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Plant Physiol, February 2001, Vol. 125, pp. 1142-1150
Potassium-Efflux Channels in Extensor and Flexor Cells of the
Motor Organ of Samanea saman Are Not Identical. Effects of
Cytosolic Calcium1
Menachem
Moshelion and
Nava
Moran*
Department of Agricultural Botany, Institute of Plant Sciences and
Genetics in Agriculture, Faculty of Agricultural, Food and
Environmental Quality Sciences, The Hebrew University of Jerusalem,
Rehovot 76100, Israel
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ABSTRACT |
Leaflet movements in the mimosa-family tree Samanea
saman stem from coordinated volume changes of cells in the leaf
motor organs in the adaxial and abaxial motor cells ("flexors" and
"extensors"). Shrinking, initiated by dissimilar light signals in
extensors and in flexors, depends in both cell types on K+
efflux via depolarization-dependent potassium (KD)
channels. To compare between flexor and extensor KD
channels and to test for a possible interaction of these channels with
the Ca2+-mobilizing phosphoinositide cascade evoked in
these motor cells by the "shrinking signals," we probed the
channels with varying (5 nM-3 mM)
cytosolic free-Ca2+ concentration
([Ca2+]cyt) in patch-clamped inside-out
excised membrane patches. Ca2+ was not required for
KD channel activation. [Ca2+]cyt
of 600 nM decreased the mean number of open
KD channels in flexors, as monitored at 30 mV. Detailed
analysis revealed that in flexors millimolar
[Ca2+]cyt decreased the maximum number of
open channels, but simultaneously increased KD channel
opening probability by negatively shifting the half-maximum-activation
voltage by 40 to 50 mV. Thus, the promoting and the inhibitory effects
at millimolar [Ca2+]cyt practically
cancelled-out. In contrast to flexors, none of the gating parameters of
the extensor KD channels were affected by
[Ca2+]cyt. Irrespective of
[Ca2+]cyt, the steady-state gating of
extensor KD channels was slightly but significantly more
voltage sensitive than that of flexors. The unitary conductances of
flexor and extensor KD channels were similar and decreased
by approximately 20% at millimolar
[Ca2+]cyt. It is intriguing that the extensor
KD channels were significantly less K+
selective than those in flexors.
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INTRODUCTION |
Considerable insight into the
regulation of plant K+-efflux channels
(Kout or KD channels) has
been achieved in one particularly well-studied model system, the
stomatal guard cell (for reviews, see MacRobbie, 1998 ; Assmann and
Shimazaki, 1999 , and refs. therein), but even there the underlying
mechanisms are not completely understood. To gain insight into the
regulation of the KD channels we study another
model system: the motor cells in a leaf-moving organ, the pulvinus, in
the mimosa-family tree Samanea saman. The pulvinus moves
leaves and leaflets by virtue of osmotic volume and turgor changes of
its motor cells, resulting from the movement of ions, chiefly
K+ and Cl , into and out
of the cells (Satter and Galston, 1981 ; Satter et al., 1988 ). Signals
causing leaf unfolding (e.g. blue light) cause cell shrinking in the
top (adaxial, flexor) one-half of the pulvinus and swelling in the
bottom (abaxial, extensor) one-half. Signals causing leaf folding (e.g.
red light followed by dark) cause the reverse responses. In both cell
types, K+ is released passively from the
shrinking cell into the apoplast (Moran et al., 1988 ; Satter et al.,
1988 ; Lowen and Satter, 1989 ). In flexors, blue light (a "shrinking
signal") has been demonstrated recently to promote the opening of
KD channels (Suh et al., 2000 ). KD channels open, presumably, in shrinking
extensors as well. The abundance of KD channels
in the S. saman motor cell membrane is quantitatively more
than sufficient to conduct K+ fluxes needed to
account for the osmotic changes. Moreover, KD channels are essential to the shrinking of the motor cells and hence,
to pulvinar movements, as demonstrated by the arrest of movement by the
KD channel blocker, tetraethylammonium (Moran et
al., 1988 ).
