Skip to content
Publicly Available Published by De Gruyter July 21, 2016

Increased GLP-1 response to oral glucose in pre-pubertal obese children

  • Cosimo Giannini , Nicoletta Pietropaoli , Nella Polidori , Francesco Chiarelli , Maria Loredana Marcovecchio and Angelika Mohn EMAIL logo

Abstract

Background:

Gastrointestinal hormones, such as glucagon-like peptide (GLP-1), have been hypothesized to play a role in the pathogenesis of obesity-related complications. However, few data are available in youth. The objective of this study was to investigate the GLP-1 response to oral glucose load in obese pre-pubertal children and its relationship with insulin secretion.

Methods:

Ten pre-pubertal obese children [five boys; 10.5±1.6 years; body mass index-standard deviation score (BMI-SDS): 2.2±0.5] and 10 controls (eight boys; 9.9±1.2 years; BMI-SDS: –0.7±0.5) underwent a modified oral glucose tolerance test (OGTT) to evaluate post-load glucose, insulin and GLP-1 responses. Insulin sensitivity [homeostasis model assessment of insulin resistance (HOMA-IR), whole body insulin sensitivity index (WBISI)] and secretion [HOMA-beta, insulinogenic index (IGI)] indexes, area under the curve (AUC) for glucose, insulin and GLP-1 were calculated.

Results:

In obese children GLP-1 AUC values were higher and correlated with BMI-SDS (r=0.45; p=0.04), HOMA-IR (r=0.53; p=0.01) and fasting glucose (r=0.68; p=0.001).

Conclusions:

Obese children showed an increased GLP-1 response to oral glucose. These changes might likely represent a compensatory mechanism to avoid post-prandial hyperglycemia and allow a normal glucose tolerance.

Introduction

Despite being a clear tendency towards a stabilization of the obesity epidemic in children and adolescents its prevalence remains higher than ever before. Around 22 million children worldwide are obese [1], [2], [3], [4], [5], representing a serious public health problem [6]. In children and adolescents obesity is associated with an increased risk of developing insulin resistance (IR) and type 2 diabetes (T2D). Impaired β-cell function has been shown to be one of the key factors in defining the risk of impaired glucose metabolism. In young adults bariatric surgery approach is an effective treatment for obesity-related comorbidities such as T2D, hypertension and dyslipidemia. Interestingly, studies have shown early resolution of T2D sometimes even within days of the surgery. These effects may be documented even prior to weight loss and therefore might be related to changes in hormonal pathways achieved early after the surgery procedure. The entero-insular axis might be postulated to be one of the major factors explaining all these metabolic changes. In fact bariatric surgery restores the impaired gastrointestinal hormones secretion related to obesity, particularly glucagon-like peptide-1 (GLP-1) concentration. GLP-1 is both a gut hormone and a neuropeptide produced by post translational processing of the pre-pro-glucagon gene. It is secreted from the L-cells in the distal gastrointestinal tract in response to food ingestion in the gut. GLP-1 levels are low before a meal and increase after a meal; it enhances glucose dependent insulin secretion, suppresses glucagon secretion and inhibits gastric emptying [7], [8]. Therefore, as GLP-1 is a main inductor of postprandial insulin secretion, it makes a significant contribution to the overall post-prandial glucose metabolism.

The role of gastrointestinal hormones and especially of GLP-1, one of the most relevant incretin hormones, in childhood obesity is poorly understood [9]. Contrasting data on GLP-1 concentrations in obese subjects have been reported. Some authors documented lower fasting GLP-1 levels and attenuated GLP-1 response to oral nutrient in obese individuals. Others also found an enhanced GLP-1 response to meal ingestion in obese humans and rats [10], [11], [12], [13], [14]. Although IR and subtle alterations of glucose metabolism might be already detected in pre-pubertal obese children, T2D is very uncommon in this age group. Although several mechanisms might be postulated, the presence of a more effective gut hormone production might be one of the possible underlining mechanisms.

Therefore, the aim of this study was to investigate the GLP-1 response to oral glucose load in obese pre-pubertal children and its relationship with insulin secretion compared to healthy matched controls.

