Abnormalities of Energy Expenditure and the Development of Obesity

The role of energy expenditure in the development of obesity remains unclear. This issue is examined using data from prospective studies of energy expenditure and obesity, the effects of overfeeding and diet composition on energy expenditure, and studies of the relationship between energy expenditure for physical activity and body composition. The combined results from these investigations strongly support the view that low energy expenditure can facilitate rapid weight gain in susceptible individuals. It is speculated that, in susceptible individuals, low energy expenditure for resting energy expenditure as well as physical activity are part of a range of mechanisms available for providing surplus energy for rapid weight gain. In addition, both cross-sectional and intervention studies indicate that there is an equilibration between the level of energy expenditure for physical activity and body fat content. While genetic and other factors clearly play an important role in this relationship, it appears that a modest reduction in body fat content can be achieved by increasing energy expenditure for physical activity in physical exercise programs.     

Effect of moderate physical activity on plasma leptin concentration in humans

In subjects who maintain a constant body mass, the increased energy expenditure induced by exercise must be compensated by a similar increase in energy intake. Since leptin has been shown to decrease food intake in animals, it can be expected that physical exercise would increase energy intake by lowering plasma leptin concentrations. This effect may be secondary either to exercise-induced negative energy balance or to other effects of exercise. To delineate the effects of moderate physical activity on plasma leptin concentrations, 11 healthy lean subjects (4 men, 7 women) were studied on three occasions over 3 days; in study 1 they consumed an isoenergetic diet (1.3 times resting energy expenditure) over 3 days with no physical activity; in study 2 the subjects received the same diet as in study 1, but they exercised twice daily during the 3 days (cycling at 60 W for 30 min); in study 3 the subjects exercised twice daily during the 3 days, and their energy intake was increased by 18% to cover the extra energy expenditure induced by the physical activity. Fasting plasma leptin concentration (measured on the morning of day 4) was unaltered by exercise [8.64 (SEM 2.22) 7.17 (SEM 1.66), 7.33 (SEM 1.72) 1 microg x l(-1) in studies 1, 2 and 3, respectively]. It was concluded that a moderate physical activity performed over a 3-day period does not alter plasma leptin concentrations, even when energy balance is slightly negative. This argues against a direct effect of physical exercise on plasma leptin concentrations, when body composition is unaltered.     

长期强迫运动对大绒鼠体重、能量代谢和血清瘦素的影响

动物稳定体重的维持需要能量摄入和消耗之间的平衡。运动是影响动物能量平衡的重要因素之一。为了解运动对大绒鼠(Eothenomys miletus)的生理学效应,在室内条件下,测定了强迫运动训练(运用小鼠封闭跑台)8周后大绒鼠的体重、代谢率、摄入能、血清瘦素和身体组成的变化。结果显示,强迫运动训练8周对大绒鼠的体重无显著影响;大绒鼠的代谢率和摄入能均显著增加,训练8周后静止代谢率较对照组增加了29.9%,运动最大代谢率较对照组增加了10.7%;强迫运动训练8周组的身体脂肪重量比对照组降低了28.9%,血清瘦素水平比对照组下降了27.4%,对照组的瘦素与体脂含量具有明显的相关性,但运动组则不具有相关性;运动组的肝重量和消化道重量较对照组均显著增加;而体水重量则显著降低。这些结果表明,在强迫运动训练期间大绒鼠主要通过动员储存的脂肪、增加代谢率和食物摄入的方式来维持自身的体重及能量平衡。瘦素在长期强迫运动过程中对身体脂肪含量的变化具有调节作用。     

The role of exercise in thermogenesis and energy balance

The role of exercise training in energy balance has been reviewed. Recent well-conducted studies showed that exercise may increase energy expenditure not only during the period of exercise itself but during the postexercise period as well. This notion of excess postexercise oxygen consumption (EPOC), which has been a controversial issue for many years, is now becoming a generally well-accepted concept, the consensus being that EPOC takes place following prolonged and strenuous exercise bouts. Besides, the role of EPOC in long-term energy balance remains to be determined. Long-term energy balance studies carried out in rats show that exercise affects energy balance by altering food intake and promoting energy expenditure. In male rats exercise causes a marked decrease in energy intake which contributes, in association with the expenditure of exercise itself, to retard lean and fat tissue growth. From the suppressed deposition of lean body mass, decreases in basal metabolic rate can be predicted in males. In female rats, exercise does not affect food intake; the lower energy gain of exercise-trained females results from the elevated expenditure rate associated with exercise itself. In both male and female rats, there is no evidence that exercise training affects energy expenditure other than during exercise itself unless the habitual feeding pattern of the rats is radically modified. The interactive effects of diet and exercise, which have to be further investigated in long-term energy balance, emerge as a promising area of research.     

