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Department of Psychology, University of Florida, Gainesville, FL 32611 * Department of Psychology, Florida State University, Tallahassee, FL 32306
4To whom correspondence should be addressed.
| ABSTRACT |
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KEY WORDS: meal pattern analysis threonine rats specific appetite two-bottle test
| INTRODUCTION |
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The amount consumed (of either a solid or liquid nutritive stimulus)
over the course of a day is a result of the combination of bout size
and number. Meal pattern analysis quantifies these and other components
of ingestive behavior. In doing so, it is possible to determine how
various gustatory, physiologic, pharmacologic or surgical manipulations
influence intake variables (Davis 1989
). Meal pattern
analysis is an ideal tool with which to explore the deficient rats
adaptive increased intake of LYS. This type of detailed analysis can
set the boundaries for the search of the physiologic mechanisms
underlying recovery from LYS deficiency. For example, the development
of an appetite can be tracked temporally; at what point in time do
LYS-DEF rats begin drinking more LYS relative to their nondeficient
counterparts? Given that LYS-DEF rats do not show an amplified
response to LYS immediately (Markison et al. 1999
), the
characterization of this time course is important and may reveal the
minimum amount of time that is required for the signal(s) of repletion
to be interpreted and associated with taste cues, thereby setting the
functional boundaries for any search for the underlying physiologic
mechanism(s).
Meal pattern analysis represents a model of homeostasis-based behavior that can be compared with other depletion-induced compensatory ingestive responses, both learned and unlearned. There are several ways in which LYS-DEF rats can enhance their intake of LYS. It is possible that LYS-DEF rats will increase bout size (number of licks/bout); this could be interpreted as reflecting a shift in the palatability of LYS. That LYS deficiency enhances the palatability of LYS would be further supported by increases in rate (licks/s) of ingestion during a bout. An analysis of the meal patterns of LYS-DEF rats ingesting LYS would yield information pertaining to the rats hedonic evaluation of this stimulus. The LYS-DEF rat may also increase LYS intake by increasing the number of bouts initiated. This outcome would suggest that deficiency may not render LYS more "palatable," but may increase ingestion by virtue of relieving the deficiency. In other words, the LYS-DEF rat might treat LYS as a sick human would treat a bitter-tasting medicine. Ultimately, the question that remains is how does the animal make these adjustments in the service of correcting the deficiency? Without such knowledge, a comprehensive understanding of the physiologic/neural mechanisms subserving such adaptive ingestive behavior will be difficult to attain.
Additionally, we examined the chemospecificity of elevated intake in
LYS-DEF rats to explore the nature of the appetite stimulated by
specific EAA deficiency. In particular, does amino acid deficiency
promote an appetite that is distinct for the needed amino acid or does
it generalize to other amino acids? This type of "general appetite"
has been shown to occur in calcium-deficient rats. Calcium
deficiency induced up to an eightfold elevation in daily intake of 0.3
mol/L NaCl relative to control rats (Tordoff et al. 1990
).
Each of the following questions was addressed in this study: 1) What adjustments in meal pattern (e.g., bout number, bout size), if any, accompany the deficiency-induced enhanced LYS responsiveness? 2) Does enhanced intake occur in response to another nonlimiting amino acid, THR? 3) What is the developmental time course of the enhanced LYS responsiveness (determined by cumulative licking over 23 h) during both one- and two-amino acid choice tests? Potentially, the results generated from the LYS-DEF rat may be generalizable to behavioral recovery from other specific nutrient deficiencies.
| MATERIALS AND METHODS |
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Adult male Sprague-Dawley rats (Charles River, Wilmington, MA) were studied. In Experiment 1, 14 rats weighing an average of 364 ± 22.6 g at the start of the experiment were used. Two groups (n =16/group), weighing 415 ± 20.4 and 283 ± 8 g at the start of the experiments, were used in Experiments 2 and 3, respectively. Rats were housed singly in modified hanging wire mesh cages (described in detail below) in a room with a 12-h light:dark cycle (lights on 08002000h). Rats had free access to a nonpurified powdered diet (Purina Chow 5001; Ralston-Purina, St. Louis, MO) and distilled water before the beginning of the experiments and during the spout-licking habituation phase. When the experiments began, rats were given the experimental diets and distilled water. During testing, taste solutions were present on the cage (described below). The protocols described here were approved by the Institutional Animal Care and Use Committee of the University of Florida.
