A model of β-cell mass, insulin, and glucose kinetics: pathways to diabetes

TOPP, BRIAN; PROMISLOW, KEITH; DEVRIES, GERDA; MIURA, ROBERT M; FINEGOOD, DIANE T

doi:10.1006/jtbi.2000.2150

Cited by 330Pancreatic function and diabetesDiabetes Management and ResearchDiabetes and associated disorders

A model of β-cell mass, insulin, and glucose kinetics: pathways to diabetes

TOPP, BRIAN, PROMISLOW, KEITH, DEVRIES, GERDA, MIURA, ROBERT M, FINEGOOD, DIANE T·2000·Journal of Theoretical Biology

DOI 10.1006/jtbi.2000.2150

Open this paper in CoChat — free account

Abstract

Diabetes is a disease of the glucose regulatory system that is associated with increased morbidity and early mortality. The primary variables of this system are beta-cell mass, plasma insulin concentrations, and plasma glucose concentrations. Existing mathematical models of glucose regulation incorporate only glucose and/or insulin dynamics. Here we develop a novel model of beta -cell mass, insulin, and glucose dynamics, which consists of a system of three nonlinear ordinary differential equations, where glucose and insulin dynamics are fast relative to beta-cell mass dynamics. For normal parameter values, the model has two stable fixed points (representing physiological and pathological steady states), separated on a slow manifold by a saddle point. Mild hyperglycemia leads to the growth of the beta -cell mass (negative feedback) while extreme hyperglycemia leads to the reduction of the beta-cell mass (positive feedback). The model predicts that there are three pathways in prolonged hyperglycemia: (1) the physiological fixed point can be shifted to a hyperglycemic level (regulated hyperglycemia), (2) the physiological and saddle points can be eliminated (bifurcation), and (3) progressive defects in glucose and/or insulin dynamics can drive glucose levels up at a rate faster than the adaptation of the beta -cell mass which can drive glucose levels down (dynamical hyperglycemia).

Integrity signals

Registry

Crossref · 10.1006/jtbi.2000.2150

Cites

58 of 58 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

This paper’s full text isn’t openly available, so its claims and self-check weren’t run. The registry and citation checks still apply.