Separate and combined effects of exercise training and weight loss on exercise efficiency and substrate oxidation

Perturbations in body weight have been shown to affect energy expenditure and efficiency during physical activity. The separate effects of weight loss and exercise training on exercise efficiency or the proportion of energy derived from fat oxidation during physical activity, however, are not known. The purpose of this study was to determine the separate and combined effects of exercise training and weight loss on metabolic efficiency, economy (EC), and fat oxidation during steady-state moderate submaximal exercise. Sixty-four sedentary older (67 +/- 0.5 yr) overweight to obese (30.7 +/- 0.4 kg/m(2)) volunteers completed 4 mo of either diet-induced weight loss (WL; n = 11), exercise training (EX; n = 36), or the combination of both interventions (WLEX; n = 17). Energy expenditure, gross efficiency (GE), EC, and proportion of energy expended from fat (EF) were determined during a 1-h submaximal (50% of peak aerobic capacity) cycle ergometry exercise before the intervention and at the same absolute work rate after the intervention. We found that EX increased GE by 4.7 +/- 2.2%. EC was similarly increased by 4.2 +/- 2.1% by EX. The addition of concomitant WL to EX (WLEX) resulted in greater increases in GE (9.0 +/- 3.3%) compared with WL alone but not compared with EX alone. These effects remained after adjusting for changes in lean body mass. The proportion of energy derived from fat during the bout of moderate exercise increased with EX and WLEX but not with WL. From these findings, we conclude that exercise training, either alone or in combination with weight loss, increases both exercise efficiency and the utilization of fat during moderate physical activity in previously sedentary, obese older adults. Weight loss alone, however, significantly improves neither efficiency nor utilization of fat during exercise.     

Modeling Energy Dynamics in Mice with Skeletal Muscle Hypertrophy Fed High Calorie Diets

Retrospective and prospective studies show that lean mass or strength is positively associated with metabolic health. Mice deficient in myostatin, a growth factor that negatively regulates skeletal muscle mass, have increased muscle and body weights and are resistant to diet-induced obesity. Their leanness is often attributed to higher energy expenditure in the face of normal food intake. However, even obese animals have an increase in energy expenditure compared to normal weight animals suggesting this is an incomplete explanation. We have previously developed a computational model to estimate energy output, fat oxidation and respiratory quotient from food intake and body composition measurements to more accurately account for changes in body composition in rodents over time. Here we use this approach to understand the dynamic changes in energy output, intake, fat oxidation and respiratory quotient in muscular mice carrying a dominant negative activin receptor IIB expressed specifically in muscle. We found that muscular mice had higher food intake and higher energy output when fed either chow or a high-fat diet for 15 weeks compared to WT mice. Transgenic mice also matched their rate of fat oxidation to the rate of fat consumed better than WT mice. Surprisingly, when given a choice between high-fat diet and Ensure® drink, transgenic mice consumed relatively more calories from Ensure® than from the high-fat diet despite similar caloric intake to WT mice. When switching back and forth between diets, transgenic mice adjusted their intake more rapidly than WT to restore normal caloric intake. Our results show that mice with myostatin inhibition in muscle are better at adjusting energy intake and output on diets of different macronutrient composition than WT mice to maintain energy balance and resist weight gain.     

