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Systems Pharmacology Modeling in Type 2 Diabetes Mellitus

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Systems Pharmacology and Pharmacodynamics

Abstract

This chapter provides an introduction to quantitative systems pharmacology (QSP) modeling of type 2 diabetes mellitus (T2DM). For practical reasons, biological scope is limited to those factors which determine glucose homeostasis as is commonly determined in 12-week, Phase 2 intervention trials via measurements of glycated hemoglobin (HbA1c). A review of information essential to a QSP effort in T2DM is provided. This includes a biological overview of the physiology and pathophysiology of glucose regulation along with the pharmacology of therapeutically relevant mechanisms of intervention. Literature references of use in quantifying key physiological and therapeutic effects are provided in this context. Although an explicit QSP model of T2DM is not provided, diagrams representing key pathways and organs are included along with an outline of the requisite steps in constructing such a model. Finally, two illustrative case examples of QSP model application in both preclinical and clinical pharmaceutical research are provided.

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References

  • Agoram B (2014) Evaluating systems pharmacology models is different from evaluating standard pharmacokinetic–pharmacodynamic models. CPT Pharmacometrics Syst Pharmacol 3(2). doi:10.1038/psp.2013.77

    Google Scholar 

  • Ahrén B, Holst JJ, Mari A (2003) Characterization of GLP-1 effects on β-cell function after meal ingestion in humans. Diabetes Care 26(10):2860–2864. doi:10.2337/diacare.26.10.2860

    Article  PubMed  Google Scholar 

  • Ajmera I, Swat M, Laibe C, Novere NL, Chelliah V (2013) The impact of mathematical modeling on the understanding of diabetes and related complications. CPT Pharmacometr Syst Pharmacol 2:e54. doi:10.1038/psp.2013.30

    Article  CAS  Google Scholar 

  • American Diabetes Association (2013) Economic costs of diabetes in the U.S. in 2012. Diabetes Care 36(4):1033–1046. doi:10.2337/dc12-2625

  • American Diabetes Association (2014) Diagnosis and classification of diabetes mellitus. Diabetes Care 37(Suppl 1):S81–S90. doi:10.2337/dc14-S081

    Article  Google Scholar 

  • Aronoff SL, Berkowitz K, Shreiner B, Want L (2004) Glucose metabolism and regulation: beyond insulin and glucagon. Diabetes Spectrum 17(3):183–190. doi:10.2337/diaspect.17.3.183

    Article  Google Scholar 

  • Bagger JI, Knop FK, Lund A, Vestergaard H, Holst JJ, Vilsboll T (2011) Impaired regulation of the incretin effect in patients with type 2 diabetes. J Clin Endocrinol Metab 96(3):737–745. doi:10.1210/jc.2010-2435

    Article  CAS  PubMed  Google Scholar 

  • Beck-Nielsen H, Hother-Nielsen O, Staehr P (2002) Is hepatic glucose production increased in type 2 diabetes mellitus? Curr Diab Rep 2(3):231–236

    Article  PubMed  Google Scholar 

  • Beer SF, Bircham PMM, Bloom SR, Clark PM, Hales CN, Hughes CM, Jones CT, Marsh DR, Raggatt PR, Findlay ALR (1989) The effect of a 72-h fast on plasma levels of pituitary, adrenal, thyroid, pancreatic and gastrointestinal hormones in healthy men and women. J Endocrinol 120(2):337–350. doi:10.1677/joe.0.1200337

    Article  CAS  PubMed  Google Scholar 

  • Bergman RN, Phillips LS, Cobelli C (1981) Physiologic evaluation of factors controlling glucose tolerance in man: measurement of insulin sensitivity and beta-cell glucose sensitivity from the response to intravenous glucose. J Clin Invest 68(6):1456–1467

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Bergmann FT, Sauro HM (2006) Computational systems biology: modularity and composition: SBW—a modular framework for systems biology. In: Winter simulation WSC’06, 2006/12/2006. Winter simulations conference, Monterey, pp 1637–1647

    Google Scholar 

  • Bergmann FT, Vallabhajosyula RR, Sauro HM (2006) Computational tools for modeling protein networks. Curr Proteomics 3(3):181–197. doi:10.2174/157016406779475380

    Article  CAS  Google Scholar 

  • Bertau M, Mosekilde E, Westerhoff HV (2008) Biosimulation in drug development. Wiley-VCH, Weinheim

    Google Scholar 

  • Boyle JP, Thompson TJ, Gregg EW, Barker LE, Williamson DF (2010) Projection of the year 2050 burden of diabetes in the US adult population: dynamic modeling of incidence, mortality, and prediabetes prevalence. Popul Health Metr 8:29. doi:10.1186/1478-7954-8-29

    Article  PubMed  PubMed Central  Google Scholar 

  • Brandt A, Katschinski M, Arnold R, Polonsky KS, Göke B, Byrne MM (2001) GLP-1-induced alterations in the glucose-stimulated insulin secretory dose-response curve. Am J Physiol Endocrinol Metab 281(2):E242–E247

    CAS  PubMed  Google Scholar 

  • Brännmark C, Nyman E, Fagerholm S, Bergenholm L, Ekstrand E-M, Cedersund G, Strålfors P (2013) Insulin signaling in type 2 diabetes: experimental and modeling analyses reveal mechanisms of insulin resistance in human adipocytes. J Biol Chem 288(14):9867–9880. doi:10.1074/jbc.M112.432062

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  • Bratanova-Tochkova TK, Cheng H, Daniel S, Gunawardana S, Liu Y-J, Mulvaney-Musa J, Schermerhorn T, Straub SG, Yajima H, Sharp GWG (2002) Triggering and augmentation mechanisms, granule pools, and biphasic insulin secretion. Diabetes 51(suppl 1):S83–S90. doi:10.2337/diabetes.51.2007.S83

    Article  CAS  PubMed  Google Scholar 

  • Browning JD, Baxter J, Satapati S, Burgess SC (2012) The effect of short-term fasting on liver and skeletal muscle lipid, glucose, and energy metabolism in healthy women and men. J Lipid Res 53(3):577–586. doi:10.1194/jlr.P020867

