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The Journal of Neuroscience, July 1, 2002, 22(13):5265-5270
BRIEF COMMUNICATION
Spatial Transformations in the Withdrawal Response of the Tail in
Intact and Spinalized Rats
Corey L.
Cleland and
Ross E.
Bauer
Department of Biology, James Madison University, Harrisonburg,
Virginia 22807
 |
ABSTRACT |
Previous studies of spatial transformations between sensory input
and motor output in escape responses have suggested two alternative
patterns of spatial integration. The continuous pattern corresponds to
withdrawal movements directed 180° away from the location of the
stimulus, whereas the categorical pattern corresponds to movements that
are biased toward a limited number of preferred directions. The goal of
these experiments was to determine which pattern best describes the
tail withdrawal response in spinalized and intact rats by applying
pinpoint heat stimuli at eight points distributed circumferentially
around the tail and measuring the direction and speed of the resulting
withdrawal response. Our results are consistent with a novel, hybrid
continuous-categorical movement strategy. In the spinalized animal,
responses were primarily away from the stimulus (the continuous
component) but exhibited a pronounced ventral bias (the categorical
component). In addition, stimuli delivered to the ventral surface,
which would be expected to evoke a dorsally directed response (opposite
to the preferred ventral direction), instead evoked responses that were
markedly variable and clustered in the left and right directions.
Intact rats showed a similar pattern of response, except reversed; the bias was in the dorsal direction, and the response to dorsal
stimulation was now highly variable and lateral in direction. These
results reveal a complex tail withdrawal strategy that is modulated by descending supraspinal pathways to adapt the response to the
biomechanical and environmental constraints imposed on movement of the
rat tail.
Key words:
spinal; reflex; pain; nociception; thermal; flexion
 |
INTRODUCTION |
Movement
requires that the CNS transform sensory information into
spatially and temporally coordinated activation of muscles (Bizzi et
al., 1991
). In mammals, the large number of degrees of freedom
represented by the hundreds of muscles and joints represent a
significant computational burden for the production of accurate, short-latency responses to sensory information (Bernstein, 1967
; Saltzman, 1979
). Because simple reflexes can display significant spatial complexity but are more experimentally tractable, they offer an
ideal model for investigating spatial transformations. In particular,
the withdrawal reflex, in which a tissue-damaging or potentially
tissue-damaging sensory stimulus evokes a withdrawal response, is a
spinal reflex that exhibits complex spatial integration, thus providing
an appropriate model to elucidate general principles of spatial
sensorimotor transformations (Sherrington, 1910
; Krasne and Wine, 1984
;
Eaton and Emberley, 1991
; Norekian and Satterlie, 1996
; Lewis and
Kristan, 1999
).
Previous studies of escape and withdrawal responses suggested two
alternative patterns of spatial integration (Lewis and Kristan, 1999
).
The continuous pattern corresponds to withdrawal movements that are
directed 180° away from the location of the stimulus. In contrast,
the categorical pattern corresponds to movement that is biased toward a
limited number of preferred directions. For example, the early
suggestion of Sherrington (1910)
that stimuli applied anywhere to the
leg evoke identical flexion responses would be an example of a
categorical pattern with one category. However, his recognition that
the pattern of response varied somewhat with stimulus location, known
as "local sign", is consistent with a continuous pattern. In
mammals there is conflicting evidence for the two alternative patterns.
Both Sherrington (1910)
and Carstens and Wilson (1993)
had results that
were on balance more consistent with a categorical pattern. In
contrast, Hagbarth (1952)
showed clear examples of both excitation and
inhibition in the same muscle, depending on the location of
stimulus, which is consistent with a continuous pattern. Similarly,
Schouenborg and Kalliomaiki (1990)
and Schouenborg et al. (1992
, 1994
)
showed that muscles excited by stimulation of the skin would be
expected to withdraw the skin away from the stimulus, again more
consistent with a continuous pattern.
