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Department of Physiology, University of California San Francisco, San Francisco, California 94143-0444
Address all correspondence and requests for reprints to: Norman Pecoraro, Department of Physiology, University of California San Francisco, 513 Parnassus Avenue, San Francisco, California 94143-0444. E-mail: npecora{at}itsa.ucsf.edu.
| Abstract |
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| Introduction |
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Experimental evidence suggests complex relationships between ingestive motivation and chronic stress. First, glucocorticoids (GCs), prime regulators of both energy balance and stress (11), are controlled by a wide range of variables, including hunger (12), feeding (13, 14), aversive stimuli, expectancy (13, 15, 16), and circadian factors (11, 14, 17). Second, in male rats, repeated stressors generally reduce food intake and body weight (18), which complicates simple findings of reduced feeding after stress, because larger animals may eat more, simply because they are larger. Third, inducing stress responses through aversive stimuli likely calls forth incompatible defensive repertoires that obscure or temporarily dominate underlying effects on ingestive motivation (19, 20, 21).
Manipulations of GCs frequently suggest excitatory effects on the salience of both positive and negative incentives. Adaptive anorexia (20), anxiety symptoms (22), and increased hypothalamic-pituitary-adrenal (HPA) responsiveness (23, 24) indicate facilitation of centrally driven defensive strategies. Much evidence also suggests that GCs amplify the salience of positive incentives, as well. For example, elevated GCs stimulate appetitive activities, such as drug-taking behaviors (25, 26), result in dose-dependent increases in wheel running (27) and palatable feeding (1, 3, 28) and may generally reduce thresholds for pleasurable stimulation. Thus, stress levels of GCs feedforward in brain, inducing both aversive and appetitive drives, which may be denoted more generally as "drive induction."
Conflicting data also suggest feedback effects of high-calorie diets or obesity on the function of the HPA axis and central stress response networks, but it remains unclear whether high-calorie diets or obesity have inhibitory or excitatory effects on central stress networks. In rats, a forced high-fat diet increased both basal and stress-induced hormone secretion, and it was suggested that chronic dietary fat was itself a stressor (10, 29). Several studies have indicated positive correlations between high-energy diets/obesity and peripheral hypercortisolemia in humans and in genetically obese animals (30). In such cases, it is not clear whether obesity causes increased HPA function or changes in peripheral metabolism of stress hormones. Even where increased centrally mediated function is indicated, the development of potential metabolic pathologies, such as insulin resistance, further complicate interpretation of results.
In contrast to reports of positive correlations between apparent HPA function and obesity, a number of studies have suggested protective effects of high-energy diets against stress. Rats eating a high-fat diet for 23 months had reduced sympathetic responses to stressors, compared with animals eating high carbohydrate diets (31). Short-term exposure to high fat also reduced anxiety on the elevated plus maze (32). After inescapable footshock, rats drank more sucrose than saccharin, which immunized them against learned helplessness (33). Levin et al. (4, 8) reported that the HPA response is blunted in rats consuming high-calorie diets, a finding paralleled in some human subjects (34, 35). In women, visceral fat was associated with high cortisol levels. However, women with low waist-to-hip ratios failed to habituate to repeated stress, whereas those with higher waist-to-hip ratios habituated (36).
GCs appear to provide metabolic inhibitory feedback on central networks through redistribution of peripheral energy stores. Removal of GCs by adrenalectomy (ADX) suppresses food intake and weight gain (3), but both sucrose ingestion and sc corticosterone (B) pellets, but not B infused intracerebroventricularly (24), reversed these deficits and normalized corticotropin-releasing factor (CRF) and dopamine ß-hydroxylase mRNA in several nodes of the central stress network (2). These results suggest that the HPA axis may be additionally regulated by a peripheral, inhibitory metabolic signal. Overall, evidence for a protective effect of feeding through some type of metabolic feedback is intriguing but incomplete.
In an attempt to account for both drive induction and reduction effects of GCs on central networks, we recently proposed a working hypothesis of chronic stress (Ref. 1 ; see Fig. 1
) that differs significantly from the well-known, inhibitory feedback regulation mediated by acute elevations of GCs. In this model, chronically elevated B crosses the blood-brain barrier to excite central pathways directly, providing feedforward regulation of both aversive and appetitive motivation, whereas peripherally, energetically corrective effects of B and food provide an inhibitory metabolic feedback signal to the central nervous system.