Homeostasis model assessment: insulin resistance and ?-cell function from fasting plasma glucose and insulin concentrations in man
Matthews, D. R., Hosker, J. P., Rudenski, A. S., Naylor, B. A., Treacher, D. F., & Turner, R. C. (1985) · Diabetologia · doi:10.1007/bf00280883 · Cited by 31,502 · see citing works
Report of the Expert Committee on the Diagnosis and Classification of Diabetes Mellitus
The Expert Committee on the Diagnosis and Classification of Diabetes Mellitus (1997) · Diabetes Care · doi:10.2337/diacare.20.7.1183 · Cited by 6,220 · see citing works
Pathogenesis of NIDDM. A balanced overview.
DeFronzo, R. A., Bonadonna, R. C., & Ferrannini, E. (1992) · Diabetes Care · doi:10.2337/diacare.15.3.318 · Cited by 2,085 · see citing works
Quantitative estimation of insulin sensitivity.
Bergman, R. N., Ider, Y. Z., Bowden, C. R., & Cobelli, C. (1979) · American Journal of Physiology-Endocrinology and Metabolism · doi:10.1152/ajpendo.1979.236.6.e667 · Cited by 1,874 · see citing works
INFLUENCES OF GLUCOSE LOADING AND OF INJECTED INSULIN ON HEPATIC GLUCOSE OUTPUT*
Steele, R. D. (1959) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1959.tb44923.x · Cited by 1,680 · see citing works
Physiologic evaluation of factors controlling glucose tolerance in man: measurement of insulin sensitivity and beta-cell glucose sensitivity from the response to intravenous glucose
Bergman, R. N., Phillips, L. S., & Cobelli, C. (1981) · Journal of Clinical Investigation · doi:10.1172/jci110398 · Cited by 1,640 · see citing works
Exendin-4 stimulates both beta-cell replication and neogenesis, resulting in increased beta-cell mass and improved glucose tolerance in diabetic rats.
Xu, G., Stoffers, D. A., Habener, J. F., & Bonner-Weir, S. (1999) · Diabetes · doi:10.2337/diabetes.48.12.2270 · Cited by 1,209 · see citing works
Fatty acid-induced β cell apoptosis: A link between obesity and diabetes
Shimabukuro, M., Zhou, Y.-T., Levi, M., & Unger, R. H. (1998) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.95.5.2498 · Cited by 1,142 · see citing works
Glucose induces closure of single potassium channels in isolated rat pancreatic β-cells
Ashcroft, F. M., Harrison, D. E., & Ashcroft, S. J. H. (1984) · Nature · doi:10.1038/312446a0 · Cited by 1,113 · see citing works
Lipotoxicity in the Pathogenesis of Obesity-Dependent NIDDM: Genetic and Clinical Implications
Unger, R. H. (1995) · Diabetes · doi:10.2337/diab.44.8.863 · Cited by 1,100 · see citing works
Assessment of Insulin Sensitivityin Vivo*
Bergman, R. N., Finegood, D. T., & Ader, M. (1985) · Endocrine Reviews · doi:10.1210/edrv-6-1-45 · Cited by 1,062 · see citing works
A Second Pathway for Regeneration of Adult Exocrine and Endocrine Pancreas: A Possible Recapitulation of Embryonic Development
Bonner‐Weir, S., Baxter, L. A., Schuppin, G. T., & Smith, F. E. (1993) · Diabetes · doi:10.2337/diab.42.12.1715 · Cited by 675 · see citing works
Islet pathology and the pathogenesis of type 1 and type 2 diabetes mellitus revisited.
Klöppel, G., Löhr, M., Habich, K., Oberholzer, M., & Heitz, P. (1985) · Survey and Synthesis of Pathology Research · doi:10.1159/000156969 · Cited by 645 · see citing works
Dynamics of β-cell Mass in the Growing Rat Pancreas: Estimation With a Simple Mathematical Model
Finegood, D. T., Scaglia, L., & Bonner‐Weir, S. (1995) · Diabetes · doi:10.2337/diab.44.3.249 · Cited by 604 · see citing works
Estimation of Endogenous Glucose Production During Hyperinsulinemic-Euglycemic Glucose Clamps: Comparison of Unlabeled and Labeled Exogenous Glucose Infusates
Finegood, D. T., Bergman, R. N., & Vranić, M. (1987) · Diabetes · doi:10.2337/diab.36.8.914 · Cited by 546 · see citing works
Hyperglycaemia as an inducer as well as a consequence of impaired islet cell function and insulin resistance: implications for the management of diabetes
Unger, R. H., & Grundy, S. M. (1985) · Diabetologia · doi:10.1007/bf00273856 · Cited by 452 · see citing works
Compensatory Growth of Pancreatic β-Cells in Adult Rats After Short-Term Glucose Infusion
Bonner‐Weir, S., Deery, D. J., Leahy, J. L., & Weir, G. C. (1989) · Diabetes · doi:10.2337/diab.38.1.49 · Cited by 444 · see citing works
Glucose and Tolbutamide Induce Apoptosis in Pancreatic β-Cells
Efanova, I. B., Zaitsev, S. V., Zhivotovsky, B., Köhler, M. G., Efendić, S., Orrenius, S., & Berggren, P. (1998) · Journal of Biological Chemistry · doi:10.1074/jbc.273.50.33501 · Cited by 364 · see citing works
Glucose stimulates proinsulin biosynthesis by a dose-dependent recruitment of pancreatic beta cells
Schuit, F. C., In't Veld, P. A., & Pipeleers, D. G. (1988) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.85.11.3865 · Cited by 308 · see citing works
Quantitative Estimation of Beta Cell Sensitivity to Glucose in the Intact Organism: A Minimal Model of Insulin Kinetics in the Dog