The goal of these experiments was to determine whether the continuous
or categorical pattern best describes the tail withdrawal response in
spinalized and intact rats. The tail was chosen because the radial
symmetry of the surface is well matched to studying spatial
transformations and there is extensive literature in the pain field on
heat-evoked "tail flick" responses (Grossman et al., 1982
; Dubner,
1994
). Our results demonstrate that the withdrawal reflex of the rat
tail uses a unique strategy that is a hybrid of continuous and
categorical patterns of movement and that is qualitatively altered by
supraspinal control. These results suggest a novel form of spatial
sensorimotor integration that may be applicable to other models of
spatial transformations.
 |
MATERIALS AND METHODS |
Rats (male, Sprague Dawley, 400-450 gm; Harlan, Indianapolis,
IN) were placed in a conventional cylindrical, acrylic restraining tube
and then positioned vertically (Newport, Irvine, CA) above the testing
apparatus (see Fig. 1). The rat was allowed 45 min to acclimatize
before the experiment.
Pinpoint heat stimuli were delivered with a projection lamp (Fuji,
CXL/CXR, 8 V 50 W) focused with two lenses into a 1 mm spot.
Low-intensity illumination (2.8 V AC) was used to aim the light, and
high intensity (8.2 V AC) was used to deliver heat to eight spots
evenly distributed circumferentially around the tail in 45°
increments (corresponding to 3 mm spacing) and aligned with the
ventral, dorsal, left, and right sides of the rat, and four
intermediate positions. The rat was rotated, and the heat source
remained fixed. Each location was marked with a 1 mm black ink spot to
insure reproducibility and enhance local heat absorption. Withdrawal of
the tail terminated the stimulus, minimizing discomfort to the rat.
The spread of heating of the tail was measured with a miniature,
surface thermocouple (MT-4, 0.125 sec time constant; Physitemp, Clifton, NJ) at locations 0°, 22.5°, 45°, 65.5°, and 90° from the stimulation point. Compared with the peak temperature at the site
of heating (82°C), at 22.5° radially from the stimulation point the
temperature declined to 45°C, and by 45° (the radial interval
between the eight stimulation sites), the temperature had declined to
well below nociceptor threshold (32°C), verifying that the stimulus
primarily excited local thermoreceptors. In more recent studies using a
similar protocol (Bauer et al., 2000
), lack of sensitization or
habituation (Carstens and Wilson, 1993
) was verified over six
consecutive trials (versus only three in this study), also spaced 32 min (4 min/stimulus × eight stimulus sites) apart.
Tail withdrawal responses were characterized by direction and speed of
response. A ring (3.5 cm in diameter for intact animals and 2.5 cm for
spinalized rats) was positioned around the tail 30% of tail length
caudal to the base of the tail (~6 cm). The ring was inscribed with a
polar coordinate system in 10° increments in which the ventral aspect
of the rat was assigned 0° and progressed clockwise around the tail
(see Fig. 1) (the coordinate system is shown below the tail). The
direction of response was measured by visually noting the point on the
inside of the ring where the tail made contact. To measure movement
speed, a thin, moist sponge was placed on the inside of the ring, and a
thin silver wire with a small blob of electrode paste was positioned to
just touch the tail on the side opposite to the expected direction of
movement. These connections were incorporated into an electrical,
voltage-divider circuit that was configured to detect the time of onset
of movement and time of contact with the ring, thus allowing
calculation of average movement speed. Movement times ranged from 10 to
90 msec, corresponding to 5-50 cm/sec. For each rat, response speeds
were normalized by the average speed across all 24 trials. In most experiments (n = 17), both direction and speed were
measured, but in some additional experiments (n = 10),
only direction was measured.
The direction and speed, measured as described above, were used to
calculate vectored responses for each stimulus, with the polar angle
corresponding to direction and polar magnitude corresponding to speed.
The results were analyzed and displayed as either individual (see Fig.
4C,D) or average (see Figs. 2, 3). Averages were then calculated in two ways. Average vectors (see Fig. 2) were calculated by
averaging the individual Cartesian x and y
coordinates ("true" vector average). Average magnitudes and
directions (see Fig. 3) were calculated by averaging the individual
directions and speeds. Thus, responses that have large magnitude but
variable direction (ventral stimulus, 0°, in spinalized rats) will
have small magnitude vector averages (see Fig. 2A,
0°) but large average magnitudes (see Fig. 3, spinal, 0°).
In some experiments, the rat was spinalized 24 hr before the
experiment. The rat was anesthetized with sodium pentobarbital (Nembutal, 50 mg/kg; Abbott, North Chicago, IL), and the spinal cord at
vertebral T6-T7 (spinal segment T7) was exposed by laminectomy and
incision of the dura. After coagulating superficial blood vessels and
applying local anesthetic (4% lidocaine, 5-10 µl; Roxane, Columbus,
OH) both superficially and deep, the spinal cord was cut with
Castroviejo scissors. Completeness of section was verified visually.
