The Journal of Neuroscience, July 2, 2003, 23(13):5698-5707
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Properties and Functional Role of Voltage-Dependent Potassium Channels in Dendrites of Rat Cerebellar Purkinje Neurons
Marco Martina,
Gui Lan Yao, and
Bruce P. Bean
Department of Neurobiology, Harvard Medical School, Boston, Massachusetts
02115
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Abstract
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We characterized the properties and functional roles of voltage-dependent
potassium channels in the dendrites of Purkinje neurons studied in rat
cerebellar slices. Using outside-out patches formed
250 µm away from
the soma, we found that depolarization-activated potassium channels were
present at high density throughout the dendritic tree. Currents required
relatively large depolarizations for activation (midpoint, approximately
10 mV), had rapid activation and deactivation kinetics, and inactivated
partially (2070% over 200 msec) with both fast (time constant,
1520 msec) and slow (300400 msec) components. Inactivating and
noninactivating components were both blocked potently by external
tetraethylammonium (half-block by 150 µM) and 4-aminopyridine
(half-block by 110 µM). The voltage dependence, kinetics, and
pharmacology suggest a predominant contribution by Kv3 family subunits, and
immunocytochemical experiments showed staining for both Kv3.3 and Kv3.4
subunits in the dendritic tree. In the proximal dendrite, potassium channels
were activated by passively spread sodium spikes recorded at the same
position, and experiments using dual recordings showed that the channels serve
to actively dampen back-propagation of somatic sodium spikes. In more distal
dendrites, potassium currents were activated by voltage waveforms taken from
climbing fiber responses, suggesting that they help shape these responses as
well. The requirement for large depolarizations allows dendritic Kv3 channels
to shape large depolarizing events while not disrupting spatial and temporal
summation of smaller excitatory postsynaptic potentials.
Key words: Kv3; Kv3.3; Kv3.4; tetraethylammonium; 4-aminopyridine; climbing fiber; Purkinje cell
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Introduction
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A growing body of experimental data has shown the presence of
voltage-dependent ion channels in the dendrites of neurons (for review, see
Johnston et al., 1996
;
Spruston et al., 1999
;
Häusser et al., 2000
). In
some neurons, notably hippocampal pyramidal neurons and layer 5 cortical
pyramidal neurons, detailed studies have been made of dendritic sodium
channels (Colbert et al., 1997
;
Jung et al., 1997
), calcium
channels (Christie et al.,
1995
; Oakley et al.,
2001
), and potassium channels
(Hoffman et al., 1997
;
Golding et al., 1999
;
Bekkers, 2000
;
Johnston et al., 2000
;
Korngreen and Sakmann, 2000
),
and the properties of the channels have been linked with physiological
functions, especially in controlling back-propagation of action potentials
(Colbert et al., 1997
;
Jung et al., 1997
;
Williams and Stuart, 2000
;
Golding et al., 2001
;
Stuart and Häusser, 2001
;
Vetter et al., 2001
;
Watanabe et al., 2002
).
The dendrites of cerebellar Purkinje neurons have active membrane
properties (Llinás and Sugimori,
1980
; Midtgaard et al.,
1993
; Callaway and Ross,
1997
; Pouille et al.,
2000
; Womack and Khodakhah,
2002b
). However, Purkinje neurons are strikingly different from
other projection neurons studied so far in that their dendrites have a much
lower density of sodium channels, and fast somatic action potentials fail to
propagate effectively into the dendrites
(Stuart and Häusser,
1994
; Roth and Häusser,
2001
; Vetter et al.,
2001
). Instead, the regenerative electrical activity in distal
Purkinje cell dendrites takes the form of slow calcium-dependent action
potentials and long-lasting plateaus
(Llinás and Sugimori,
1980
; Pouille et al.,
2000
). Correspondingly, patch-clamp recordings and
immunocytochemistry have shown the presence of multiple types of calcium
channels in Purkinje cell dendrites
(Usowicz et al., 1992
;
Westenbroek et al., 1995
;
Yokoyama et al., 1995
;
Mouginot et al., 1997
).
Very little is known about potassium channels in Purkinje neuron dendrites.
Current-clamp recordings from dendrites show strong outward rectification,
consistent with the presence of large depolarization-activated potassium
conductances (Etzion and Grossman,
1998
,
2001
). Cell-attached patch
recordings from the dendrites of cultured Purkinje neurons show the presence
of voltage-dependent potassium channels with multiple single-channel
conductance levels (Gruol et al.,
1989
,
1991
), but little is known
about their distribution, macroscopic kinetics, molecular basis, or functional
roles. We used a combined electrophysiological and immunocytochemical approach
to characterize the potassium channels in Purkinje cell dendrites, and we
explored their functional roles by examining their activation by different
waveforms of dendritic depolarization arising from either synaptic input or
somatic spikes.
 |
Materials and Methods
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Parasagittal slices of 300 µm thickness were cut from the cerebella of
LongEvans rats using a vibrating tissue slicer (Ted Pella, Redding,
CA). Rats (1421 d of age) were anesthetized by methoxyflurane before
decapitation and removal of the cerebellum. All procedures involving animals
were approved by the Harvard Medical Area Standing Committee on Animals. After
cutting, slices were incubated at 35°C for 20 min and then stored at room
temperature.
During recording, slices were continuously superfused with physiological
extracellular solution containing (in mM): 125 NaCl, 25
NaHCO3, 2.5 KCl, 1.25 NaH2PO4, 2
CaCl2, 1 MgCl2 and 25 glucose, bubbled with 95%
O2 and 5% CO2. Slices were visualized with an Olympus
BX50WI (Olympus Optical, Tokyo, Japan) upright microscope using infrared
differential interference contrast videomicroscopy
(Stuart et al., 1993
) with an
immersion 60x objective.