Materials and methods

Study populations

Ten Caucasian pre-pubertal obese children [five boys and five girls; mean age (±SD): 10.5±1.6 years] and 10 normal-weight age-matched pre-pubertal controls [eight boys and two girls; mean age (±SD): 9.9±1.2 years] were enrolled in the present study. Obese children, referred to the Auxo-Endocrinology Service of the Department of Pediatrics, University of Chieti, Italy, were affected by overweight or obesity [body mass index (BMI)>85° percentile for age and sex] [15]. Normal-weight controls (BMI<85° percentile) were recruited among children referred to the Auxo-Endocrinology Service of the Department of Pediatrics, University of Chieti, Italy for occasional hyperglycemia. None of the control group showed alterations in glucose metabolism after glucose load.

For all subjects, the absence of chronic or acute disease, malnutrition and use of medications were used as inclusion criteria.

All children underwent a detailed clinical history and family history and a complete physical examination including anthropometric parameters (height and weight). All children were pre-pubertal on the basis of breast development in girls and genital development in boys according to the criteria of Tanner [16].

All subjects performed a modified oral glucose tolerance test (OGTT). Glucose, insulin and GLP-1 concentrations after glucose load were evaluated.

The study was approved by the Ethical Committee of the University of Chieti. Written informed consent was obtained from all parents and oral consent from children.

Anthropometric measurements

Body weight was measured using a standard balance with a variability of 0.1 kg, and height was determined with Harpenden taximeter to the nearest 0.1 cm. Body mass index (BMI) was calculated as the ratio between weight in kg and height in meters squared, while standard deviation score (SDS)-BMI for age and sex as the difference between the observed value and the reference mean for age and sex, divided by the corresponding standard deviation based on published normative Italian data [15].

Laboratory procedures

Modified OGTT:

Each subject was tested from 8:00 to 9:00 AM, after an overnight fast. After insertion of an intravenous catheter, blood samples were drawn for the measurement of baseline glucose and insulin levels. Thereafter subjects underwent a modified OGTT with measurement at 0, 15, 30, 60, 90, 120 min of glucose and insulin levels and with measurements at 0, 5, 10, 15, 20, 30, 60, 90, 120 min of GLP-1 levels. Blood samples were collected on ice into tubes containing dipeptidyl peptidase IV inhibitor. After centrifugation at 4 °C, plasma samples were processed into different aliquots and frozen at –70 °C until analysis.

Formula

Homeostasis model assessment of insulin resistance (HOMA-IR) was calculated by the equation fasting insulin (mU/L)×fasting glucose (mmol/L)/22.5 [17].

Whole body insulin sensitivity index (WBISI) was calculated as: {10/[fasting glycemia (mg/dL)×fasting insulin (μU/mL)×mean concentration of glucose (mg/dL)*mean concentration of insulin (μU/mL)]1/2} [17].

Homeostasis model of assessment-beta (HOMA-β) was calculated as: [20×fasting insulin (μU/mL)]/[fasting glucose (mmol/mL)–3.5] [18].

Insulinogenic index (IGI) was defined as: δ insulin 0–30 (μU/mL)/δ glucose 0–30 (mg/dL).

Area under the curve (AUC) values were determined using the trapezoidal rule and it was calculated for insulin, glycemia and GLP-1 during oral tolerance test [19].

Biochemical analysis

Plasma glucose level was determined by using the glucose oxidase method and plasma insulin was measured with a two side immunoenzymometric assay (AIAPACK IRI; Tosoh, Tokyo, Japan). The limit of detection was 0.5 mcU/mL with interassay coefficients of variation <7% for quality control.

Serum GLP-1 levels were determined with immunoenzymometric assay (Yanaihara Institute Inc., Fujinomiys-Shi Shizuoka, Japan: CV% interassay: 9.63~17.57).

Statistical analysis

The statistical analysis was performed using SPSS version 17.0 software for Windows (SPSS, Chicago, IL, USA). All data were analyzed with Kolmorgorov-Smirnov test and the date not normally distributed were log-transformed. All data were expressed as mean±SD. Differences between obese and control children were assessed by unpaired t-test. A linear regression analysis was used to evaluate the associations between variables of interest. A p-Value <0.05 was considered statistically significant.

Results

Anthropometric evaluation

Table 1 shows baseline anthropometric and demographic characteristics of obese and normal-weight pre-pubertal children. A higher prevalence of females was present in the obese group.

Table 1:

Anthropometric parameters and metabolic characteristics in obese and normal-weight pre-pubertal children.