The incision was closed, 5 ml of saline was administered
(subcutaneously), and the rat was monitored until recovered. The site
of spinalization, spinal T6, was rostral to the location of motoneurons
that participate in the tail withdrawal response (Brink and Pfaff,
1980
; Grossman et al., 1982
; Cargill, 1983
).
Each of the eight locations was stimulated three times. The
stimulation sequence was dorsal, right-dorsal, right, right-ventral, ventral, left-ventral, left, and left-dorsal (0°, 45° ... 315°), with the three successive stimuli delivered at each adjacent
location 4 min apart (or 32 min apart for stimuli delivered to the same site) to avoid habituation or sensitization (Carstens and Wilson, 1993
). Rats were killed by an overdose of sodium pentobarbital (200 mg/kg). Data were analyzed and plotted using MATLAB, Excel, Sigmaplot,
SPSS, and Coreldraw. Statistical comparisons between movement
directions and speeds (see Fig. 3) were made using one-way ANOVA with a
Tukey post hoc test. Comparisons to 0° in Figure 4,
A and B, were made with one-way t
tests and a Holms sequential Bonferroni correction for multiple
comparisons (Green et al., 1997
).
was set to 0.05. All error bars
are SEM.
Experiments conformed to the National Institutes of Health and
International Association for the Study of Pain guidelines for animal
care and were approved by the Institutional Animal Care and Use
Committee at James Madison University.
 |
RESULTS |
Pinpoint heat stimuli were applied to eight circumferentially
located points around the tail (Fig. 1).
Figure 2 shows the average response
vector for each rat (thin arrows) and the mean response
vector (thick arrows; length doubled for clarity) for all
rats at each of the eight radial locations. Response vectors directed
toward the center of the circle correspond to responses directly away
from the stimulus, whereas responses directed perpendicularly outward
would correspond to responses into the stimulus. In this representation, Sherrington's proposed constant, ventral flexion response (one form of the categorical pattern) would correspond to
identical response vectors all pointing upwards. In contrast, the
continuous hypothesis would predict that the vectors would all point
toward the center of the circle.

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Figure 1.
Experimental arrangement. The diagram illustrates
the experimental methods, including the stimulus, direction, and speed
measurement ring, and coordinate system for measurements. Ventral
corresponds to 0°, which increases clockwise around the tail. To
apply stimuli to different locations on the tail, the rat, measurement
ring, and coordinate system were rotated. Black circles
on the tail indicate stimulus targets.
|
|

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Figure 2.
Response vectors. Each panel shows average
responses from each rat (thin arrows; each is a vector
average of three trials) and the mean response for all eight
(spinalized) or nine (intact) rats (thick arrows). The
length of the mean vector is doubled for clarity. The
circle represents the circumference of the tail, with
the origin of each set of arrows positioned at the point
at which the heat stimulus was delivered. Thus, arrows
pointing directly toward the center correspond to movements directly
away from the stimulus, whereas arrows pointing 180°
away from the center (outward) correspond to movement into the
stimulus. A, Spinalized rats. Responses are primarily
toward the center but with a pronounced ventral bias. B,
Intact rats. Responses are also primarily toward the center, but the
bias is now in the dorsal direction. C, Difference. The
vector difference between the intact and spinal mean responses reveals
that they differ by an approximately constant magnitude dorsal movement
vector.
|
|
Spinalized rats exhibited a ventral bias
The results obtained from spinalized rats and shown in Figure
2A revealed a hybrid pattern of responses. Overall,
the response vectors were directed primarily inward, consistent with
the continuous hypotheses. In only a few instances were the response
vectors directed outward toward the stimulus. Figure
3A, which quantifies the
directions of responses, verifies that the response directions depended
significantly on stimulus location. Magnitude (speed of response),
however, did not significantly vary with stimulus location (Fig.
3C).

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Figure 3.