In both cell types, the "shrinking signaling" (blue-light
illumination of flexor protoplasts, or imposition of darkness on extensor protoplasts) results in the formation of 1,4,5-inositol trisphosphate (Kim et al., 1993 , 1996 ), a second messenger in the
phosphoinositide (PI) cascade (Berridge and Irvine, 1989 ; Berridge,
1997 ). According to the present paradigm on the roles of the PI cascade
and Ca2+ mobilization in the shrinking of
stomatal guard cells (Blatt et al., 1990 ; Gilroy et al., 1990 ; McAinsh
et al., 1990 ; Irving et al., 1992 ; Lee et al., 1996 ),
K+-efflux channels in guard cells are activated
by depolarization resulting from Ca2+ activation
of Cl efflux (Schroeder and Hagiwara, 1989 ).
Although a similar paradigm is generally applicable to the shrinking of
S. saman motor cells (Moran, 1990 ), depolarization is not
the sole activator of K+ efflux in these (flexor)
cells (Suh et al., 2000 ), nor is it in guard cells (Blatt, 1990 ;
Lemtiri-Chlieh and MacRobbie, 1994 ), although the other effector is not
known. Direct interaction with Ca2+ could be
another plausible mode of regulation of K-efflux channels by the
PI cascade. Cytosolic Ca2+ did promote the
activation of K+-efflux channels in the plasma
membrane in corn suspension cell protoplasts (Ketchum and Poole, 1991 ),
in the alga Mougeotia (Lew et al., 1990 ), and in the
alga Eremosphera viridis (Bauer et al., 1998 ). In guard
cells, Kout channels were reported by some to be
Ca2+ insensitive (Hosoi et al., 1988 ; Schroeder
and Hagiwara, 1989 ; Lemtiri-Chlieh and MacRobbie, 1994 ), whereas
others reported their inhibition by cytosolic
Ca2+ of 200 nM (relative to
2 nM; Fairley-Grenot and Assmann, 1992 ). In
addition, Ca2+ entry enhanced the rundown of
outward-rectifying K+ channels in pulvinar cells
of Mimosa pudica (Stoeckel and Takeda, 1995 ).
In view of these different possibilities, and since the coupling of the
PI cascade to KD channels in shrinking S. saman motor cells has not yet been resolved, the sensitivity of
flexor and extensor KD channels to
Ca2+ needs to be examined. Moreover, since the
initiation of shrinking of S. saman motor cells is linked to
a different photoreceptor in the flexors and extensors, the question
arises whether, in each cell type, this cascade is linked differently
also at the effector end, to the K+-efflux
channels. In fact, a detailed comparison between the
KD channels of the two cell types has not been
carried out and in spite of their mutual resemblance noticed so far
(Moran et al., 1988 , 1990 ), these K+-efflux
channels might not even be the same molecular entities in flexors and
extensors. For example, the two outward-rectifying K+ channels, KCO1 and SKOR1, cloned recently from
Arabidopsis, display superficially similar behavior in heterologous
expression systems (e.g. are activated by depolarization exceeding the
K+ reversal potential
[Erev]), although they are encoded by
genes from different potassium channel families (Czempinski et al., 1997 ; Gaymard et al., 1998 ). Such a possibility merits the comparison of the flexor and extensor K+-efflux channels.
To address the above questions, we examined the cytosolic
[Ca2+] dependence of KD
channels by patch clamp, in inside-out patches excised from both
extensor and flexor cells. In this configuration, the
[Ca2+] in the vicinity of the channel is
controlled much more strictly than in the whole-cell configuration,
where the channels in the plasma membrane are in a rather close
proximity to the Ca2+-storing (and potentially
Ca2+-releasing) organelles: vacuole,
mitochondria, chloroplasts, and endoplasmic reticulum. We investigated
the Ca2+ dependence of the outward-rectifying
plant K+ channels in the plasma membrane at a
single channel level. To our knowledge, this is the first such detailed
analysis of higher plant K+-efflux channels in
situ. This analysis revealed differences in three properties between
the flexor and the extensor KD channels: in
Ca2+ sensitivity, in K+
selectivity, and in voltage sensitivity.