Patch pipettes were pulled from borosilicate glass tubing (outer diameter,
1.65 mm; inner diameter, 0.75 mm; Dagan, Minneapolis, MN) and heat polished
before use. Pipettes were filled with an internal solution consisting of (in
mM): 140 KCl, 2 MgCl2, 10 EGTA, 2 Na2 ATP, 10
HEPES, pH adjusted to 7.3 with KOH. In some experiments, 30 mM KCl
was substituted with 30 mM KF, which enhanced seal formation and
stabilized outside-out patches. Tip resistances in working solutions were
511 M
. The pipettes were brought close to the target while
exerting positive pressure (3060 millibar). This process helped in
cleaning off glial cells that often wrap Purkinje cell dendrites. Purkinje
cells were easily identified on the basis of their large size and distinctive
morphology. Purkinje cells in the vermis were used for these experiments.
Distance of the dendrite from which the patch was formed was measured from the
center of the soma and off-line from pictures taken with a CCD camera and
frame grabber (Scion, Frederick, MD).
We used outside-out patches for characterizing potassium currents because
they allow recording of relatively large currents and also facilitate the
application of different drugs to study the pharmacological profile of the
channels. A potential disadvantage is that properties of channels might change
because of changes in the phosphorylation state of the channels (although ATP
was included in the internal solution to minimize such changes) or other
consequences of dialysis. To evaluate this issue, in early exploratory
experiments, we measured potassium currents from dendrites in the
cell-attached configuration. It was not possible to use this configuration
routinely, because most neurons were spontaneously active and thus it was
impossible to control the membrane voltage. In a limited number of cells that
did not show spontaneous firing, we determined activation curves in
cell-attached patches using absolute voltages calculated after breaking
through into the cell and measuring the resting potential. In seven
cell-attached patches on dendrites, the voltage of half-maximal activation was
7 ± 3 mV and the slope factor was 20 ± 2 mV, similar to
the values of 10 ± 2 mV and 23 ± 1 mV (n = 16)
for outside-out patches on dendrites (parameters from fits of the Boltzmann
equation raised to the fourth power).
Recordings were performed at 2124°C using an Axopatch 200B
amplifier (Axon Instruments, Foster City, CA). Signals were low-pass filtered
at 5 or 10 KHz (4-pole low-pass Bessel filter on amplifier) and digitized
(1020 kHz) using a Digidata 1321A controlled by pClamp8 software
interface (Axon Instruments). Currents were corrected for leak current and
capacity transients remaining after electronic capacity compensation using a
P/4 leak correction protocol. Currents from outside-out patches were
signal-averaged over three trials when determining currentvoltage
curves and
10 trials when assaying the effect of tetraethylammonium (TEA)
or 4-aminopyridine (4-AP) at a single test voltage.
Dual somatic and dendritic recordings were performed with two Axopatch 200B
amplifiers in voltage or current-clamp (I-clamp fast) mode. Capacitive
compensation, series resistance compensation, and super-charging (prediction)
were used. In voltage-clamp experiments, the compensation ranged from 75 to
85%. Signals from dual current-clamp recordings were sampled at 20 KHz and
filtered at 10 KHz. Spontaneous activity was recorded in the presence of 1.2
mM kynurenate and 100 µM picrotoxin to block fast
synaptic transmission.
Drugs were applied to patches using quartz microcapillaries in a linear
array with control and drug-containing solutions in adjacent capillaries.
These experiments were performed using a HEPES-buffered external solution
containing (in mM): 140 mM NaCl, 4 mM KCl, 2
mM CaCl2,1mM MgCl2, 25
mM glucose, 10 mM HEPES, pH adjusted to 7.3, with
NaOH.
To construct activation curves, chord conductance (G) was calculated from
the peak current assuming ohmic behavior and a reversal potential of 95
mV. Activation and inactivation curves were fit with functions on the basis of
the Boltzmann function, 1/(1 + exp [±(V
Vh)/k]), where V is the
membrane potential, Vh is the potential at which
the value of the Boltzmann function is 0.5, and k is the slope
factor. Activation curves were fit with a Boltzmann function raised to the
fourth power. Inactivation curves were fit with a Boltzmann function plus a
constant. The curves shown in figures represent fits to the averaged data
obtained from pooling all experiments together. The parameters reported in the
text and Table 1 are the values
obtained by averaging the results of independent fitting of individual
experiments. In principle, this is a better procedure, because when data are
averaged before plotting the curves, the apparent slope may be reduced if
equally steep curves with slightly different midpoints are averaged. However,
the differences between the two sets of parameters were minor.
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Table 1. Comparison of potassium currents in outside-out patches from dendrites
and somata of cerebellar Purkinje neurons
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Data are reported as mean ± SEM, and error bars in figures also
represent SEM. SEMs of fit parameters were obtained by fitting data of
individual experiments separately.