Direction and magnitudes of responses. Each bar is
the average ± SEM of the directions and magnitudes of individual
responses. Thus, they differ somewhat from the average responses in
Figure 1 because the mean responses in Figure 1 are the mean vectors
rather than the means of individual directions and magnitudes shown in
this Figure (the difference is only large for 0° in the spinalized
and 180° in the intact rats). A,
Direction-spinalized. Response directions differ significantly
(p < 0.05) for 19 of 28 pairwise
comparisons. B, Direction-intact.
Response directions differ significantly (p < 0.05) for 20 of 28 pairwise comparisons. C,
Magnitude-spinalized. Each trial was normalized by the
average response in that rat previous to averaging across rats.
Response directions differ significantly (p < 0.05) for only 2 of 28 pairwise comparisons. D,
Magnitudes-intact. Response directions do not differ
significantly (p < 0.05) for any pairwise
comparisons.
|
|
In addition to the overall inward direction, the responses exhibited a
pronounced bias, or "tilt", in the ventral direction. The ventral
bias is most readily seen as an upward tilt for stimuli applied to the
left (270°) and right (90°) sides. Figure
4A better depicts the
ventral bias by showing the difference between the observed direction
of response and a hypothetical response directly inward; deviation from
0° thus indicates the magnitude of the ventral (upward) or dorsal
(downward) bias. Individually, five of the six lateral stimuli (dorsal
and ventral stimuli are omitted) exhibited a significant ventral bias.
Although the ventral bias was significant for most lateral stimulus
locations, the magnitude of the bias increased as the stimulus location
became more ventral. The responses to pure dorsal and ventral stimuli
also reflected a marked ventral bias; dorsal stimuli produced a
consistent, ventrally directed response, whereas ventral stimuli evoked
a highly variable response (see below).

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Figure 4.
In A and B, average
difference in direction between the actual response and a hypothetical
response directed toward the center (directly away from the stimulus).
Thus, if the continuous hypothesis was correct, all bars would be at
0°. Purely ventral (0°) and dorsal (180°) stimuli are omitted.
A, Spinalized. Ventral (n = 5, upward) or dorsal (downward, n = 1, 135°) bias
are significantly different from 0° (p < 0.005) for all. B, Intact. Dorsal (downward) bias is
significant (p < 0.005) for 4 of 6 stimulus. In C and D, all response
vectors (13 or 14 rats, ~3 per rat) are graphed with unity magnitude
to illustrate the distribution of directions. Identical vector are
shifted by 1° for clarity. Responses to two of the eight stimulus
locations are included; ventral on top and dorsal on the
bottom. C, Spinalized. Dorsal stimulus
evokes a tight cluster of responses in the ventral direction, whereas
ventral stimulus evokes highly variable responses with clusters in the
left, ventral, and to lesser degree,
right direction. D, Intact. Ventral
stimulus evokes a cluster of responses in the dorsal direction, whereas
dorsal stimulus evokes highly variable responses with clusters in the
left and right directions.
|
|
The pattern of responses to ventral stimuli showed a striking
qualitative difference in pattern in comparison to the other seven
stimulus locations. The directions of response to ventral stimuli were
highly variable, including some average responses directly toward the
stimulus; other stimulus locations resulted in a tight cluster of
directions (Fig. 2A), although the average magnitudes
were similar (Fig. 2C). The nature of the underlying process
is better seen in Figure 4C, which shows the directions of
response for all 42 individual trials (typically three per rat; in
comparison, each of the eight vectors in Figure 2A is a vectored average of the three individual trials). Again, dorsal stimulation resulted in a moderately tight cluster of responses, whereas the responses to ventral stimulation were widely scattered. Especially noteworthy are the pronounced clusters of responses leftward, ventrally (into the stimulus) and, to a lesser degree, rightward. Highly different responses were sometimes seen between different trials in the same rat, although responses within individual rats were usually similar.
Intact rats exhibited a dorsal bias
Withdrawal reflexes in spinalized rats must arise from spinal
reflexes. In contrast, responses in intact rats could arise from spinal
reflexes identical to those in spinalized rats, supraspinal, "long-loop" responses, and/or spinal reflexes under tonic
descending modulation. To assess the role of supraspinal control of the
tail withdrawal reflex, similar experiments were performed with intact, unanesthetized rats.