Experimental diets.
Specific amino acid deficiency was achieved by providing rats with a
diet that contained a low proportion of LYS (see Table 1
). First, rats were given free access to a basal diet for 7 d. The
basal diet consisted of 11% protein and all the EAA, but was slightly
limiting in the EAA, LYS. Rats were fed the basal diet before the
deficient diet to reduce stores of circulating, unsequestered free
amino acids and proteins so that deficiency could be induced rapidly
upon feeding the EAA-deficient diet [see Gietzen and Beverly (1992)
]. After 7 d of consuming the basal diet,
rats were divided into two groups, matched as closely as possible for
body weight and basal diet intake. The control (CON) group was fed a
complete, amino acidbalanced diet consisting of 20.4% protein and a
total of 2% LYS. The LYS-DEF diet consisted of 19.4% protein and
contained a total of only 0.1% LYS. Nitrogen levels were equated
between the two diets by adding the nonessential amino acid glycine to
the LYS-DEF diet. Diets were obtained from Harlan Teklad (Madison,
WI) in powdered form and stored at 4°C.
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Amino acids (i.e., L-lysine and L-threonine)
for solutions were obtained from Sigma Chemical (St. Louis, MO).
Stimuli were remade daily with room-temperature distilled water.
The concentrations of LYS and THR for these experiments were determined
on the basis of previous research; thus we did not simply use
concentrations of equal molarity. The selected concentrations were
above the threshold for the chorda tympani nerve as determined by
electrophysiologic recordings (Pritchard and Scott 1982
). Furthermore, in short-duration tests (which are
believed to be guided by oral sensory input), rats licked these
concentrations of LYS and THR significantly more than water, indicating
the behavioral relevance of these amino acid stimuli (Markison et al. 1999
).
Apparatus.
The apparatus used to measure licking over the 23-h periods was a
revised version of that described previously by Spector and Smith (1984)
. Briefly, 16 Hoeltge hanging wire mesh cages were
modified to include three ports for measurement of liquid and food
intake. There were two slits in the back of the cage allowing access to
two stainless steel drinking spouts located just outside the cage.
Thus, the rats tongue had to protrude just beyond the slit opening to
contact the spout. The rat was required to extend its head inside a
feeding compartment on the front of the cage for access to food.
Phototransistors and infrared light-emitting diodes were positioned
so that licks on either of the two spouts and entries into the feeder
interrupted a beam. The beam interruptions were transmitted to a
computer and recorded in 6-s bins. Intake patterns were measured for
23 h, allowing a 1-h period each day for refilling solution
bottles and food cups, and measuring body weight.
General procedure.
The procedures for Experiments 1, 2, and 3 are summarized briefly in
Table 2
. The rats in all three experiments were habituated to the Hoeltge cages
described above for at least 3 d before presentation of the basal
diet. The length of the sipper tubes was varied over the 3 d such
that on d 1, the tubes were long enough to protrude through the slit
and into the cage. On d 2, the tubes were slightly shorter, and on d 3,
the rats were presented with the tube length that was used throughout
the rest of the experiment. These tubes did not protrude into the cage;
the rat was required to extend its tongue through the slit, outside of
the cage, to make contact with the spout. This was done to prevent
accidental beam breaks. During the spout-licking habituation and
the dietary manipulation phases of the experiments, rats had access to
two bottles filled with distilled water. After habituation, all rats
were fed the basal diet for 7 d. For the next 10 d, the rats
in the top two rows of cages were fed the LYS-DEF diet, whereas the
bottom two rows of rats were fed the CON diet. Body weight was measured
daily and used to monitor the deficiency; other investigators have
shown that when rats are fed a diet that is devoid of or low in a
single EAA, food intake is decreased and weight loss occurs
(Elvehjem and Krehl 1955
, Harper 1958
).
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Statistics.
Body weights were converted to percentage of initial body weight by dividing each rats body weight on a given day by its body weight on the day before the basal diet was presented. These values were then compared using two group x day ANOVA for the two diet presentation phases of the experiment (7 d of basal diet feeding and 10 d of experimental diet feeding). Subsequent Bonferroni-adjusted independent (unpaired) Students t tests were performed between groups for each day of the experiment.