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Bruce DG, Chisholm DJ, Storlien LH, Kraegen EW (1988) Physiological importance of deficiency in early prandial insulin secretion in non-insulin-dependent diabetes. Diabetes 37(6):736–744. doi:10.2337/diab.37.6.736

    Article  CAS  PubMed  Google Scholar 

  • Bunt JC, Krakoff J, Ortega E, Knowler WC, Bogardus C (2007) Acute insulin response is an independent predictor of type 2 diabetes mellitus in individuals with both normal fasting and 2-h plasma glucose concentrations. Diabetes Metab Res Rev 23(4):304–310. doi:10.1002/dmrr.686

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Carpino PA, Goodwin B (2010) Diabetes area participation analysis: a review of companies and targets described in the 2008–2010 patent literature. Expert Opin Ther Pat 20(12):1627–1651. doi:10.1517/13543776.2010.533171

    Article  CAS  PubMed  Google Scholar 

  • Cauter EV, Mestrez F, Sturis J, Polonsky KS (1992) Estimation of insulin secretion rates from C-peptide levels: comparison of individual and standard kinetic parameters for C-peptide clearance. Diabetes 41(3):368–377. doi:10.2337/diab.41.3.368

    Article  PubMed  Google Scholar 

  • Cedersund G, Roll J, Ulfhielm E, Danielsson A, Tidefelt H, Stälfors P (2008) Model-based hypothesis testing of key mechanisms in initial phase of insulin signaling. PLoS Comput Biol 4(6):e1000096

    Google Scholar 

  • Cedersund G, Strälfors P (2009) Putting the pieces together in diabetes research: towards a hierarchical model of whole-body glucose homeostasis. Eur J Pharm Sci 36(1):91–104. doi:10.1016/j.ejps.2008.10.027

    Article  CAS  PubMed  Google Scholar 

  • Cefalu WT, Leiter LA, Yoon K-H, Arias P, Niskanen L, Xie J, Balis DA, Canovatchel W, Meininger G (2013) Efficacy and safety of canagliflozin versus glimepiride in patients with type 2 diabetes inadequately controlled with metformin (CANTATA-SU): 52 week results from a randomised, double-blind, phase 3 non-inferiority trial. The Lancet 382(9896):941–950. doi:10.1016/S0140-6736(13)60683-2

    Article  CAS  Google Scholar 

  • Ceriello A, Esposito K, Testa R, Bonfigli AR, Marra M, Giugliano D (2011) The possible protective role of glucagon-like peptide 1 on endothelium during the meal and evidence for an “Endothelial Resistance” to glucagon-like peptide 1 in diabetes. Dia Care 34(3):697–702. doi:10.2337/dc10-1949

    Article  CAS  Google Scholar 

  • Chang S (2014) In silico trials. Lessons learned working with Pharma for 9 years (trans: Chang S). In: Presentation at the 2nd Avicenna conference on in silico trial strategies, Rome

    Google Scholar 

  • Chew YH, Shia YL, Lee CT, Abdul Majid FA, Chua LS, Sarmidi MR, Abdul Aziz R (2009a) Modeling of oscillatory bursting activity of pancreatic beta-cells under regulated glucose stimulation. Mol Cell Endocrinol 307(1–2):57–67. doi:10.1016/j.mce.2009.03.005

    Article  CAS  PubMed  Google Scholar 

  • Chew YH, Shia YL, Lee CT, Majid FAA, Chua LS, Sarmidi MR, Aziz RA (2009b) Modeling of glucose regulation and insulin-signaling pathways. Mol Cell Endocrinol 303(1–2):13–24. doi:10.1016/j.mce.2009.01.018

    Article  CAS  PubMed  Google Scholar 

  • Christensen MB, Calanna S, Holst JJ, Vilsboll T, Knop FK (2014) Glucose-dependent insulinotropic polypeptide: blood glucose stabilizing effects in patients with type 2 diabetes. J Clin Endocrinol Metab 99(3):E418–E426. doi:10.1210/jc.2013-3644

    Article  CAS  PubMed  Google Scholar 

  • Chu Z-L, Jones RM, He H, Carroll C, Gutierrez V, Lucman A, Moloney M, Gao H, Mondala H, Bagnol D, Unett D, Liang Y, Demarest K, Semple G, Behan DP, Leonard J (2007) A role for beta-cell-expressed G protein-coupled receptor 119 in glycemic control by enhancing glucose-dependent insulin release. Endocrinology 148(6):2601–2609

    Article  CAS  PubMed  Google Scholar 

  • Cobelli C, Mari A (1983) Validation of mathematical models of complex endocrine-metabolic systems. A case study on a model of glucose regulation. Med Biol Eng Comput 21(4):390–399. doi:10.1007/BF02442625

    Article  CAS  PubMed  Google Scholar 

  • Dalla Man C, Campioni M, Polonsky KS, Basu R, Rizza RA, Toffolo G, Cobelli C (2005a) Two-hour seven-sample oral glucose tolerance test and meal protocol: Minimal model assessment of β-cell responsivity and insulin sensitivity in nondiabetic individuals. Diabetes 54(11):3265–3273. doi:10.2337/diabetes.54.11.3265

    Article  CAS  PubMed  Google Scholar 

  • Dalla Man C, Caumo A, Basu R, Rizza R, Toffolo G, Cobelli C (2005b) Measurement of selective effect of insulin on glucose disposal from labeled glucose oral test minimal model. Am J Physiol 289 (5, Pt. 1):E909–E914. doi:10.1152/ajpendo.00299.2004

    Google Scholar 

  • Dalla Man C, Rizza RA, Cobelli C (2007) Meal simulation model of the glucose-insulin system. IEEE Trans Biomed Eng 54(10):1740–1749