Figure 2B shows that there were similarities and
differences between the spinalized and intact rats. Like spinalized
rats, responses were primarily directed inward, away from the stimulus. Figure 3B shows that the dependence on location was
statistically significant, whereas Figure 3D again shows
that the magnitude of individual responses did not depend on stimulus
location. In further similarity, intact rats also exhibited a bias in
the direction of response that also increased as the stimulus location
approached the direction of the bias. In sharp contrast, however, the
bias in intact rats was exactly opposite to that in spinalized rats; that is, the bias was in the dorsal direction. Figure
4B shows that the bias was individually significant
for three of six lateral stimulus locations. The pattern of individual
responses shown in Figure 4D for dorsal and ventral
stimuli were also inverted in comparison to the responses in the
spinalized rat. Furthermore, the clustering of lateral responses in the
left (270°) or right (90°) directions is especially clear, but in
contrast to the spinalized rats, the cluster of responses directed into
the stimulus (dorsal direction in this case) is absent.
Supraspinal pathways contributed a constant dorsal response
The net influence of supraspinal pathways is shown in Figure
2C, which is the vector difference between the mean
responses in spinalized (Fig. 2A) and intact (Fig.
2B) rats. All eight vectors are highly similar in
both direction and magnitude around the dorsal direction. Thus, the
inclusion of supraspinal pathways "adds" a constant, dorsally
directed response to the spinal response at all stimulus locations.
 |
DISCUSSION |
The results from this study demonstrate that in the spinalized
rat, pinpoint heat stimuli applied to the tail evoke withdrawal responses that have two spatial components; one directly away from the
stimulus and the other in the ventral direction. Furthermore, stimuli
applied to the ventral surface, which "should" evoke a response in
the dorsal direction, instead evoke responses that are highly variable
but primarily in the lateral directions. In contrast, in intact rats
the component directed away from the stimulus persists, but the ventral
bias is replaced by a dorsal bias, whereas the response to ventral
stimuli becomes more variable and lateral. Thus, the addition of
supraspinal pathways appears to invert the ventrodorsal component
without altering the left-right component of the response.
Previous studies in several nonmammalian species have provided evidence
for both the continuous (Stein et al., 1986
; Eaton and Emberley, 1991
;
Lewis and Kristan, 1999
) and categorical (Krasne and Wine, 1984
; Stein
et al., 1986
) pattern. For the mammalian leg withdrawal reflex, early
studies by Sherrington (1910)
and Lundberg (1979)
on the flexor reflex
afferent concept supported the categorical pattern by showing that the
responses to stimuli in different locations were primarily similar
flexion responses. In contrast, Hagbarth (1952)
and more recently
Schouenborg et al. (1994)
have presented data consistent with a
continuous pattern in both spinalized (Schouenborg et al., 1992
) and
intact, halothane-anesthetized (Schouenborg and Kalliomaiki, 1990
)
rats. Their results showed electromyographic activity (EMG) patterns
consistent with the stimulated portion of the limb being moved away
from the stimulus. In the tail there is limited and conflicting
evidence (Carstens and Wilson, 1993
; Holmberg and Schouenborg, 1996
;
Levinsson et al., 1999
). Our results are not consistent with either
pattern, and instead suggest the spatial transformation for the tail
withdrawal reflex is a hybrid continuous-categorical strategy in both
intact and spinalized rats.
There are several possible explanations for the difference between our
results and those obtained in the thorough series of investigations by
Schouenborg's group. First, the neural circuitry controlling the tail
may differ from the leg. Second, they studied anesthetized intact
(Schouenborg and Kalliomaiki, 1990
) and acute spinalized (5-12 hr)
(Schouenborg et al., 1992
) rats, whereas we used intact awake rats and
short-term chronic (24 hr) rats. Third, they characterized the
withdrawal responses in terms of EMG and inferred the direction of
movement based on the pattern and magnitude of muscle EMG, although
there is brief mention of a three-dimensional motion analysis system
(Schouenborg et al., 1994
) used to express movement relative to the
surface geometry of the limb. Because of the biomechanical complexity
of the leg musculature, accurate prediction of direction and magnitude
could be difficult. Further studies will be needed to evaluate the
source of the differences.
Supraspinal descending pathways that influence spinal reflexes arise
from both motor and sensory regions of the brain. The descending motor
pathways include the corticospinal, vestibulospinal, reticulospinal,
and rubrospinal pathways (Schwindt, 1981
). The descending somatosensory
pathways include corticospinal and several bulbospinal pathways
(Gebhart, 1988
). Descending pathways been shown to influence limb and
tail responses by either modulating spinal reflexes (Schwindt, 1981
) or
superimposing an additional "long-loop" response mediated by the
cortex, cerebellum, or other supraspinal structures (Lee et al., 1983
).