When rats were given two-bottle intake tests that included LYS, in
all experiments, LYS-DEF rats (as a group) significantly increased
their daily LYS intake relative to CON rats (see Table 3
). There was variability among individuals, however. A few rats showed
only modest increases or did not increase LYS intake. It was not
meaningful to include such rats in the analysis of the meal patterns
because the goal of this analysis was to describe changes in meal
pattern that correspond to the adaptive preference for
LYS. Therefore, rats were excluded from statistical analyses if they
did not fall above the 95% confidence interval of the CON group with
respect to both 4-d LYS intake and 4-d LYS preference. Because this was
the case, one rat in Experiment 1, one rat in Experiment
2 and two rats in Experiment 3 were not included in the analysis. It
should be emphasized that the main effect of dietary treatment group on
LYS intake was still significant when these rats were included in the
analysis (Table 3)
.
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In addition to intake measured in milliliters, the number of licks (in 6-s bins) that each rat took at each drinking spout (i.e., left bottle, right bottle) during 23-h periods was determined. For the cumulative licking analysis, these data were collapsed into 15-min intervals, providing the number of licks taken to each of the stimuli during 92 consecutive 15-min bins. The number of licks per bin was counted beginning after a given rats first lick. This was done to track the time course of intake relative to the rats first exposure to the stimulus. Unpaired t tests at each of the 92 time intervals on d 1 were used to compare cumulative licking between dietary groups.
For meal pattern analysis, the lick data were summarized into bouts. Typically, rats eat and drink in bouts of behavior, which can be operationally defined. A bout was defined using the following three criteria: 1) a bout started with 3 licks within a 6-s bin; 2) a bout ended when there were no licks for 5 consecutive minutes; and 3) bouts < 30 licks were excluded from the bout analysis. These criteria allow for a comprehensive characterization of the pattern of test stimulus ingestion. Typically, >95% of the total number of licks are included in bouts. Thus, these criteria truly capture the feeding behavior and describe it accurately. When the total lick data were divided into meal patterns, three variables were examined, i.e., bout number, bout size (licks/bout) and ingestion rate (licks/s). Increases in overall intake can occur as a function of increases exclusively in either bout number or bout size (licks/bout), or a combination of changes in both variables.
Meal pattern variables were examined with two-way (group x day) ANOVA. Significant day main effects were examined using Bonferroni-adjusted paired t tests Significant group x day interactions were examined using Bonferroni-adjusted unpaired t tests comparing groups on each of the four test days.
| RESULTS |
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The body weight results from all three experiments were similar
(Fig. 1
). There were no differences between the body weights of the dietary
groups during the 7-d basal diet phase in any of the three experiments.
The basal diet contained sufficient protein and was appropriately
balanced with regard to amino acid content as demonstrated by the fact
that all rats gained weight over the 7-d basal diet feeding
[Experiment 1: F (1,6) = 132.0, P < 0.001;
Experiment 2: F (1,6) = 113.0, P < 0.001;
Experiment 3: F (1,6) = 205.0, P < 0.001].
Groups did differ as a function of what diet they were fed during the
first 10 d when they were switched to the experimental diets
[Experiment 1: F (1,12) = 61.97, P < 0.001;
Experiment 2: F (1,14) = 29.57, P < 0.001;
Experiment 3: F (1,14) = 129.5, P < 0.001].
Subsequent Bonferroni-adjusted t tests revealed that the
rats fed the LYS-DEF diet had significantly lower body weights
relative to their CON group by d 1 after the diet was presented in
Experiment 3 (all P < 0.05) and by d 2 in Experiments
1 and 2 (all P < 0.05). These results indicate that
feeding rats a diet with a reduced level of LYS produces a substantial
decline in body weight indicative of the deficiency.
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Figure 2
(upper panel) shows that, overall, LYS-DEF rats consumed
significantly more LYS [F (1,11) = 20.22, P < 0.001] and less water [F (1,11) = 46.49, P < 0.001] than did CON rats. This pattern of two-bottle intake
resulted in a significantly greater LYS preference [F (1,11) = 67.44, P < 0.001]. There were also significant main
effects of day for LYS preference [F (3,33) = 3.43, P
< 0.05], but no significant interactions in any of the analyses.