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| Materials and Methods |
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Procedure
After their arrival, animals received a 5-d habituation period consisting of ad libitum access to chow (Purina Rat Chow no. 5008; Ralston Purina, St. Louis, MO) and water and once daily weighing at 1000 h. After habituation, animals that would receive comfort food (lard and sucrose) during restraint were preexposed for 3 d to diminish neophobia to the novel palatable foods. Lard (Armour, Inc., Omaha, NE) was presented in plastic dishes (7 cm diameter); 1.0 M sucrose mixed from commercial grade sugar and tap water was delivered in 200-ml water bottles. Chow, lard, and sucrose were weighed daily at 1000 h, and kilocalories were determined from day-to-day difference scores (chow = 3.31 kcal/g; lard = 9 kcal/g; sucrose = 4 kcal/g dry weight; Table 1![]()
). Respective kilocalories were standardized per 100 g body weight, and percent intake in comfort food = (daily kilocalories in sucrose + lard)/(total daily kilocalories). Caloric efficiency was calculated as body weight change per kilocalories ingested. One day intervened between preexposure and onset of the repeated restraint stressor.
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Blood sampling and plasma assays
On the first, third, and fifth days of restraint, blood was collected (300 µl) at 0, 40, 90, and 180 min. Samples were collected from tail nicks into heparinized capillary tubes, except for the 180-min sample on the final day, which was collected from trunk blood after decapitation. Tail blood samples were transferred to Eppendorf tubes and centrifuged at 7000 rpm for 18 min, and plasma was collected and frozen in aliquots at 4 C for later assays. Corticosterone (B) and testosterone (T) were measured using RIA kits from ICN Pharmaceuticals (Costa Mesa, CA) according to the manufacturers instructions. Insulin was measured using RIA kits from Linco (St. Charles, MO) according to the manufacturers instructions. ACTH hormone was measured using an antibody kindly provided by Dr. W. C. England, Department of Surgery, University of Minnesota. Radiolabeled ACTH and standards were purchased from Diasorin Inc (Stillwater, MN), and the assay was conducted as previously described (37).
Fat depots
White adipose tissue (WAT) stores collected from all subjects included unilateral depots of epididymal WAT (eWAT), perirenal WAT (prWAT), scWAT, and mesenteric WAT (mWAT), which were then fine-dissected and weighed. Organ collection and weighing included adrenal, thymus, testis, and seminal vesicles.
Brain collection and in situ hybridization
After decapitation, brains were removed and frozen in OCT (Tissue Tek; Sakura Finetechnical, Inc., Torrance, CA) on a dry ice-ethanol bath. Brains were stored at 80 C until sectioned. Fourteen-micrometer sections were cut on a cryostat and mounted onto superfrost plus slides. Sections were fixed in 4% paraformaldehyde as described earlier (38, 39). Thereafter, sections were stored at room temperature. Plasmid containing a 1.0-kb rat CRF cDNA insert was linearized using HindIII, and SP6 RNA polymerase was used to generate antisense riboprobe from 1 µg linearized template. Riboprobe was transcribed using a kit (Promega, Madison, WI) and [33P]UTP according to suppliers specifications. Unincorporated nucleotides were separated from the radiolabeled probe using a Sephadex G-50 column (Bio-Rad, Hercules, CA). Probe was denatured at 65 C for 10 min, and 2 x 106 cpm of probe was applied to each slide in a hybridization mix containing 10% dextran sulfate, 50% deionized formamide, 0.3 M NaCl, 10 mM Tris-Cl (pH 7.5), 1 mM EDTA (pH 8.0), 1x Denhardts solution, and 0.1 mg/ml yeast tRNA. Sections were coverslipped and hybridized at 55 C in a moist chamber for 1618 h. Brain sections were confirmed to contain the paraventricular nucleus (PVN) of the hypothalamus by staining adjacent sections with Nissl. After hybridization, coverslips were removed in 2x saline sodium citrate (SSC), sections were treated with ribonuclease A for 30 min at 37 C (2 mg/100ml in 0.5 M NaCl and 0.1 M Tris-Cl, pH 8.0), washed in 1x SSC at room temperature for 30 min, followed by a wash at a final stringency of 0.1x SSC at 55 C for 30 min, dehydrated through an alcohol series, air-dried, and apposed to x-ray film (Amersham, Buckinghamshire, UK) for 24 h and 3 d. Slides were then dipped in NBT-2 emulsion (Eastman Kodak, Rochester, NY) diluted 1:1 with water. Slides were developed and fixed after 9 d of exposure to the emulsion, counterstained with Cresyl violet, and cover-slipped. A comparison of 3-d films to C-14 standards showed that the data occurred along a linear dose-response curve. Emulsion and film data were essentially identical, with respect to relationships between groups, the resulting statistics, and conclusions. Emulsion data were used for reporting.