Immunocytochemistry. Postnatal 1516-d-old LongEvans
rats were anesthetized with isoflurane and perfused through the left ventricle
with 30 ml of ice-cold saline followed by 200 ml of 4% paraformaldehyde, 0.2%
picric acid in 0.1 M phosphate buffer, pH 7.4. The brains were immersed in the
same fixative at 4°C for 16 hr and then transferred to 30% sucrose in
sodium phosphate buffer for 23 d. Twenty-five micrometer thick sagittal
sections were cut with a cryostat, mounted on glass slides, and then air-dried
and rehydrated in 0.1 M phosphate buffer, pH 7.4, for at least 40 min. The
sections were then treated for 10 min in 0.1 M PBS, pH 7.4, containing 0.3%
hydrogen peroxide (Sigma, St. Louis, MO) and 0.3% normal goat serum (Sigma) at
room temperature and then rinsed with TNT (0.1 M Tris-HCl, pH 7.5, 0.15 M
NaCl, 0.05% Tween 20) two times for 5 min each. Slices were washed in TNB (TNT
plus 1% goat serum; 2022°C for 1 hr) to minimize unspecific binding
and then incubated overnight at 4°C with primary diluted in TNB. Dilutions
were 1:1000 for mouse anti-calbindin (Sigma), 1:100 for rabbit anti-Kv3.4
(Alomone Labs, Jeruselum, Israel), and 1:300 for rabbit anti-Kv3.3 (kind gift
from Lisa Taylor and Dr. Teresa Perney). Afterward, sections were rinsed in
TNT (three times for 10 min each) and then incubated with the following
secondary antibodies: Alexa 488 goat anti-mouse (1:100; Molecular Probes,
Eugene, OR) and Rhodamine Red-X goat anti-rabbit (1:100; Jackson
ImmunoResearch Labs) for 1 hr at room temperature in TNB. Subsequently,
sections were washed once in TNT and twice in PBS (10 min each) and then
coverslipped in Vectashield mounting medium (Vector Laboratories, Burlingame,
CA). Sections were photographed using a confocal microscope (Bio-Rad MRC-1024
with 20, 40, or 60x objectives; Bio-Rad, Hercules, CA). Images were
merged using Adobe Photoshop 5.5 (Adobe Systems, San Jose, CA).
In all experiments, control experiments were performed by preincubating
sections (taken adjacent to the test sections) with the primary anti-Kv3.4 or
anti-Kv3.3 antibodies in the presence of a large molar excess of peptide
antigen. For all images shown, adjacent sections treated with an excess of
peptide antigen had only faint nonspecific staining when processed
identically.
 |
Results
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Voltage dependence and kinetics of dendritic potassium current
We characterized the voltage dependence and kinetics of voltage-activated
potassium current in outside-out patch recordings taken from Purkinje cell
dendrites
250 µm from the soma. All patches had detectable
voltage-activated potassium current, and most had currents of several hundred
picoamperes. Figure 1A
shows a typical family of currents recorded from a patch taken from a Purkinje
cell dendrite 140 µm from the soma.
Figure 1B shows peak
conductance as a function of voltage for collected data from 16 patches formed
at dendritic locations >100 µm from the soma. Currents required
relatively strong depolarizations to activate, with half-maximal activation at
10 ± 2 mV (n = 16). The conductance versus voltage
curve was well fit by a Boltzmann function raised to the fourth power, with a
slope factor of 23 ± 1 mV.

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Figure 1. Voltage dependence and kinetics of activation of dendritic potassium
currents. A, Potassium currents elicited in an outside-out patch
taken from a Purkinje cell dendrite (140 µm from the soma) by 200 msec
steps from a holding potential of 90 mV to voltages from 80 to
70 mV (10 mV intervals). B, Peak conductancevoltage
relationship for dendritic patches (mean ± SEM; 16 cells). Conductance
was calculated assuming a reversal potential of 95 mV and a linear
currentvoltage curve for open channels. The solid curve is given by
Boltzmann function raised to the fourth power: [1/(1 + exp
[-(V-Vh)/k])] 4,
where V is the membrane potential, Vh is
the potential at which the Boltzmann function is 0.5, and k is the
slope factor. Vh is 46 mV, and the slope
factor is 20 mV. This function reaches a midpoint at a value of
Vh + 1.67*k, or 13 mV.
C, Time course of activation at higher time resolution. D,
Time for current to rise from 10 to 90% of its peak value plotted against test
pulse voltage for 16 dendritic patches. These parameters are fits to the
averaged data. Table 1 shows
the values for midpoint, k, and noninactivating fraction obtained by
averaging fits to data from individual patches.
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Activation was rapid (Fig.
1C), with a 1090% rise-time of 3.1 ± 0.4
msec at 0 mV (n = 16) (Fig.
1D). Activation kinetics were strongly voltage dependent,
and rise-times decreased to near 1 msec for depolarizations positive to 40 mV.
Deactivation of the current was also very fast
(Fig. 2). Deactivation could
generally be fit well by a single exponential, with average time constants of
2.8 ± 0.9 msec at 40 mV and 1.1 ± 0.2 msec at 70
mV (n = 4).

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Figure 2. Rapid deactivation of dendritic potassium currents. A, Potassium
currents elicited in a dendritic outside-out patch (taken from dendrite 120
µm from soma) with a 5 msec step to 70 mV to fully activate the channels
followed by repolarization to voltages from 110 to 40 mV in 10
mV increments. Tail currents reversed between 80 and 90 mV.
B, Collected data (mean ± SEM) from four dendritic patches.
Protocols were as in A, except that both shorter (5 msec) and longer
(100 msec) activating steps to 70 mV were used. With the longer activating
pulses, the reversal potential of tail currents was approximately 50
mV, probably reflecting accumulation of potassium ions on the external surface
of the patch. This facilitated the measurement of time constants at 80
and 90 mV. Time constants did not depend on the length of the
activation pulse or the direction of current flow.
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Dendritic potassium currents showed partial inactivation, typically
decaying by 3050% over 200 msec for voltage steps positive to 0 mV. The
time course of decay could generally be fit well by two exponential functions
(Fig. 3A). Measured
for maximal activation by steps to 70 mV, the faster time constant had an
average value of 19 ± 3 msec (n = 26) and the slower time
constant was 377 ± 131 msec. On average, the fast inactivating
component contributed 24 ± 4% of the total peak current, the
slow-inactivating component contributed 31 ± 6%, and 45 ± 5%
remained after 200 msec. Figure 3,
B and C, shows the steady-state voltage
dependence of inactivation, determined by changing the holding potential for 5
sec before a 100 msec test pulse to 70 mV. A notable feature is that
inactivation becomes substantial only when depolarizations reach voltages at
which significant current is activated (positive to 40 mV). This
property differentiates these currents from A-type potassium currents mediated
either by Kv4 or Kv1.4 (Pak et al.,
1991
; Rettig et al.,
1992
) channels, which inactivate strongly at subthreshold
voltages.