    Article  PubMed  Google Scholar 

  • Danaei G, Finucane MM, Lu Y, Singh GM, Cowan MJ, Paciorek CJ, Lin JK, Farzadfar F, Khang Y-H, Stevens GA, Rao M, Ali MK, Riley LM, Robinson CA, Ezzati M, Danaei G, Finucane MM, Lu Y, Singh GM, Cowan MJ, Paciorek CJ, Lin JK, Farzadfar F, Khang Y-H, Stevens GA, Rao M, Ali MK, Riley LM, Robinson CA, Ezzati M, Abdeen Z, Aekplakorn W, Afifi MM, Agabiti-Rosei E, Salinas CAA, Alnsour M, Ambady R, Barbagallo CM, Barcelo A, Barros H, Bautista LE, Benetos A, Bjerregaad P, Bo S, Bovert P, Burszytn M, Cabrera dLA, Castellano M, Castetbon K, Chaouki N, Chen C-J, Chua L, Cifkova R, Corsi AM, Delgado E, Doi Y, Esteghamati A, Fall CHD, Fan J-G, Ferreccio C, Fezeu L, Fuller EL, Giampaoli S, Gomez LF, Carvajal RG, Herman WH, Herrera VM, Ho S, Hussain A, Ikeda N, Jafar TH, Jonas JB, Kadiki OA, Karalis I, Katz J, Khalilzadeh O, Kiechl S, Kurjata P, Lee J, Lee J, Lim S, Lim TO, Lin C-C, Lin X, Lin H-H, Liu X, Lorbeer R, Ma S, Maggi S, Magliano DJ, McFarlane-Anderson N, Miettola J, Miranda JJ, Mohamed MK, Mohan V, Mokdad A, Morales DD, Nabipour I, Nakagami T, Nangia V, Neuhauser H, Noale M, Onat A, Orostegui M, panagiotakos DB, Passos VMA, Perez C, Pichardo R, Phua HP, Plans P, Qiao Q, Ramos LR, Rampal S, Rampal L, Redon J, Revilla L, Rosero-Bixby L, Sanisoglu SY, Scazufca M, Schaan BD, Sekuri C, Shera AS, Shi Z, Silva E, Simons LA, Soederberg S, Solfrizzi V, Soysal A, Stein AD, Stessman J, Vanderpump MP, Viet L, Vollenweider P, Wang N, Wang YX, Waspadji S, Willeit J, Woodward M, Xu L, Yang X, Yoon J-S, Yu Z, Zhang J, Zhang L (2011) National, regional, and global trends in fasting plasma glucose and diabetes prevalence since 1980: systematic analysis of health examination surveys and epidemiological studies with 370 country-years and 2.7 million participants. Lancet 378(9785):31–40

    Google Scholar 

  • De Gaetano A, Panunzi S, Matone A, Samson A, Vrbikova J, Bendlova B, Pacini G (2013) Routine OGTT: a robust model including incretin effect for precise identification of insulin sensitivity and secretion in a single individual. PLoS ONE 8(8):e70875. doi:10.1371/journal.pone.0070875

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  • DeFronzo RA, Gunnarsson R, Bjorkman O, Olsson M, Wahren J (1985) Effects of insulin on peripheral and splanchnic glucose metabolism in noninsulin-dependent (type II) diabetes mellitus. J Clin Invest 76(1):149–155. doi:10.1172/jci111938

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • DeFronzo RA, Tobin JD, Andres R (1979) Glucose clamp technique: a method for quantifying insulin secretion and resistance. Am J Physiol Endocrinol Metab 237(3):E214

    CAS  Google Scholar 

  • Del Prato S, Marchetti P, Bonadonna RC (2002) Phasic insulin release and metabolic regulation in type 2 diabetes. Diabetes 51(suppl 1):S109–S116. doi:10.2337/diabetes.51.2007.S109

    Article  PubMed  Google Scholar 

  • Eknoyan G, Nagy J (2005) A history of diabetes mellitus or how a disease of the kidneys evolved into a kidney disease. Adv Chronic Kidney Dis 12(2):223–229

    Article  PubMed  Google Scholar 

  • Færch K, Vaag A, Holst JJ, Glümer C, Pedersen O, Borch-Johnsen K (2008) Impaired fasting glycaemia vs impaired glucose tolerance: similar impairment of pancreatic alpha and beta cell function but differential roles of incretin hormones and insulin action. Diabetologia 51(5):853–861. doi:10.1007/s00125-008-0951-x

    Article  PubMed  CAS  Google Scholar 

  • Ferrannini E, Muscelli E, Frascerra S, Baldi S, Mari A, Heise T, Broedl UC, Woerle H-J (2014) Metabolic response to sodium-glucose cotransporter 2 inhibition in type 2 diabetic patients. J Clin Investig 124(2):499–508. doi:10.1172/JCI72227

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Frayn KN (2010) Metabolic regulation: a human perspective, 3rd edn. Wiley, New York

    Google Scholar 

  • Fredriksson R, Hoglund P, Gloriam DEI, Lagerstrom MC, Schioth HB (2003) Seven evolutionarily conserved human rhodopsin G protein-coupled receptors lacking close relatives. FEBS Lett 554(3):381–388

    Article  CAS  PubMed  Google Scholar 

  • Friedrich C (2016) A model qualification method for mechanistic physiological QSP models to support model-informed drug development. CPT: Pharmacomet. Syst Pharmacol 5:43–53.

    Google Scholar 

  • Hamon J, Jennings P, Bois FY (2014) Systems biology modeling of omics data: effect of cyclosporine a on the Nrf2 pathway in human renal cells. BMC Syst Biol 8(1). doi:10.1186/1752-0509-8-76

    Google Scholar 

  • Hamrén B, Björk E, Sunzel M, Karlsson MO (2008) Models for plasma glucose, HbA1c, and hemoglobin interrelationships in patients with type 2 diabetes following tesaglitazar treatment. Clin Pharmacol Ther 84(2):228–235. doi:10.1038/clpt.2008.2

    Article  PubMed  CAS  Google Scholar 

  • Han T, Migoya EM, Maganti L, Baillie R, Brazhnik P, Bosley JR (2008) Alteration of glucose and insulin regulatory networks for the treatment of type 2 diabetes mellitus. In: Annual meeting, 2008/06/2008. Marseille, France