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The other measures from the meal pattern analysis (i.e., bout size and ingestion rate) did not appear to be substantially influenced by deficiency. LYS bout size did not vary between groups. For water, however, CON rats took significantly larger bouts compared with LYS-DEF rats [F (1,10) = 6.16, P < 0.05]. Drinking rate was unaffected by LYS deficiency for both stimuli. However, there was a significant main effect of day for LYS [F(3,24) = 4.63, P < 0.01]. Post-hoc tests (Bonferroni-adjusted paired t tests, collapsed over groups because there were no interactions) revealed that LYS drinking rate was significantly slower on d 1 relative to d 3 and 4 (all P < 0.05).
Figure 3
shows the number of cumulative licks that rats took during d 1 of LYS
and water presentation. LYS-DEF rats took significantly more licks
to LYS relative to CON rats by 30 min after sampling the LYS (all
P < 0.05), and CON rats took significantly more
cumulative licks to water at minute 405 (6 h, 45 min) and each interval
thereafter.
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Not surprisingly, LYS-DEF rats did not increase intake of THR, a
nonlimiting EAA, when it was offered on the home cage for ~23 h (see
Fig. 4
). There were no significant main effects of group for THR intake, water
intake or THR preference, nor were there any significant main effects
of day or interactions. Bout number and bout size also did not differ
between groups.
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As expected, there were no differences between the dietary groups in
response to THR (see Figs. 4
and 5
). Thus, LYS intake was measured to
ensure that the typical increase in LYS responsiveness would be
observed. As predicted (Fig. 6
), LYS-DEF rats drank more LYS [F(1,13) = 41.92, P
< 0.001] and less water [F(1,13) = 30.49, P
< 0.001] relative to CON, resulting in a significantly greater
preference for LYS [F(1,13) = 46.05, P < 0.001]. Consistent with the results from Experiment 1, this group of
LYS-DEF rats also took significantly more LYS bouts [F(1,13)
= 10.11, P < 0.01] and fewer water bouts
[F(1,13) = 17.35, P < 0.01], resulting in a greater
LYS preference [F(1,13) = 35.42, P < 0.001].
The results for bout size were also congruous with those from
Experiment 1; there were no differences between dietary groups for LYS
[F(1,10) = 0.40, P = 0.54] or water [F(1,8)
= 0.11, P = 0.75]. Although the rats in this
experiment were given experience with THR before they were ever
presented with LYS solution, their intake and meal pattern results
replicate those of Experiment 1. Although not depicted on the body
weight graph, LYS-DEF rats in Experiment 2 did significantly gain
weight over the 4 d they had access to LYS and water.
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When LYS and THR were presented together, LYS-DEF rats showed a
pattern of behavior very similar to that described above for Experiment
1 (LYS vs. water). In response to LYS deficiency, rats increased intake
of LYS even in this two-amino acid choice situation (Fig. 7
, upper panel). LYS-DEF rats drank significantly more LYS
than CON [F(1,11) = 36.28 P < 0.001] and less
THR [F(1,12) = 25.86, P < 0.001], resulting in
a significantly greater LYS preference [F(1,11) = 36.23,
P < 0.001]. Furthermore, there was a significant main
effect of day for LYS intake [F(3,33) = 3.92, P
< 0.01] and LYS preference [F(3,33) = 3.42, P
< 0.05], but no interactions. Post-hoc tests (collapsed over
groups) revealed that both LYS intake and LYS preference were decreased
on d 2 and 4 relative to d 1 (all P < 0.05).
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Neither bout size nor ingestion rate differed between the two dietary groups for LYS or THR. Collectively, these findings demonstrate that the enhanced LYS intake by LYS-DEF rats was effected entirely through adjustments in bout number rather than bout size regardless of whether the rats were presented with a choice between LYS and water or between LYS and THR.
During d 1 of LYS and THR presentation, the LYS-DEF group took
significantly more cumulative licks to LYS relative to CON by 90 min
after sampling the LYS (all P < 0.05); the groups
differed for all later intervals, except minute 285 and 300 (Fig. 8
). There was considerable overlap in THR cumulative licking; the CON
took significantly more cumulative licks to THR beginning at minute 855
(14 h, 15 min) and each interval thereafter. Interestingly, the
addition of another chemical cue (i.e., THR) to the choice appeared to
delay the expression of the LYS appetite.