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Figure 3. Voltage dependence and kinetics of inactivation of potassium current in
dendritic patches. A, Potassium current elicited by a 200 msec pulse
from 90 to 70 mV in a dendritic outside-out patch taken 140
µM from the soma. Inactivation could be fit by two exponentials
plus a constant, and the experimental trace is overlaid by a fitted curve with
18% of the current decaying with a time constant of 2.5 msec, 43% with a time
constant of 68 msec, and 39% nondecaying. B, Voltage dependence of
inactivation determined by changing the holding potential for 5 sec before a
test pulse to 70 mV (patch taken 70 µM from the soma).
C, Peak test pulse current versus prepulse voltage for prepulses of 5
sec (filled circles; mean ± SEM; n = 6) or 100 msec (open
circles; mean ± SEM; n = 10). Average values are fit by a
Boltzmann function decaying to a non-zero fraction, NI + (1 NI)/(1 +
exp[(V Vh)/k]), where
NI is the fraction of noninactivating current, Vh
is the midpoint for the inactivating fraction, and k is the slope
factor for the inactivating fraction. For 5 sec prepulses,
Vh = 39 mV, k = 11.0 mV, and NI =
0.07. For 100 msec prepulses, Vh = 32 mV,
k = 7.3 mV, and NI = 0.63. These parameters are for fits to the
averaged data. Table 1 shows
the values for Vh, k, and
noninactivating fraction obtained by averaging fits to data from individual
patches.
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|
When the voltage dependence of the inactivation of dendritic currents by a
5 sec prepulse was fit with a Boltzmann function plus a constant, the average
midpoint was 37.6 ± 4.5 mV, and the slope factor was 12 ±
0.6 mV (n = 6). Inactivation was nearly complete with depolarizations
beyond approximately 20 mV.
We also determined the voltage dependence of inactivation using 100 msec
prepulses, which approximate the time scale of complex spikes and short
plateau potentials that dendrites may experience. In this case, inactivation
was only partial (
3540%) even for depolarizations up to 10 mV
(Fig. 3C, open
circles). The midpoint of inactivation determined using 100 msec prepulses was
33.3 ± 3 mV, and the slope factor was 11.3 ± 3.4 mV, with
an average fraction of 58 ± 6% (n = 10) remaining
noninactivated. Interestingly, there was considerable heterogeneity among
individual dendritic patches in the susceptibility to inactivation by 100 msec
prepulses, ranging from 20 to 70% of the total current.
Comparison with somatic currents
Figure 4 illustrates how the
current magnitude and degree of inactivation depend on the distance from the
soma. Outside-out patches were taken at positions varying from the soma itself
to the distal dendrites. Overall, currents in somatic patches
(Fig. 4A) were very
similar to those in dendritic patches
(Table 1). Their voltage
dependence was very similar, with half-maximal activation at 12
± 2 mV (n = 18) and a slope factor of 18 ± 2 mV when
fit by a Boltzmann function to the fourth power
(Fig. 4B). As for
dendritic currents, somatic currents had rapid activation and deactivation
kinetics (Table 1). However,
there were two trends evident when examining currents as a function of
distance from the soma. On average, currents were somewhat smaller with
increasing distance from the soma (Fig.
4C). The average current amplitude for a step from
90 to 70 mV was 779 ± 130 pA in somatic patches (25 patches),
440 ± 46 for dendrites
100 µm from the soma (70 patches), and
361 ± 54 pA for dendrites at distances >100 µm (28 patches).
There was a high degree of variability in the size of potassium currents from
individual patches from both soma and dendrites, suggesting a nonuniform
patchy distribution of channels in both areas (some variability may also
reflect patch sizes, although to minimize this, patches were included in the
statistics only for pipette resistances between 7 and 11 M
).

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Figure 4. Dependence of potassium current amplitude and degree of inactivation on
distance from soma. A, Potassium currents elicited in a somatic patch
by 200 msec steps from a holding potential of 90 mV to voltages from
80 to 70 mV (10 mV intervals). B, Peak
conductancevoltage relationship for somatic patches (mean ± SEM;
18 cells). Conductance was calculated assuming a reversal potential of
95 mV and a linear currentvoltage curve for open channels. Solid
curve is a Boltzmann function raised to the fourth power, with a midpoint
potential of 11.5 mV and slope factor 18 mV. C, Magnitude of
peak potassium current (step from 90 to 70 mV) in outside-out patches,
plotted as a function of distance from the soma from which the patch was
formed (closed circles). To facilitate the comparison, only data obtained with
711 M pipettes are plotted. The white symbol indicates mean
± SEM for patches from the cell body with the same range of electrode
resistances. The solid line is leastsquares to the data and has an x-intercept
of 652 pA and slope of 2.3 pA/µm. D, The ratio of the
current remaining after 100 msec to the peak current is plotted versus
distance from soma (closed circles). Steps were to 70 mV. The white symbol
indicates mean ± SEM for patches from the cell body. Solid line is
least-squares to the data and has an x-intercept of 0.77 and slope of
0.0016 µm 1.
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There was also a trend evident in the degree of inactivation with distance
from the soma (Fig.
4D), with inactivation being more pronounced with
increasing distance from the soma. For depolarizations to 70 mV, the ratio of
noninactivating current (measured after 100 msec) to peak current decreased
from 0.75 ± 0.02 (n = 28) for somatic patches to 0.67 ±
0.02 (n = 71) for dendrites
100 µm from the soma and to 0.55
± 0.02 (n = 28) for distal dendrites (>100 µm from the
soma). Interestingly, although somatic currents on average inactivated less
completely during 100 msec or 200 msec pulses, the value of the fast
inactivation time constant was similar to that of dendritic patches. Moreover,
the parameters of the steady-state inactivation curve obtained using a 5 sec
prepulse were very similar for somatic and dendritic currents
(Table 1).
