First published online April 3, 2003; 10.1104/pp.102.014548
Plant Physiol, May 2003, Vol. 132, pp. 282-291
Plant Movement. Submergence-Induced Petiole Elongation in
Rumex palustris Depends on Hyponastic
Growth1
Marjolein C.H.
Cox,*
Frank F.
Millenaar,
Yvonne E.M.
de Jong
van Berkel,
Anton J.M.
Peeters, and
Laurentius A.C.J.
Voesenek
Plant Ecophysiology, Utrecht University, Sorbonnelaan 16, 3584 CA
Utrecht, The Netherlands
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ABSTRACT |
The submergence-tolerant species Rumex palustris
(Sm.) responds to complete submergence by an increase in petiole angle
with the horizontal. This hyponastic growth, in combination with
stimulated elongation of the petiole, can bring the leaf tips above the
water surface, thus restoring gas exchange and enabling survival. Using a computerized digital camera set-up the kinetics of this hyponastic petiole movement and stimulated petiole elongation were studied. The
hyponastic growth is a relatively rapid process that starts after a lag
phase of 1.5 to 3 h and is completed after 6 to 7 h. The
kinetics of hyponastic growth depend on the initial angle of the
petiole at the time of submergence, a factor showing considerable seasonal variation. For example, lower petiole angles at the time of
submergence result in a shorter lag phase for hyponastic growth. This
dependency of the hyponastic growth kinetics can be mimicked by
experimentally manipulating the petiole angle at the time of submergence. Stimulated petiole elongation in response to complete submergence also shows kinetics that are dependent on the petiole angle
at the time of submergence, with lower initial petiole angles resulting
in a longer lag phase for petiole elongation. Angle manipulation
experiments show that stimulated petiole elongation can only start when
the petiole has reached an angle of 40° to 50°. The petiole can
reach this "critical angle" for stimulated petiole elongation by
the process of hyponastic growth. This research shows a functional
dependency of one response to submergence in R.
palustris (stimulated petiole elongation) on another
response (hyponastic petiole growth), because petiole elongation can
only contribute to the leaf reaching the water surface when the petiole has a more or less upright position.
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INTRODUCTION |
The semi-aquatic species Rumex
palustris (Sm.) occurs in flooding-prone parts of river
floodplains. It occupies a position on the submergence-tolerant side of
a gradient of Rumex spp., ranging from tolerant species such
as R. palustris and Rumex maritimus in
low, frequently flooded regions, to relatively intolerant species such
as Rumex acetosa and Rumex thyrsiflorus on
higher, rarely flooded sites (Blom et al., 1990 ). In
accordance with its location, the submergence-tolerant R. palustris possesses a range of adaptations to flooding (for
review, see Peeters et al., 2002 ) including stimulated petiole elongation (Voesenek and Blom, 1989 ;
Voesenek et al., 1993 ), the formation of aerenchymatous
adventitious roots (Visser et al., 1996 ), and a switch
to anaerobic metabolism (Nabben, 2001 ).
One of the first phenotypic modifications that occurs in completely
submerged R. palustris plants is an increase in
the angle of the younger petioles with the horizontal. This hyponastic
growth changes the orientation of these petioles from prostrate to
almost vertical, thus decreasing the distance between the leaf blade and the water surface (Voesenek and Blom, 1989 ;
Banga et al., 1997 ). During complete submergence of
R. palustris, hyponastic growth, in combination
with stimulated petiole elongation, can bring (part of) the leaf blade
above the water surface, given that the water table is not too high
(Voesenek and Blom, 1989 ). This combination of two
submergence-induced responses restores gas exchange between the
atmosphere and the leaf, thus contributing to increased survival upon
submergence (Voesenek et al., 1992 , 2003 ).
Previous research has shown that an increased concentration of the
gaseous plant hormone ethylene, which results from ethylene accumulation in the submerged shoots, induces petiole elongation and
hyponastic growth in submerged R. palustris
plants (Voesenek et al., 1989 ; Cox et al.,
2003 ). Gibberellins are also involved in submergence-induced
petiole elongation (Rijnders et al., 1997 ). The role of
plant hormones in hyponastic growth is currently under investigation.