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RESULTS |
Cytosolic Ca2+ Affects Flexor KD Channel
Gating
The activity of single KD channels in a
representative patch from an extensor protoplast, with 600 nM free Ca2+ at the cytoplasmic side,
is shown in Figure 1. As "befits"
KD channels, the channel activity increased with
depolarization. At a saturating depolarization, eight channels were
open simultaneously in this patch. From the linear unitary
current-voltage relationships we were able to deduce the
Erev of 79 mV (Fig. 1B), and the mean single-channel conductance ( S) of 17.5 pS (the
slope of iS-EM, the
idealized single-channel current-voltage relationship; Fig. 1C). From
the proximity of Erev to
EK ( 79 and 78 mV, respectively), we
concluded that these channels were K+ selective
{for comparison, the respective equilibrium potentials of the other,
potentially permeant, ions Cl ,
H+, and Ca2+ were:
ECl, +117 mV;
EH, +72 mV; and
ECa, 13 to +244 mV, depending on the
value of the cytosolic concentration of free Ca2+
([Ca2+]cyt)}.

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Figure 1.
Unitary outward K+ currents
via KD channels versus
EM, from a representative "inside-out"
patch of a S. saman extensor cell protoplast, during a slow
voltage ramp. A, A linearly increasing voltage ramp applied to the
patch membrane. B, Three traces of current (superimposed) during the
voltage ramp. Note the "up and down steps" signifying opening and
closing of KD channels. Straight lines fitted
manually to open-channel currents indicate idealized current levels
through "n" (nos. to the right) simultaneously open
KD channels. Note the increase of "n" with
the increased depolarization. ILeak,
Current recorded when all KD channels are closed.
Erev, 79 mV. C, Initial analysis.
IS, Mean of three current records;
iS, idealized unitary current through a
single open channel; ILeak, as in B; 0, the
level of zero current. D, Voltage dependence of
KD channel activation. The was
calculated as a point-by-point ratio of currents in C (corrected for
leak; Eq. 2). Note that increases with membrane
depolarization. Dashed line, Boltzmann relationship (Eq. 4), with the
following parameters (see "Materials and Methods"):
max = 5.9;
E1/2= 37 mV; z = 1.4.
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To evaluate their steady-state gating properties, we plotted the mean
number of open channels ( ), versus membrane potential (EM) and fitted these data with the
Boltzmann relationship (Eq. 3; Fig. 1D). At a non-saturating potential
of 30 mV, a fraction of KD channels was usually
active. We quantified this activity in patches from 11 extensor and 10 flexor protoplasts, in different [Ca2+]cyt, in terms of
@-30, the at
30 mV, which was read off the Boltzmann curve (Fig. 1D).
@-30 values were then pooled into
five groups of three to seven patches each, according to subranges of
[Ca2+]cyt (Fig.
2; "Materials and Methods"). Data
from individual patches were connected by lines, to reveal potential
trends. We detected no consistent effect of
[Ca2+]cyt in the
individual patches (Fig. 2, A and B). However, among the averaged
values of @-30 at the different
[Ca2+]cyt, flexor
@-30 values at 15 nM were significantly larger than those at 600 nM (Fig. 2C). Since, potentially, inhibitory effects of [Ca2+]cyt may
have masked promoting effects of
[Ca2+]cyt on
KD channel opening, we took advantage of the
resolution of single channel data to examine such effects separately on
the individual gating properties of the KD
channels. We tested the effect of
[Ca2+]cyt on the
classically defined steady-state properties of channel gating (the
half-maximum-activation voltage, the mean number of channels open at
saturation potentials, and the effective number of gating charges,
z [Eq. 4]; Hille, 1992 ). In addition, we examined the
properties of K+ permeation through the open
channel pore (the S and channel selectivity).

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Figure 2.
