetitive stimulation on Q beta and Q gamma charge components in frog cut twitch fibers.

1992 ◽  
Vol 99 (6) ◽  
pp. 1017-1043 ◽  
Author(s):  
C S Hui ◽  
W Chen
Keyword(s):  
Boltzmann Distribution ◽  
Mirror Image ◽  
Distribution Functions ◽  
Repetitive Stimulation ◽  
Residual Fraction ◽  
Charge Movement ◽  
Gap Technique ◽  
Steady State Inactivation ◽  
Sigmoidal Curve ◽  
Time Courses

Charge movement was measured in frog cut twitch fibers with the double Vaseline-gap technique. Steady-state inactivation of charge movement was studied by changing the holding potential from -90 mV to a level ranging from -70 to -30 mV. Q beta and Q gamma at each holding potential were separated by fitting the Q-V plot with a sum of two Boltzmann distribution functions. At -70 mV Q beta and Q gamma were inactivated to 54.0% (SEM 2.2) and 82.7% (SEM 3.0) of the amounts at -90 mV. At holding potentials greater than or equal to -60 mV, more Q gamma was inactivated than Q beta, and at -30 mV Q gamma was completely inactivated but Q beta was not. There was no holding potential at which Q beta was unaffected and Q gamma was completely inactivated. The differences between the residual fractions of Q beta and Q gamma are significant at all holding potentials (P less than 0.001-0.05). The plot of the residual fraction of Q beta or Q gamma versus holding potential can be fitted well by an inverted sigmoidal curve that is a mirror image of the activation curve of the respective charge component. The pair of curves for Q gamma correlates well with those for tension generation or Ca release obtained by other investigators. The time courses of the inactivation of Q beta and Q gamma were studied by obtaining several Q-V plots with conditioning depolarizations lasting 1-20 s and separating each Q-V plot into Q beta and Q gamma components by fitting with a sum of two Boltzmann distribution functions. The inactivation time constant of Q beta was found to be 5-10 times as large as that of Q gamma. During repetitive stimulation, prominent I gamma humps could be observed in TEST-minus-CONTROL current traces and normal Q gamma components could be separated from the Q-V plots, whether 20 or 50 mM EGTA was present in the internal solution, whether 2 or 10 stimulations were used, and whether the stimuli were separated by 400 ms or 6 s. Repetitive stimulation slowed the kinetics of the I gamma hump and could shift the Q-V curve slightly in the depolarizing direction in some cases, resulting in an apparent suppression of charge at the potentials that fall on the steep part of the Q-V curve.

scholarly journals Membrane capacitance in frog cut twitch fibers mounted in a double vaseline-gap chamber.

1990 ◽  
Vol 96 (2) ◽  
pp. 225-256 ◽  
Author(s):  
W K Chandler ◽  
C S Hui
Keyword(s):  
Plasma Membranes ◽  
Unit Length ◽  
Electrical Measurements ◽  
Tetraethylammonium Chloride ◽  
Internal Solution ◽  
Current Passing ◽  
Longitudinal Resistance ◽  
Small Change ◽  
Internal Longitudinal Resistance ◽  
Earth Potential

In experiments on cut muscle fibers mounted in a double Vaseline-gap chamber, electrical measurements are usually made by measuring the voltage V1(t) in one end pool and by passing current I2(t) from the other end pool to the central pool, which is usually clamped to earth potential. The voltage in the current-passing end pool is denoted by V2(t). This article describes how the value of the holding current, Ih, and the values of delta V2(infinity)/delta V1(infinity) and delta I2(infinity)/delta V1(infinity) that are associated with a small change in V1(t) can be used to estimate the linear cable parameters rm, ri, and re in a cut fiber that has been equilibrated with a Cs-containing internal solution. rm, ri, and re represent, respectively, the resistance of the plasma membranes, the internal longitudinal resistance, and the external longitudinal resistance under the Vaseline seals, all for a unit length of fiber. The apparent capacitance, Capp, of the preparation is defined to equal integral of infinity 0 delta I2,tr(t) dt/delta V1(infinity), in which delta I2,tr(t) represents the transient component of current that is associated with a change in V1(t) of amplitude delta V1(infinity). A method is described to estimate cm, the capacitance of the plasma membranes per unit length of fiber, from Capp and the values of rm, ri, and re. In experiments carried out with a tetraethylammonium chloride (TEA.Cl) solution at 13-14 degrees C in the central pool, cm remained stable for as long as 3-4 h. The values of cm, 0.19 microF/cm on average, and their variation with fiber diameter are similar to published results from intact fibers. This article also describes the different pathways that are taken by the current that flows from the current-passing end pool to the central pool. Approximately two-thirds of delta I2,tr(t) flows across the capacitance of the plasma membranes in the central-pool region. The rest flows either across plasma membranes that are under the two Vaseline seals or directly from the current-passing end pool to the central pool, across the external longitudinal resistance under the Vaseline seal. [There is also a current that flows directly from the voltage-measuring end pool to the central pool but this does not contribute to delta I2,tr(t).]