Toffolo, G., Bergman, R. N., Finegood, D. T., Bowden, C. R., & Cobelli, C. (1980) · Diabetes · doi:10.2337/diab.29.12.979 · Cited by 292 · see citing works
Evolution of β-Cell Dysfunction in the Male Zucker Diabetic Fatty Rat
Tokuyama, Y., Sturis, J., DePaoli, A. M., Takeda, J., Stoffel, M., Tang, J., Sun, X., Polonsky, K. S., & Bell, G. I. (1995) · Diabetes · doi:10.2337/diab.44.12.1447 · Cited by 280 · see citing works
Glucose promotes survival of rat pancreatic beta cells by activating synthesis of proteins which suppress a constitutive apoptotic program.
Hoorens, A., de Casteele, M. V., Klöppel, G., & PIPELEERS, D. G. (1996) · Journal of Clinical Investigation · doi:10.1172/jci118950 · Cited by 276 · see citing works
Insulin-like Growth Factor I (IGF-I)-stimulated Pancreatic β-Cell Growth Is Glucose-dependent
Hügl, S., White, M. F., & Rhodes, C. J. (1998) · Journal of Biological Chemistry · doi:10.1074/jbc.273.28.17771 · Cited by 253 · see citing works
Heterogeneity and contact-dependent regulation of hormone secretion by individual B cells
Salomon, D., & Meda, P. (1986) · Experimental Cell Research · doi:10.1016/0014-4827(86)90354-x · Cited by 252 · see citing works
Acute enhancement of insulin secretion by FFA in humans is lost with prolonged FFA elevation
Carpentier, A. C., Mittelman, S. D., Lamarche, B., Bergman, R. N., Giacca, A., & Lewis, G. F. (1999) · American Journal of Physiology-Endocrinology and Metabolism · doi:10.1152/ajpendo.1999.276.6.e1055 · Cited by 252 · see citing works
Natural History of β-Cell Dysfunction in NIDDM
Leahy, J. L. (1990) · Diabetes Care · doi:10.2337/diacare.13.9.992 · Cited by 248 · see citing works
Perspective: Postnatal Pancreatic β Cell Growth
Bonner‐Weir, S. (2000) · Endocrinology · doi:10.1210/endo.141.6.7567 · Cited by 247 · see citing works
Differentiation of New Insulin-Producing Cells Is Induced by Injury in Adult Pancreatic Islets1
Fernandes, A., King, L. C., Guz, Y., Stein, R. W., Wright, C. V. E., & Teitelman, G. (1997) · Endocrinology · doi:10.1210/endo.138.4.5049 · Cited by 228 · see citing works
7 Dyslipidaemia and obesity
Després, J. (1994) · Baillière s Clinical Endocrinology and Metabolism · doi:10.1016/s0950-351x(05)80289-7 · Cited by 203 · see citing works
Glucose Disposal is Not Proportional to Plasma Glucose Level in Man
Best, J., Taborsky, G., Halter, J., & Porte, D. (1981) · Diabetes · doi:10.2337/diab.30.10.847 · Cited by 188 · see citing works
Prolonged exposure of human beta cells to elevated glucose levels results in sustained cellular activation leading to a loss of glucose regulation.
Ling, Z., & PIPELEERS, D. G. (1996) · Journal of Clinical Investigation · doi:10.1172/jci119108 · Cited by 173 · see citing works
Free fatty acids impair hepatic insulin extraction in vivo.
Wiesenthal, S. R., Sandhu, H., McCall, R. H., Tchipashvili, V., Yoshii, H., Polonsky, K. S., Shi, Z. Q., Lewis, G. F., Mari, A., & Giacca, A. (1999) · Diabetes · doi:10.2337/diabetes.48.4.766 · Cited by 167 · see citing works
Roles of insulin resistance and beta-cell dysfunction in dexamethasone-induced diabetes.
Ogawa, A., Johnson, J. H., Ohneda, M., McAllister, C. T., Inman, L., Alam, T., & Unger, R. H. (1992) · Journal of Clinical Investigation · doi:10.1172/jci115886 · Cited by 159 · see citing works
The Role of Glucose in the In Vitro Regulation of Cell Cycle Kinetics and Proliferation of Fetal Pancreatic B-Cells
Swenne, I. (1982) · Diabetes · doi:10.2337/diab.31.9.754 · Cited by 154 · see citing works
A New Method for the Measurementin Vitroof Pancreatic Insulin Secretion
Malaisse, W. J., MALAISSE-LAGAE, F., & Wright, P. H. (1967) · Endocrinology · doi:10.1210/endo-80-1-99 · Cited by 154 · see citing works
Neogenesis vs. apoptosis as main components of pancreatic β cell mass changes in glucose‐infused normal and mildly diabetic adult rats
Bernard, C., Berthault, M., Saulnier, C., & Ktorza, A. (1999) · The FASEB Journal · doi:10.1096/fasebj.13.10.1195 · Cited by 130 · see citing works
Insulin Secretion and Hepatic Extraction in Humans by Minimal Modeling of C-Peptide and Insulin Kinetics
Cobelli, C., & Pacini, G. (1988) · Diabetes · doi:10.2337/diab.37.2.223 · Cited by 121 · see citing works
Understanding “insulin resistance”: Both glucose resistance and insulin resistance are required to model human diabetes
Rudenski, A. S., Matthews, D. R., Lévy, J., & Turner, R. C. (1991) · Metabolism · doi:10.1016/0026-0495(91)90065-5 · Cited by 117 · see citing works
Severe Diabetes Induced in Subtotally Depancreatized Dogs by Sustained Hyperglycemia
Imamura, T., Koffler, M., Helderman, J. H., Prince, D., Thirlby, R. C., Inman, L. R., & Unger, R. H. (1988) · Diabetes · doi:10.2337/diab.37.5.600 · Cited by 112 · see citing works