    Google Scholar 

  • Hansen KB, Rosenkilde MM, Knop FK, Wellner N, Diep TA, Rehfeld JF, Andersen UB, Holst JJ, Hansen HS (2011) 2-Oleoyl glycerol is a GPR119 agonist and signals GLP-1 release in humans. J Clin Endocrinol Metab 96(9):E1409–E1417. doi:10.1210/jc.2011-0647

    Article  CAS  PubMed  Google Scholar 

  • Heinzel A, Perco P, Mayer G, Oberbauer R, Lukas A, Mayer B (2014) From molecular signatures to predictive biomarkers: modeling disease pathophysiology and drug mechanism of action. Front Cell Dev Biol 2. doi:10.3389/fcell.2014.00037

  • Hojlund K, Wildner-Christensen M, Eshoj O, Skjaerbaek C, Holst JJ, Koldkjaer O, Jensen DM, Beck-Nielsen H (2001) Reference intervals for glucose, β-cell polypeptides, and counterregulatory factors during prolonged fasting. Am J Physiol 280 (1, Pt. 1):E50–E58

    Google Scholar 

  • Horowitz JF, Coppack SW, Klein S (2001) Whole-body and adipose tissue glucose metabolism in response to short-term fasting in lean and obese women. Am J Clin Nutr 73(3):517–522

    CAS  PubMed  Google Scholar 

  • Horowitz M, Maddox AF, Wishart JM, Harding PE, Chatterton BE, Shearman DJ (1991) Relationships between oesophageal transit and solid and liquid gastric emptying in diabetes mellitus. Eur J Nucl Med 18(4):229–234

    Article  CAS  PubMed  Google Scholar 

  • Hovorka R, Powrie JK, Smith GD, Sonksen PH, Carson ER, Jones RH (1993) Five-compartment model of insulin kinetics and its use to investigate action of chloroquine in NIDDM. Am J Physiol Endocrinol Metab 265(1):E162–E175

    CAS  Google Scholar 

  • Hucka M, Finney A, Sauro HM, Bolouri H, Doyle J, Kitano H (2002) The ERATO systems biology workbench: enabling interaction and exchange between software tools for computational biology. In: Pacific symposium on biocomputing pacific symposium on biocomputing, pp 450–461

    Google Scholar 

  • Johannsen DL, Tchoukalova Y, Tam CS, Covington JD, Xie W, Schwarz J-M, Bajpeyi S, Ravussin E (2014) Effect of eight weeks of overfeeding on ectopic fat deposition and insulin sensitivity: testing the “adipose tissue expandability” hypothesis. Diabetes Care. doi:10.2337/dc14-0761

    PubMed  PubMed Central  Google Scholar 

  • Kapur A, O’Connor-Semmes R, Hussey EK, Dobbins RL, Tao W, Hompesch M, Smith GA, Polli JW, James CD Jr, Mikoshiba I, Nunez DJ (2013) First human dose-escalation study with remogliflozin etabonate, a selective inhibitor of the sodium-glucose transporter 2 (SGLT2), in healthy subjects and in subjects with type 2 diabetes mellitus. BMC Pharmacol Toxicol 14:26. doi:10.1186/2050-6511-14-26

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Katz LB, Gambale JJ, Rothenberg PL, Vanapalli SR, Vaccaro N, Xi L, Sarich TC, Stein PP (2012) Effects of JNJ-38431055, a novel GPR119 receptor agonist, in randomized, double-blind, placebo-controlled studies in subjects with type 2 diabetes. Diabetes Obes Metab 14(8):709–716. doi:10.1111/j.1463-1326.2012.01587.x

    Article  CAS  PubMed  Google Scholar 

  • Kim J, Saidel GM, Cabrera ME (2007) Multi-scale computational model of fuel homeostasis during exercise: effect of hormonal control. Ann Biomed Eng 35(1):69–90

    Article  PubMed  Google Scholar 

  • Kitano H, Funahashi A, Matsuoka Y, Oda K (2005) Using process diagrams for the graphical representation of biological networks. Nat Biotechnol 23(8):961–966. doi:10.1038/nbt1111

    Article  CAS  PubMed  Google Scholar 

  • Kjems LL, Holst JJ, Vølund A, Madsbad S (2003) The influence of GLP-1 on glucose-stimulated insulin secretion: effects on β-cell sensitivity in type 2 and nondiabetic subjects. Diabetes 52(2):380–386. doi:10.2337/diabetes.52.2.380

    Article  CAS  PubMed  Google Scholar 

  • Kogure R, Toyama K, Hiyamuta S, Kojima I, Takeda S (2011) 5-Hydroxy-eicosapentaenoic acid is an endogenous GPR119 agonist and enhances glucose-dependent insulin secretion. Biochem Biophys Res Commun 416(1–2):58–63. doi:10.1016/j.bbrc.2011.10.141

    Article  CAS  PubMed  Google Scholar 

  • Komoroski B, Vachharajani N, Boulton D, Kornhauser D, Geraldes M, Li L, Pfister M (2009a) Dapagliflozin, a novel SGLT2 inhibitor, induces dose-dependent glucosuria in healthy subjects. Clin Pharmacol Ther 85(5):520–526. doi:10.1038/clpt.2008.251

    Article  CAS  PubMed  Google Scholar 

  • Komoroski B, Vachharajani N, Feng Y, Li L, Kornhauser D, Pfister M (2009b) Dapagliflozin, a novel, selective SGLT2 inhibitor, improved glycemic control over 2 weeks in patients with type 2 diabetes mellitus. Clin Pharmacol Ther 85(5):513–519. doi:10.1038/clpt.2008.250

    Article  CAS  PubMed  Google Scholar 

  • Koschorreck M, Gilles ED (2008) Mathematical modeling and analysis of insulin clearance in vivo. BMC Syst Biol 2(1). doi:10.1186/1752-0509-2-43

  • Landersdorfer CB, Jusko WJ (2008) Pharmacokinetic/pharmacodynamic modelling in diabetes mellitus. Clin Pharmacokinet 47(7):417–448. doi:10.2165/00003088-200847070-00001

    Article  CAS  PubMed  Google Scholar 

  • Leahy JL (2005) Pathogenesis of type 2 diabetes mellitus. Arch Med Res 36(3):197–209. doi:10.1016/j.arcmed.2005.01.003