Data analysis
Areas under the response curve (AUC) for ACTH, B, and T were calculated by subtracting the basal value (0 min) from subsequent time-points and applying the trapezoidal rule. Due to technical problems, the 180-min sample from ACTH was excluded from analysis. ANOVAs were conducted for omnibus testing with P at
set to 0.05, and were reported in all cases. Planned comparisons were achieved using one-tailed t tests and were restricted to specific, critical directional hypotheses (i.e. ACTH, B, and CRF mRNA). Tukeys honestly significance difference (HSD) was used for less critical or specific post hoc comparisons. One animal in group R(+) was dropped from the study for repeatedly escaping restraint.
Semiquantitative densitometric analysis of the relative mRNAs was performed using Macintosh-based Image J Software (Wayne Rasband, National Institutes of Health) by sampling dark-field autoradiographic images aligned to corresponding Nissl-stained sections using a standard template of the region of interest. Three to six adjacent sections were processed for each animal, depending on the accuracy and quality of the section. Most animals had at least four sections sampled. The median was calculated for each animal to obtain group means. One brain from group () was not used for analysis due to poor sectioning.
| Results |
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= 0.025) showed that groups eating chow gained weight, t(15) = 3.89, P < 0.002; whereas groups eating comfort food lost weight, t(14) = 2.75, P < 0.02, between the first and second days of the preexposure period. However, a one-way ANOVA showed no differences in initial body weights between groups on the day before the first stress, F(3, 27) < 1.0.
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Standard daily total kilocalories
There were no differences in standardized caloric intake (kilocalories per 100 g body weight) during chow baseline period [F(3, 27) < 1.0, one-way ANOVA]. However, standard kilocalorie intake during preexposure increased during preexposure in the groups receiving comfort food compared with chow controls, F(1, 27) = 41.58, P < 0.00001, two-way ANOVA). A similar analysis during stress showed main effects of both comfort food, F(1, 27) = 11.67, P < 0.005); and stress, F(1, 27) = 67.24, P < 0.00001 on standard kilocalorie intake. Stress reduced, and comfort food increased, standard kilocalorie intake. Tukeys HSD testing showed that (+) ate more than R(+), which ate more than () and R() groups, all PHSD < 0.05.
Standard kilocalories from chow.
Because it has been established that chow intake did not differ between groups during the baseline (see above), daily standard chow intakes were obtained from mean multiday blocks of data: the last 2 d of preexposure, and the first 4 d of stress. A three-way ANOVA (stress x food x treatment) showed a decrease in chow intake as a consequence of comfort food intake, F(1, 27) = 179.86, P < 0.00001; and a stress x treatment interaction, such that restraint additionally reduced intake of standard kilocalories in chow, F(1, 27) = 16.12, P < 0.0005.
Standard kilocalories from sucrose and lard
Kilocalories/100 g body weight from sucrose were computed for groups eating comfort food, and a two-way ANOVA (stress x treatment) showed no effects on mean standard intake of kilocalories from sucrose, all F(1, 13) < 3.82, P > 0.05. Standard kilocalories from lard were computed for groups eating comfort food, and a two-way ANOVA (stress x treatment) showed no effects on mean standard lard intake, all F(1, 13) < 1.87, P > 0.05.
Percentage of daily intake of total standard kilocalories as comfort food (Fig. 3
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To control for differences in body weight, the percentage of daily total standard kilocalories ingested as comfort food was determined. A two-way mixed ANOVA (group x treatment) showed a group x treatment interaction, F(1, 13) = 5.95, P < 0.05. Planned comparisons showed no differences in percentage of kilocalories as comfort food before stress between groups, F(1, 13) < 1.0. During stress, the restrained group R(+) increased its percentage of intake as comfort food, F(1, 13) = 15.72, P < 0.002; whereas the unrestrained group eating comfort food (+) did not, F(1, 13) < 1.0.