Nastic responses are common in the plant kingdom and can be defined as
rapidly developing organ curvatures or changes in organ orientation
induced by developmental processes or (a)biotic environmental factors
(Palmer, 1985 ). Epinastic (downward) and hyponastic
(upward) curvatures are caused by differential growth, with more rapid growth on the adaxial and the abaxial side of the organ, respectively (Kang, 1979 ). Flooding-induced hyponastic growth
(Ranunculus repens and Caltha palustris
[Ridge, 1987 ]; Leontodon
taraxacoides [Grimoldi et al., 1999 ]; and
Paspalum dilatatum [Insausti et al., 2001 ]) and epinastic growth (tobacco [Nicotiana tabacum;
Kramer and Jackson, 1954 ]; sunflower [Helianthus
annuus; Kawase, 1974 ]; and tomato [Lycopersicon esculentum; Jackson and Campbell,
1975 ]) have been described for a number of plant species.
Hyponastic leaf movement has also been observed in reaction to a number
of other environmental factors, for example shading (Clúa
et al., 1996 ; Gautier et al., 1997 ;
Ballaré, 1999 ).
The kinetics of submergence-induced hyponastic growth and petiole
elongation in R. palustris have not been
described in much detail (see Banga et al., 1997 ). The
present work examines the kinetics of these two processes and the
possibility that there is an interaction between hyponastic growth and
petiole elongation. We hypothesize that hyponastic growth is a
prerequisite for the onset of stimulated petiole elongation in
submerged R. palustris plants. Because
R. palustris is a rosette plant, its leaves have a rather horizontal orientation. If elongation in response to submergence were to occur in these prostrate petioles, it would not
serve to bring the leaf tip above the water surface. Stimulated petiole
elongation would only be useful when the leaves have reached a more
upright orientation by the process of hyponastic growth. Our objectives
for the present study were to determine (a) the kinetics of hyponastic
growth and stimulated petiole elongation, (b) whether hyponastic growth
is necessary for the onset of stimulated petiole elongation, and (c)
the petiole angle at which stimulated petiole elongation takes place.
To measure hyponastic growth and stimulated elongation of an individual
petiole of a R. palustris plant, a computerized
digital camera set-up was designed. This system provides time lapse
images, which allow monitoring of growth responses of individual plants in time, in a noninvasive manner, with high accuracy and time resolution.
Using this camera set-up, we showed that the kinetics of both
hyponastic growth and petiole elongation were dependent on the petiole
angle at the start of submergence. Furthermore, a functional interaction between hyponastic growth and stimulated petiole elongation in submerged R. palustris petioles is discussed.
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RESULTS |
The Kinetics of Hyponastic Growth Depend on the Initial Petiole
Angle at the Time of Submergence
Figure 1 shows a typical example of
the hyponastic growth of a submerged R. palustris
plant. After 6 h of submergence the leaves showed a more upright
position compared with the start of submergence.

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Figure 1.
Typical example of the hyponastic growth of a
R. palustris plant (27 d old) that has been
submerged for 6 h (B) compared with the same plant at the start of
submergence (A).
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Throughout the course of 1 year a number of replicate experiments were
carried out to determine the kinetics of hyponastic growth of submerged
R. palustris plants (Fig.
2). Submergence caused a strong increase
in petiole angle compared with a slight decrease in petiole angle of
plants exposed to air. A maximal angle of 70° to 80° was reached
after approximately 6 h. Furthermore, Figure 2 shows that the
petiole angle at the start of the submergence treatment varied
considerably between experiments, with higher initial angles in
northern hemisphere spring and summer, and lower initial angles in
autumn and winter. Interestingly, the kinetics of hyponastic
growth varied with these differences in the angle of the petiole at the
start of submergence (Fig. 2).

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Figure 2.
Hyponastic growth kinetics of submerged
R. palustris plants (27 d old) that displayed
natural variation in initial petiole angle at the time of submergence.
Plots represent the angle of the third petiole (four replicate plants)
during 16 h of complete submergence, for several batches of plants
grown during the course of 1 year. Dates of the individual experiments
are listed in the graph (day/month/year). A typical control plot (eight
replicate plants) is shown. Mean SE never
exceeded 6%.
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The dependency of the hyponastic growth kinetics on the initial petiole
angle at the time of submergence was further explored by manipulating
petiole angles before submergence. This manipulation also resulted in a
dependency of the hyponastic growth kinetics on the orientation of the
petiole at the start of submergence (Fig.
3A). A logistic function, giving a number
of parameters describing the hyponastic growth kinetics, was fitted for
the individual plants from Figures 2 and 3A. Mean values for these parameters are shown in Table I (the
results of this fit for Figs. 2 and 3A were pooled, because they were
statistically similar). An initial petiole angle lower than 50°
resulted in a shorter lag phase for hyponastic growth than an initial
petiole angle higher than 50° (P < 0.05; Table I).