The effect of
[Ca2+]cyt on the average
activity of KD channels at 30 mV,
@-30. Different symbols (connected
by lines) denote data from different patches. A, Extensor cells. B,
Flexor cells. C, Average values of
@-30 obtained from n
patches at the indicated ranges of
[Ca2+]cyt
(±SE). F, Flexor; E, extensor.
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max ( at
saturation potentials) varied considerably from patch to patch, in both
cell types, much more than most of the other parameters (Fig.
3), resembling the same phenomenon
already noted in broad bean guard cells (Ilan et al., 1994 ). In
extensor cells, [Ca2+]cyt
did not have any significant effect on
max. In flexor cells, max was significantly smaller at
[Ca2+]cyt of 1 to 3 mM than at 5 to 67 nM (Fig.
3), and this conclusion holds even if the data from two flexor patches
with the most extreme values of max
at these low concentrations are ignored. Since max is a product of the total
number of channel proteins in the membrane (N), and the
voltage-independent probability of their opening
(fO; Ilan et al., 1996 ), either
N or fO (or both) could be
responsible for the
[Ca2+]cyt-induced
max decrease. However, N
and fO can be resolved only in very
prolonged recordings in saturation voltages, which was
impractical in our experiments. max,
averaged over the physiological [Ca2+]cyt of 20 to 600 nM, was approximately 11 in flexors,
significantly more than approximately 5, in extensors (Table
I). Since the flexors and extensors do
not differ in size (Moran et al., 1988 ) or in the values of whole-cell
steady-state current levels (not shown), they would be expected to have
the same KD channel density. Further work is
required to reconcile this with the observed difference in
max between the flexor and extensor
membrane patches.

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Figure 3.
The effect of
[Ca2+]cyt on the
max. Mean values of
max obtained from n
patches at the indicated ranges of
[Ca2+]cyt
(±SE). F, Flexor; E, extensor.
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Table I.
Steady-state properties of the Samanea
KD channels
Extensor and flexor cells compared at a physiological range of free
[Ca2+]cyt (20-600 nM).
Permeation properties (resulting from fit of Eq. 1 to the steady-state
unitary current-voltage relationship, as in "Materials and Methods"
and Fig. 1B). Gating properties (resulting from the fit of Eq. 4 to the
steady-state voltage dependence of channel opening, as in "Materials
and Methods" and Fig. 1C). Data are means ± SE (no.
of cells).
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The values of half-maximum-activation potential
(E1/2) varied only a little less than
max (Fig.
4). Nevertheless, at millimolar [Ca2+]cyt,
E1/2 in flexor cells was significantly
smaller than at 5 to 15 nM or at 600 nM (by approximately 40 and approximately 50 mV,
respectively). In extensors cells, E1/2 did
not seem to be affected (Fig. 4). Extensor and flexor cells did not
differ significantly in the overall mean values of
E1/2 at
[Ca2+]cyt of 20 to 600 nM, (24 and 14 mV, respectively; Table I).

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Figure 4.
The effect of
[Ca2+]cyt on the
E1/2. Mean values of
E1/2 obtained from n patches at
the indicated ranges of
[Ca2+]cyt
(±SE). F, Flexor; E, extensor.
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In contrast, the values of z varied very little among
patches of one cell type and they did not change with the
[Ca2+]cyt (Fig.
5). At the range of 20 to 600 nM, z was 1.9 in extensor cells and 1.2 in
flexor cells (Table I), indicating that, although in both cell types
the gating process involved the cross-membranal movement of at least
two electrical charges, the gating of extensor KD channels was slightly but significantly more
voltage sensitive than that of flexor KD
channels.

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Figure 5.
The effect of
[Ca2+]cyt on the
effective number of charges, z. Mean values of z
obtained from n patches at the indicated ranges of
[Ca2+]cyt
(±SE). F, Flexor; E, extensor.
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The Effect of [Ca2+]cyt on KD
Channel Selectivity and Conductance
The two cell types did not differ with respect to the mean values
of S (the unitary conductance) at any one of
the concentration ranges (Fig. 6).