Sensitivity to TEA and 4-aminopyridine
The potassium currents in dendritic membranes were highly sensitive to
block by external TEA (Fig.
5A). At 0.1 mM, TEA blocked the current by 46
± 4%, and 1 mM TEA blocked 76 ± 4% of the current.
The doseresponse curve (Fig.
5B) suggested that
80% of the total potassium
current is highly sensitive to TEA with a half-blocking concentration of
100 µM for this component. There also appears to be a
component of current (
20% of the whole) with much lower sensitivity to
TEA, being only partly blocked by 10 mM.

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Figure 5. Pharmacology of dendritic potassium currents. A, Effects of
increasing concentrations of external TEA on currents evoked by 200 msec
pulses from 90 to 70 mV in a dendritic patch (excised 50 microns from
soma). B, Doseresponse curve for block of dendritic current by
external TEA. The solid curve represents fit by the logistic equation to the
data up to 3 mM TEA, 0.8/[1 + (TEA)/Kd] + 0.2,
with Kd = 85 µM. C, Effect of 4-AP
on currents from a dendritic outside-out patch (excised 75 microns from soma).
D, Doseresponse curve for block of dendritic current by 4-AP.
The solid curve represents fit by the logistic equation with variable slope
(Hill coefficient) given by 0.81/(1 +
[(4-AP)/Kd]n) + 0.19, with
Kd = 86 µM and n = 1.7.
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It has been found previously that somatic potassium currents in mouse
Purkinje neurons are effectively blocked by external TEA
(Raman and Bean, 1999
;
Southan and Robertson, 2000
)
with a half-blocking concentration of 120 µM for somatic
currents in outside-out patches (Southan
and Robertson, 2000
). In agreement, we found that 1 mM
external TEA blocked 79 ± 3% (n = 9) of the total potassium
current in patches taken from the somata of rat Purkinje neurons (data not
shown), which was almost identical to the sensitivity of rat dendritic
channels under the same conditions (76 ± 4% block by 1 mM
TEA). Thus, both dendritic and somatic potassium currents have a predominant
component that is highly sensitive to external TEA.
The potassium currents in the dendrites were also highly sensitive to 4-AP.
At 100 µM, 4-AP blocked approximately half the total current
(Fig. 5C). The
doseresponse curve (Fig.
5D) suggests that a component of the total current
comprising
80% is highly sensitive to 4-AP with a half-blocking
concentration of 86 µM. The high sensitivity of most of the
dendritic potassium current to 4-AP in rat neurons is very similar to previous
results with somatic potassium current in mouse Purkinje neurons, in which
4-AP acted with a half-blocking concentration of 133 µM
(Southan and Robertson, 2000
).
In our experiments,
20% of the current was resistant even to high
concentrations of 4-AP with little additional effect of 3 mM 4-AP
compared with 1 mM; this is slightly different from somatic
currents in mouse neurons, in which virtually all current was blocked by 5
mM 4-AP (Southan and Robertson,
2000
).
The high sensitivity to 4-AP of the potassium current in outside-out
patches from rat dendritic membrane is nicely consistent with previous
current-clamp recordings from dendrites of guinea-pig Purkinje neurons, in
which outward rectification was reduced by low concentrations of 4-AP
(Etzion and Grossman,
2001
).
Immunocytochemistry
These results show that the predominant potassium current in the dendritic
membrane of Purkinje cells requires relatively large depolarizations to be
activated and has rapid activation and deactivation kinetics as well as high
sensitivity to both external TEA and 4-AP. These properties are all
characteristic of members of the Kv3 family
(Martina et al., 1998
;
Rudy and McBain, 2001
;
Lien et al., 2002
). We
therefore used immunocytochemistry to test whether particular members of the
Kv3 family of subunits are present in the dendrites of Purkinje neurons. We
found clear staining for both Kv3.3 and Kv3.4 subunits
(Fig. 6). With antibodies to
both subunits, staining was present both in cell bodies and throughout the
dendritic tree. With Kv3.3 antibodies, there was prominent staining of both
cell bodies and dendrites (Fig.
6AC), suggesting that Kv3.3 subunits are highly
expressed in both compartments. Staining of cell bodies and proximal dendrites
was especially strong. The same results were obtained in four different slices
from three different animals. Antibodies to Kv3.4 subunits also stained both
cell bodies and dendrites (Fig.
6DG); however, staining generally appeared
stronger in the dendrites than in the cell bodies, and there were often
segments of distal dendrites that showed very strong staining
(Fig. 6H, arrow). The
same results were obtained in six different slices from three different
animals.

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Figure 6. Immunostaining for Kv3.3 and Kv3.4 subunits in somata and dendrites of
Purkinje neurons. A, Confocal image of Purkinje cell layer after
staining with antibodies to Kv3.3 (red). B, Same slice stained using
primary antibodies to calbindin (green). C, Merged image. D,
Higher magnification merged image of staining by Kv3.3 (red) and calbindin
(green). EG, Staining with antibodies to Kv3.4 (E,
red), calbindin (F, green), and merged image (G).H,
Higher magnification merged image of staining by Kv3.4 (red) and calbindin
(green). Note the colocalization of the antibodies in many regions of distal
dendrites (including that marked by an arrow). For both Kv3.3 and Kv3.4
staining, controls were run by staining adjacent sections and processing them
in parallel except that the antibodies were preincubated with 100-fold excess
of antigenic peptide; there was only very faint nonspecific staining of cell
body cytoplasm present in the controls.