This positive dependency of the lag phase of hyponastic growth on the
initial petiole angle is also shown in Figure
4A (P < 0.001). Plants
with an initial angle of 30° had a lag phase of approximately
1.5 h, whereas this lag phase was almost doubled in plants with an
initial angle of 70° (Fig. 4A). Hyponastic growth was finished after
6 h, independent of the initial petiole angle (Table I). However,
plants with an initial petiole angle lower than 50° reached a
slightly lower final angle compared with plants with an initial petiole
angle higher than 50° (P < 0.01, Table I). Curves
for plants with a lower initial angle reached their point of inflection
(X0) earlier than plants with a higher initial angle (P < 0.05), whereas the factor determining the steepness of the curve
(p) did not depend on the initial angle of the petiole
(Table I).

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Figure 3.
Kinetics of hyponastic growth (A) and petiole
length increase (B) of the third petiole of submerged R. palustris plants (27 d old) manipulated to achieve initial
petiole angles of 30°, 40°, 50°, 60°, or 70° at the time of
submergence, or non-manipulated plants. Plots are means of three
replicate plants ("no manipulation": nine replicate plants).
Typical control plots (eight replicates) for non-manipulated plants are
shown. Mean SE never exceeded 3% for the angle
data and 27% for the length data.
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Table I.
Kinetics of hyponastic growth and petiole elongation
of submerged R. palustris plants
Means (SE between brackets) of parameters describing the
kinetics of hyponastic growth and petiole elongation, obtained by
fitting the individual replicates of the data presented in Figures 2
and 3 using a logistic function. X0 represents the point of inflection,
and p is a factor determining the shape and steepness of the
curve. Means with different letters are significantly different
(P < 0.05). Number of replicate plants: 42 to 46 for
initial petiole angle lower than 50° and 8 to 16 for initial petiole
angle higher than 50°.
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Figure 4.
Regression plots for the lag phase of (A)
hyponastic growth (P < 0.001) and petiole elongation
(B; P < 0.001), against the initial angle of the
petiole. Lag phases were determined for all individual replicates of
the data presented in Figure 2 and 3. r2
values were 0.229 for A and 0.439 for B.
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The Kinetics of Submergence-Induced Petiole Elongation
Depend on the Initial Petiole Angle at the Time of Submergence
Submergence-induced elongation of petioles with manipulated
initial angles is shown in Figure 3B. The kinetics of stimulated petiole elongation also depended on the initial petiole angle. The
parameters describing the elongation response are presented in Table I
(means of individual plants from Fig. 2; elongation data not shown; and
Fig. 3B). The lag phase of elongation for petioles with an initial
angle lower than 50° was longer (P < 0.01) than for
initial angles higher than 50° (Table I). Figure 4B shows this
negative correlation (P < 0.001) between the lag phase
of petiole elongation and the initial petiole angle. Low initial angles
resulted in almost a 3-fold longer lag phase of petiole elongation than
high initial angles (Fig. 4B). The fitted value for the maximum length
increase was 3 mm, independent of the initial angle (Table I).
Curves for lower initial angles had their point of inflection (X0)
earlier (P < 0.01) and had a higher value for the
factor determining the steepness of the slope (P < 0.01) compared with curves for higher initial angles (Table I).
A Petiole Angle of 40° to 50° Is Required for the Onset of
Stimulated Petiole Elongation
The petiole angle at which stimulated elongation of the same
petiole starts was calculated using Equation 1 ("Materials and Methods"). For each individual plant from Figures 2 and 3, "time" in the fit obtained for the hyponastic growth was substituted with the
length of the lag phase of petiole elongation. Figure 5 shows this calculated angle at which
stimulated elongation starts, plotted against the initial angle. Points
on the line of unity represent plants where elongation of the petiole
took place without a change in petiole angle. Data points above the
unity line indicate plants in which an upward movement of the petiole
(hyponastic growth) was required for the onset of stimulated petiole
elongation. Figure 5 shows that in plants with an initial petiole angle
lower than 40° to 50°, hyponasty was necessary for petiole
elongation to start. However, plants with an initial petiole angle
higher than 40° to 50° did not need upward leaf movement for the
onset of petiole elongation.

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Figure 5.
Angle of the third petiole of submerged
R. palustris plants at which elongation of this
petiole starts, plotted against the initial petiole angle at the time
of submergence. Each data point represents an individual replicate of
the measured data shown in Figures 2 and 3, calculated using Equation 1
in "Materials and Methods."
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Figure 6A shows the effect of fixing the
petiole in its initial position (30°) at the onset of submergence.
During 6 h of fixation the elongation of fixed submerged petioles
was slower compared with the stimulated petiole elongation observed in
submerged plants of which the petiole is not fixed (Fig. 3B). After
release of the fixation, stimulated petiole elongation started within 0.6 h (SE, 0.3 h), which corresponded to the time
needed for the petiole angle to increase from 30° to 60° (Fig. 6A).