Glucose toxicity: the implications of hyperglycemia in the pathophysiology of diabetes mellitus.
Rossetti, L. (1995) · PubMed · Cited by 87 · see citing works
Insulin Resistance in Obesity: Metabolic Mechanisms and Measurement Methods
Belfiore, F., & Iannello, S. (1998) · Molecular Genetics and Metabolism · doi:10.1006/mgme.1998.2727 · Cited by 79 · see citing works
The realiability of rates of glucose appearance in vivo calculated from constant tracer infusions
Allsop, J. R., Wolfe, R. R., & Burke, J. F. (1978) · Biochemical Journal · doi:10.1042/bj1720407 · Cited by 78 · see citing works
Actively Synthesizingβ-Cells Secrete Preferentially after Glucose Stimulation*
Bosco, D., & Meda, P. (1991) · Endocrinology · doi:10.1210/endo-129-6-3157 · Cited by 77 · see citing works
Insulin deficiency and insulin resistance in the pathogenesis of NIDDM: is a divorce possible?
Cerasi, E. (1995) · Diabetologia · doi:10.1007/bf00400591 · Cited by 77 · see citing works
REVIEW ARTICLE. THE MOLECULAR PATHOLOGY OF SMALL ROUND-CELL TUMOURS—RELEVANCE TO DIAGNOSIS, PROGNOSIS, AND CLASSIFICATION
McManus, A. P., Gusterson, B. A., Pinkerton, R., & SHIPLEY, J. M. (1996) · The Journal of Pathology · doi:10.1002/(sici)1096-9896(199602)178:2 · Cited by 76 · see citing works
Reduced β-cell function contributes to impaired glucose tolerance in dogs made obese by high-fat feeding
Kaiyala, K. J., Prigeon, R. L., Kahn, S. E., Woods, S. C., Porte, D., & Schwartz, M. W. (1999) · American Journal of Physiology-Endocrinology and Metabolism · doi:10.1152/ajpendo.1999.277.4.e659 · Cited by 75 · see citing works
Relationship of insulin clearance and secretion to insulin sensitivity in non‐diabetic Mexican Americans
Haffner, S. M., D, M. P. S. M., Watanabe, R. M., & Bergman, R. N. (1992) · European Journal of Clinical Investigation · doi:10.1111/j.1365-2362.1992.tb01819.x · Cited by 60 · see citing works
Evolution of Abnormal Insulin Secretory Responses During 48-h In Vivo Hyperglycemia
Leahy, J. L., & Weir, G. C. (1988) · Diabetes · doi:10.2337/diab.37.2.217 · Cited by 57 · see citing works
Changes in Pancreatic Islet Glucokinase and Hexokinase Activities With Increasing Age, Obesity, and the Onset of Diabetes
Cockburn, B. N., Ostrega, D., Sturis, J., Kubstrup, C., Polonsky, K. S., & Bell, G. I. (1997) · Diabetes · doi:10.2337/diab.46.9.1434 · Cited by 57 · see citing works
A specific increased expression of insulin receptor substrate 2 in pancreatic beta-cell lines is involved in mediating serum-stimulated beta-cell growth.
Schuppin, G. T., Pons, S., Hügl, S., Aiello, L. P., King, G. L., White, M. F., & Rhodes, C. J. (1998) · Diabetes · doi:10.2337/diabetes.47.7.1074 · Cited by 51 · see citing works
A compartmental model to quantitate in vivo glucose transport in the human forearm
Cobelli, C., Saccomani, M. P., Ferrannini, E., DeFronzo, R. A., Gelfand, R., & Bonadonna, R. C. (1989) · American Journal of Physiology-Endocrinology and Metabolism · doi:10.1152/ajpendo.1989.257.6.e943 · Cited by 43 · see citing works
Increased Proinsulin/Insulin Ratio in Pancreas Extracts of Hyperglycemic Rats
Leahy, J. L. (1993) · Diabetes · doi:10.2337/diab.42.1.22 · Cited by 31 · see citing works
Dynamics of pancreatic cell growth and differentiation during diabetes reversion in STZ-treated newborn rats
Ferrand, N., Astesano, A., Phan, H. H., Lelong, C., & Rosselin, G. (1995) · American Journal of Physiology-Cell Physiology · doi:10.1152/ajpcell.1995.269.5.c1250 · Cited by 30 · see citing works
Adaptation to hyperglycemia enhances insulin secretion in glucokinase mutant mice.
Sreenan, S., Cockburn, B. N., Baldwin, A. C., Ostrega, D., Levisetti, M. G., Grupe, A., Bell, G. I., Stewart, T. A., Roe, M. W., & Polonsky, K. S. (1998) · Diabetes · doi:10.2337/diabetes.47.12.1881 · Cited by 25 · see citing works
On a simple model of insulin secretion
Cobelli, C., Pacini, G., & Salvan, A. (1980) · Medical & Biological Engineering & Computing · doi:10.1007/bf02443317 · Cited by 18 · see citing works
Markedly Reduced β-Cell Function Does Not Result in Insulin Resistance in Islet Autografted Dogs
Tobin, B. W., Lewis, J. T., Lobin, B. L., Rajotte, R. V., & Finegood, D. T. (1992) · Diabetes · doi:10.2337/diab.41.9.1172 · Cited by 16 · see citing works
Glucose-induced insulin secretion by perfused pancreas of 2- and 12-mo-old Fischer 344 rats
CURRY, D. L., Reaven, G. M., & REAVEN, E. P. (1984) · American Journal of Physiology-Endocrinology and Metabolism · doi:10.1152/ajpendo.1984.247.3.e385 · Cited by 13 · see citing works
Pharmacokinetic Approach to the Estimation of Hepatic Removal of Insulin
Berzins, R., Tam, Y. K., Molnar, G. D., Rajotte, R. V., Wieczorek, K., McGregor, J. R., & Fawcett, D. M. (1986) · Pancreas · doi:10.1097/00006676-198611000-00013 · Cited by 10 · see citing works