scholarly journals Correlation between Charge Movement and Ionic Current during Slow Inactivation in Shaker K+ Channels

1997 ◽  
Vol 110 (5) ◽  
pp. 579-589 ◽  
Author(s):  
Riccardo Olcese ◽  
Ramón Latorre ◽  
Ligia Toro ◽  
Francisco Bezanilla ◽  
Enrico Stefani
Keyword(s):  
Time Course ◽  
Voltage Dependence ◽  
Ionic Current ◽  
K Channel ◽  
Charge Movement ◽  
Slow Inactivation ◽  
Gating Currents ◽  
Similar Time ◽  
K Channels ◽  
Recovery From Inactivation

Prolonged depolarization induces a slow inactivation process in some K+ channels. We have studied ionic and gating currents during long depolarizations in the mutant Shaker H4-Δ(6–46) K+ channel and in the nonconducting mutant (Shaker H4-Δ(6–46)-W434F). These channels lack the amino terminus that confers the fast (N-type) inactivation (Hoshi, T., W.N. Zagotta, and R.W. Aldrich. 1991. Neuron. 7:547–556). Channels were expressed in oocytes and currents were measured with the cut-open-oocyte and patch-clamp techniques. In both clones, the curves describing the voltage dependence of the charge movement were shifted toward more negative potentials when the holding potential was maintained at depolarized potentials. The evidences that this new voltage dependence of the charge movement in the depolarized condition is associated with the process of slow inactivation are the following: (a) the installation of both the slow inactivation of the ionic current and the inactivation of the charge in response to a sustained 1-min depolarization to 0 mV followed the same time course; and (b) the recovery from inactivation of both ionic and gating currents (induced by repolarizations to −90 mV after a 1-min inactivating pulse at 0 mV) also followed a similar time course. Although prolonged depolarizations induce inactivation of the majority of the channels, a small fraction remains non–slow inactivated. The voltage dependence of this fraction of channels remained unaltered, suggesting that their activation pathway was unmodified by prolonged depolarization. The data could be fitted to a sequential model for Shaker K+ channels (Bezanilla, F., E. Perozo, and E. Stefani. 1994. Biophys. J. 66:1011–1021), with the addition of a series of parallel nonconducting (inactivated) states that become populated during prolonged depolarization. The data suggest that prolonged depolarization modifies the conformation of the voltage sensor and that this change can be associated with the process of slow inactivation.

scholarly journals Dependence on ion temperature of shallow-angle magnetic presheaths with adiabatic electrons

2019 ◽  
Vol 85 (6) ◽  
Author(s):  
Alessandro Geraldini ◽  
F. I. Parra ◽  
F. Militello
Keyword(s):  
Magnetic Field ◽  
Fluid Model ◽  
Boltzmann Distribution ◽  
Distribution Functions ◽  
Magnetized Plasma ◽  
Electron Mass ◽  
Ion Temperature ◽  
Ion Distribution ◽  
Ionic Charge ◽  
The Magnetic Field