At the range of physiological
[Ca2+]cyt of 20 to 600 nM, the mean S was approximately
20 pS (Table I). High
[Ca2+]cyt decreased
S slightly (by approximately 20%) in both
cell types (Fig. 6). Thus in extensor cells at
[Ca2+]cyt of 600 nM, S was smaller than at 150 to
190 nM, and in flexor cells at millimolar
[Ca2+]cyt,
S was smaller than at
[Ca2+]cyt 190 nM (P < 0.05). This decrease of
S could be due to open-channel block by
Ca2+ (e.g. Vergara and Latorre, 1983 ).

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Figure 6.
The effect of
[Ca2+]cyt on the
S. Mean values of S
obtained from n patches at the indicated ranges of
[Ca2+]cyt
(±SE). F, Flexor; E, extensor.
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The mean values of Erev (of the
iS), determined at five ranges of
[Ca2+]cyt in flexor
cells, were largely indistinguishable from the predicted
K+ Nernst potential
(EK) of 78 mM (Fig.
7). In extensor cells, a small though
significant deviation of 4 mV from EK could
be noted at the lower
[Ca2+]cyt (20-67
nM; Fig. 7). When averaged over the
physiological [Ca2+]cyt
range of 20 to 600 nM, the mean
Erev of extensor cells ( 75 mV), was also
significantly more positive than that of flexor cells (which was equal
to EK; see also Table I).

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Figure 7.
The effect of
[Ca2+]cyt on the
Erev of the unitary currents. Mean values
of Erev obtained from n patches
at the indicated ranges of
[Ca2+]cyt
(±SE). F, Flexor; E, extensor.
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Summary
KD channels in both cell types did not
require [Ca2+]cyt for
their activity. However, in flexor cells (but not in extensors), the
steady-state gating properties were affected by the higher [Ca2+]cyt. In addition to
the different sensitivity to cytosolic Ca2+,
flexors and extensors differed perceptibly in two more details: in the
steepness of their voltage dependence (z) and in their K+ selectivity.
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DISCUSSION |
Differentiation between Flexor and Extensor KD Channels
Based on Ca2+ Effects
No information exists, as yet, about the molecular identity of the
S. saman K+-efflux channels.
Therefore, their functional characterization in planta is needed to
provide the database against which such identification will ultimately
need to be tested. In particular, sensitivity to
Ca2+ may be a useful criterion for
revealing possible differences between S. saman
K+-efflux channels in the two cell types, and
between them and other Kout channels.
Contrary to extensor cells, a gating-promoting effect (a negative shift
of E1/2) was indeed resolved in flexor cells at millimolar
[Ca2+]cyt (Fig. 4).
This negative shift of E1/2 could be
theoretically attributed to non-specific screening of negative
surface charges at the internal side of the membrane by the roughly
thousand-fold increase of
[Ca2+]cyt. We deem it
unlikely, however, since, in addition to the high ionic strength of the
"internal" solutions, the maximum increase in total divalent ion
concentration in our experiments was less than 3-fold (2 mM Mg2+ was present in all
the "internal" solutions). Both the high ionic strength and the
small change in total divalent ion concentration would predict a
negligible E1/2 shift (Gilbert and
Ehrenstein, 1969 ; Kell and DeFelice, 1988 ).
A more likely explanation is a specific Ca2+
action, by binding. In lieu of any information about the molecular
identity of the KD channel, the target of
Ca2+ binding remains in the realm of speculation.
If we assume direct binding of Ca2+ to the flexor
KD channel, we need to assume also that this
channel has Ca2+ binding domains, such as the
"EF hands" in the Arabidopsis KCO1 channel (Czempinski et al.,
1997 ). We may assume alternatively that Ca2+
affects the channel indirectly, via other
Ca2+-activated proteins. Phosphorylation, for
example, has been shown to cause E1/2
shifts in voltage-dependent outward-rectifying K+
channels (Esguerra et al., 1994 ; Levitan, 1994 ). Furthermore, phosphorylation can occur even in fragmented membranes (for example, extensor KD channels were regulated by
phosphorylation in excised inside-out patches; Moran, 1996 ).