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= 0.017). Reduced ACTH responses occurred on restraint 3 compared with restraint 1, t(14) = 4.07, P = 0.001; and restraint 5, t(14) = 3.22, P = 0.006; whereas no difference was found between restraints 1 and 5, t(14) = 0.67, P > 0.17.
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= 0.017), and showed a reduced B response on restraint 3 compared with restraint 1, t(14) = 4.03, P = 0.002; and restraint 5, t(14) = 4.94, P = 0.0001; whereas no difference was found between restraints 1 and 5, t(14) < 1.0. To test our specific directional hypothesis that comfort food reduces B responses, one-tailed t tests were conducted between groups. Comfort food failed to reduce B responses on restraint 1, t(13) < 1.0; showed an insignificant reduction in B on restraint 3, t(13) = 1.35, P = 0.10; and showed a significant reduction in B on restraint 5, t(13) = 2.33, P < 0.05.
T.
To test the effects of comfort food on the T response to restraint, AUC were calculated for the response of T to restraint. A one-way ANOVA showed no differences between groups, F(1, 13) < 1.0 (data not shown).
Insulin.
To test for differences in insulin, trunk blood from the decapitation was compared across all groups. A two-way ANOVA showed that comfort food increased insulin concentrations, F(1, 27) = 4.20, P = 0.05 (data not shown).
Leptin.
To test for differences in leptin, trunk blood from the decapitation was compared across all groups. A two-way ANOVA showed that comfort food increased leptin concentrations, F(1, 27) = 43.62, P = 0.0001 (data not shown).
CRF mRNA (Fig. 8
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To test for differences in CRF mRNA mean density, a two-way (food x stress) ANOVA was conducted, and there was no main effect of stress, F(1, 26) < 1.0; but there was a main effect of food, F (1, 26) = 4.62, P < 0.05; and trend toward a food x stress interaction, F(1, 26) = 3.92, P = 0.058. Planned, one-tailed t tests showed a significant reduction in mean density in the unrestrained group eating comfort food compared with the unrestrained group not eating comfort food, t(13) = 2.19, P < 0.05; but no differences in CRF mRNA between stressed animals, t(13) < 1.0.
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| Discussion |
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As is typical for male rats, restraint reduced, whereas comfort food increased ponderal growth. Diet-induced changes in growth rate are common, and it has been suggested that palatability is a key factor determining control over an apparently sliding set-point of defended growth rate (40). The change in body weight almost certainly resulted primarily from decreased caloric intake, which in repeatedly restrained rats in this paradigm is blocked by injection of a CRF receptor antagonist into the 3rd brain ventricle (41). In addition, comfort food increased all fat depots measured (eWAT, prWAT, scWAT, mWAT), compared with chow-only groups. There was a general increase in fat depot weights, but there were no obvious differences in fat distribution between depots among the groups. Increases in fat depot weights after eating comfort food were paralleled by increases in circulating leptin and insulin. Among all of these variables, there were no apparent interactions between stress and eating comfort food. It is parsimonious to assume that decreased feeding in response to stress reflects an adaptive, defensive anorexia driven by central CRF-mediated stress pathways, whereas the palatability or energy density increased total caloric intake, increasing circulating leptin and insulin, and ponderal growth.
Feedforward effects of stress
With respect to the drive induction hypothesis (1), the data indicated a stress-induced increase in preferences for comfort food. During baseline preexposure to the comfort foods, there were no differences in intake of lard or sugar; whereas during the period of stressor application, only the stressed animals increased the proportion of calories consumed as comfort food. Essentially, stressed rats inhibited chow intake, while defending levels of comfort food intake. Consequently, the proportion of calories eaten as comfort increased during stress. This is consistent with our model that stress centrally drives both adaptive anorexia [e.g. fewer meals (20)] and incentive salience (larger or more energy-dense meals), and our specific hypothesis that the stress response increases comfort food eating. A previous experiment in ADX rats replaced with B and exposed to chronic cold, with or without sucrose, showed similar resultsin the presence of cold and high, but not normal B, the proportion of sucrose calories as a percentage of total calories increased, although total caloric intake did not, and all stressed rats gained less weight (42). This is also consistent with the findings that ADX rats given B replacement dose-dependently increase intake of saccharin (3), sucrose (42), and fat (1, 43).