ParametersControls (n=10)Obese (n=10)p-Valuea
Sex, male/female8/25/50.01
Age, years9.9±1.210.5±1.60.33
Weight, kg30.1±3.459.5±10.9<0.001
SDS-weight–0.6±0.51.9±0.7<0.001
Height, cm122±42142.3±5.80.16
SDS-height–0.2±0.20.1±0.90.23
BMI, kg/m216.2±1.029.2±3.8<0.001
SDS-BMI–0.7±0.52.2±0.5<0.001
Fasting glycemia, mg/dL90.1±4.994.2±12.00.26
Fasting insulin, μU/mL6.5±2.015.9±10.60.02
HOMA-IR1.4±0.43.7±2.50.02
WBISI9.3±2.74.7±2.50.002
Fasting GLP-1, ng/mL2.9±0.43.5±1.40.21
HOMA-β1.5±0.53.6±2.40.02
IGI0.6±0.44.8±3.80.007

Data are mean±standard deviation. SDS-weight, standard deviation score weight; SDS-height, standard deviation score height; BMI, body mass index. SDS-BMI, standard deviation score-body mass index; HOMA-IR, homeostasis model of assessment-insulin resistence; WBISI, whole body insulin sensitivity index; HOMA-β, homeostasis model of assessment-beta; IGI, insulinogenic index. aMann-Whitney U-test.

There were no significant differences in terms of age, height and SDS-height between the two groups. As expected, the group of obese children presented a higher weight and SDS-weight than the normal-weight group, with a higher BMI and SDS-BMI. There were no significant differences in terms of volume of glucose solution administered for the OGTT.

Modified OGTT

Table 1 shows the main metabolic parameters of study groups. Fasting glucose and insulin levels were significantly higher in obese rather than in control children. IR indexes expressed by HOMA-IR and WBISI were also significantly increased in obese children while insulin secretion indexes (HOMA-beta and IGI) were significantly lower. No differences were detected in fasting GLP-1 levels. Insulin and GLP-1 excursions during the OGTT are shown in Figure 1. Glucose excursions were not statistically different between the two groups (p<0.05). AUC for insulin and AUC for GLP-1 were significantly higher in obese subjects, as shown in Figure 1. Linear regression demonstrated a significant association between GLP-1 AUC values and BMI-SDS, HOMA-IR and fasting glycemia as shown in Table 2. No statistically significant association was found with age, sex, BMI, WBISI, HOMA-β.

Figure 1: Insulin and GLP-1 AUC values during the OGTT.
Figure 1:

Insulin and GLP-1 AUC values during the OGTT.

Table 2:

Factors associated with GLP-1 AUC during the OGTT.

AUC GLP-1 p (r)
Age0.31 (0.24)
Sex0.08 (0.40)
BMI-SDS0.04 (0.45)
Insulin AUC0.01 (0.59)
HOMA-IR0.01 (0.53)
WBISI0.13 (–0.37)
HOMA B0.14 (0.35)
Insulinogenic index0.10 (0.38)
Glucose AUC0.57 (0.14)
Fasting glycemia0.001 (0.68)

Significant values are reported in bold.

Discussion

In this study we documented in a group of obese pre-pubertal children with normal glucose tolerance the presence of significantly increased GLP-1 AUC values after an oral glucose load compared to normal-weight healthy subjects matched for age and pubertal stage. In addition GLP-1 AUC values were significantly correlated with indexes of adiposity and IR. These data suggest a potential role of GLP-1 secretion in response to oral glucose administration in the regulation of glucose homeostasis in obese pre-pubertal subjects.

In obese children, an attenuated GLP-1 response may contribute to impaired insulin response, leading to T2D [20], [21], [22]. GLP-1 may also reduce energy intake and enhance satiety, likely through the aforementioned delay of gastric emptying and specific GLP-1 receptors in the central nervous system. Its role in childhood obesity is poorly understood, with contradictory post-weight loss level changes reported in the literature [20], [21], [22], [23], [24], [25], [26], [27]. In an intervention study in obese children, fasting GLP-1 concentrations were shown to be independent of age, sex and pubertal stage. In addition, although GLP-1 did not differ between lean and obese children at baseline, weight loss was associated with decreasing GLP-1 which in turn correlated with decreases in insulin levels and IR index scores [25]. Similarly to previous studies, in our study we did not find significant differences in terms of GLP-1 levels between obese and control subjects. These effects may be related to normal glucose status of the study population evaluated in our study, while changes in fasting GLP-1 levels at baseline might be better associated with the development of impaired glucose tolerance or T2D.