|
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Activation by action potentials and synaptic potentials
Under what conditions are dendritic potassium channels activated, and what
is their functional role? To explore these questions, we made current-clamp
recordings of the voltage trajectory of dendritic membrane under various
circumstances and then performed voltage-clamp experiments to examine whether
those voltage patterns activated dendritic potassium currents in outside-out
patches, often formed using the same pipette used to make the current-clamp
recordings. Purkinje neurons often fire spontaneous action potentials in a
highly regular manner (Häusser and
Clark, 1997
), and in cerebellar slices, spontaneous firing becomes
faster and more regular when ongoing basal synaptic activity is blocked
(Häusser and Clark,
1997
). Figure
7A shows how the action potential height of spontaneous
action potentials changed with distance from the soma in our experiments. The
inset in Figure 7 shows a
typical example in which simultaneous current-clamp recordings were made in
the cell body and dendrite (in this case, at a distance of 60 µm). The
spontaneous spikes in the cell body had amplitude of 56 mV, whereas those
measured in the dendrite 60 µm away had an amplitude of 37 mV. Collected
results are shown in Figure
7A; the decline with a distance of spontaneous action
potentials is very similar to that observed previously by Stuart and
Häusser (1994
) and
Pouille et al. (2000
) for
action potentials elicited by current injection. The data show that within
7080 µm of the soma, spontaneous spikes commonly have peaks
positive to 40 mV, the voltage at which activation of dendritic
potassium current becomes substantial. Thus, at least for the proximal
dendrite, there is the potential for dendritic potassium channels to be
activated during spontaneous action potentials.

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Figure 7. Activation of dendritic potassium current by truncated dendritic spikes.
A, Peak amplitude of dendritic action potentials (from spontaneous
firing of neurons with no injected current) plotted against distance from
soma. The dashed line represents the average voltage at which dendritic
K+ currents activate by 10%. Inset, voltage traces of
spontaneous activity obtained recording simultaneously from soma and dendrite
of a Purkinje neuron. B, Voltage traces recorded from another
dendrite (top); the recordings used as voltage command activated potassium
currents in the outside-out patch obtained from the same dendrite.
|
|
However, it is also necessary to establish that activation of the dendritic
channels is sufficiently rapid to be activated during the action potential in
the dendrite, especially because action potentials in Purkinje neurons are
very narrow (0.53 ± 0.02 msec; half-height width; measured in the soma;
23°C; n = 14 cells). The experiment in
Figure 7B shows
directly that dendritic potassium channels are activated by the action
potentials they experience. In this experiment, the recording pipette was
first used to make a current-clamp recording from the dendrite (at 35 µm
from the soma), and spontaneous spikes with amplitude of
35 mV (occurring
at a frequency of
50 Hz) were recorded (top trace). The dendritic pipette
was then detached to form an outside-out patch, and we tested whether the
previously recorded segment of spontaneous activity used as command voltage
could activate the potassium channels in the patch. There was substantial
activation during the spikes. In this patch, peak current activated by a step
to 70 mV was 170 pA; thus, expressed in terms of conductance and assuming a
reversal potential of 95 mV, the current of
5 pA elicited at the
peaks of the dendritic action potentials (10 mV) represents
6% of
the maximal conductance when the channels are fully activated. In three
experiments with patches taken from distances between 35 and 60 µm from the
soma, dendritic spikes activated 8 ± 3% of the maximal potassium
conductance in the patch.
Activation of potassium current by the spikes in the proximal dendrite
would be predicted to actively dampen the dendritic spike beyond the
truncation from the passive properties of the dendrite. The high sensitivity
of the dendritic potassium channels to external TEA provides a way of testing
this prediction. Figure 8 shows
such an experiment in which a prerecorded waveform taken from current-clamp
stimulation of a Purkinje neuron cell body was applied as a voltage-clamp
command at the cell body. A second electrode recorded the voltage response at
a dendritic location 35 µm away with 300 nM TTX present in the
external solution to prevent spontaneous firing of the neuron and avoid
eliciting uncontrolled sodium currents in the cell body. As expected, the
voltage recorded at the dendrite (height, 35 mV) was much smaller than that at
the cell body (94 mV). When 1 mM TEA was added to the external
solution, the spikes measured at the dendrite became larger and also broader.
This suggests that dendritic potassium channels have the effect of both
truncating and narrowing the dendritic spike, at least in the proximal
dendrite. In collected data from three cells, the half-duration of dendritic
spikes increased from 0.66 ± 0.03 msec in control to 0.87 ± 0.03
msec after block of potassium currents by 1 mM TEA.

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Figure 8. Dendritic potassium channels actively depress and narrow sodium spikes in
the dendrite. A, A double recording was performed from soma and
dendrite of a Purkinje neuron in the presence of 300 nM TTX. The
soma was voltage clamped with a trace of Purkinje neuron spontaneous activity
(A). The dendritic pipette recorded in current-clamp passively spread
action potential either in control condition or after bath application of 1
mM TEA (B). C, The first action potential in the
train (area indicated by arrows) shown on an expanded scale. Note the large
increase in spike duration and the incomplete repolarization induced by
TEA.
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|
Purkinje neurons receive excitatory synaptic input from the inferior olive
by means of climbing fibers, which form powerful 1:1 synaptic connections with
Purkinje neurons. Stimulation of a single climbing fiber evokes a large,
all-or-none EPSP on which multiple action potentials are superimposed, the
"complex spike" (Eccles et al.,
1966
). Complex spikes probably represent complicated interaction
of synaptic currents with intrinsic membrane properties of both dendrites and
cell body (Llinás and Sugimori,
1980
; Callaway and Ross,
1997
; Pouille et al.,
2000
; Cavelier et al.,
2002
). The superimposed fast spikes originate in the soma
(Stuart and Häusser,
1994
) and are not evident in dendrites more distal than 70 µm
or so. However, the underlying maintained depolarization can have a magnitude
of 4050 mV even in distal dendrites
(Stuart and Häusser,
1994
; Callaway and Ross,
1997
). Figure 9
shows the response to climbing fiber stimulation measured in a dendrite 75
µm from the soma with the depolarization reaching nearly 30 mV. When
the recording electrode was pulled away to form an outside-out patch and the
patch was stimulated by the recorded waveform, there was a substantial
potassium current (33 pA) elicited, which reached a peak a few milliseconds
later than the peak of the voltage response. In this patch, the peak current
activated by a step to 70 mV was 670 pA, and the current during the climbing
fiber response corresponded to
15% of the maximal available potassium
conductance. This experiment makes it clear that substantial dendritic
potassium currents are activated during climbing fiber responses and shows
that they must influence the duration and shape of the response. This
experiment was performed in the dendrites of five different neurons, at
distances ranging from 45 to 85 µm times (four using the climbing fiber
response of each cell as voltage command and one using the responses from
another cell). The peak of the climbing fiber EPSP varied from 35 to
24 mV, and the average potassium conductance activated by the EPSP as
waveform was 8 ± 4% of the conductance activated by a step from
90 to 70 mV.