Our findings are at odds with the "anhedonia hypothesis" of chronic stress, which suggests that chronic stress reduces drive on appetitive activity (9, 44, 45). Although, chronic variable stress paradigms often decrease consumption of a weak sucrose solution, which has been attributed to stress-induced anhedonia (9, 44, 45), results from such studies vary (46, 47), and the concentrations of the sucrose solutions are low (e.g. 12%), having little taste or metabolic impact. Reductions in sucrose intake may not obtain at higher concentrations. In fact, on progressive ratio schedules, chronic mild stress increases rather decreases breakpoints for sweets, especially as concentrations increase, contrary to the anhedonia hypothesis (48, 49).
Feedback effects of feeding
Concerning our second drive reduction hypothesis regarding the protective effects of comfort food, the results were intriguing. ACTH and B responses were evident during the first restraint, showed significant habituation by d 3, and were dishabituated by the additional heterotypic stressor of shaking on the final day, as expected. Contrary to previous reports showing increases in basal and stress-induced ACTH and B responses consequent to high fat dieting (10), comfort food eating tended to reduce stress hormone responses relative to chow-only controls in this study. AUCs for the response to stress were calculated on 3 different days, and animals eating lard and sugar showed lower responses to restraint. The dampening of the ACTH response by comfort food was statistically significant on restraint days 1 and 3, and ACTH was lower on restraint 5 after dishabituation by novel stress, as well.
A similar comfort food-induced dampening of the B response also occurred on the third and fifth days of restraint. An insignificant reduction in B responses was seen on d 3 of stress, and a significant decrease was seen on d 5. Although there was some indication that basal B levels rose across days of stress for comfort food eaters, basal ACTH did not increase, suggesting that the increase in B was not a result of HPA activation. Basal increases in B might have resulted from increased enzyme activity concomitant with fat accumulation, although this effect was not seen in basal samples of the unstressed controls eating comfort food. It is possible that significant decreases in B responses resulted from slight increases in basal B levels. Together, the ACTH and B findings suggest that comfort food ingestion may, in fact, result in inhibition of stress responses and that whereas the ACTH drive may be centrally mediated, the origins of reductions in B remain more obscure.
Finally, there was reduction in CRF mRNA in the unstressed group eating comfort food compared with chow-eating controls. These data are consistent with similar findings in sucrose-drinking rats (2) and rats susceptible to diet-induced obesity (50), and this data support the metabolic feedback hypothesis that comfort food has drive-reducing properties. The failure to find differences in stressed animals may be addressed by several lines of reasoning. First, the brains were taken after a novel, heterotypic stress (i.e. restraint + the shaker table), which may have voided potential differences between stressed animals. Different results might have obtained if brains were taken after the final homotypic stress on d 1 or 3, when differences in ACTH were evident. Alternatively, the restrained groups did not show a greater CRF response than the unrestrained controls, suggesting that PVN CRF mRNA had rather habituated to repeated stress, as has been previously reported (51), suggesting a scenario in which arginine vasopressin mediated the dishabituation in the HPA axis.
Comfort food also increased caloric efficiency in the stressed, but not unstressed, group. Whereas the stressed group eating chow showed negative caloric efficiency, the stressed group allowed sucrose and lard were in positive caloric balance. This effect was stress dependent because the basal group eating comfort food was not more calorically efficient than the basal group eating chow. This finding parallels results found in a similar study that showed high-energy diets increased fuel efficiency only after stress, whereas chow did not or instead decreased efficiency (7). The same group has shown that animals susceptible to diet-induced obesity exhibit reduced basal CRF mRNA in the PVN, relative to lean controls (50), and also have reduced central and peripheral responses to PVN infusions of NE, and altered
-2 receptor numbers in hypothalamus (4). These findings accord with our data here and in basal rats drinking sucrose (2), and this suggests that comfort food may reduce activity in preautonomic regions controlling sympathetic outflow, a potential indication of the protective effects of eating comfort food during stress.