Difference in Selectivity between Flexor and Extensor
KD Channels
We were surprised to discover that the extensor
KD channels were less selective toward
K+ than flexor channels (Fig. 7; Table I). This
could be due, for example, to a partial permeability of the extensor
KD channels to Ca2+ ions.
For example, a departure of 4 mV from EK,
with [Ca2+]cyt of 20 nM, may be accounted for by a
Ca2+ permeability one-third (0.35) as large as
the permeability to K+ (Lewis, 1979 ). The
incomplete selectivity to K+ of the extensor
KD channel resembles, in fact, that of the
KD (Kout) channel in broad
bean guard cells (Ilan et al., 1994 ) and the Kout
channels of Arabidopsis mesophyll cells (Romano et al., 1998 ), where
Erev values were also several mV above
EK. Thus, although the
Kin channel in guard cells did not conduct
Ca2+ influx (Grabov and Blatt, 1998 , 1999 ),
this has not been excluded for the Kout channels
in other plant systems. There are also various weakly
Ca2+ permeant outward-rectifying K channels
in animal systems (e.g. Hille, 1992 ). A variety of mechanisms
could underlie this selectivity difference between flexor and
extensor KD channels, such as mutations, mRNA
editing or post-translational modifications, and this remains to be resolved.
For the S. saman motor system, the physiological implication
of such permeability to Ca2+ would be,
perhaps, the influx of Ca2+ through the
KD channels open during the extensors shrinking
phase, and enhancement of extensor shrinking via a positive feedback (activating more chloride channels, increasing depolarization, etc.).
This, in turn, would enhance leaflet folding.
Although differing in selectivity, KD channels of
both cell types were very similar in their unitary conductance (Fig.
6). To a first approximation, they were similar also in their kinetics (the latter was determined by fitting the activation and deactivation time courses of currents recorded in a whole-cell configuration with
single exponentials, at
[Ca2+]cyt of
approximately 150 nM; data not shown).
Physiological Relevance of Ca2+ Effects on
KD Channels
Since KD channels are essential to the
shrinking of S. saman motor cells and therefore, to pulvinar
movements (Moran et al., 1988 ), it could be expected that a significant
Ca2+ effect on KD channels
would be ultimately reflected in its effects on the movement of leaves.
The reported observations in leaf-moving trees related to S. saman (M. pudica, Albizzia lophanta, Cassia fasciculata, and Robinia pseudoaccacia) all support a
leaf-movement-enhancing role of Ca2+ (Campbell
and Thompson, 1977 ; Roblin and Fleurat-Lessard, 1984 ; Moysset and
Simon, 1989 ; Gomez and Simon, 1995 ). However, the overall effects of
Ca2+ on KD channels in our
experiments were either absent or minor. In fact,
Ca2+ did not appear to be essential at all for
the activity of the pulvinar KD channels,
resembling the reported insensitivity of their counterparts in the
guard cells. The promoting effect of the negative
E1/2 shift in flexors at the highest
concentrations of
[Ca2+]cyt (if such a
concentration could be reached in the vicinity of
KD channels) would be probably offset by the
decrease of S and of
max. Thus in whole shrinking
pulvinar cells in situ, KD channels are activated
either via a Ca2+-independent mode, or, if
[Ca2+]cyt is involved, an
additional soluble cytosolic factor (absent in our experiments) may be
required to mediate an activating action of Ca2+.