Flagged first, then by citations

2 of the 60 references couldn’t be matched to a known paper.

Sorted by citations

The Limits of Reductionism in Medicine: Could Systems Biology Offer an Alternative?
Ahn, A. C., Tewari, M., Poon, C., & Phillips, R. S. (2006) · PLoS Medicine · doi:10.1371/journal.pmed.0030208 · Cited by 510 · see citing works
Mathematical models and software tools for the glucose-insulin regulatory system and diabetes: an overview
Makroglou, A., Li, J., & Kuang, Y. (2006) · Applied Numerical Mathematics · doi:10.1016/j.apnum.2005.04.023 · Cited by 367 · see citing works
The evolution of β‐cell dysfunction and insulin resistance in type 2 diabetes
Bergman, R. N., Finegood, D. T., & Kahn, S. E. (2002) · European Journal of Clinical Investigation · doi:10.1046/j.1365-2362.32.s3.5.x · Cited by 302 · see citing works
Transcription Factor 7-Like 2 Regulates β-Cell Survival and Function in Human Pancreatic Islets
Shu, L., Sauter, N. S., Schulthess, F. T., Matveyenko, A. V., Oberholzer, J., & Maedler, K. (2007) · Diabetes · doi:10.2337/db07-0847 · Cited by 263 · see citing works
Retracted
Modeling the glucose–insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays
Li, J., Kuang, Y., & Mason, C. C. (2006) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2006.04.002 · Cited by 241 · see citing works
A new model for the HPA axis explains dysregulation of stress hormones on the timescale of weeks
Karin, O., Raz, M., Tendler, A., Bar, A., Korem Kohanim, Y., Milo, T., & Alon, U. (2020) · Molecular Systems Biology · doi:10.15252/msb.20209510 · Cited by 200 · see citing works
The Clinical Applications of a Systems Approach
Ahn, A. C., Tewari, M., Poon, C., & Phillips, R. S. (2006) · PLoS Medicine · doi:10.1371/journal.pmed.0030209 · Cited by 198 · see citing works
Mathematical modeling of the glucose–insulin system: A review
Palumbo, P. J., Ditlevsen, S., BERTUZZI, A., & Gaetano, A. D. (2013) · Mathematical Biosciences · doi:10.1016/j.mbs.2013.05.006 · Cited by 183 · see citing works
The impact of mathematical modeling on the understanding of diabetes and related complications
Ajmera, I., Swat, M., Laibe, C., Le Novère, N., & Chelliah, V (2013) · CPT: Pharmacometrics & Systems Pharmacology · doi:10.1038/psp.2013.30 · Cited by 153 · see citing works
A local glucose-and oxygen concentration-based insulin secretion model for pancreatic islets
Buchwald, P. (2011) · Theoretical Biology and Medical Modelling · doi:10.1186/1742-4682-8-20 · Cited by 125 · see citing works
Mathematical models of diabetes progression
Gaetano, A. D., Hardy, T. A., Beck, B., Abu-Raddad, E., Palumbo, P. J., Bue‐Valleskey, J. M., & Pørksen, N. K. (2008) · American Journal of Physiology-Endocrinology and Metabolism · doi:10.1152/ajpendo.90444.2008 · Cited by 119 · see citing works
A discrete Single Delay Model for the Intra-Venous Glucose Tolerance Test
Panunzi, S., Palumbo, P. J., & Gaetano, A. D. (2007) · Theoretical Biology and Medical Modelling · doi:10.1186/1742-4682-4-35 · Cited by 110 · see citing works
Deteriorating beta–cell function in type 2 diabetes: a long–term model
Bagust, A., & Beale, S. (2003) · QJM: An International Journal of Medicine · doi:10.1093/qjmed/hcg040 · Cited by 105 · see citing works
Identifiability analysis for stochastic differential equation models in systems biology
Browning, A. P., Warne, D. J., Burrage, K., Baker, R. E., & Simpson, M. J. (2020) · Journal of The Royal Society Interface · doi:10.1098/rsif.2020.0652 · Cited by 103 · see citing works
Analysis of a model of the glucose-insulin regulatory system with two delays
Li, J., & Kuang, Y. (2007) · SIAM Journal on Applied Mathematics · doi:10.1137/050634001 · Cited by 96 · see citing works
Pharmacokinetic/Pharmacodynamic Modelling in??Diabetes Mellitus
Landersdorfer, C. B., & Jusko, W. J. (2008) · Clinical Pharmacokinetics · doi:10.2165/00003088-200847070-00001 · Cited by 95 · see citing works
A mathematical model of the pathogenesis, prevention, and reversal of type 2 diabetes
Ha, J., Satin, L. S., & Sherman, A. S. (2016) · Endocrinology · doi:10.1210/en.2015-1564 · Cited by 93 · see citing works
Senescent cells and the incidence of age‐related diseases
Katzir, I., Adler, M., Karin, O., Cohen, N. M., Mayo, A., & Alon, U. (2021) · Aging Cell · doi:10.1111/acel.13314 · Cited by 89 · see citing works
Practical applications of chaos theory to the modulation of human ageing: nature prefers chaos to regularity
Kyriazis, M. (2003) · Biogerontology · doi:10.1023/a:1023306419861 · Cited by 92 · see citing works
Dynamical compensation in physiological circuits
Karin, O., Swisa, A., Gläser, B., Dor, Y., & Alon, U. S. (2016) · Molecular Systems Biology · doi:10.15252/msb.20167216 · Cited by 87 · see citing works
Possible Role of Interleukin-1β in Type 2 Diabetes Onset and Implications for Anti-inflammatory Therapy Strategies
Zhao, G., Dharmadhikari, G., Maedler, K., & Meyer‐Hermann, M. (2014) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1003798 · Cited by 77 · see citing works
Induction of β-Cell Rest by a Kir6.2/SUR1-Selective KATP-Channel Opener Preserves β-Cell Insulin Stores and Insulin Secretion in Human Islets Cultured at High (11 mM) Glucose
Ritzel, R. A., Hansen, J. B., Veldhuis, J. D., & Butler, P. C. (2004) · The Journal of Clinical Endocrinology & Metabolism · doi:10.1210/jc.2003-031120 · Cited by 74 · see citing works
Opportunities and Challenges in Building a Spatiotemporal Multi-scale Model of the Human Pancreatic β Cell
Singla, J., McClary, K. M., White, K. L., Alber, F., Šali, A., & Stevens, R. C. (2018) · Cell · doi:10.1016/j.cell.2018.03.014 · Cited by 69 · see citing works