Quantitative analysis of the energy requirements for development of obesity

OBJECTIVE: Obesity is typically developed over long time and reflected in an energy imbalance, which is too small to be measured and controlled. Our objective is to formulate a mathematical model for the relation between the change in body mass and the values of the energy intake and the energy expenditure, controlled by the physical activity factor PAF. DATA AND THEORY: The uncontrolled components of energy expenditure increases as result of body mass increase: expenditure of a larger mass and expenditure to convert matter in intake into tissue. Both contributions depend on the fraction of fat in the added tissue. Based on data from the literature, the fraction of fat in added tissue and the energy required to convert energy into tissue are estimated and included in the model. RESULTS: Application of the theory shows that an increase in body mass of 1 kg/year corresponds to an energy imbalance of 71 kJ/d for men. Of this imbalance, 82% are stored as new tissue, while 18% are used for energy conversion. If a man in steady state changes energy intake by 0.1 MJ/d, keeping the physical activity factor constant, then the corresponding increase in steady-state body mass is 1.77 kg/PAF, and it will take 320/PAF days before half the change of body mass has taken place. A typical value for PAF is 1.8. CONCLUSION: Energy-based theoretical relations between the various factors involved in energy balance help identifying and quantifying the components of the energy balance and understanding their relations during development of obesity. The inclusion of increased energy expenditure to convert food energy to tissue changes previous estimates of the energy imbalance by about 20 percent.     

Peptides that regulate food intake: antagonism of opioid receptors reduces body fat in obese rats by decreasing food intake and stimulating lipid utilization

Agonists to opioid receptors induce a positive energy balance, whereas antagonists at these receptors reduce food intake and body weight in rodent models of obesity. An analog of 3,4-dimethyl-4-(3-hydroxyphenyl)piperidine, LY255582, is a potent non-morphinan antagonist for mu-, kappa-, and delta-receptors (K(i) of 0.4, 2.0, and 5.2 nM, respectively). In the present study, we examined the effects of oral LY255582 treatment on caloric intake, calorie expenditure, and body composition in dietary-induced obese rats. Acute oral treatment of LY255582 produced a dose-dependent decrease in energy intake and respiratory quotient (RQ), which correlated with the occupancy of central opioid receptors. Animals receiving chronic oral treatment with LY255582 for 14 days maintained a negative energy balance that was sustained by increased lipid use. Analysis of body composition revealed a reduction in fat mass accretion, with no change in lean body mass, in animals treated with LY255582. Therefore, chronic treatment with LY255582 reduces adipose tissue mass by reducing energy intake and stimulating lipid use.     

Effects of dietary protein content on IGF-I, testosterone, and body composition during 8 days of severe energy deficit and arduous physical activity.

Energy restriction coupled with high energy expenditure from arduous work is associated with an altered insulin-like growth factor-I (IGF-I) system and androgens that are coincident with losses of fat-free mass. The aim of this study was to determine the effects of two levels of dietary protein content and its effects on IGF-I, androgens, and losses of fat-free mass accompanying energy deficit. We hypothesized that higher dietary protein content would attenuate the decline of anabolic hormones and, thus, prevent losses of fat-free mass. Thirty-four men [24 (SD 0.3) yr, 180.1 (SD 1.1) cm, and 83.0 (SD 1.4) kg] participated in an 8-day military exercise characterized by high energy expenditure (16.5 MJ/day), low energy intake (6.5 MJ/day), and sleep deprivation (4 h/24 h) and were randomly divided into two dietary groups: 0.9 and 0.5 g/kg dietary protein intake. IGF-I system analytes, androgens, and body composition were assessed before and on days 4 and 8 of the intervention. Total, free, and nonternary IGF-I and testosterone declined 50%, 64%, 55%, and 45%, respectively, with similar reductions in both groups. There was, however, a diet x time interaction on day 8 for total IGF-I and sex hormone-binding globulin. Decreases in body mass (3.2 kg), fat-free mass (1.2 kg), fat mass (2.0 kg), and percent body fat (1.5%) were similar in both groups (P = 0.01). Dietary protein content of 0.5 and 0.9 g/kg minimally attenuated the decline of IGF-I, the androgenic system, and fat-free mass during 8 days of negative energy balance associated with high energy expenditure and low energy intake.     

Predicting changes of body weight, body fat, energy expenditure and metabolic fuel selection in C57BL/6 mice