Moreover, at 600 nM in flexors, the apparent effect of
[Ca2+]cyt on the gating
of KD channel was a depression of activity: a small but significant decrease of
@-30 (relative to that at the lower
concentration of 5-15 nM). This effect on
@-30 was consistent with the
observation of rundown of pulvinar KD channels
caused by Ca2+ influx in a S. saman
close relative, M. pudica (Stoeckel and Takeda, 1995 ). Based
on our findings in S. saman, it might be expected that
increased cytosolic Ca2+ would decrease flexor
KD channel activity and consequently impede flexor cell shrinking and leaf unfolding. This prediction is in conflict with the reported enhancement of leaf movements by
Ca2+. Is it possible that
[Ca2+]cyt level during
flexor shrinking does not even reach the depressing concentration of
600 nM? This remains to be determined directly during the motor cell volume changes.
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MATERIALS AND METHODS |
Plant Material
Samanea saman (Jacq.) Merr. trees (recently
referred to also as Pithecellobium saman [Jacq.]
Benth.; Little and Wadsworth, 1964 ), were grown in a greenhouse under a
16-h-light/8-h-dark schedule; leaves were harvested and protoplasts
were isolated as described previously (Moran, 1996 ). The procedure for
protoplast isolation has been further modified to include an additional
rinse of the freshly chopped tissue pieces on a 20-µm mesh filter
with solution containing 0.1% (w/v) polyvinylpyrrolidone
to neutralize the possible effects of endogenous phenolics.
Patch-Clamp Experimental Procedure
Patch-clamp experiments were performed in a standard inside-out
configuration (Hamill et al., 1981 ; Moran, 1996 ). Patch-clamp pipettes
were prepared from borosilicate glass (catalog no. BF150-86-10, Sutter Instrument, Novato, CA) by a two-stage pull and fire polishing (both the micropipette puller and microforge were from Narashige [Tokyo]). The pipette was filled with an external solution. The bridge of the reference electrode was filled with an internal solution.
After establishing a tight seal with the cell membrane, the bath was
flushed with 10 volumes of the internal solution and the patch was
excised into an inside-out configuration. The Ca2+
concentration of the bath solution was changed by flushing at least 10 volumes of the new solution. The order of Ca2+
concentrations applied was varied to eliminate systematic error due to
possible time dependence (such as rundown or up-regulation). The
iS current was filtered at 20 Hz (the
3db cutoff frequency of a four-pole Bessel filter), and
digitized at a sampling rate of 50 Hz (Axon Instruments, Foster City,
CA). To simplify comparisons with published experiments performed in
different configurations, channel openings and current directed outward
(with respect to the membrane) are shown as positive upward deflections
from the closed-level (baseline) current. Likewise, in all of the
experiments presented here, depolarization means increasing (more
positive) potential at the cytoplasmic side.
The stimulation protocols were as follows. KD
channels were activated by depolarization, applied in the form of ramps
(Fig. 1A). The ramps were 40 s long and varied linearly with time
from 80 to +40 mV. Channel activity was assumed to have attained a steady state at each point during this slow rate of change of the
EM (3 mV s 1). Between the
depolarizations, the membrane was held for 20 s at a "resting"
or "holding" potential of 80 or 100 mV (cytoplasmic side
negative), at which KD channels were closed (Moran et al., 1988 ; Moran, 1996 ).
Analysis of Patch-Clamp Data
Determination of the Unitary Conductance and
Erev in Inside-Out Patches
The slow voltage ramps and the resulting linear current-voltage
(iS-EM)
relationships between the iS and the
EM served for the simultaneous determination
of the Erev, the unitary conductance and the
steady-state level of channel activity (Moran, 1996 ; Suh et al., 2000 ):
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(1)
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The Erev was obtained as the common
zero-current intercept of several linear regressions (fitted by eye) to
the different levels of open-channel current-voltage data points (Fig.
1B). S, the slope of the idealized
is-EM
relationship of the single channel, was obtained by averaging the
differences between the slopes of the linear regressions.
Characterization of Voltage-Dependent Gating in Single-Channel
Patches
The total average current through the channels in the patch,
IS, is the function of the average number of
open KD channels, , in the patch (Eq. 2):
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(2)
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where ILeak is the linearly
fitted baseline (leak current). -n at each
EM value was calculated by dividing
IS (after the subtraction of
ILeak), point by point, by the idealized
unitary open-channel current, iS (Fig. 1C).