As recently shown by Manell et al., obese adolescents with impaired glucose tolerance had lower fasting GLP-1 levels than those with normal glucose tolerance, suggesting that this is an early-stage abnormality in obesity-related glucose dysregulation [28]. Moreover, obese adolescents showed elevated insulin and glucagon levels and that the progression to T2D was related to a further increase of these hormones as well as an early-phase hyperglucagonemic response to OGTT [28]. However, further longitudinal studies are required to confirm this hypothesis.

Data from previous studies in obese subjects who underwent bariatric surgery have postulated a potential role of gut hormones in restoring glucose metabolism. This is strongly suggested by the development of metabolic changes documented early after bariatric procedures. In fact gut hormones and especially GLP-1 concentrations have been shown to be restored after bariatric surgery, positively affecting β-cell function [29], [30]. To date, few data evaluating the role of GLP-1 concentrations in obese pre-pubertal children are available, especially evaluating this high risk population in a very early phase of the natural history of the development of glucose metabolism alteration [31]. Therefore in this study we evaluated the secretion of GLP-1 in response to a stimulus and the presence of any associations with insulin release in pre-pubertal obese children with a normal glucose tolerance during the OGTT. We documented that, although baseline levels of GLP-1 were similar between obese and normal-weight children, the obese group showed higher secretion of GLP-1 during an oral glucose load. This secretion of GLP-1 was found to be influenced by baseline IR and fasting glycemic levels and emerged to be associated with insulin secretion during OGTT. GLP-1 is known to have several beneficial effects on glucose regulation. It stimulates endogenous insulin secretion in response to oral load, suppresses glucagon secretion leading to reduced hepatic glucose production, extra-pancreatic effects, as it improves glucose elimination [7], [8]. Taking into consideration all these effects, it might be speculated that GLP-1 changes documented in obese pre-pubertal children after glucose load may represent an early adaptive response to induce a greater insulin secretion to overcome IR. The peak levels of GLP-1 preceded the response of insulin spike, suggesting a directed relationship between the increased GLP-1 release and insulin secretion by the β-cells. Therefore, we hypothesized that an increase in GLP-1 secretion might explain or at least in part contribute to higher levels of insulin in obese children, ensuring a return to blood glucose levels to normal at the end of load curve. However, the study design does not allow to differentiate whether elevated levels of GLP-1 in obese children are due to a compensatory increase in secretion or reflect a state of resistance of GLP-1. Therefore, further studies are needed to better clarify this question.

A limitation of our study is the small sample size. In addition, only GLP-1 values have been evaluated without taking into consideration the possible role of other gut secreted hormones. It needs further evaluation on larger samples and complete gut hormone patterns to confirm the results of this study. Furthermore, indirect measures of insulin secretion have been evaluated in this study, therefore studies evaluating β-cell function by the hyperglycemic clamp might be required to confirm our results.

In conclusion, in this study we showed that obese pre-pubertal children are more insulin resistant and have higher levels of insulin during an OGTT compared to healthy normal-weight subjects. The higher levels of insulin were associated with increased levels of GLP-1. These changes might likely represent a compensatory mechanism to avoid postprandial hyperglycemia and allow a normal glucose tolerance. Further studies are required in this age group to better characterize the effect of GLP-1 concentrations on the regulation of glucose metabolism.


Corresponding author: Prof. Angelika Mohn, University of Chieti, Department of Pediatrics, Via dei Vestini 5, 66100 Chieti, Italy, Phone: +39 0871 358827

  1. Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: None declared.

  3. Employment or leadership: None declared.

  4. Honorarium: None declared.

  5. Competing interests: The funding organization(s) played no role in the study design; in the collection, analysis, and interpretation of data; in the writing of the report; or in the decision to submit the report for publication.

