Model-Based Quantification of the Systemic Interplay between Glucose and Fatty Acids in the Postprandial State

In metabolic diseases such as Type 2 Diabetes and Non-Alcoholic Fatty Liver Disease, the systemic regulation of postprandial metabolite concentrations is disturbed. To understand this dysregulation, a quantitative and temporal understanding of systemic postprandial metabolite handling is needed. Of particular interest is the intertwined regulation of glucose and non-esterified fatty acids (NEFA), due to the association between disturbed NEFA metabolism and insulin resistance. However, postprandial glucose metabolism is characterized by a dynamic interplay of simultaneously responding regulatory mechanisms, which have proven difficult to measure directly. Therefore, we propose a mathematical modelling approach to untangle the systemic interplay between glucose and NEFA in the postprandial period. The developed model integrates data of both the perturbation of glucose metabolism by NEFA as measured under clamp conditions, and postprandial time-series of glucose, insulin, and NEFA. The model can describe independent data not used for fitting, and perturbations of NEFA metabolism result in an increased insulin, but not glucose, response, demonstrating that glucose homeostasis is maintained. Finally, the model is used to show that NEFA may mediate up to 30–45% of the postprandial increase in insulin-dependent glucose uptake at two hours after a glucose meal. In conclusion, the presented model can quantify the systemic interactions of glucose and NEFA in the postprandial state, and may therefore provide a new method to evaluate the disturbance of this interplay in metabolic disease.

[1]  Claudio Cobelli,et al.  Use of a novel triple-tracer approach to assess postprandial glucose metabolism. , 2003, American journal of physiology. Endocrinology and metabolism.

[2]  A. Scheen,et al.  The postprandial state and risk of cardiovascular disease , 1998, Diabetic medicine : a journal of the British Diabetic Association.

[3]  Claudio Cobelli,et al.  A System Model of Oral Glucose Absorption: Validation on Gold Standard Data , 2006, IEEE Transactions on Biomedical Engineering.

[4]  Stephen Coombes,et al.  Mathematical Modeling of Glucose Homeostasis and Its Relationship With Energy Balance and Body Fat , 2009, Obesity.

[5]  L. Rossetti,et al.  Mechanisms of fatty acid-induced inhibition of glucose uptake. , 1994, The Journal of clinical investigation.

[6]  P. J. Randle,et al.  Regulatory interactions between lipids and carbohydrates: the glucose fatty acid cycle after 35 years. , 1998, Diabetes/metabolism reviews.

[7]  Claudio Cobelli,et al.  The oral glucose minimal model: Estimation of insulin sensitivity from a meal test , 2002, IEEE Transactions on Biomedical Engineering.

[8]  K. Frayn The glucose-fatty acid cycle: a physiological perspective. , 2003, Biochemical Society transactions.

[9]  Gunnar Cedersund,et al.  A Hierarchical Whole-body Modeling Approach Elucidates the Link between in Vitro Insulin Signaling and in Vivo Glucose Homeostasis* , 2011, The Journal of Biological Chemistry.

[10]  Claudio Cobelli,et al.  Insulin sensitivity by oral glucose minimal models: validation against clamp. , 2005, American journal of physiology. Endocrinology and metabolism.

[11]  U. Ribel,et al.  In Vitro and In Vivo Potency of Insulin Analogues Designed for Clinical Use , 1991, Diabetic medicine : a journal of the British Diabetic Association.

[12]  Louis Hue,et al.  The Randle cycle revisited: a new head for an old hat. , 2009, American journal of physiology. Endocrinology and metabolism.

[13]  J. Borén,et al.  Postprandial accumulation of chylomicrons and chylomicron remnants is determined by the clearance capacity. , 2012, Atherosclerosis.

[14]  C. Cobelli,et al.  Direct assessment of liver glycogen storage by 13C nuclear magnetic resonance spectroscopy and regulation of glucose homeostasis after a mixed meal in normal subjects. , 1996, The Journal of clinical investigation.

[15]  Maciej J. Swat,et al.  The impact of mathematical modeling on the understanding of diabetes and related complications , 2013, CPT: pharmacometrics & systems pharmacology.

[16]  Gunnar Cedersund,et al.  Conclusions via unique predictions obtained despite unidentifiability – new definitions and a general method , 2012, The FEBS journal.

[17]  Peter A. J. Hilbers,et al.  Parameter Trajectory Analysis to Identify Treatment Effects of Pharmacological Interventions , 2013, PLoS Comput. Biol..

[18]  K. Nair,et al.  Effects of free fatty acids and glycerol on splanchnic glucose metabolism and insulin extraction in nondiabetic humans. , 2002, Diabetes.

[19]  K. Petersen,et al.  Hepatic Acetyl CoA Links Adipose Tissue Inflammation to Hepatic Insulin Resistance and Type 2 Diabetes , 2015, Cell.

[20]  Robert S Parker,et al.  Dynamic modeling of free fatty acid, glucose, and insulin: an extended "minimal model". , 2006, Diabetes technology & therapeutics.