Manipulation of the petiole angle to 80° at the time of submergence
(Fig. 6B) resulted in a stimulation of petiole elongation with a lag
phase of 1.9 h (SE, 0.2 h). The petiole angle of
submerged plants stayed at 80° after the manipulation, whereas
that of control plants gradually decreased (Fig. 6B). Additionally,
downward movement of the leaf blade of control plants was observed
(data not shown). In this experiment, petioles of control plants
increased more in length during the first hours than control plants of
which the petiole angle was not manipulated (Fig. 3B). This faster
elongation of the control plants was probably caused by differential
growth resulting in the downward movement of the leaf blade, with the adaxial surface (which is the surface along which the length
measurement was taken) elongating faster than the abaxial
surface.

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Figure 6.
Kinetics of hyponastic growth (circles) and
petiole length increase (triangles) of the third petiole of
R. palustris plants (27 d old), which was fixed
at the initial position (30°) for 6 h, after which the fixation
was released (dashed line) (A) and manipulated to 80° at the start of
the experiment (B). Black symbols represent submerged plants (eight
replicate plants); white symbols represent control plants (seven
replicate plants for A; six replicate plants for B). Lag phases for the
start of petiole elongation were 6.6 h (SE,
0.3 h) for A, and 1.9 h (SE, 0.2 h) for B. Mean SE never exceeded 10% for the
angle data and 58% for the length data.
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The stimulated elongation of submerged petioles with a manipulated
start angle of 80° (Fig. 6B) could be decreased by reorienting the
petiole back to an angle lower than 40° to 50°. Additionally, petiole elongation increased again when the petiole was restored to the
original angle of 80° after this downward reorientation (data not shown).
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DISCUSSION |
The kinetics of hyponastic leaf movement and stimulated petiole
elongation of individual submerged R. palustris
plants could be monitored accurately using the computerized digital
camera set-up presented in this paper. Due to the small time interval (10 min) at which photos were taken, it was possible to follow these
two growth processes carefully in time. This provided detailed information about the kinetics of the two processes and their interaction.
Hyponastic Growth
R. palustris responds to complete submergence by
changing the angle of its petioles to a more upright position (Figs. 2
and 3A). This hyponastic growth is relatively fast, with a lag phase of
1.5 to 3 h (depending on the initial petiole angle; Fig. 4A). This
lag phase of several hours before the onset of hyponastic growth
indicates that the angle change does not result from buoyancy. Immediately upon submergence the leaves did show an increase in angle
of approximately 10° as a result of buoyancy. This effect is not
shown. After 6 h of submergence, the petiole has reached its final
angle of 70° to 80° (Table I). This angle change decreases the
distance to the water surface and puts the petiole in a position in
which stimulated petiole elongation can emerge the leaf tip and restore
gas exchange (Voesenek and Blom, 1989 ; Banga et
al., 1997 ).
Partial submergence induced an increase in leaf angle within 24 h
in L. taraxacoides (Grimoldi et al.,
1999 ), and this response was the main factor causing the leaves
to reach the water surface. However, in contrast to R. palustris, L. taraxacoides did not survive complete submergence, nor did it show increased petiole elongation during either complete or partial submergence. Hyponastic growth in response to flooding has also been observed for P. dilatatum (Insausti et al., 2001 ). In this
grass species a more upright orientation of tillers was associated with
the development of longer leaves and stems, which restored contact with
the atmosphere (Insausti et al., 2001 ). A number of
other species show epinastic growth (downward leaf movement) in
response to flooded conditions. This phenomenon has, among others, been
described for waterlogged sunflower (Kawase, 1974 ),
tobacco (Kramer and Jackson, 1954 ) and tomato
(Jackson and Campbell, 1975 ). In these species,
epinastic growth is assumed to ameliorate the dehydrating effect of a
drop in hydraulic conductance of flooded roots (Jackson,
2002 ).
In this study, petiole angle varied during the year, with high petiole
angles in northern hemisphere spring and summer and lower angles in
autumn and winter (Fig. 2). The angle with respect to the gravity
vector that an organ maintains as a consequence of gravitropism has
been termed the gravitropic set-point angle (GSA). For each plant
organ, this GSA is determined by its developmental stage and by
environmental conditions (Digby and Firn, 1995 ). The
variation in start petiole angle observed here did not result from
changes in environmental conditions or developmental stage of the plant
during the year because these were kept constant. Neither was the
variation the result of the use of different seed batches. In a recent
study, Edelmann et al. (2002) reported variation in
coleoptile GSA of dark-grown rye seedlings that differed from sowing to
sowing. This variation was caused by a difference in the height of the
vermiculite layer covering the germinating seedlings in the different
sowing events, with ethylene playing an important role (Edelmann
et al., 2002 ). It seems unlikely that a similar effect can
explain the difference in start petiole angles of R. palustris plants because seeds were germinated on beads
floating on water and were transplanted to the soil after 10 d.