    Article  CAS  PubMed  Google Scholar 

  • Lee S, Zhang C, Kilicarslan M, Piening BD, Bjornson E, Hallström BM, Groen AK, Ferrannini E, Laakso M, et al (2016) Integrated network analysis reveals an association between plasma mannose levels and insulin resistance. Cell Metab 24(1):172–184

    Google Scholar 

  • Levy JC, Matthews DR, Hermans MP (1998) Correct homeostasis model assessment (HOMA) evaluation uses the computer program. Diabetes Care 21(12):2191–2192. doi:10.2337/diacare.21.12.2191

    Article  CAS  PubMed  Google Scholar 

  • Li C, Donizelli M, Rodriguez N, Dharuri H, Endler L, Chelliah V, Li L, He E, Henry A, Stefan MI, Snoep JL, Hucka M, Le Novere N, Laibe C (2010) BioModels Database: an enhanced, curated and annotated resource for published quantitative kinetic models. BMC Syst Biol 4:92. doi:10.1186/1752-0509-4-92

    Article  PubMed  PubMed Central  Google Scholar 

  • List JF, Woo V, Morales E, Tang W, Fiedorek FT (2009) Sodium-glucose cotransport inhibition with dapagliflozin in type 2 diabetes. Diabetes Care 32(4):650–657. doi:10.2337/dc08-1863

    Article  CAS  PubMed  Google Scholar 

  • Lund A, Vilsboll T, Bagger JI, Holst JJ, Knop FK (2011) The separate and combined impact of the intestinal hormones, GIP, GLP-1, and GLP-2, on glucagon secretion in type 2 diabetes. Am J Physiol Endocrinol Metab 300(6):E1038–E1046. doi:10.1152/ajpendo.00665.2010

    Article  CAS  PubMed  Google Scholar 

  • Luzi L, DeFronzo RA (1989) Effect of loss of first-phase insulin secretion on hepatic glucose production and tissue glucose disposal in humans. Am J Physiol Endocrinol Metab 257(2):E241–E246

    CAS  Google Scholar 

  • Magni L, Raimondo DM, Bossi L, Dalla Man C, De Nicolao G, Kovatchev B, Cobelli C (2007) Model predictive control of type 1 diabetes: an in silico trial. J Diabetes Sci Technol 1(6):804–812

    Article  PubMed  PubMed Central  Google Scholar 

  • Mari A, Camastra S, Toschi E, Giancaterini A, Gastaldelli A, Mingrone G, Ferrannini E (2001) A model for glucose control of insulin secretion during 24 h of free living. Diabetes 50(Suppl. 1):S164–S168. doi:10.2337/diabetes.50.2007.S164

    Article  CAS  PubMed  Google Scholar 

  • Marino S, Hogue IB, Ray CJ, Kirschner DE (2008) A methodology for performing global uncertainty and sensitivity analysis in systems biology. J Theor Biol 254(1):178–196. doi:10.1016/j.jtbi.2008.04.011

    Article  PubMed  PubMed Central  Google Scholar 

  • Markovic TP, Furler SM, Jenkins AB, Campbell LV, Kraegen EW, Chisholm DJ (1995) Importance of early insulin levels on prandial glycaemic responses and thermogenesis in non-insulin-dependent diabetes mellitus. Diabetes Med 12(6):523–530

    Article  CAS  Google Scholar 

  • Matthews DR, Hosker JP, Rudenski AS, Naylor BA, Treacher DF, Turner RC (1985) Homeostasis model assessment: insulin resistance and β-cell function from fasting plasma glucose and insulin concentrations in man. Diabetologia 28(7):412–419. doi:10.1007/BF00280883

    Article  CAS  PubMed  Google Scholar 

  • Meier JJ, Holst JJ, Schmidt WE, Nauck MA (2007) Reduction of hepatic insulin clearance after oral glucose ingestion is not mediated by glucagon-like peptide 1 or gastric inhibitory polypeptide in humans. Am J Physiol Endocrinol Metab 293(3):E849–E856. doi:10.1152/ajpendo.00289.2007

    Article  CAS  PubMed  Google Scholar 

  • Merovci A, Solis-Herrera C, Daniele G, Eldor R, Fiorentino TV, Tripathy D, Xiong J, Perez Z, Norton L, Abdul-Ghani MA, DeFronzo RA (2014) Dapagliflozin improves muscle insulin sensitivity but enhances endogenous glucose production. J Clin Investig 124(2):509–514. doi:10.1172/JCI70704

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Meyer C, Woerle HJ, Dostou JM, Welle SL, Gerich JE (2004) Abnormal renal, hepatic, and muscle glucose metabolism following glucose ingestion in type 2 diabetes. Am J Physiol Endocrinol Metab 287(6):E1049–E1056. doi:10.1152/ajpendo.00041.2004

    Article  CAS  PubMed  Google Scholar 

  • Milligan PA, Brown MJ, Marchant B, Martin SW, van der Graaf PH, Benson N, Nucci G, Nichols DJ, Boyd RA, Mandema JW, Krishnaswami S, Zwillich S, Gruben D, Anziano RJ, Stock TC, Lalonde RL (2013) Model-based drug development: a rational approach to efficiently accelerate drug development. Clin Pharmacol Ther 93(6):502–514. doi:10.1038/clpt.2013.54

    Article  CAS  PubMed  Google Scholar 

  • Mogensen CE (1971) Maximum tubular reabsorption capacity for glucose and renal hemodynamics during rapid hypertonic glucose infusion in normal and diabetic subjects. Scand J Clin Lab Invest 28(1):101–109. doi:10.3109/00365517109090668

    Google Scholar 

  • Møller JB, Man CD, Overgaard RV, Ingwersen SH, Tornøe CW, Pedersen M, Tanaka H, Ohsugi M, Ueki K, Lynge J, Vasconcelos N-M, Pedersen BK, Kadowaki T, Cobelli C (2014) Ethnic differences in insulin sensitivity, beta-cell function, and hepatic extraction between japanese and caucasians: a minimal model analysis. J Clin Endocrinol Metab 99:4273–4280. doi:10.1210/jc.2014-1724