Provided that the channels are identical and statistically independent
(Ehrenstein et al., 1970 ),
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(3)
|
where PO is the
voltage-dependent open probability of open channels.
The resulting steady-state
-EM relationship
(reflecting the
PO-EM
relationship) was then fitted with the Boltzmann relationship
|
(4)
|
These Boltzmann parameter values were obtained for each
treatment, 10 to 15 min after a change of solutions. The calculations and fit were performed on the data in the voltage range of 60 to +40
mV, using the commercially available program Origin (Microcal Software,
Northampton, MA).
Statistics
Each characteristic parameter of the KD channels
derived from single-channel data ( S,
Erev, E1/2, etc.)
initially was examined separately in each cell, at various
[Ca2+]cyt concentrations (Fig. 2, A and B).
We then grouped the data from all of the experiments in five
concentration ranges, 5 to 15 nM, 20 to 67 nM,
150 to 190 nM, 600 nM, and 1 to 3 mM, to compare mean values (Fig. 2C). However, when
comparing between flexor and extensor cells, we averaged the data from
one "physiological" range of 20 to 600 nM (Table I).
Whenever data were pooled together and averaged, a cell contributed no
more than once to each average (a single value, or a mean, if there
were more determinations than just one from a single patch in a given
concentration range). Means are presented with their SEs,
with n, the number of cells averaged. Differences
between means were deemed significant if, using a two-sided Student's
t test, P < 0.05.
Solutions
The regular extracellular solution contained 5 mM
K+, 9.5 mM MES, at pH 6.0, and 1 mM
CaCl2, and was adjusted with sorbitol to osmolarity of 700 mOsm. The cytoplasmic surface was exposed to "internal solution":
125 mM KCl, 20 mM HEPES, 1 mM MgATP
and 1 mM MgCl2 (or 1 K2ATP and 2 mM MgCl2), 2 mM
1,2-bis(2-aminophenoxy)ethane-N,N,N',N'-tetraacetic acid (BAPTA)-K4, and variable total CaCl2. The
desired concentrations of 600 nM free Ca2+,
were calculated using the following equation:
|
(5)
|
where CaT is the total concentration of
Ca2+, BT is the total
concentration of BAPTA, and kd is the
dissociation constant of BAPTA of 200 nM (in the presence
of 2 mM Mg and 0.1 M KCl; Pehtig et al., 1989 ).
One or 3 mM Ca2+ was prepared by addition of 1 or 3 mM Ca2+ in excess of 2 mM
BAPTA. The osmolarity of the "internal solution" was adjusted with
sorbitol to 750 mOsm. After addition of ATP and BABTA, the "internal
solution" was adjusted with N-methylglucamine to
pH 7.0 to 7.3 and used within a week of preparation. BAPTA was from
Molecular Probes (Eugene, OR) or from Sigma (St. Louis). Other
chemicals were from Sigma, Merck (Rahway, NJ), or BDH (AnalaR, Poole, UK).
 |
ACKNOWLEDGMENTS |
The authors are grateful to Dr. Stan Misler for helpful
discussions, and to Hadas Shavit and Ling Yu for help in the
preparation of protoplasts. Dr. Edna Schechtman's comments on the
statistics are gratefully appreciated. The authors wish to thank
Drs. Bernard Attali, Rainer Hedrich, Dirk Becker, Gerald Schoenknecht,
and Bernd Mueller-Roeber for comments on an earlier version of the manuscript.
 |
FOOTNOTES |
Received April 11, 2000; accepted June 29, 2000.
1
This work was supported by the
German-Israeli Foundation for Scientific Research and Development
(grant no. G 193-207.02/94 to N.M.) and by the United States-Israel
Binational Agricultural Research and Development Fund (grant no.
IS-2469-94CR to N.M.).
*
Corresponding author; e-mail morana{at}agri.huji.ac.il; fax
972-8-946-7763.
 |
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© 2001 American Society of Plant Physiologists
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