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Figure 9. Activation of dendritic potassium current by climbing fiber response.
A, Voltage response to climbing fiber stimulation recorded in a
dendrite at 75 µm from the soma. B, After forming an outside-out
patch using the same pipette at the same location, the recorded voltage
response was used as voltage command to record the potassium current elicited
in the dendrite by the EPSP.
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Discussion
|
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Molecular composition of dendritic potassium channels
The predominant potassium currents in outside-out patches from Purkinje
cell dendrites had rapid activation and deactivation kinetics and high
sensitivity to external TEA and 4-AP, consistent with Kv3 family potassium
channels (Grissmer et al.,
1994
; Martina et al.,
1998
; Rudy and McBain,
2001
; Lien et al.,
2002
). In concordance, the immunocytochemical experiments show the
presence of Kv3.4 and Kv3.3 protein in both dendrites and somata of Purkinje
neurons. Previously, Kv3 family channels were most commonly found localized in
somata, axons, and presynaptic terminals of neurons
(Rudy and McBain, 2001
), but
dendritic Kv3.3 subunits have been described in Purkinje cells of an apteronid
fish (Rashid et al., 2001
),
consistent with our results. The presence of Kv3.3 subunits is consistent with
previous in situ labeling for Kv3.3 mRNA in mouse Purkinje neurons
(Goldman-Wohl et al.,
1994
).
Our results showing prominent staining for Kv3.4 protein in Purkinje
neurons differs from a previous study (Veh
et al., 1995
; Laube et al.,
1996
). The antibodies used for this previous work were raised
against a region in the C terminus of the Kv3.4a protein that is
25%
different in the Kv3.4c splice variant
(Veh et al., 1995
;
Vullhorst et al., 2001
),
whereas the antibodies that we used were raised to a region (residues
177195 of the N-terminal region) that is conserved between Kv3.4a and
Kv3.4c proteins. It is possible that Kv3.4c subunit expression is higher than
that of Kv3.4a subunits or is more easily detected by antibodies.
Kv3.1 RNA is present at low levels of expression in Purkinje neurons
(Weiser et al., 1994
), and
expression declines dramatically between P10 and P17 (M. K. Jarvinen, M. Fry,
D. M. Porter, and R. A. Maue, personal communication). Consistent with this,
we found that antibodies to Kv3.1b protein produced no detectable staining of
either Purkinje cell dendrites or somata in P15P16 rats while robustly
staining hippocampal neurons (G. L. Yao, unpublished data), consistent with
previous results (Weiser et al.,
1995
).
Different Kv3 family subunits have different kinetic properties. Homomers
of Kv3.3 subunits inactivate slowly (hundreds of milliseconds)
(Rudy and McBain, 2001
).
Kv3.4a homomeric channels inactivate rapidly (tens of milliseconds) and
completely (Rettig et al.,
1992
; Diochot et al.,
1998
; Rudy and McBain,
2001
), and Kv3.4c channels inactivate more slowly and less
completely than Kv3.4a channels (G. Baranauskas, T. Tkatch, and D. J.
Surmeier, personal communication). Kv3 family heteromers have been shown to
form in heterologous expression systems
(Weiser et al., 1994
;
Rudy and McBain, 2001
) and
mediate currents with kinetic properties intermediate between the component
subunits. Thus, the components of dendritic current with different
inactivation kinetics might represent channels formed by different mixtures of
Kv3.3, Kv3.4a, and Kv3.4c subunits, perhaps with other Kv3 family subunits as
well.
Approximately 20% of the current in dendritic patches was left unblocked by
3 mM TEA or 3 mM 4-AP. Additional analysis will be
required to identify the channels underlying this component. Sacco and Tempia
(2002
) have described a
TEA-resistant A-type potassium current in whole-cell recording from mouse
Purkinje neurons much younger (39 d old) than the rat Purkinje neurons
we studied (1421 d old); the TEA-resistant current comprised
approximately one-third of the total in their experiments, suggesting
developmental changes in contributions from different potassium channels (cf.
Yool et al., 1988
).
Comparison with somatic potassium channels
Channels in somatic patches had very similar voltage dependence, kinetics,
and pharmacology as dendritic channels
(Table 1). Our results for
somatic potassium channels are very similar to those obtained previously in
the somata of mouse Purkinje neurons
(Raman and Bean, 1999
;
Southan and Robertson, 2000
).
Together, these results suggest that the predominant voltage-activated
potassium channels in the cell bodies of Purkinje neurons are also of the Kv3
family, and our immunocytochemical results show staining of both Kv3.3 and
Kv3.4 subunits in the somata as well as dendrites of Purkinje neurons.