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| DISCUSSION |
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Enhanced intake of LYS in LYS-DEF rats occurred as early as 30 min
after sampling when LYS was tested against water, and ~90 min after
sampling when LYS was tested against another EAA, THR. Although this is
a fairly rapid onset of LYS appetite, it is likely that rats formed an
association between the taste of LYS and its repleting postingestive
consequences within this time frame. In the case of sodium deficiency,
an appetite believed to be "innate," rats given sodium salts showed
immediate enhanced licking (Handal 1965
, Markison et al. 1995
, Nachman 1962
). In the case of LYS
deficiency, immediate responsiveness was not observed (Markison et al. 1999
).
Interestingly, the presence of a second amino acid (THR) did not eliminate the development of a LYS preference. However, its expression was delayed (i.e., 90 min after stimulus sampling). This delay in preference can likely be attributed to the complexity of the discrimination. In Experiment 1, rats merely had to choose between a solution of water (a familiar stimulus) or LYS (a "novel" stimulus), whereas in Experiment 3, rats were required to choose between two novel solutions, LYS and THR.
The latency of LYS-DEF rats to ingest LYS, determined in these
experiments, generally parallels findings by other investigators in
terms of detection of and behavioral reaction to dietary manipulations.
Of course, measurement was made of the deficient rats latency to
prefer the needed amino acid when it was presented in solution. Another
approach has been to examine the rats latency to show an anorectic
response to the presence of an insufficient diet (EAA imbalanced or
deficient; Elvehjem and Krehl 1955
, Harper 1958
). Interestingly, the emergence of the anorectic response
in EAA-deficient rats occurs within time frames very similar to
what has been shown here for enhanced solution intake. For example,
Leung and Rogers (1986)
presented rats with a choice of
sufficient and THR-deficient diets. Two to three hours after
presentation of the diets, rats expressed a preference for the
THR-balanced diet. This latency is slightly longer than in other
experiments; however, in this paradigm, rats were required not only to
reject the imbalanced diet but then demonstrate a preference for the
sufficient diet. Furthermore, this paradigm required rats to make a
complex discrimination. The discrimination was between two diets that
presumably had similar sensory properties (the only difference between
the diets was the level of THR). In our experiment, rats showed
relatively rapid response times. Although it is true that rats were
required to make a discrimination, it was between two distinct and
simple stimuli (Markison et al. 1999
). The present data,
in conjunction with other reports (Gietzen et al. 1986
,
Leung and Rogers 1986
), support the notion that a fairly
rapid mechanism for detection exists such that behavioral responding
can occur to circumvent the negative consequences of prolonged amino
acid deficiency. The work of Gietzen and collaborators [see
Gietzen (1993)
] has focused on the neural mechanisms
underlying behavioral changes in response to feeding rats
EAA-deficient and -imbalanced diets. It appears that EAA levels are
detected in specific brain areas, particularly the prepyriform cortex.
As mentioned above, the ease with which LYS-DEF rats expressed a
LYS preference when LYS was tested against water (Experiment 1) could
be related to the fact that they were simply selecting the "novel"
solution. Rodgers and Rozin (1966)
showed that
rats made deficient in the vitamin thiamine preferred a novel diet
(within 15 min of presentation) to the familiar diet that was used to
induce deficiency. They concluded that deficient rats may choose novel
diets as a strategy to overcome nutritional deficiency. This raises the
question whether EAA deficiency produces a chemospecific appetite or a
general increase in consumption of any novel available substance. It is
possible that the inception of a learned preference for LYS is merely a
preference for anything novel. Only after the association of LYS taste
and repleting consequences does a lasting LYS preference develop. This
possibility was investigated in Experiment 2 by a close examination of
responsiveness to THR, a novel stimulus that does not lead to recovery
in the LYS-DEF rat. If EAA deficiency merely stimulates an appetite
for "novelty," then one would have expected LYS-DEF rats to (at
least) initially show an increase in responsiveness to any chemical and
continue to ingest only those that were associated with positive
postingestive benefits. Although ingestion in only 15-min intervals
was analyzed, there was no evidence of increased consumption of THR,
the nonlimiting amino acid, at any time during testing.
These results demonstrate at least some degree of chemospecificity in
behavioral responsiveness to LYS after deficiency and do not support
the notion that LYS-deficient animals simply increase consumption
of any novel stimulus.