The mouse is an important model organism for investigating the molecular mechanisms of body weight regulation, but a quantitative understanding of mouse energy metabolism remains lacking. Therefore, we created a mathematical model of mouse energy metabolism to predict dynamic changes of body weight, body fat, energy expenditure, and metabolic fuel selection. Based on the principle of energy balance, we constructed ordinary differential equations representing the dynamics of body fat mass (FM) and fat-free mass (FFM) as a function of dietary intake and energy expenditure (EE). The EE model included the cost of tissue deposition, physical activity, diet-induced thermogenesis, and the influence of FM and FFM on metabolic rate. The model was calibrated using previously published data and validated by comparing its predictions to measurements in five groups of male C57/BL6 mice (N = 30) provided ad libitum access to either chow or high fat diets for varying time periods. The mathematical model accurately predicted the observed body weight and FM changes. Physical activity was predicted to decrease immediately upon switching from the chow to the high fat diet and the model coefficients relating EE to FM and FFM agreed with previous independent estimates. Metabolic fuel selection was predicted to depend on a complex interplay between diet composition, the degree of energy imbalance, and body composition. This is the first validated mathematical model of mouse energy metabolism and it provides a quantitative framework for investigating energy balance relationships in mouse models of obesity and diabetes.     

限制能量平衡膳食联合运动干预对肥胖儿童身体成分、脂质代谢及肠道菌群的影响

摘要 目的：观察限制能量平衡膳食联合运动干预对肥胖儿童身体成分、脂质代谢及肠道菌群的影响。方法：选取2020年4月至2022年10月期间浙江大学医学院附属儿童医院收治的肥胖儿童104例作为研究对象。按照随机数字表法将肥胖儿童分为对照组（n=52,限制能量平衡膳食）和观察组（n=52,限制能量平衡膳食联合运动干预）。对比两组身体成分、脂质代谢及肠道菌群变化情况。结果：观察组干预2个月后体重、体质量指数（BMI）、去脂体重、脂肪量、体脂率低于对照组（P<0.05）。观察组干预2个月后总胆固醇（TC）、甘油三酯（TG）、低密度脂蛋白胆固醇（LDL-C）低于对照组;高密度脂蛋白胆固醇（HDL-C）高于对照组（P<0.05）。观察组干预2个月后肠球菌、大肠杆菌低于对照组;乳杆菌、双歧杆菌高于对照组（P<0.05）。结论：限制能量平衡膳食联合运动干预可有效改善肥胖儿童身体成分,调节脂质代谢及肠道菌群平衡。     

Indirect calorimetry in laboratory mice and rats: principles, practical considerations, interpretation and perspectives

In this article, we review some fundamentals of indirect calorimetry in mice and rats, and open the discussion on several debated aspects of the configuration and tuning of indirect calorimeters. On the particularly contested issue of adjustment of energy expenditure values for body size and body composition, we discuss several of the most used methods and their results when tested on a previously published set of data. We conclude that neither body weight (BW), exponents of BW, nor lean body mass (LBM) are sufficient. The best method involves fitting both LBM and fat mass (FM) as independent variables; for low sample sizes, the model LBM + 0.2 FM can be very effective. We also question the common calorimetry design that consists of measuring respiratory exchanges under free-feeding conditions in several cages simultaneously. This imposes large intervals between measures, and generally limits data analysis to mean 24 h or day-night values of energy expenditure. These are then generally compared with energy intake. However, we consider that, among other limitations, the measurements of Vo(2), Vco(2), and food intake are not precise enough to allow calculation of energy balance in the small 2-5% range that can induce significant long-term alterations of energy balance. In contrast, we suggest that it is necessary to work under conditions in which temperature is set at thermoneutrality, food intake totally controlled, activity precisely measured, and data acquisition performed at very high frequency to give access to the part of the respiratory exchanges that are due to activity. In these conditions, it is possible to quantify basal energy expenditure, energy expenditure associated with muscular work, and response to feeding or to any other metabolic challenge. This reveals defects in the control of energy metabolism that cannot be observed from measurements of total energy expenditure in free feeding individuals.     

Inactivation of PKCtheta leads to increased susceptibility to obesity and dietary insulin resistance in mice

In this study, we investigated the metabolic phenotype of PKCtheta knockout mice (C57BL/6J) on chow diet and high-fat diet (HFD). The knockout (KO) mice are normal in growth and reproduction. On the chow diet, body weight and food intake were not changed in the KO mice; however, body fat content was increased with a corresponding decrease in body lean mass. Energy expenditure and spontaneous physical activity were decreased in the KO mice. On HFD, energy expenditure and physical activity remained low in the KO mice. The body weight and fat content were increased rapidly in the KO mice. At 8 wk on HFD, severe insulin resistance was detected in the KO mice with hyperinsulinemic euglycemic clamp and insulin tolerance test. Insulin action in both hepatic and peripheral tissues was reduced in the KO mice. Plamsa free fatty acid was increased, and expression of adiponectin in the adipose tissue was decreased, in the KO mice on HFD. This study suggests that loss of PKCtheta reduces energy expenditure and increases the risk of dietary obesity and insulin resistance in mice.     