Purkinje neurons are known to possess both SK-type and BK-type
calcium-activated potassium channels (Yool
et al., 1988
; Gähwiler
and Llano, 1989
; Gruol et al.,
1991
; Jacquin and Gruol,
1999
; Cingolani et al.,
2002
; Womack and Khodakhah,
2002a
,
2003
;
Edgerton and Reinhart, 2003
),
and there is some evidence that these channels are expressed to at least some
extent in dendrites (Gruol et al.,
1991
; Cingolani et al.,
2002
; Womack and Khodakhah,
2003
). There was usually no sign of calcium-activated current in
our recordings; calcium channel activity was apparently not maintained in the
patches, because we never saw inward calcium currents. Only very seldom, and
for strong depolarizations (Vm, >20 mV), did we observe individual openings
of large conductance channels resembling the BK type of calcium-dependent
potassium channels. The characterization of calcium-activated potassium
channels in Purkinje cell dendrites may require different experimental
approaches (Womack and Khodakhah,
2002a
).
Functional significance
Unlike many other types of neurons, sodium-dependent action potentials are
not effectively propagated in the dendrites of Purkinje neurons because
dendritic sodium-channel density is low
(Stuart and Häusser,
1994
). It is therefore somewhat unexpected to find strong
dendritic expression of Kv3 family potassium channels whose high threshold and
rapid activation are most obviously suited to give rapid repolarization of
large, narrow action potentials in fast-spiking cells. Despite the absence of
backpropagating sodium spikes, the density of voltage-activated potassium
current in Purkinje cell dendrites is similar or higher than in several cell
types in which sodium action potentials do actively propagate into dendrites
(Hoffman et al., 1997
;
Bekkers, 2000
;
Korngreen and Sakmann, 2000
;
Martina et al., 2000
). Our
results suggest that one functional role of these channels is to help quickly
damp even the passive propagation of action potentials into the dendritic tree
(cf. Roth and Häusser,
2001
). Crucial for this function is the rapid activation kinetics
of dendritic currents, even at voltages at the foot of the activation
curve.
The inactivation properties of Kv3 channels of Purkinje cell dendrites
differ considerably from the inactivation of potassium current in dendrites of
pyramidal neurons, which is primarily attributable to Kv4 family channels
(Maletic-Savatic et al., 1995
;
Hoffman et al., 1997
;
Hoffman and Johnston, 1998
).
The midpoint of inactivation for the inactivating component of dendritic
channels in Purkinje neurons (38 mV) is much more positive than that in
dendrites of pyramidal neurons (56 mV)
(Hoffman and Johnston, 1998
).
The channels in pyramidal neuron dendrites would be almost completely
inactivated at the more depolarized voltages typical of spontaneously firing
Purkinje neurons, whereas the Kv3 channels are still available.
Our results with climbing fiber stimulation show that climbing fiber EPSPs
are large enough to activate potassium channels, even in fairly distal
dendrites, so that the presence of the channels will help determine the
magnitude and duration of such EPSPs. Distal dendrites are also known to
support slow calcium-dependent spikes and plateau potentials that can reach
potentials near 0 mV (Llinás and
Sugimori, 1980
; Pouille et
al., 2000
). Unlike sodium spikes, calcium spikes are, if anything,
larger in more distal dendrites (Pouille
et al., 2000
). It seems likely that the Kv3 channels that we found
in distal as well as proximal dendrites help terminate such calcium spikes. In
addition, the threshold for calcium spikes is fairly high, so that the rapidly
activating potassium currents may influence the threshold. Consistent with a
role of Kv3 channels in regulating calcium spikes, low concentrations of 4-AP
have been found to decrease threshold and increase amplitude for calcium
spikes recorded in the dendrites of guinea pig Purkinje neurons (Etzion and
Grossman, 1998
,
2001
). The partial
inactivation of the dendritic potassium currents would be expected to
influence the timing of calcium spikes and plateau potentials; indeed, a role
for an inactivating potassium conductance in controlling the timing and
amplitude of dendritic calcium spikes has been suggested previously in turtle
Purkinje cells (Midtgaard et al.,
1993
). Inactivation properties may also be important for climbing
fiber responses that occur in rapid succession. Kv3.4 channels can
dramatically change their inactivation properties after phosphorylation
(Covarrubias et al., 1994
),
raising the possibility that modulatory transmitters could affect the
integrative properties of the dendrites by this mechanism.
In many cases, Kv3 family channels have activation curves with midpoints
near 10 mV (Rudy and McBain,
2001
), so that 510% of activation requires depolarization
to approximately 20 mV or beyond. In contrast, the current in Purkinje
neuron dendrites has a midpoint near 10 mV and significant current
begins to activate at 40 mV. In general, Kv3 family channels are found
in soma, axons, and presynaptic terminals of fast-spiking cells, and their
requirement for strong depolarization means that they are only activated
during full-blown action potentials (Rudy
and McBain, 2001
). However, there are no full-blown sodium spikes
in the dendrites of Purkinje neurons. The voltage dependence of the channels
in Purkinje cell dendrites ensures that the channels can be activated even by
truncated sodium spikes as well as by calcium spikes and climbing fiber
responses. Yet the requirement for depolarization beyond 40 mV means
that they will not be effectively activated by moderate-sized EPSPs from
parallel fiber synapses or interfere with temporal or spatial summation of
such EPSPs at subthreshold voltages.
 |
Footnotes
|
|---|
Received Mar. 6, 2003;
revised Apr. 16, 2003;
accepted Apr. 18, 2003.
This work was supported by National Institutes of Health Grants NS36855 and
NS38312. We are very grateful to Lisa Taylor and Dr. Teresa Perney (Rutgers,
The State University of New Jersey, Newark, Center for Molecular and
Behavioral Neuroscience) for the kind gift of antibodies to Kv3.3 and helpful
comments on this manuscript.
Correspondence should be addressed to Bruce Bean, Department of
Neurobiology, Harvard Medical School, 220 Longwood Avenue, Boston, MA 02115.
E-mail:
bruce_bean{at}hms.harvard.edu.
Copyright © 2003 Society for Neuroscience
0270-6474/03/235698-10$15.00/0
 |
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