Mathematical Modeling for the Physiological and Clinical Investigation of Glucose Homeostasis and Diabetes
Mari, A., Tura, A., Grespan, E., & Bizzotto, R. (2020) · Frontiers in Physiology · doi:10.3389/fphys.2020.575789 · Cited by 69 · see citing works
Metabolic adaptations to chronic glucose infusion in rats
Topp, B. G., McArthur, M. D., & Finegood, D. T. (2004) · Diabetologia · doi:10.1007/s00125-004-1493-5 · Cited by 69 · see citing works
On the ubiquitous presence of fractals and fractal concepts in pharmaceutical sciences: A review
Pippa, Ν., Dokoumetzidis, A., Demetzos, C., & Macheras, P. E. (2013) · International Journal of Pharmaceutics · doi:10.1016/j.ijpharm.2013.08.087 · Cited by 68 · see citing works
A conceptual review on systems biology in health and diseases: from biological networks to modern therapeutics
Somvanshi, P. R., & Venkatesh, K. V. (2013) · Systems and Synthetic Biology · doi:10.1007/s11693-013-9125-3 · Cited by 68 · see citing works
Mathematical modeling in glucose metabolism and insulin secretion
Mari, A. (2002) · Current Opinion in Clinical Nutrition & Metabolic Care · doi:10.1097/00075197-200209000-00007 · Cited by 67 · see citing works
Mathematical modeling and qualitative analysis of insulin therapies
Wang, H., Li, J., & Kuang, Y. (2007) · Mathematical Biosciences · doi:10.1016/j.mbs.2007.05.008 · Cited by 65 · see citing works
Chaos and coexisting attractors in glucose-insulin regulatory system with incommensurate fractional-order derivatives
Debbouche, N., Almatroud, A. O., Ouannas, A., & Batiha, I. M. (2021) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2020.110575 · Cited by 64 · see citing works
Advanced Tailored Randomness: A Novel Approach for Improving the Efficacy of Biological Systems
Ilan, Y. (2019) · Journal of Computational Biology · doi:10.1089/cmb.2019.0231 · Cited by 63 · see citing works
Type 2 diabetes: one disease, many pathways
Ha, J., & Sherman, A. (2020) · American Journal of Physiology-Endocrinology and Metabolism · doi:10.1152/ajpendo.00512.2019 · Cited by 65 · see citing works
Mathematical models of energy homeostasis
Pattaranit, R., & van den Berg, H. A. (2008) · Journal of The Royal Society Interface · doi:10.1098/rsif.2008.0216 · Cited by 61 · see citing works
The Type 1 Diabetes PhysioLab® Platform: a validated physiologically based mathematical model of pathogenesis in the non-obese diabetic mouse
Shoda, L. K. M., Kreuwel, H. T. C., Gadkar, K. G., Zheng, Y., Whiting, C. C., Atkinson, M. A., Bluestone, J. A., Mathis, D. J., Young, D. L., & Ramanujan, S. (2010) · Clinical & Experimental Immunology · doi:10.1111/j.1365-2249.2010.04166.x · Cited by 56 · see citing works
Dynamics of insulin sensitivity, β-cell function, and β-cell mass during the development of diabetes in fa/fa rats
Topp, B. G., Atkinson, L. L., & Finegood, D. T. (2007) · American Journal of Physiology-Endocrinology and Metabolism · doi:10.1152/ajpendo.00572.2007 · Cited by 56 · see citing works
Benchmarking tools for a priori identifiability analysis
Barreiro, X. R., & Villaverde, A. F. (2023) · Bioinformatics · doi:10.1093/bioinformatics/btad065 · Cited by 54 · see citing works
Modeling the physiological glucose–insulin system on normal and diabetic subjects
Chen, C., & Tsai, H.-W. (2009) · Computer Methods and Programs in Biomedicine · doi:10.1016/j.cmpb.2009.06.005 · Cited by 53 · see citing works
Nonlinear Dynamics and Chaos Theory: Concepts and Applications Relevant to Pharmacodynamics
Dokoumetzidis, A., Iliadis, A., & Macheras, P. E. (2001) · Pharmaceutical Research · doi:10.1023/a:1011083723190 · Cited by 51 · see citing works
Raison d’être of insulin resistance: the adjustable threshold hypothesis
Wang, G. (2014) · Journal of The Royal Society Interface · doi:10.1098/rsif.2014.0892 · Cited by 47 · see citing works
Beta-cell specific Insr deletion promotes insulin hypersecretion and improves glucose tolerance prior to global insulin resistance
Skovsø, S., Panzhinskiy, E., Kolic, J., Cen, H. H., Dionne, D. A., Dai, X.-Q., Sharma, R. B., Elghazi, L., Ellis, C. E., Faulkner, K., et al. (2022) · Nature Communications · doi:10.1038/s41467-022-28039-8 · Cited by 47 · see citing works
Enhanced modelling of the glucose–insulin system and its applications in insulin therapies
Wang, H., Li, J., & Kuang, Y. (2008) · Journal of Biological Dynamics · doi:10.1080/17513750802101927 · Cited by 46 · see citing works
Intramuscular Injection of Islet Neogenesis-Associated Protein Peptide Stimulates Pancreatic Islet Neogenesis in Healthy Dogs
Pittenger, G. L., Taylor, D., Johns, R. H., Burcus, N. I., Kosuri, S., & Vinik, A. I. (2006) · Pancreas · doi:10.1097/01.mpa.0000240609.56806.43 · Cited by 45 · see citing works
Mathematical models of subcutaneous injection of insulin analogues: A mini-review
Li, J., & Johnson, J. D. (2009) · Discrete and Continuous Dynamical Systems - B · doi:10.3934/dcdsb.2009.12.401 · Cited by 45 · see citing works
Free-living inferential modeling of blood glucose level using only noninvasive inputs
Rollins, D. K., Bhandari, N., Kleinedler, J., Kotz, K., Strohbehn, A., Boland, L., Murphy, M., André, D., Vyas, N., Welk, G. J., et al. (2009) · Journal of Process Control · doi:10.1016/j.jprocont.2009.09.008 · Cited by 43 · see citing works
Reversal and Remission of T2DM – An Update for Practitioners
Shibib, L., Al-Qaisi, M., Ahmed, A. R., Miras, A. D., Nott, D., Pelling, M., Greenwald, S. E., & Guess, N. D. (2022) · Vascular Health and Risk Management · doi:10.2147/vhrm.s345810 · Cited by 39 · see citing works
Glucose-insulin regulatory system: Chaos control and stability analysis via Atangana–Baleanu fractal-fractional derivatives