Additionally, the difference in leaf angle between batches was observed
after a much longer time span (27 d), compared with the differences in
the study on the rye seedlings that were present after 3 d (Edelmann et al., 2002 ). Instead, the higher petiole
angles observed for R. palustris in spring and
summer and lower angles in autumn and winter (Fig. 2) suggest an annual
rhythm in the GSA of R. palustris petioles, which
is noticeable even though the plants are grown in controlled
environmental conditions.
Interestingly, we observed that varying initial petiole angles at the
time of submergence resulted in differences in the kinetics of
hyponastic growth (Figs. 2 and 3A). Hyponastic growth of petioles with
a higher initial angle was initiated later, had a later point of
inflection (X0), and reached a higher final angle than control petioles. The time at which the maximum angle was reached and the
factor determining the steepness of the curve were similar for high and
low initial angles (Table I). That the initial angle of the petiole
determines the kinetics of hyponastic growth is an important factor to
take into account when comparing the kinetics of hyponastic growth
between different treatments (for example hormone applications or
hormone biosynthesis/transport inhibitors) that could influence the
initial petiole angle. Myers et al. (1995) measured
gravitropically induced growth rate changes of the upper and lower
surfaces of sunflower hypocotyls gravistimulated at a number of angles
from the vertical. In contrast to the present study, they observed no
influence of the displacement angle on the kinetics of the gravitropic
response. They did show that the period of maximal differential growth
was shorter at small displacement angles and longer at greater
displacement angles (Myers et al., 1995 ). However,
comparison of the kinetics of the gravitropic response by Myers
et al. (1995) was only performed on a visual basis. Closer
examination of the data presented in their study using the fitting
method described here could very well reveal differences in the
kinetics of the angle response.
Stimulated Petiole Elongation
The advantage gained by changing the petiole position upon
submergence is enhanced by an acceleration of petiole elongation (Fig.
3B). Together, these two responses enable the leaf to act as a snorkel
to facilitate gas exchange when reaching the water surface, thereby
enhancing the rate of photosynthesis (Voesenek and Blom,
1999 ). In this study, the maximum fitted petiole elongation was
3 mm, independent of the start angle. Although this length increase is
relatively small, one has to take into consideration that for practical
reasons, the plants used in this study were relatively young (27 d
old). It has been shown previously that older R. palustris plants submerged for a longer time period than the
16 h described in this study can achieve a much greater increase in petiole length (Voesenek and Blom, 1989 ).
Although the maximum fitted petiole elongation was independent of the
initial petiole angle, other parameters describing the kinetics of
petiole elongation did depend on the initial angle. Lower initial
angles resulted in a longer lag phase, a steeper slope and an earlier
point of inflection compared with higher initial angles (Table I).
Stimulated petiole elongation in response to complete submergence has
been described for a number of species (for review, see Ridge,
1987 ; Voesenek and Blom, 1999 ). In all of these
species, this process serves to reach the water surface and restore gas
exchange, as it does in R. palustris.
A Petiole Angle of 40° to 50° Is Necessary for the Onset of
Stimulated Petiole Elongation
The digital camera set-up allows study of both hyponastic growth
and stimulated petiole elongation of the same petiole of a submerged
R. palustris plant. This simultaneous study of
two responses induced by submergence led to the discovery that the onset and kinetics of stimulated petiole elongation depend on the
petiole angle of the plant. It seems that there is a "critical" petiole angle that has to be reached before stimulated petiole elongation can take place. From Figure 5, it can be deduced that this
"critical" angle is between 40° to 50°. When the initial petiole angle of a plant is lower than this threshold value, stimulated petiole elongation only starts to take place when the threshold of
40° to 50° has been reached. The petiole can achieve this change in
angle through the process of hyponastic petiole movement. When the
initial angle of the petiole is higher than the threshold value of
40° to 50°, no angle change is required for the onset of stimulated
petiole elongation, because the threshold value is already met.
Additional proof for the existence of such a threshold angle for the
onset of stimulated petiole elongation is given in Figure 6A. The
petiole was fixed at its initial position (30°), which is below the
threshold angle. During this fixation, there was hardly any increase in
elongation rate of the petiole. After release of the fixation,
stimulated elongation started when the petiole had overcome the
threshold value of 40° to 50° (0.6 h after the release of the angle fixation).