    Article  PubMed  CAS  Google Scholar 

  • Mussap M, Vestra MD, Fioretto P, Saller A, Varagnolo M, Nosadini R, Plebani M (2002) Cystatin C is a more sensitive marker than creatinine for the estimation of GFR in type 2 diabetic patients. Kidney Int 61(4):1453–1461

    Article  CAS  PubMed  Google Scholar 

  • Nathan DM, Turgeon H, Regan S (2007) Relationship between glycated haemoglobin levels and mean glucose levels over time. Diabetologia 50(11):2239–2244. doi:10.1007/s00125-007-0803-0

    Article  CAS  PubMed  Google Scholar 

  • National Research Council (2012) Assessing the reliability of complex models: mathematical and statistical foundations of verification, validation, and uncertainty quantification

    Google Scholar 

  • Nauck MA, Del Prato S, Durán-García S, Rohwedder K, Langkilde AM, Sugg J, Parikh SJ (2014) Durability of glycaemic efficacy over 2 years with dapagliflozin versus glipizide as add-on therapies in patients whose type 2 diabetes mellitus is inadequately controlled with metformin. Diabetes Obesity Metab n/a–n/a. doi:10.1111/dom.12327

    Google Scholar 

  • NHANES (2015) National Health and Nutrition Examination Survey Data (NHANES I-III). U.S. Department of Health and Human Services, Centers for Disease Control and Prevention. http://www.cdc.gov/nchs/nhanes/prior_nhanes.htm. 2015

  • Ning Y, O’Neill K, Lan H, Pang L, Shan LX, Hawes BE, Hedrick JA (2008) Endogenous and synthetic agonists of GPR119 differ in signalling pathways and their effects on insulin secretion in MIN6c4 insulinoma cells. Br J Pharmacol 155(7):1056–1065

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Nolan CJ, Damm P, Prentki M (2011) Type 2 diabetes across generations: from pathophysiology to prevention and management. Lancet 378(9786):169–181. doi:10.1016/s0140-6736(11)60614-4

    Article  PubMed  Google Scholar 

  • Nunez DJ, Bush MA, Collins DA, McMullen SL, Gillmor D, Feldman PL, Apseloff G, Atiee G, Corsino L, Morrow L (2014) Gut hormone pharmacology of a novel GPR119 agonist (GSK1292263), metformin, and sitagliptin in type 2 diabetes mellitus: results from two randomized studies. PLoS ONE 9(4):e92494

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  • Nyman E, Brännmark C, Palmér R, Brugard J, Nyström FH, Strälfors P, Cedersund G (2011) A hierarchical whole-body modeling approach elucidates the link between in vitro insulin signaling and in vivo glucose homeostasis. J Biol Chem 286(29):26028–26041

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Nyman E, Cedersund G, Str\aalfors P (2012) Insulin signaling–mathematical modeling comes of age. Trends Endocrinol Metab 23(3):107–115

    Article  CAS  PubMed  Google Scholar 

  • Ostenson CG (2001) The pathophysiology of type 2 diabetes mellitus: an overview. Acta Physiol Scand 171(3):241–247. doi:10.1046/j.1365-201x.2001.00826.x

    Article  CAS  PubMed  Google Scholar 

  • Overton HA, Babbs AJ, Doel SM, Fyfe MCT, Gardner LS, Griffin G, Jackson HC, Procter MJ, Rasamison CM, Tang-Christensen M, Widdowson PS, Williams GM, Reynet C (2006) Deorphanization of a G protein-coupled receptor for oleoylethanolamide and its use in the discovery of small-molecule hypophagic agents. Cell Metab 3(3):167–175

    Article  CAS  PubMed  Google Scholar 

  • Palmér R, Nyman E, Penney M, Marley A, Cedersund G, Agoram B (2014) Effects of IL-1β–blocking therapies in type 2 diabetes mellitus: a quantitative systems pharmacology modeling approach to explore underlying mechanisms. CPT Pharmacometr Syst Pharmacol 3(6). doi:10.1038/psp.2014.16

    Google Scholar 

  • Paul SM, Mytelka DS, Dunwiddie CT, Persinger CC, Munos BH, Lindborg SR, Schacht AL (2010) How to improve R&D productivity: the pharmaceutical industry’s grand challenge. Nat Rev Drug Discovery 9(3):203–214. doi:10.1038/nrd3078

    CAS  PubMed  Google Scholar 

  • Perley MJ, Kipnis DM (1967) Plasma insulin responses to oral and intravenous glucose: studies in normal and diabetic subjects. J Clin Invest 46(12):1954–1962

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Perriello G, Misericordia P, Volpi E, Santucci A, Santucci C, Ferrannini E, Ventura MM, Santeusanio F, Brunetti P, Bolli GB (1994) Acute antihyperglycemic mechanisms of metformin in NIDDM: evidence for suppression of lipid oxidation and hepatic glucose production. Diabetes 43(7):920–928. doi:10.2337/diab.43.7.920

    Article  CAS  PubMed  Google Scholar 

  • Peter R, Dunseath G, Luzio SD, Chudleigh R, Roy Choudhury S, Owens DR (2010) Daytime variability of postprandial glucose tolerance and pancreatic B-cell function using 12-h profiles in persons with Type 2 diabetes. Diabet Med 27(3):266–273. doi:10.1111/j.1464-5491.2010.02949.x

    Article  CAS  PubMed  Google Scholar 

  • Petersen KF, Cline GW, Gerard DP, Magnusson I, Rothman DL, Shulman GI (2001) Contribution of net hepatic glycogen synthesis to disposal of an oral glucose load in humans. Metabolism 50(5):598–601. doi:10.1053/meta.2001.22561

    Article  CAS  PubMed  Google Scholar 

  • Polonsky KS, Given BD, Hirsch LJ, Tillil H, Shapiro ET, Beebe C, Frank BH, Galloway JA, Van Cauter E (1988a) Abnormal patterns of insulin secretion in non-insulin-dependent diabetes mellitus. N Engl J Med 318(19):1231–1239. doi:10.1056/nejm198805123181903