Alhazmi, M., & Saber, S. (2025) · Alexandria Engineering Journal · doi:10.1016/j.aej.2025.02.066 · Cited by 39 · see citing works
A kinetic core model of the glucose-stimulated insulin secretion network of pancreatic β cells
Jiang, N., Cox, R., & Hancock, J. M. (2007) · Mammalian Genome · doi:10.1007/s00335-007-9011-y · Cited by 39 · see citing works
A Model for Glucose, Insulin, and Beta‐Cell Dynamics in Subjects With Insulin Resistance and Patients With Type 2 Diabetes
Ribbing, J., Hamrén, B., Svensson, M. K. E., & Karlsson, M. O. (2010) · The Journal of Clinical Pharmacology · doi:10.1177/0091270009349711 · Cited by 39 · see citing works
Modeling Approaches to Type 2 Diabetes
Kansal, A. R. (2004) · Diabetes Technology & Therapeutics · doi:10.1089/152091504322783396 · Cited by 39 · see citing works
Chronic Glucose Exposure Systematically Shifts the Oscillatory Threshold of Mouse Islets: Experimental Evidence for an Early Intrinsic Mechanism of Compensation for Hyperglycemia
Glynn, E. J., Thompson, B. M., Vadrevu, S., Lu, S., Kennedy, R. T., Ha, J., Sherman, A., & Satin, L. S. (2015) · Endocrinology · doi:10.1210/en.2015-1563 · Cited by 37 · see citing works
Personalizing physical exercise in a computational model of fuel homeostasis
Palumbo, M. C., Morettini, M., Tieri, P., Diele, F., Sacchetti, M., & Castiglione, F. (2018) · PLOS Computational Biology · doi:10.1371/journal.pcbi.1006073 · Cited by 36 · see citing works
Prunus amygdalus extract exert antidiabetic effect via inhibition of DPP-IV: in-silico and in-vivo approaches
Kumar, V., Sachan, R., Rahman, M., Sharma, K., Al-Abbasi, F. A., & Anwar, F. (2020) · Journal of Biomolecular Structure and Dynamics · doi:10.1080/07391102.2020.1775124 · Cited by 36 · see citing works
Modeling the physiological glucose–insulin dynamic system on diabetics
Chen, C., Tsai, H.-W., & Wong, S.-S. (2010) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2010.05.002 · Cited by 35 · see citing works
Human systems immunology: Hypothesis-based modeling and unbiased data-driven approaches
Arazi, A., Pendergraft, W. F., Ribeiro, R. M., Perelson, A. S., & Hacohen, N. (2013) · Seminars in Immunology · doi:10.1016/j.smim.2012.11.003 · Cited by 35 · see citing works
Using mathematical models to understand metabolism, genes, and disease
Nijhout, H. F., Best, J. A., & Reed, M. C. (2015) · BMC Biology · doi:10.1186/s12915-015-0189-2 · Cited by 35 · see citing works
Nutrition Research and the Impact of Computational Systems Biology
Auley, M. T. M. (2013) · Journal of Computer Science & Systems Biology · doi:10.4172/jcsb.1000122 · Cited by 35 · see citing works
Systemically modeling the dynamics of plasma insulin in subcutaneous injection of insulin analogues for type 1 diabetes
Li, J., & Kuang, Y. (2008) · Mathematical Biosciences & Engineering · doi:10.3934/mbe.2009.6.41 · Cited by 35 · see citing works
Mathematical Modelling and Simulation of β-Cell Mass, Insulin and Glucose Dynamics: Effect of Genetic Predisposition to Diabetes
Boutayeb, W., Lamlili, M. E. N., Boutayeb, A., & Derouich, M. (2014) · Journal of Biomedical Science and Engineering · doi:10.4236/jbise.2014.76035 · Cited by 34 · see citing works
Hopf bifurcation and chaos in time-delay model of glucose-insulin regulatory system
Al-Hussein, A.-B. A., Rahma, F., & Jafari, S. (2020) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2020.109845 · Cited by 34 · see citing works
Discovering hospital admission patterns using models learnt from electronic hospital records
Arandjelović, O. (2015) · Bioinformatics · doi:10.1093/bioinformatics/btv508 · Cited by 33 · see citing works
ODE models for the management of diabetes: A review
Rathee, S., & Nilam (2016) · International Journal of Diabetes in Developing Countries · doi:10.1007/s13410-016-0475-8 · Cited by 33 · see citing works
Perfect Adaptation and Optimal Equilibrium Productivity in a Simple Microbial Biofuel Metabolic Pathway Using Dynamic Integral Control
Briat, C., & Khammash, M. (2018) · ACS Synthetic Biology · doi:10.1021/acssynbio.7b00188 · Cited by 32 · see citing works
Dynamical analysis of a nonlinear model for glucose–insulin system incorporating delays and -cells compartment
Chuedoung, M., Sarika, W., & Lenbury, Y. (2009) · Nonlinear Analysis · doi:10.1016/j.na.2009.01.129 · Cited by 31 · see citing works
A new general glucose homeostatic model using a proportional-integral-derivative controller
Watson, E. M., Chappell, M. J., Ducrozet, F., Poucher, S. M., & Yates, J. W. T. (2010) · Computer Methods and Programs in Biomedicine · doi:10.1016/j.cmpb.2010.08.013 · Cited by 31 · see citing works
Development, growth and maintenance of β-cell mass: Models are also part of the story
Khadra, A., & Schnell, S. D. (2015) · Molecular Aspects of Medicine · doi:10.1016/j.mam.2015.01.005 · Cited by 29 · see citing works
Dynamics of thyroid diseases and thyroid‐axis gland masses
Kohanim, Y. K., Milo, T., Raz, M., Karin, O., Bar, A., Mayo, A., Cohen, N. M., Toledano, Y., & Alon, U. S. (2022) · Molecular Systems Biology · doi:10.15252/msb.202210919 · Cited by 29 · see citing works
Delay model of glucose–insulin systems: Global stability and oscillated solutions conditional on delays
Giang, D. V., Lenbury, Y., Gaetano, A. D., & Palumbo, P. J. (2008) · Journal of Mathematical Analysis and Applications · doi:10.1016/j.jmaa.2008.02.016 · Cited by 30 · see citing works
Biphasic response as a mechanism against mutant takeover in tissue homeostasis circuits
Karin, O., & Alon, U. S. (2017) · Molecular Systems Biology · doi:10.15252/msb.20177599 · Cited by 32 · see citing works
An automatic insulin infusion system based on LQG control technique