The reverse experiment (Fig. 6B; initial petiole angle at the time of
submergence at 80°) shows that stimulated petiole elongation takes
place when the angle at the time of submergence is 80°. When the
petiole is manipulated back to its start position after an initial
orientation at 80° for a number of hours, the stimulated elongation
of the petiole caused by this upright position is slowed down.
Stimulated petiole elongation is resumed when the petiole is placed
back at an angle of 80° with the horizontal (data not shown). This
shows that the dependency of petiole elongation on the threshold
petiole angle (40°-50°) is a reversible process, with stimulated
elongation being switched "on" and "off" depending on the angle
of the petiole.
In the experiment described in Figure 6B (initial petiole angle at the
time of submergence at 80°), no lag phase for elongation would be
expected if the threshold value for petiole angle was the only
parameter that had to be met for the onset of petiole elongation.
However, the lag phase for petiole elongation was still 1.9 h
(Fig. 6B), indicating that there is another signal required for the
onset of stimulated petiole elongation. Another indication for this can
be found in Figure 4B, which shows that plants that start with a
petiole angle above the threshold value still show a lag phase of
petiole elongation of 1 to 1.5 h. Previous studies on leaf
elongation in submerged R. palustris plants found a lag phase similar to the "basal" lag phase observed in this study
(Voesenek et al., 1993 ; Banga et al.,
1997 ). In these earlier studies, elongation was measured over
the whole leaf (petiole + leaf blade) using linear variable
displacement transducers, a technique in which the leaf has to be
placed in a vertical position to enable measurements. This vertical
placement means that the threshold angle signal is reached in these
leaves at the start of submergence. That these leaves show a similar
basal lag phase for elongation of approximately 1 to 1.5 h
resembles closely the situation in Figure 6B and supports the data
presented in this study. The basal lag phase, observed in this and
earlier studies, probably represents the time needed for the
submergence signal to be perceived and translated into a signal
transduction pathway leading to stimulation of petiole elongation. The
signal that induces petiole elongation in submerged R. palustris plants is the gaseous plant hormone ethylene,
which accumulates in the plant during submergence (Voesenek and
Blom, 1999 ). In addition to ethylene, gibberellins are involved
in this process (for review, see Peeters et al., 2002 ;
Voesenek et al., 2003 ).
Using the digital camera set-up we have revealed a fine-tuned
interaction between two responses that enable a plant to deal with
complete submergence. To our knowledge, not many studies have described
such interactions. The shade-avoidance process (for review, see
Smith, 2000 ) constitutes enhanced petiole elongation and
hyponasty. A detailed kinetic study could very well reveal an
interaction between these two processes similar to that found in this
study. Palmer (1964) described two growth processes in response to horizontal orientation of sunflower plants: petiole epinasty and an inhibition of extension growth of the internodes. Epinasty appeared to be directly linked to the horizontal stimulus, whereas growth inhibition reached its maximum 24 to 48 h after the
application of the stimulus (Palmer, 1964 ). However, the
interaction between these two growth processes was not studied.
A Model for Interaction between Submergence-Induced Hyponastic
Growth and Petiole Elongation
Given that the start of petiole elongation depends on two signals
(threshold petiole angle and a basal lag phase for perception and
transduction of the submergence signal), a model for the interaction between submergence-induced hyponastic growth and stimulated petiole elongation in R. palustris petioles can be
designed (Fig. 7). This model is based on
the use of Boolean language, which is a digital (numeric) formalism
that allows an accurate, qualitative description of signal transduction
processes (Genoud and Métraux, 1999 ; Genoud
et al., 2001 ). The Boolean language translates signaling elements into binary state elements, which have an "on" (1) and "off" (0) state. Boolean operators can combine the input signals from a number of these signaling elements into a certain output signal.
An advantage of using the Boolean system is that the physiological nature of the signals between signaling elements or the number of steps
involved does not have to be known. This makes it a useful system to
describe the interaction between hyponastic growth and petiole
elongation presented in this paper. For this interaction, we know which
elements have to be met to achieve petiole elongation, but we do not
yet have extensive information on the nature of the interactions, e.g.
stimulation or inhibition. Using the Boolean system, the model in
Figure 7 represents the following interaction between hyponastic growth
and petiole elongation: Stimulated petiole elongation in response to
complete submergence starts when two input conditions have been met: a
submergence signal and a threshold value of the petiole angle of 40°
to 50°. Hyponastic growth is the process that increases the angle of
the petiole during submergence (as long as the petiole angle is lower
than 80°), so that eventually the threshold value for the petiole
angle is met, and petiole elongation can start (Fig. 7).