Our results showed that spinalization caused a marked alteration in
direction, with the bias switching from ventral in spinalized rats
(flexion) to dorsal (extension) in intact rats. In terms of a Cartesian
coordinate system, this amounts to an alteration of the ventrodorsal
component without effect on the left-right component, raising the
possibility that the two perpendicular components of movement may be
under independent neural control. Similarly, a change in direction in response to a distant nociceptive stimulus was also reported by Morgan
and Whitney (1996)
and Morgan (1999)
, which may have been mediated by
descending pathways. Although our results shed little light on whether
the direction of the reflex bias is altered by modulation of existing
spinal reflexes or addition of a supraspinal component, the similarity
of the results in intact and spinalized rats (except for reversal of
the bias) suggest that the basic features may be encoded in the spinal
cord. Similarly, we can only speculate on which descending motor or
sensory pathways may be involved. Because spinalization could be
interpreted as removing an extensor bias, the vestibulospinal pathway,
which has been shown to facilitate extension and inhibit flexion
(Schwindt, 1981
), is especially indicated.
A striking finding in both intact and spinalized rats was the pattern
of response to stimuli applied opposite to the preferred direction;
that is, dorsal stimuli in intact and ventral stimuli in spinalized
rats. Responses were highly variable, occasionally occurring into the
stimulus, and clustered in the left and right directions rather than
the expected ventral or dorsal directions. One of many possible
explanations is that the neural strategy for stimuli in these locations
is strictly categorical, requiring the nervous system choose one of a
limited number of responses. Alternatively, the mapping may be
continuous but highly nonlinear, such that a small shift in stimulus
position results in dramatically different directions of response.
Combined with some lack of reproducibility in stimulus positioning
between trials and animals, this could primarily explain the pattern of response.
In both intact and spinalized rats, stimuli applied to each of the
eight circumferential locations evoked responses with unique directions
(Fig. 3A,B), suggesting a unique pattern of sensory input
associated with each location. However, previous studies of the
mechanical sensitivity of sacral spinal interneurons that may mediate
the tail withdrawal reflex showed that the interneurons had bilateral
mechanical receptive fields on the tail (Laird and Cervero, 1989;
Douglass and Carstens, 1997
), and thus would not be able to distinguish
between left and right stimuli. However, it is unknown whether the
effects of heat stimuli on sacral interneurons are also bilateral
(Mitchell and Hellon, 1977
; Douglass and Carstens, 1987
). Furthermore,
there is no direct evidence that the interneurons studied were
necessary and sufficient to induce the tail withdrawal reflex. Other
unstudied interneurons could have provided the unilateral thermal
sensitivity needed for the unique mapping of response direction to
stimulus location.
Our results raise the evolutionary question of how the observed spatial
pattern of response may benefit the animal. In general, the continuous
strategy in an ideal world would be best for removing the body part
from the stimulus. However, a categorical strategy may be advantageous
because of biomechanical or environmental asymmetries, and also reduces
the degrees of freedom (Giszter et al., 1993
), thereby simplifying and
possibly speeding the movement. The rat tail is normally kept on or
close to the ground, making strict ventral movements impossible; our
results in the intact rat thus showed the expected dorsal bias. The
clustering of lateral responses to ventral stimulation also makes sense
because the extent of movement in the dorsal direction is limited, and
a full lateral movement would bring the tail as close as possible to the body, providing greater protection from injury. Although
speculative, these ideas suggest that supraspinal control of the rat
tail may have evolved to better adapt the response to the biomechanical and environment constraints on tail movement.
 |
FOOTNOTES |
Received Oct. 9, 2001; revised Jan. 30, 2002; accepted March 11, 2002.
This work was funded by National Institutes of Health Grant NS32261 and
James Madison University. We thank Andrew Hawkins, Brady Allen,
Katherine Johnson, and Steve Gentile for technical assistance.
Correspondence should be addressed to Corey Cleland, Department of
Biology, James Madison University, Harrisonburg, VA 22807. E-mail:
clelancl{at}jmu.edu.
 |
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