The magnetic presheath is a boundary layer occurring when magnetized plasma is in contact with a wall and the angle $\unicode[STIX]{x1D6FC}$ between the wall and the magnetic field $\boldsymbol{B}$ is oblique. Here, we consider the fusion-relevant case of a shallow-angle, $\unicode[STIX]{x1D6FC}\ll 1$ , electron-repelling sheath, with the electron density given by a Boltzmann distribution, valid for $\unicode[STIX]{x1D6FC}/\sqrt{\unicode[STIX]{x1D70F}+1}\gg \sqrt{m_{\text{e}}/m_{\text{i}}}$ , where $m_{\text{e}}$ is the electron mass, $m_{\text{i}}$ is the ion mass, $\unicode[STIX]{x1D70F}=T_{\text{i}}/ZT_{\text{e}}$ , $T_{\text{e}}$ is the electron temperature, $T_{\text{i}}$ is the ion temperature and $Z$ is the ionic charge state. The thickness of the magnetic presheath is of the order of a few ion sound Larmor radii $\unicode[STIX]{x1D70C}_{\text{s}}=\sqrt{m_{\text{i}}(ZT_{\text{e}}+T_{\text{i}})}/ZeB$ , where e is the proton charge and $B=|\boldsymbol{B}|$ is the magnitude of the magnetic field. We study the dependence on $\unicode[STIX]{x1D70F}$ of the electrostatic potential and ion distribution function in the magnetic presheath by using a set of prescribed ion distribution functions at the magnetic presheath entrance, parameterized by $\unicode[STIX]{x1D70F}$ . The kinetic model is shown to be asymptotically equivalent to Chodura’s fluid model at small ion temperature, $\unicode[STIX]{x1D70F}\ll 1$ , for $|\text{ln}\,\unicode[STIX]{x1D6FC}|>3|\text{ln}\,\unicode[STIX]{x1D70F}|\gg 1$ . In this limit, despite the fact that fluid equations give a reasonable approximation to the potential, ion gyro-orbits acquire a spatial extent that occupies a large portion of the magnetic presheath. At large ion temperature, $\unicode[STIX]{x1D70F}\gg 1$ , relevant because $T_{\text{i}}$ is measured to be a few times larger than $T_{\text{e}}$ near divertor targets of fusion devices, ions reach the Debye sheath entrance (and subsequently the wall) at a shallow angle whose size is given by $\sqrt{\unicode[STIX]{x1D6FC}}$ or $1/\sqrt{\unicode[STIX]{x1D70F}}$ , depending on which is largest.

A 3,4-diaminopyridine-insensitive, Ca(2+)-independent transient outward K+ current in cardiac ventricular myocytes

1994 ◽  
Vol 266 (4) ◽  
pp. H1286-H1299 ◽  
Author(s):  
R. L. Martin ◽  
P. L. Barrington ◽  
R. E. Ten Eick
Keyword(s):  
Voltage Dependence ◽  
Ventricular Myocytes ◽  
Boltzmann Distribution ◽  
Time To Peak ◽  
Patch Pipette ◽  
Steady State Inactivation ◽  
Slope Factor ◽  
K Current ◽  
K Currents ◽  
Single Exponential

A previously unrecognized current that initially is not present and requires at least 25 min of intracellular access to develop can be found in approximately 75% of cardiac myocytes isolated from cat ventricle within 90 min after intracellular access is obtained with conventional suction patch pipette electrodes. We refer to this patch-duration-dependent (PDD) current as IK(PDD). IK(PDD) can be elicited with depolarizing test steps (Vt) ranging between -40 and +60 mV applied after a hyperpolarizing conditioning step to -140 mV for 200 ms from a holding potential of -40 mV. It shows an ohmic voltage dependence and appears to be an essentially pure K+ current. At Vt = 30 mV, the current is a time-dependent, transient current with a time to peak of 1.06 +/- 0.10 ms (n = 5) and a decay phase that can be fit to the sum of two decaying exponentials (tau f = 3.30 +/- 0.51 ms and tau s = 2.48 +/- 5.6 ms; n = 5). The voltage dependence of the steady-state inactivation can be fit to a single exponential Boltzmann distribution with a slope factor of 8.97 mV, and the voltage at which 50% of the channels are inactivated is -78 mV. The current can be blocked by 0.2 mM Ba2+ extracellularly applied or Cs+ intracellularly applied but is insensitive to 0.5 mM 3,4-diaminopyridine. These characteristics are unlike those for other known K+ currents. The lack of similarity between IK(PDD) and any currently documented cardiac K+ current suggests that IK(PDD) is either a previously undescribed K+ current or a modification of IK1 that makes it adopt an ohmic nature transiently, even in the presence of millimolar internal Mg2+.

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