Use of balance methods for assessment of short-term changes in body composition

Balance methods reveal changes in body energy, nitrogen, macro‐ and micronutrients as well as fluid in response to different feeding regimens. Under metabolic ward conditions, where physical activity is restricted and activity and food intake are controlled, the errors of estimates of energy intake, energy expenditure, and energy losses are about 2, 4, and 2%, respectively. Balance techniques can be used to validate techniques of in vivo body composition analysis (BCA). This is necessary since immediate and transient changes in body composition in response to a change in diet adversely affect the validity of techniques by violating the assumptions underlying standard methods (i.e., a constant composition or hydration of lean mass). Using two compartment reference methods, like densitometry, dual X‐ray absorptiometry (DXA) or deuterium dilution, changes in fat mass with caloric restriction and overfeeding can be measured with a minimal detectable change (MDC) of 1.0–2.0 kg. However, when compared against balance data, the validity of these techniques to measure short‐term changes in body composition is poor. The noninvasive and rapid new quantitative magnetic resonance (QMR) technique has a high precision with a MDC of 0.18 kg of fat mass. The validity of QMR to assess short‐term changes in fat mass is challenged by comparison to balance data. Today, techniques used for in vivo BCA should be related to steady state conditions only, while in the nonsteady state, the use of balance methods is recommended to assess short‐term changes in body composition.     

Modulatory role of food, feeding regime and physical exercise on body weight and insulin resistance

Energy intake and expenditure is a highly conserved and well-controlled system with a bias toward energy intake. In times of abundant food supply, individuals tend to overeat and in consequence to increase body weight, sometimes to the point of clinical obesity. Obesity is a disease that is not only characterized by enormous body weight but also by rising morbidity for diabetes type II and cardiovascular complications. To better understand the critical factors contributing to obesity we performed the present study in which the effects of energy expenditure and energy intake were examined with respect to body weight, localization of fat and insulin resistance in normal Wistar rats. It was found that a diet rich in fat and carbohydrates similar to "fast food" (cafeteria diet) has pronounced implication in the development of obesity, leading to significant body weight gain, fat deposition and also insulin resistance. Furthermore, an irregularly presented cafeteria diet (yoyo diet) has similar effects on body weight and fat deposition. However, these rats were not resistant to insulin, but showed an increased insulin secretion in response to glucose. When rats were fed with a specified high fat/carbohydrate diet (10% fat, 56.7% carbohydrate) ad lib or at the beginning of their activity phase they were able to detect the energy content of the food and compensate this by a lower intake. They, however, failed to compensate when food was given in the resting phase and gained more body weight as controls. Exercise, even of short duration, was able to keep rats on lower body weight and reduced fat deposition. Thus, inappropriate food intake with different levels of energy content is able to induce obesity in normal rats with additional metabolic changes that can be also observed in humans.     

Effects of 2G exposure on lean and genetically obese Zucker rats

Changes in the ambient force environment alter the regulation of adiposity, food intake and energy expenditure (i.e., energy balance). Lean (Fa/Fa) and obese (fa/fa) male Zucker rats were exposed to 2G (twice Earth's normal gravity) for eight weeks via centrifugation to test the hypothesis that the Fa/Fa rats recover to a greater degree from the effects of an increased ambient force environment on body mass and food intake, than do the fa/fa rats which have a dysfunctional leptin regulatory system. The rats (lean and obese exposed to either 1G or 2G) were individually housed in standard vivarium cages with food and water provided ad libitum. The acute response to 2G included a transient hypophagia accompanied by decreased body mass, followed by recovery of feeding to new steady-states. In the lean rats, body mass-independent food intake had returned to 1G control levels six weeks after the onset of centrifugation, and body mass increased towards that of the 1G rats. In contrast, food intake and body mass of the 2G obese rats plateaued at a level lower than that of the 1G controls. Although percent carcass fat was reduced more in the 2G leans vs. 2G obese rats, the latter lost significantly more grams of fat than did the leans. Our data suggest that with respect to food intake and body mass, the lean rats recover from the initial effects of 2G exposure to a greater degree than do the fatty rats, a difference that likely reflects the functionality of the leptin regulatory system in the leans.     