[21]  Y. Z. Ider,et al.  Quantitative estimation of insulin sensitivity. , 1979, The American journal of physiology.

[22]  S. Salinari,et al.  NEFA-glucose comodulation model of beta-cell insulin secretion in 24-h multiple-meal test. , 2007, American journal of physiology. Endocrinology and metabolism.

[23]  G. Shulman,et al.  Lipid-induced hepatic insulin resistance , 2013, Aging.

[24]  J. Hill,et al.  Regulation of free fatty acid metabolism by insulin in humans: role of lipolysis and reesterification. , 1992, The American journal of physiology.

[25]  B. Fielding Tracing the fate of dietary fatty acids: metabolic studies of postprandial lipaemia in human subjects , 2011, Proceedings of the Nutrition Society.

[26]  G. Shulman,et al.  Mechanisms for Insulin Resistance: Common Threads and Missing Links , 2012, Cell.

[27]  M. Ruth,et al.  Downregulation of Adipose Tissue Fatty Acid Trafficking in Obesity: A Driver for Ectopic Fat Deposition? , 2011 .

[28]  K. Petersen,et al.  Contribution of net hepatic glycogen synthesis to disposal of an oral glucose load in humans. , 2001, Metabolism: clinical and experimental.

[29]  E. Bonora,et al.  Postprandial blood glucose as a risk factor for cardiovascular disease in Type II diabetes: the epidemiological evidence , 2001, Diabetologia.

[30]  J. Gerich,et al.  Type 2 diabetes: postprandial hyperglycemia and increased cardiovascular risk , 2010, Vascular health and risk management.

[31]  G. Shulman,et al.  Effects of free fatty acid elevation on postabsorptive endogenous glucose production and gluconeogenesis in humans. , 2000, Diabetes.

[32]  R. Parker,et al.  A phenomenological model of plasma FFA, glucose, and insulin concentrations during rest and exercise , 2010, Proceedings of the 2010 American Control Conference.

[33]  G. Shulman,et al.  Diacylglycerol activation of protein kinase Cε and hepatic insulin resistance. , 2012, Cell metabolism.

[34]  E. Newsholme,et al.  The glucose fatty-acid cycle. Its role in insulin sensitivity and the metabolic disturbances of diabetes mellitus. , 1963, Lancet.

[35]  Dae C. Shin,et al.  Nonlinear Modeling of the Dynamic Effects of Free Fatty Acids on Insulin Sensitivity , 2014 .

[36]  J. Olefsky,et al.  Effects of Nonesterified Fatty Acids on Glucose Metabolism After Glucose Ingestion , 1997, Diabetes.

[37]  A. Salter,et al.  Mathematical modelling of hepatic lipid metabolism. , 2015, Mathematical biosciences.

[38]  L. Lönn,et al.  Early alterations in the postprandial VLDL1 apoB‐100 and apoB‐48 metabolism in men with strong heredity for type 2 diabetes , 2004, Journal of internal medicine.

[39]  S. Wootton,et al.  Dietary fatty acids make a rapid and substantial contribution to VLDL-triacylglycerol in the fed state. , 2007, American journal of physiology. Endocrinology and metabolism.

[40]  E. Parks,et al.  Postprandial metabolism of meal triglyceride in humans. , 2012, Biochimica et biophysica acta.

[41]  Gunnar Cedersund,et al.  A Single Mechanism Can Explain Network-wide Insulin Resistance in Adipocytes from Obese Patients with Type 2 Diabetes* , 2014, The Journal of Biological Chemistry.

[42]  Peter J Moate,et al.  A novel minimal model to describe NEFA kinetics following an intravenous glucose challenge. , 2008, American journal of physiology. Regulatory, integrative and comparative physiology.

[43]  J. Holst,et al.  Effects of free fatty acids per se on glucose production, gluconeogenesis, and glycogenolysis. , 2003, Diabetes.

[44]  Alessandra Bertoldo,et al.  Advancing Our Understanding of the Glucose System via Modeling: A Perspective , 2014, IEEE Transactions on Biomedical Engineering.

[45]  M. Vranic,et al.  Fatty Acids Mediate the Acute Extrahepatic Effects of Insulin on Hepatic Glucose Production in Humans , 1997, Diabetes.

[46]  Gunnar Cedersund,et al.  Insulin Signaling in Type 2 Diabetes , 2013, The Journal of Biological Chemistry.

[47]  E. Ferrannini,et al.  Acute elevation of free fatty acid levels leads to hepatic insulin resistance in obese subjects. , 1987, Metabolism: clinical and experimental.

[48]  C. E. Hallgreen,et al.  A Model of NEFA Dynamics with Focus on the Postprandial State , 2009, Annals of Biomedical Engineering.

[49]  E. Van Obberghen,et al.  [Mechanisms of insulin resistance]. , 1989, Journees annuelles de diabetologie de l'Hotel-Dieu.

[50]  Geltrude Mingrone,et al.  A mathematical model of the euglycemic hyperinsulinemic clamp , 2005, Theoretical Biology and Medical Modelling.