    Article  CAS  PubMed  Google Scholar 

  • Polonsky KS, Given BD, Van Cauter E (1988b) Twenty-four-hour profiles and pulsatile patterns of insulin secretion in normal and obese subjects. J Clin Invest 81(2):442–448. doi:10.1172/jci113339

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Premaratne E, MacIsaac RJ, Tsalamandris C, Panagiotopoulos S, Smith T, Jerums G (2005) Renal hyperfiltration in type 2 diabetes: effect of age-related decline in glomerular filtration rate. Diabetologia 48(12):2486–2493. doi:10.1007/s00125-005-0002-9

    Article  CAS  PubMed  Google Scholar 

  • Quddusi S, Vahl TP, Hanson K, Prigeon RL, D’Alessio DA (2003) Differential effects of acute and extended infusions of glucagon-like peptide-1 on first- and second-phase insulin secretion in diabetic and nondiabetic humans. Diabetes Care 26(3):791–798. doi:10.2337/diacare.26.3.791

    Article  CAS  PubMed  Google Scholar 

  • Quon MJ, Campfield LA (1991) A mathematical model and computer simulation study of insulin receptor regulation. J Theor Biol 150(1):59–72. doi:10.1016/S0022-5193(05)80475-8

    Article  CAS  PubMed  Google Scholar 

  • Rahmoune H, Thompson PW, Ward JM, Smith CD, Hong G, Brown J (2005) Glucose transporters in human renal proximal tubular cells isolated from the urine of patients with non-insulin-dependent diabetes. Diabetes 54(12):3427–3434. doi:10.2337/diabetes.54.12.3427

    Article  CAS  PubMed  Google Scholar 

  • Rave K, Sidharta PN, Dingemanse J, Heinemann L, Roggen K (2010) First-phase insulin secretion has limited impact on postprandial glycemia in subjects with type 2 diabetes: correlations between hyperglycemic glucose clamp and meal test. Diabetes Technol Ther 12(2):117–123. doi:10.1089/dia.2009.0103

    Article  CAS  PubMed  Google Scholar 

  • Roden M (2001) Non-invasive studies of glycogen metabolism in human skeletal muscle using nuclear magnetic resonance spectroscopy. Curr Opin Clin Nutr Metab Care 4(4):261–266

    Article  CAS  PubMed  Google Scholar 

  • Rohlfing CL, Wiedmeyer H-M, Little RR, England JD, Tennill A, Goldstein DE (2002) Defining the relationship between plasma glucose and HbA1c analysis of glucose profiles and HbA1c in the diabetes control and complications trial. Dia Care 25(2):275–278. doi:10.2337/diacare.25.2.275

    Article  CAS  Google Scholar 

  • Ruhnau B, Faber OK, Borch-Johnsen K, Thorsteinsson B (1997) Renal threshold for glucose in non-insulin-dependent diabetic patients. Diabetes Res Clin Pract 36(1):27–33. doi:10.1016/S0168-8227(97)01389-2

    Article  CAS  PubMed  Google Scholar 

  • Saltelli A, Tarantola S, Campolongo F, Ratto M (2004) Sensitivity analysis in practice: a guide to assessing scientific models, 1st edn. Wiley, Hoboken

    Google Scholar 

  • Saltelli A, Tarantola S, Chan KPS (1999) A quantitative model-independent method for global sensitivity analysis of model output. Technometrics 41(1):39–56. doi:10.1080/00401706.1999.10485594

    Article  Google Scholar 

  • Salway JG (2004) Metabolism at a glance, 4th edn. Wiley, Oxford

    Google Scholar 

  • Samsom M, Bharucha A, Gerich JE, Herrmann K, Limmer J, Linke R, Maggs D, Schirra J, Vella A, Worle HJ, Goke B (2009) Diabetes mellitus and gastric emptying: questions and issues in clinical practice. Diabetes Metab Res Rev 25(6):502–514. doi:10.1002/dmrr.974

    Article  PubMed  Google Scholar 

  • Sedaghat AR, Sherman A, Quon MJ (2002) A mathematical model of metabolic insulin signaling pathways. Am J Physiol 283 (5 Pt. 1):E1084–E1101

    Google Scholar 

  • Seimon RV, Brennan IM, Russo A, Little TJ, Jones KL, Standfield S, Wishart JM, Horowitz M, Feinle-Bisset C (2013) Gastric emptying, mouth-to-cecum transit, and glycemic, insulin, incretin, and energy intake responses to a mixed-nutrient liquid in lean, overweight, and obese males. Am J Physiol Endocrinol Metab 304(3):E294–E300. doi:10.1152/ajpendo.00533.2012

    Article  CAS  PubMed  Google Scholar 

  • Seino S, Shibasaki T, Minami K (2011) Dynamics of insulin secretion and the clinical implications for obesity and diabetes. J Clin Invest 121(6):2118–2125. doi:10.1172/JCI45680

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Silber HE, Frey N, Karlsson MO (2010) An integrated glucose-insulin model to describe oral glucose tolerance test data in healthy volunteers. J Clin Pharmacol 50(3):246–256. doi:10.1177/0091270009341185

    Article  CAS  PubMed  Google Scholar 

  • Soga T, Ohishi T, Matsui T, Saito T, Matsumoto M, Takasaki J, S-i Matsumoto, Kamohara M, Hiyama H, Yoshida S, Momose K, Ueda Y, Matsushime H, Kobori M, Furuichi K (2005) Lysophosphatidylcholine enhances glucose-dependent insulin secretion via an orphan G-protein-coupled receptor. Biochem Biophys Res Commun 326(4):744–751

    Article  CAS  PubMed  Google Scholar 

  • Stephenson MC, Leverton E, Khoo EYH, Poucher SM, Johansson L, Lockton JA, Eriksson JW, Mansell P, Morris PG, MacDonald IA (2013) Variability in fasting lipid and glycogen contents in hepatic and skeletal muscle tissue in subjects with and without type 2 diabetes: a 1H and 13C MRS study. NMR Biomed 26(11):1518–1526. doi:10.1002/nbm.2985