References

1. Rinaldi AE, Pimentel GD, Pereira AF, Gabriel GF, Moreto F, et al. Metabolic syndrome in overweight children from the city of Botucatu – Sao Paulo State – Brazil: agreement among six diagnostic criteria. Diabetol Metab Syndr 2010;2:39.10.1186/1758-5996-2-39Search in Google Scholar PubMed PubMed Central

2. Cattaneo A, Monasta L, Stamatakis E, Lioret S, Castetbon K, et al. Overweight and obesity in infants and pre-school children in the European Union: a review of existing data. Obes Rev 2010;11:389–98.10.1111/j.1467-789X.2009.00639.xSearch in Google Scholar PubMed

3. Moss A, Klenk J, Simon K, Thaiss H, Reinehr T, et al. Declining prevalence rates for overweight and obesity in German children starting school. Eur J Pediatr 2012;171:289–99.10.1007/s00431-011-1531-5Search in Google Scholar PubMed

4. Tzotzas T, Krassas GE. Prevalence and trends of obesity in children and adults of South Europe. Pediatric Endocrinol Rev 2004;1(Suppl 3):448–54.Search in Google Scholar

5. Ying-Xiu Z, Shu-Rong W. Secular trends in body mass index and the prevalence of overweight and obesity among children and adolescents in Shandong, China, from 1985 to 2010. J Public Health 2012;34:131–7.10.1093/pubmed/fdr053Search in Google Scholar PubMed

6. Kiess W, Penke M, Sergeyev E, Neef M, Adler M, et al. Childhood obesity at the crossroads. J Pediatr Endocrinol Metab 2015;28:481–4.10.1515/jpem-2015-0168Search in Google Scholar PubMed

7. Drucker DJ. The biology of incretin hormones. Cell Metab 2006;3:153–65.10.1016/j.cmet.2006.01.004Search in Google Scholar PubMed

8. Egan JM, Meneilly GS, Habener JF, Elahi D. Glucagon-like peptide-1 augments insulin-mediated glucose uptake in the obese state. J Clin Endocrinol Metab 2002;87:3768–73.10.1210/jcem.87.8.8743Search in Google Scholar PubMed

9. Lomenick JP, White JR, Smart EJ, Clasey JL, Anderson JW. Glucagon-like peptide 1 and pancreatic polypeptide responses to feeding in normal weight and overweight children. J Pediatr Endocrinol Metab 2009;22:493–500.10.1515/JPEM.2009.22.6.493Search in Google Scholar PubMed

10. Fukase N, Igarashi M, Takahashi H, Manaka H, Yamatani K, et al. Hypersecretion of truncated glucagon-like peptide-1 and gastric inhibitory polypeptide in obese patients. Diabet Med 1993;10:44–9.10.1111/j.1464-5491.1993.tb01995.xSearch in Google Scholar PubMed

11. Iritani N, Sugimoto T, Fukuda H, Komiya M, Ikeda H. Oral triacylglycerols regulate plasma glucagon-like peptide-1(7–36) and insulin levels in normal and especially in obese rats. J Nutr 1999;129:46–50.10.1093/jn/129.1.46Search in Google Scholar PubMed

12. Lugari R, Dei Cas A, Ugolotti D, Barilli AL, Camellini C, et al. Glucagon-like peptide 1 (GLP-1) secretion and plasma dipeptidyl peptidase IV (DPP-IV) activity in morbidly obese patients undergoing biliopancreatic diversion. Horm Metab Res 2004;36: 111–5.10.1055/s-2004-814222Search in Google Scholar

13. Roth CL, Reinehr T. Roles of gastrointestinal and adipose tissue peptides in childhood obesity and changes after weight loss due to lifestyle intervention. Arch Pediatr Adolesc Med 2010;164:131–8.10.1001/archpediatrics.2009.265Search in Google Scholar

14. Tomasik PJ, Sztefko K, Malek A. GLP-1 as a satiety factor in children with eating disorders. Horm Metab Res 2002;34:77–80.10.1055/s-2002-20519Search in Google Scholar

15. Cacciari E, Milani S, Balsamo A, Spada E, Bona G, et al. Italian cross-sectional growth charts for height, weight and BMI (2 to 20 yr). J Endocrinol Invest 2006;29:581–93.10.1007/BF03344156Search in Google Scholar

16. Duke PM, Litt IF, Gross RT. Adolescents’ self-assessment of sexual maturation. Pediatrics 1980;66:918–20.10.1542/peds.66.6.918Search in Google Scholar

17. Kim G, Giannini C, Pierpont B, Feldstein AE, Santoro N, et al. Longitudinal effects of MRI-measured hepatic steatosis on biomarkers of glucose homeostasis and hepatic apoptosis in obese youth. Diabetes Care 2013;36:130–6.10.2337/dc12-0277Search in Google Scholar