The energetics of obesity

Although there is little argument about the state of energy imbalance that produces weight gain, there is considerable argument about the respective role of genetics, diet and physical activity in achieving obesity. In the USA, obesity has increased in the last decades despite a concomitant decrease in total energy and fat intake suggesting that there has been a dramatic drop in total energy expenditure. In this review, we investigated the respective role of resting metabolic rate, post-prandial thermogenesis, and activity energy expenditure in this lower energy output, and provided evidence that physical inactivity is the major contributor. Based on Jean Mayer original observation (Mayer et al., 1954), we hypothesize that there is a level of physical activity below which mechanisms of body mass regulation are impaired. The increasing prevalence of obesity may reflect the fact the majority of the population has fallen below such a level of physical activity. However, a causal relation between physical inactivity and obesity is still difficult to prove, probably because of the lack of longitudinal models to investigate the physiological consequences of inactivity and because the deleterious consequences of sedentary behaviors are essentially deduced from the benefits of exercise training. By using long term strict bed rest as a unique model of inactivity, we provide evidence that inactivity per se indeed disrupts fuel homeostasis and partitions post-absorptive and post-prandial fat use towards storage, thus promoting weight gain in the long term. More research is needed to investigate mechanisms and to determine the minimal physical activity our body has been engineered for by evolution.     

Impact of Interviewer's Body Mass Index on Underreporting Energy Intake in Overweight and Obese Women

Objective: To determine if overweight and obese women provide more accurate reports of their energy intake by 1) in‐person recall with an obese interviewer, 2) in‐person recall with a lean interviewer, or 3) telephone recall with an unknown interviewer. Research Methods and Procedures: Eighty‐eight overweight and obese women participated in this study. Subjects completed one telephone‐administered multiple‐pass 24‐hour recall (MP24R) with an unknown interviewer and were then randomly assigned to an in‐person MP24R with either a lean or obese interviewer to gather reported energy intake (rEI). Basal metabolic rate (BMR) was measured using a Deltrac monitor, and physical activity (EEPA) was estimated using a Caltrac accelerometer. Therefore, estimated energy expenditure was determined by: estTEE = (BMR + EEPA) × 1.10. Results: No significant differences were found between the two in‐person interview modes for subject age, weight, body mass index, percentage of body fat, total energy expenditure, rEI, and misreporting of energy intake. In‐person recall data were combined for comparison with the telephone recalls. No significant difference was found between the in‐person and telephone recalls for rEI and misreporting. Mean reported energy intake was significantly lower than estimated total energy expenditure for the telephone recalls and combined (lean and obese modes) in‐person recalls. Conclusions: This study found that interviewer body mass index had no impact on self‐reported energy intake during an in‐person MP24R, and that telephone recall data were comparable with in‐person recalls. Underreporting was a widespread problem (～26%) for all modes in this sample.     

Computational model of in vivo human energy metabolism during semistarvation and refeeding

Changes in body weight and composition are the result of complex interactions among metabolic fluxes contributing to macronutrient balances. To better understand these interactions, a mathematical model was constructed that used the measured dietary macronutrient intake during semistarvation and refeeding as model inputs and computed whole body energy expenditure, de novo lipogenesis, and gluconeogenesis as well as turnover and oxidation of carbohydrate, fat, and protein. Published in vivo human data provided the basis for the model components that were integrated by fitting a few unknown parameters to the classic Minnesota human starvation experiment. The model simulated the measured body weight and fat mass changes during semistarvation and refeeding and predicted the unmeasured metabolic fluxes underlying the body composition changes. The resting metabolic rate matched the experimental measurements and required a model of adaptive thermogenesis. Refeeding caused an elevation of de novo lipogenesis that, along with increased fat intake, resulted in a rapid repletion and overshoot of body fat. By continuing the computer simulation with the prestarvation diet and physical activity, the original body weight and composition were eventually restored, but body fat mass was predicted to take more than one additional year to return to within 5% of its original value. The model was validated by simulating a recently published short-term caloric restriction experiment without changing the model parameters. The predicted changes in body weight, fat mass, resting metabolic rate, and nitrogen balance matched the experimental measurements, thereby providing support for the validity of the model.