Minimally, our results fail to support the alternative hypothesis suggested by other studies that comfort food increases centrally driven stress responses (10). One reason for differing results may have to do with the exact types of diets available in different studies. Different macronutrients, e.g. sucrose vs. lard, could have different effects on HPA, although the evidence is not clear on this point. In addition, rats show intrinsic preferences for different types of high-energy foods. Violating their preferences may have consequences on ingestion and metabolism. These interpretations are not supported here, because although animals were free to choose any combination of lard, sucrose, or chow, groups ate approximately equal calories from sucrose and fat. Presently, there is no clear reason for the differing results.
Although there are many intriguing associations in humans between stress, obesity, and eating, interpreting associations between stress and eating in human studies can be difficult, based on potential ex post facto errors (nonrandom assignment to obesity conditions), ethical constraints on stressor severity or duration, performance issues under unusual experimental circumstances, and confounded issues of feeling better through feeding and body-image dissatisfaction (52). Nonetheless, experimental studies have shown a relationship between negative mood and eating of sweets in women, and increased palatable intake only on days when stress was experimentally induced (34, 36, 53). In terms of protective functions, other studies have shown that women categorized as viscerally obese exhibited habituation to repeated stressors, whereas lean counterparts did not. There are similar findings in rats (50). Thus, some evidence from human studies is available to support the validity of the animal model and the working hypothesis in terms of both the drive-inducing effects of stress and the stress-reducing effects of eating.
It is not clear how stress induces or maintains relatively higher incentive salience for palatable foods compared with chow. One mechanism could include involvement of catecholamine systems. GCs decrease dopamine and norepinephrine transporter activity and consequently increase signaling by these transmitters (54, 55), which could increase or protect the drive to engage in more rewarding or preferred activities that may be competing with defensive responses. Stress can also potentiate opioid signaling (56), which can engender longer bouts of engagement in palatable feeding (57, 58).
It is also unclear what signal resulting from palatable feeding produces inhibitory feedback on networks driving HPA responsiveness. Previous studies indicate that the signal is a peripheral metabolic signal, rather than a direct effect of GCs in the brain. In ADX rats, both sucrose and low replacement levels of GCs normalize the metabolic derangements of ADX, and attenuate activity in rate-limiting enzymes for catecholamine synthesis in nucleus of the solitary tract and locus coeruleus. Furthermore, PVN CRF mRNA is inversely related to sucrose intake (2). In contrast, chronic central infusions of GCs enhance stress responsiveness and result in excitatory feedback on various nodes of central stress response networks (24, 59, 60), suggesting that it is a peripheral, metabolic effect of GC s that provide inhibitory feedback on the brain (6). Because PVN CRF mRNA is also inversely correlated to mWAT, and because GCs preferentially induce fat accumulation in this depot, which has preferential access to portal circulation and appears to be a more labile depot, it has been suggested that the peripheral inhibitory signal on the brain may come from accumulation in this fat depot, with consequent effects on the liver (1). Although, we did not find a preferential increase in mWAT, but rather a general increase in all depots, the signal might still arise from this depot. However, it is also possible that general increases in WAT increase leptin levels, which may serve as an inhibitory signal on neuroendocrine motor neurons (61).
In conclusion, we have recently proposed a simple working hypothesis of chronic stress that attempts to account for the feedforward effects of chronic stress on incentive motivation, as well as the role of metabolic feedback on inhibition (or disinhibition after ADX or starvation) of central stress networks (1). The present results showed that, in rats, stress increased comfort food eating, and comfort foods, in turn, reduced stress output, consistent with this general working hypothesis that predicts that comfort food eating is an adaptive, coping response to stress, involving both drive induction and reduction mechanisms. The extent to which these effects generalize to specific macronutrients, occur over differing periods of dieting or stress, apply to different species or sexes, interact with defensive repertoires, and the proximate mechanisms by which these things occur are some of many questions remaining to be answered.
| Footnotes |
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Current affiliation for A.B.: Department of Surgery, University of California San Francisco, San Francisco, California 94143-0660.
Abbreviations: ADX, Adrenalectomy; AUC, area under the response curve; CRF, corticotropin-releasing factor; eWAT, epididymal WAT; GC, glucocorticoid; HPA, hypothalamic-pituitary-adrenal; HSD, honestly significance difference; mWAT, mesenteric WAT; prWAT, perirenal WAT; PVN, paraventricular nucleus; SSC, saline sodium citrate; T, testosterone; WAT, white adipose tissue.
Received March 9, 2004.
Accepted for publication May 3, 2004.
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