Another important and consistent finding in this series of experiments
was that enhanced intake of LYS in LYS-DEF rats can be accounted
for by an increase in bout number and not an increase in bout size. In
other words, LYS-DEF rats initiate more ingestive bouts of lysine
relative to controls, but once a drinking episode is begun, they do not
increase the amount they consume. This may mean that LYS deficiency
does not serve to elevate the "palatability" of LYS. The definition
and utility of the term palatability have been the center of some
debate over the years (Berridge 1996
, Kissileff 1990
, Pfaffmann 1960
, Ramirez 1990
, Rogers 1990
, Young 1959
).
For our purposes, palatability can be considered a hypothetical
construct that cannot be observed directly, but can be inferred from or
defined operationally by certain behaviors including those described by
meal pattern variables (i.e., bout size, bout number) and
within-bout ingestion rate [see Smith (2000)
].
Sucrose, for example, can be considered palatable because it serves as
an effective reward in operant paradigms (Conover and Shizgal 1994
, Reilly 1999
). Furthermore, a so-called
"palatable" stimulus such as sucrose elicits distinct adjustments
in meal pattern variables. By way of comparison, it is useful to review
briefly meal pattern analysis findings by other investigators that have
used sucrose. Spector and Smith (1984)
showed that as
the concentration of sucrose was increased up to midrange
concentrations, nondeprived rats responded by increasing both bout size
and bout number. Smith et al. (1987)
showed that when
rats were given access to 32% sucrose, it was ingested in prolonged
bouts. These experiments support the notion that in response to
"palatable stimuli" such as sucrose, rats increase bout number as
well as bout size.
In contrast to behavioral responding to sucrose, the LYS-DEF rat
consuming LYS increased only bout number and not bout size. It is
tempting to speculate that under conditions of deficiency the hedonic
value of LYS would increase; bout size and bout number would be
elevated relative to water intake (in LYS-DEF rats) and relative to
LYS intake in nondepleted control rats. But this was not the case.
Whether LYS-DEF rats were presented with a choice between LYS and
water or between LYS and THR, they increased LYS intake consistently as
a function of bout number, not size. That LYS deficiency does not
appear to enhance the palatability of LYS is further supported by the
analysis of lick rate. Lick rate has been used as an index of
palatability (Davis & Smith 1988
, Davis 1989
, Smith 2000
). For example, when rats
consumed sucrose, within-bout drinking rate increased with
concentration (Spector and Smith 1984
). However, the
LYS-DEF rat showed no differences in lick rate to LYS relative to
water or nondeficient controls.
Collectively, the pattern analysis of ingestive behavior in LYS-DEF rats revealed the following: 1) LYS deficiency produces a specific appetite that is expressed relatively quickly but not immediately. In two-bottle tests, the appetite emerged as early as 30 min after sampling when LYS was presented with water, and as late as 90 min when LYS was tested with THR. 2) LYS deficiency does not seem to enhance the palatability of the limiting amino acid as judged by behaviors such as lick rate and bout size. Instead, it appears that LYS-DEF rats relieve the deficiency by increasing the number of drinking episodes initiated. These findings highlight the advantages of analyzing ingestion as a series of moment-by-moment behavioral events, instead of examining merely total output (e.g., intake).
| FOOTNOTES |
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2 Presented in part in a dissertation in partial
fulfillment of a Doctor of Philosophy degree (awarded to S. Markison)
from the University of Florida, Gainesville, FL 32611 and in two
abstracts [Markison, S., Thompson, B. L., Smith, J. C. &
Spector, A. C. (1997) Lysine deficiency increases number of
ingestive bouts to lysine. Appetite 29, 405 (abs.)] and
[Markison, S., Thompson, B. L., Smith, J. C. & Spector,
A. C. (1998) Lysine-deficient rats drink significantly more
lysine than controls in a two-amino acid choice test by increasing
number of ingestive bouts. Chem. Senses, 23, 645 (abs.)]. ![]()
3 Current Address: Department of Psychology,
University of Pennsylvania, 3815 Walnut Street, Philadelphia, PA
19104-6196. ![]()
5 Abbreviations used: CON, control; EAA, essential
amino acid(s); LYS, lysine; LYS-DEF, lysine-deficient; THR,
threonine. ![]()
Manuscript received September 16, 1999. Initial review completed November 16, 1999. Revision accepted January 20, 2000.
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