    Article  CAS  PubMed  Google Scholar 

  • Sumner T (2010) Sensitivity analysis in systems biology modelling and its application to a multi-scale model of blood glucose homeostasis. UCL (University College London)

    Google Scholar 

  • Taylor IL, Feldman M (1982) Effect of cephalic-vagal stimulation on insulin, gastric inhibitory polypeptide, and pancreatic polypeptide release in humans. J Clin Endocrinol Metab 55(6):1114–1117. doi:10.1210/jcem-55-6-1114

    Article  CAS  PubMed  Google Scholar 

  • Toffolo G, Basu R, Dalla Man C, Rizza R, Cobelli C (2006) Assessment of postprandial glucose metabolism: conventional dual- vs. triple-tracer method. Am J Physiol Endocrinol Metab 291(4):E800–E806. doi:10.1152/ajpendo.00461.2005

    Google Scholar 

  • Tomiyasu M, Obata T, Nishi Y, Nakamoto H, Nonaka H, Takayama Y, Autio J, Ikehira H, Kanno I (2010) Monitoring of liver glycogen synthesis in diabetic patients using carbon-13 MR spectroscopy. Eur J Radiol 73(2):300–304. doi:10.1016/j.ejrad.2008.10.019

    Article  PubMed  Google Scholar 

  • UK Prospective Diabetes Study (UKPDS) Group (1998a) Effect of intensive blood-glucose control with metformin on complications in overweight patients with type 2 diabetes (UKPDS 34). Lancet 352(9131):854–865

    Article  Google Scholar 

  • UK Prospective Diabetes Study (UKPDS) Group (1998b) Intensive blood-glucose control with sulphonylureas or insulin compared with conventional treatment and risk of complications in patients with type 2 diabetes (UKPDS 33). Lancet 352(9131):837–853. doi:10.1016/S0140-6736(98)07019-6

    Article  Google Scholar 

  • Vicini P, Cobelli C (2001) The iterative two-stage population approach to IVGTT minimal modeling: improved precision with reduced sampling. Am J Physiol 280 (1 Pt. 1):E179–E186

    Google Scholar 

  • Vilsbøll T, Krarup T, Sonne J, Madsbad S, Vølund A, Juul AG, Holst JJ (2003) Incretin secretion in relation to meal size and body weight in healthy subjects and people with type 1 and type 2 diabetes mellitus. J Clin Endocrinol Metab 88(6):2706–2713. doi:10.1210/jc.2002-021873

    Google Scholar 

  • Watts NBM, Digirolamo MM (1990) Carbohydrate tolerance improves with fasting in obese subjects with noninsulin-dependent (type II) diabetes. Am J Med Sci 299(4):250–256

    Article  CAS  PubMed  Google Scholar 

  • Wikipedia contributors (2015) Template: oral hypoglycemics and insulin analogs. Wikipedia, the free encyclopedia

    Google Scholar 

  • Wilding JPH, Norwood P, T’joen C, Bastien A, List JF, Fiedorek FT (2009) A study of dapagliflozin in patients with type 2 diabetes receiving high doses of insulin plus insulin sensitizers: applicability of a novel insulin-independent treatment. Dia Care 32(9):1656–1662. doi:10.2337/dc09-0517

    Article  CAS  Google Scholar 

  • Wilmes A, Limonciel A, Aschauer L, Moenks K, Bielow C, Leonard MO, Hamon J, Carpi D, Ruzek S, Handler A, Schmal O, Herrgen K, Bellwon P, Burek C, Truisi GL, Hewitt P, Di Consiglio E, Testai E, Blaauboer BJ, Guillou C, Huber CG, Lukas A, Pfaller W, Mueller SO, Bois FY, Dekant W, Jennings P (2013) Application of integrated transcriptomic, proteomic and metabolomic profiling for the delineation of mechanisms of drug induced cell stress. J Proteom 79:180–194. doi:10.1016/j.jprot.2012.11.022

    Article  CAS  Google Scholar 

  • Wolf S, Rave K, Heinemann L, Roggen K (2009) Renal glucose excretion and tubular reabsorption rate related to blood glucose in subjects with type 2 diabetes with a critical reappraisal of the “renal glucose threshold” model. Horm Metab Res 41(08):600–604. doi:10.1055/s-0029-1220723

    Article  CAS  PubMed  Google Scholar 

  • Wright EM, Hirayama BA, Loo DF (2007) Active sugar transport in health and disease. J Intern Med 261(1):32–43. doi:10.1111/j.1365-2796.2006.01746.x

    Article  CAS  PubMed  Google Scholar 

  • Zhang L, Feng Y, List J, Kasichayanula S, Pfister M (2010) Dapagliflozin treatment in patients with different stages of type 2 diabetes mellitus: effects on glycaemic control and body weight. Diabetes Obes Metab 12(6):510–516. doi:10.1111/j.1463-1326.2010.01216.x

    Article  CAS  PubMed  Google Scholar 

  • Zimei W (2013) Mathematical models with delays for glucose insulin regulation and applications in artificial pancreas. PhD, National University of Singapore, Singapore

    Google Scholar 

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Acknowledgments

We gratefully acknowledge the contributions of G. Nucci (Pfizer), N. Haddish (Pfizer), A. Ghosh (Pfizer) and M. Reed (Entelos) to the SGLT2 modeling; and D. Tess (Pfizer), D. Chen (Pfizer), P. Cornelius (Pfizer), and A. Ghosh, and R. Baillie (Rosa), C. Friedrich (Rosa), and R. Beaver (Rosa) in the collaborative modeling used in the GPR119 work. Paul DaSilva-Jardine (Pfizer) and Tim Rolph (Pfizer) provided critical management support and guidance, and Jeff Trimmer (Pfizer) provided valuable early guidance in writing this chapter.

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Bosley, J.R., Maurer, T.S., Musante, C.J. (2016). Systems Pharmacology Modeling in Type 2 Diabetes Mellitus. In: Mager, D., Kimko, H. (eds) Systems Pharmacology and Pharmacodynamics. AAPS Advances in the Pharmaceutical Sciences Series, vol 23. Springer, Cham. https://doi.org/10.1007/978-3-319-44534-2_20

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