[51]  C. Cobelli,et al.  In Silico Preclinical Trials: A Proof of Concept in Closed-Loop Control of Type 1 Diabetes , 2009, Journal of diabetes science and technology.

[52]  D. Chinkes,et al.  Isotope Tracers in Metabolic Research: Principles and Practice of Kinetic Analysis , 2004 .

[53]  R. DeFronzo,et al.  Effect of fatty acids on glucose production and utilization in man. , 1983, The Journal of clinical investigation.

[54]  F. Karpe,et al.  Fasted to fed trafficking of Fatty acids in human adipose tissue reveals a novel regulatory step for enhanced fat storage. , 2009, The Journal of clinical endocrinology and metabolism.

[55]  G. Pacini,et al.  Postprandial triglyceride-rich lipoprotein metabolism and insulin sensitivity in nonalcoholic steatohepatitis patients , 2001, Lipids.

[56]  D. Kelley,et al.  Role of reduced suppression of glucose production and diminished early insulin release in impaired glucose tolerance. , 1992, The New England journal of medicine.

[57]  E. Parks,et al.  Fatty acid sources and their fluxes as they contribute to plasma triglyceride concentrations and fatty liver in humans , 2014, Current opinion in lipidology.

[58]  G. Boden Obesity, insulin resistance and free fatty acids , 2011, Current opinion in endocrinology, diabetes, and obesity.

[59]  K. Petersen,et al.  Nuclear magnetic resonance studies of hepatic glucose metabolism in humans. , 2001, Recent progress in hormone research.

[60]  P. Strålfors,et al.  Attenuated mTOR Signaling and Enhanced Autophagy in Adipocytes from Obese Patients with Type 2 Diabetes , 2010, Molecular medicine.

[61]  A. Kotronen,et al.  Increased liver fat, impaired insulin clearance, and hepatic and adipose tissue insulin resistance in type 2 diabetes. , 2008, Gastroenterology.

[62]  G. Shulman,et al.  Role of diacylglycerol activation of PKCθ in lipid-induced muscle insulin resistance in humans , 2014, Proceedings of the National Academy of Sciences.

[63]  J. Borén,et al.  Kinetic studies to investigate lipoprotein metabolism , 2012, Journal of internal medicine.

[64]  C. Cobelli,et al.  Alterations in postprandial hepatic glycogen metabolism in type 2 diabetes. , 2004, Diabetes.

[65]  M. Vranic,et al.  Role of free fatty acids and glucagon in the peripheral effect of insulin on glucose production in humans. , 1998, The American journal of physiology.

[66]  G. Vist,et al.  Extended effects of evening meal carbohydrate-to-fat ratio on fasting and postprandial substrate metabolism. , 2002, The American journal of clinical nutrition.

[67]  F. Karpe,et al.  Fatty Acids, Obesity, and Insulin Resistance: Time for a Reevaluation , 2011, Diabetes.

[68]  F. Karpe,et al.  Differences in partitioning of meal fatty acids into blood lipid fractions: a comparison of linoleate, oleate, and palmitate , 2008, American journal of physiology. Endocrinology and metabolism.

[69]  A. Rose,et al.  Effect of prior exercise on glucose metabolism in trained men. , 2001, American journal of physiology. Endocrinology and metabolism.

[70]  Brenda S. Hijmans,et al.  A systems biology approach reveals the physiological origin of hepatic steatosis induced by liver X receptor activation , 2015, FASEB journal : official publication of the Federation of American Societies for Experimental Biology.

[71]  A. Mooradian Dyslipidemia in type 2 diabetes mellitus , 2009, Nature Clinical Practice Endocrinology &Metabolism.

[72]  K. Cianflone,et al.  Addition of glucose to an oral fat load reduces postprandial free fatty acids and prevents the postprandial increase in complement component 3. , 2004, The American journal of clinical nutrition.

[73]  J. McGill,et al.  Treating Postprandial Hyperglycemia Does Not Appear to Delay Progression of Early Type 2 Diabetes , 2006, Diabetes Care.

[74]  Donald S. Young,et al.  Implementation of SI units for clinical laboratory data: style specifications and conversion tables. , 1990, The Journal of nutritional biochemistry.

[75]  J. Browning,et al.  Increased de novo lipogenesis is a distinct characteristic of individuals with nonalcoholic fatty liver disease. , 2014, Gastroenterology.

[76]  G. Boden Insulin Resistance and Free Fatty Acids , 2011 .

[77]  Claudio Cobelli,et al.  Meal Simulation Model of the Glucose-Insulin System , 2007, IEEE Transactions on Biomedical Engineering.

[78]  T. Edgar,et al.  Pharmacokinetic Modeling of the Glucoregulatory System. , 2008, Journal of drug delivery science and technology.

[79]  C Cobelli,et al.  Insulin sensitivity from meal tolerance tests in normal subjects: a minimal model index. , 2000, The Journal of clinical endocrinology and metabolism.