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Figure 7.
Boolean model describing the interaction
between submergence-induced hyponastic growth and stimulated petiole
elongation in R. palustris petioles. The AND
operators in the model indicate that both input conditions have to be
met to generate the output.
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MATERIALS AND METHODS |
Plant Material and Growth Conditions
Seeds of Rumex palustris (Sm.) were germinated on
black polyethylene beads (Elf Atochem, Marseille, France)
floating on tap water in a transparent container for 10 d (12 h of
light, 25°C, 70 µmol m 2 s 1 photon flux
density, and 12 h of dark, 10°C). Germinated seedlings were
singly transplanted to plastic pots (70 mL) containing a mixture of
potting soil and sand (2:1, v/v), enriched with 0.14 mg of MgOCaO per
pot. Before seedling transfer, each pot was saturated with 20 mL of
nutrient solution containing: 7.50 mM
(NH4)2SO4, 15.00 mM
KH2PO4, 15.00 mM KNO3,
86.35 µM Fe-EDTA, 4.27 µM
MnSO4, 1.81 µM ZnSO4, 0.32 µM CuSO4, 42.67 µM
H3BO3, and 0.53 µM
Na2MoO4. All chemicals were pro analysi
grade, obtained from Merck (Darmstadt, Germany). Plants were grown for
17 d in a growth chamber (20°C; 70% relative humidity, 16 h of light; 200 µmol m 2 s 1 photon flux
density). Pots with seedlings were kept in a glass-covered tray for
2 d after transplantation, after which they were transferred to
irrigation mats (Brinkman Agro BV, S-Gravenzande, The
Netherlands) in the same growth chamber. The mats were automatically
watered with tap water to saturation twice a day, and the excess water was drained.
In all experiments, the third petiole of plants that were 27 d old
was studied. It has been shown that at this developmental stage, the
third petiole exhibits clear elongation and hyponastic growth
(Banga et al., 1997 ). Replicate plants were selected on homogeneity of developmental stage and length of the third petiole.
Computerized Digital Camera Set-Up
To measure length and angle of the third petiole of intact
R. palustris plants during treatment, a
computerized digital camera set-up (developed in house) was built into
a growth cabinet. Growth conditions were the same as in the growth
chamber where the plants were grown. The set-up consisted of a digital
camera (Fujix DS-330, FujiPhoto Film, Tokyo) that could move along an
axis in front of a row of cuvettes containing plants, a IF-D3 interface
kit and a EU-D3/DsA extension unit (FujiPhoto Film). A personal
computer equipped with software developed in the Labview v5.1 software package (National Instruments, Woerden, The Netherlands) controlled movement of the camera along the axis (400,000 steps over 1.4 m),
the interval at which photos were taken at a certain position, and the
camera settings. In all experiments described, individual plants were
photographed every 10 min during 16 h of treatment (in continuous
light to enable the camera to take photos).
Submergence Treatment
The day before the experiment plants were placed in the camera
set-up to acclimatize. Plants were placed singly in open glass cuvettes
(18.5 × 24.5 × 25.5 cm) in the camera set-up with the third
petiole perpendicular to the axis of the camera. To facilitate measurement, the top layer of soil and part of the front of the pot
were removed so that the petiole base was visible. The cotyledons were
also removed if they were blocking the petiole base. Additionally, the
third petiole was marked with drawing ink (four marks at even intervals
from the petiole base to the petiole apex). A calibration object with
known dimensions was placed in the soil in the same plane as the third
petiole. These preparations did not influence the response of the third
petiole to submergence (data not shown). All experiments started
between 8 and 10 AM when the plants were 27 d old. To
achieve submergence, tap water (20°C) was gently pumped into the
cuvette until a water depth of 20 cm (from the soil surface) was
reached. Control plants rested on a moist irrigation mat in the cuvette.
Angle Manipulation Treatment
Experiments in which the angle of the third petiole was
manipulated took place in open glass cuvettes (15.0 × 17.5 × 29.0 cm) fitted with a metal ring in which the pots could be placed. This ring could be turned to achieve any given angle of the petiole with the horizontal at the start of the experiment. During the treatment, the petiole was able to move freely.
To fix the third petiole in its initial position, a mesh cap (mesh
width 0.6 × 0.6 cm) was placed over the petiole and leaf blade
1 d before the experiment started. The cap restricted upward movement of the third leaf in response to submergence without restricting petiole elongation. The petiole was fixed in its initial position during the first 6 h of the treatment. After that, the cap was carefully removed, and the petiole was allowed to move freely.