18. Yin C, Zhang H, Xiao Y, Liu W. Shape of glucose curve can be used as a predictor for screening prediabetes in obese children. Acta Paediatr 2014;103:e199–205.10.1111/apa.12572Search in Google Scholar

19. Altman DG. Practical statistics for medical research. London: Chapman & Hall, 1991:431–3.10.1201/9780429258589Search in Google Scholar

20. Bojanowska E. Physiology and pathophysiology of glucagon-like peptide-1 (GLP-1): the role of GLP-1 in the pathogenesis of diabetes mellitus, obesity, and stress. Med Sci Monit 2005;11: RA271–8.Search in Google Scholar

21. Cancelas J, Sancho V, Villanueva-Penacarrillo ML, Courtois P, Scott FW, et al. Glucagon-like peptide 1 content of intestinal tract in adult rats injected with streptozotocin either during neonatal period or 7 d before sacrifice. Endocrine 2002;19: 279–86.10.1385/ENDO:19:3:279Search in Google Scholar

22. Gutzwiller JP, Degen L, Heuss L, Beglinger C. Glucagon-like peptide 1 (GLP-1) and eating. Physiol Behav 2004;82:17–9.10.1016/j.physbeh.2004.04.019Search in Google Scholar PubMed

23. Adam TC, Jocken J, Westerterp-Plantenga MS. Decreased glucagon-like peptide 1 release after weight loss in overweight/obese subjects. Obes Res 2005;13:710–6.10.1038/oby.2005.80Search in Google Scholar PubMed

24. Bloom S, Wynne K, Chaudhri O. Gut feeling – the secret of satiety? Clin Med 2005;5:147–52.10.7861/clinmedicine.5-2-147Search in Google Scholar PubMed PubMed Central

25. Reinehr T, de Sousa G, Roth CL. Fasting glucagon-like peptide-1 and its relation to insulin in obese children before and after weight loss. J Pediatr Gastroenterol Nutr 2007;44:608–12.10.1097/MPG.0b013e3180406a24Search in Google Scholar PubMed

26. Verdich C, Toubro S, Buemann B, Lysgard Madsen J, Juul Holst J, et al. The role of postprandial releases of insulin and incretin hormones in meal-induced satiety – effect of obesity and weight reduction. Int J Obes Relat Metab Disord 2001;25: 1206–14.10.1038/sj.ijo.0801655Search in Google Scholar PubMed

27. Verdich C, Flint A, Gutzwiller JP, Naslund E, Beglinger C, et al. A meta-analysis of the effect of glucagon-like peptide-1 (7–36) amide on ad libitum energy intake in humans. J Clin Endocrinol Metab 2001;86:4382–9.10.1210/jcem.86.9.7877Search in Google Scholar

28. Manell H, Staaf J, Manukyan L, Kristinsson H, Cen J, et al. Altered plasma levels of glucagon, GLP-1 and glicentin during OGTT in adolescents with obesity and type 2 diabetes. J Clin Endocrinol Metab 2016;101:1181–9.10.1210/jc.2015-3885Search in Google Scholar PubMed

29. Choudhury SM, Tan TM, Bloom SR. Gastrointestinal hormones and their role in obesity. Curr Opin Endocrinol Diabetes Obes 2016;23:18–22.10.1097/MED.0000000000000216Search in Google Scholar PubMed

30. Gallwitz B. Glucagon-like peptide-1 and gastric inhibitory polypeptide: new advances. Curr Opin Endocrinol Diabetes Obes 2016;23:23–7.10.1097/MED.0000000000000217Search in Google Scholar PubMed

31. Maffeis C, Surano MG, Cordioli S, Gasperotti S, Corradi M, et al. A high-fat vs. a moderate-fat meal in obese boys: nutrient balance, appetite, and gastrointestinal hormone changes. Obesity 2010;18:449–55.10.1038/oby.2009.271Search in Google Scholar PubMed

Received: 2016-2-9
Accepted: 2016-5-9
Published Online: 2016-7-21
Published in Print: 2016-8-1

©2016 Walter de Gruyter GmbH, Berlin/Boston

Downloaded on 12.6.2024 from https://www.degruyter.com/document/doi/10.1515/jpem-2016-0050/html
Scroll to top button