Preparation and submergence of the plants took place as described above.
Image Analysis
Angle and length of the third petiole were measured on the
photos (1,280 × 1,000 pixels) using a PC-based image analysis
system with a macro developed in-house in the KS400 v3.0 software
package (Carl Zeiss Vision, Jena, Germany). Petiole angle was
determined as the angle between the horizontal and the adaxial surface
of the petiole between the apical mark and the second basal mark. Total
petiole length was measured as the distance between the highest point
of the basal mark and the highest point of the apical mark following
the adaxial surface. For all time points, the increase in petiole
length compared with the start of the treatment (t = 0) was
calculated. A series of photos from one plant was geometrically calibrated using the calibration object in five random photos.
Data Fitting
To describe the kinetics of hyponastic growth or petiole
elongation (Y), the measured data of individual plants were fitted using a logistic function:
|
(1)
|
where A1 is the begin value, A2 is the end value, X0 is the
point of inflection, and p is the factor determining
shape and steepness of the curve.
Fitting was performed by minimizing the sum of squares of the
difference between the measured and the predicted data using the solver
function (standard settings) in Microsoft Excel 2000 (Microsoft,
Redmond, WA). Figure 8A shows an example
of the fit on the measured petiole angles of one representative plant.
The parameters A1, A2, and X0, which describe the logistic function, are shown. The factor p determines the shape and
steepness of the curve. Changing p alone results in
variation in the range of values of "time" (from Eq. 1) over which
the major change in response is found (Weyers et al.,
1987 ). The petiole elongation data were fitted in a similar
fashion.

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Figure 8.
A, Representative example of the logistic fit
(solid line) used to describe the measured petiole angle data (round
symbols), and the parameters describing the logistic function (A1,
begin value; A2, end value; and X0, point of inflection); B,
determination of the lag phase (Xlag) of hyponastic growth using two
linear lines (Y1 and Y2) fitted through the subset of measured data
below X0, in such a way that the point of discontinuity is equal to the
interception of the two lines. Y1 = a + b*x (If x < Xlag), Y2 = (a + b*Xlag) + d*(x Xlag) (If x > Xlag).
|
|
The X0 value obtained from this fit was used to divide the measured
data into two subsets. First, the subset of data below X0 was used to
determine the lag phase of the start of hyponastic growth or that of
stimulated petiole elongation. Second, the subset of data above X0 was
used to determine the time at which hyponastic growth was completed.
Determination of the lag phase (Xlag) took place by fitting two linear
lines (Y1 and Y2) through a subset of measured data in such a way that
the point of discontinuity is equal to the interception of the two
lines:
|
(2)
|
|
(3)
|
A value for Xlag was obtained by minimizing the sum of squares
of the difference between the measured and the predicted data, using
the solver function (standard settings) in Microsoft Excel 2000. Figure
8B shows a representative example of the determination of the
hyponastic growth lag phase using the fitted point of interception for
the two lines (Y1 and Y2). The lag phase for stimulated petiole elongation was determined in the same way. The end of the hyponastic growth was determined in a similar fashion on the measured angle data
above X0.
Statistical Analysis
Table I presents the parameters describing the kinetics of
hyponastic growth and petiole elongation for an initial petiole angle
of 30° to 50° and for an initial petiole angle of 51° to 70°.
The data were divided into these two groups based on the fact that the
threshold petiole angle for the onset of petiole elongation was shown
to be approximately 50° (Fig. 5). To compare the means of the
parameters, an independent samples t test was performed
using the program SPSS v10 (SPSS Inc., Chicago).
 |
ACKNOWLEDGMENTS |
We thank Dr. M. Terlou (Image Analysis Department, Faculty of
Biology, Utrecht University) for developing the image analysis macro
and R.G.C. van Trigt (Faculty of Pharmacy, Utrecht University) and
W.H.C. Huibers (Plant Ecophysiology, Utrecht University) for designing
the computerized digital camera set-up. R.A.M. Welschen and G. van der
Heijden are thanked for technical assistance, and M.P. McDonald for
critically reading the manuscript.
 |
FOOTNOTES |
Received September 19, 2002; returned for revision December 5, 2002; accepted January 28, 2003.
1
This work was supported by the Dutch Science
Foundation (PIONIER grant no. 800.84.470).
*
Corresponding author; e-mail M.C.H.Cox{at}bio.uu.nl; fax
31-30-2518366.
Article, publication date, and citation information can be found at
www.plantphysiol.org/cgi/doi/10.1104/pp.102.014548.
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