Patra, A. K., & Rout, P. K. (2015) · International Journal of Biomedical Engineering and Technology · doi:10.1504/ijbet.2015.068109 · Cited by 29 · see citing works
Evaluation of a mathematical model of diabetes progression against observations in the Diabetes Prevention Program
Hardy, T. A., Abu-Raddad, E., Pørksen, N. K., & Gaetano, A. D. (2012) · American Journal of Physiology-Endocrinology and Metabolism · doi:10.1152/ajpendo.00421.2011 · Cited by 28 · see citing works
β‐cell deterioration – prospects for reversal or prevention
Finegood, D. T., & Topp, B. G. (2001) · Diabetes Obesity and Metabolism · doi:10.1046/j.1463-1326.2001.00030.x · Cited by 28 · see citing works
A Minimal Model Approach for Analyzing Continuous Glucose Monitoring in Type 2 Diabetes
Goel, P., Parkhi, D., Barua, A. K., Shah, M., & Ghaskadbi, S. (2018) · Frontiers in Physiology · doi:10.3389/fphys.2018.00673 · Cited by 27 · see citing works
A novel fast-slow model of diabetes progression: Insights into mechanisms of response to the interventions in the Diabetes Prevention Program
Gaetano, A. D., & Hardy, T. A. (2019) · PLoS ONE · doi:10.1371/journal.pone.0222833 · Cited by 29 · see citing works
Nonlinear dynamics in Clinical Pharmacology: the paradigm of cortisol secretion and suppression
Dokoumetzidis, A., Iliadis, A., & Macheras, P. E. (2002) · British Journal of Clinical Pharmacology · doi:10.1046/j.1365-2125.2002.01600.x · Cited by 27 · see citing works
Modeling Diabetes Disease Progression and Salsalate Intervention in Goto-Kakizaki Rats
Cao, Y., DuBois, D. C., Sun, H., Almon, R. R., & Jusko, W. J. (2011) · Journal of Pharmacology and Experimental Therapeutics · doi:10.1124/jpet.111.185686 · Cited by 26 · see citing works
Active insulin infusion using fuzzy-based closed-loop control
Yasini, S., Sistani, M. B. N., & Karimpour, A. (2008) · International Conference on Intelligent Systems and Knowledge Engineering (ISKE) · doi:10.1109/iske.2008.4730968 · Cited by 26 · see citing works
Glucose Transporters Are Key Components of the Human Glucostat
Caspi, I., Tremmel, D. M., Pulecio, J., Yang, D.-P., Liu, D., Yan, J., Odorico, J., & Huangfu, D. (2024) · Diabetes · doi:10.2337/db23-0508 · Cited by 21 · see citing works
Autoimmune responses in T1DM: quantitative methods to understand onset, progression, and prevention of disease
Jaberi‐Douraki, M., Liu, S. W. S., Pietropaolo, M., & Khadra, A. (2014) · Pediatric Diabetes · doi:10.1111/pedi.12148 · Cited by 25 · see citing works
Dynamics of glucose and insulin concentration connected to the β‐cell cycle: model development and analysis
Gallenberger, M., zu Castell, W., Hense, B. A., & Kuttler, C. (2012) · Theoretical Biology and Medical Modelling · doi:10.1186/1742-4682-9-46 · Cited by 28 · see citing works
Mechanism-based disease progression modeling of type 2 diabetes in Goto-Kakizaki rats
Gao, W., Bihorel, S., DuBois, D. C., Almon, R. R., & Jusko, W. J. (2010) · Journal of Pharmacokinetics and Pharmacodynamics · doi:10.1007/s10928-010-9182-0 · Cited by 24 · see citing works
Epigenetic inheritance of gene silencing is maintained by a self-tuning mechanism based on resource competition
Karin, O., Miska, E. A., & Simons, B. D. (2023) · Cell Systems · doi:10.1016/j.cels.2022.12.003 · Cited by 20 · see citing works
Mathematical model for diabetes in fuzzy environment with stability analysis
Mahata, A., Mondal, S. P., Alam, S., Chakraborty, A., De, S. K., & Goswami, A. (2019) · Journal of Intelligent & Fuzzy Systems · doi:10.3233/jifs-171571 · Cited by 23 · see citing works
Mathematical Modeling of Glucose Homeostasis and Its Relationship With Energy Balance and Body Fat
Smith, J. M. D., Maas, J. A., Garnsworthy, P. C., Owen, M. R., Coombes, S., Pillay, T. S., Barrett, D. A., & Symonds, M. E. (2009) · Obesity · doi:10.1038/oby.2008.604 · Cited by 23 · see citing works
Knowledge-based Closed-loop Control of Blood Glucose Concentration in Diabetic Patients and Comparison with H∞Control Technique
Yasini, S., Karimpour, A., & Sistani, M. B. N. (2012) · IETE Journal of Research · doi:10.4103/0377-2063.102314 · Cited by 22 · see citing works
Understanding the Metabolic Syndrome: A Modeling Perspective
Khoo, M. C. K., Oliveira, F. M. G. S. A., & Cheng, L. (2012) · IEEE Reviews in Biomedical Engineering · doi:10.1109/rbme.2012.2232651 · Cited by 23 · see citing works
Closed-loop control of blood glucose level in type-1 diabetics: A simulation study
Soylu, S., Danışman, K., Saçu, İ. E., & Alçı, M. (2013) · National Conference on Electrical and Electronics Engineering (ELECO) · doi:10.1109/eleco.2013.6713864 · Cited by 21 · see citing works
Examining Type 1 Diabetes Mathematical Models Using Experimental Data
Ali, H. A., Daneshkhah, A., Boutayeb, A., & Mukandavire, Z. (2022) · International Journal of Environmental Research and Public Health · doi:10.3390/ijerph19020737 · Cited by 23 · see citing works
A mathematical model of leptin resistance
Jacquier, M., Soula, H. A., & Fabien Crauste, A. (2015) · Mathematical Biosciences · doi:10.1016/j.mbs.2015.06.008 · Cited by 21 · see citing works
Modeling dynamic changes in type 1 diabetes progression: Quantifying $\beta$-cell variation after the appearance of islet-specific autoimmune responses
Nelson, P. W., Smith, N. R., Ciupe, S. M., Zou, W., Omenn, G. S., & Pietropaolo, M. (2009) · Mathematical Biosciences & Engineering · doi:10.3934/mbe.2009.6.753 · Cited by 21 · see citing works
Requirements for multi-level systems pharmacology models to reach end-usage: the case of type 2 diabetes
Nyman, E., Wesseling-Rozendaal, Y. J. W., Helmlinger, G., Hamrén, B., Kjellsson, M. C., Strålfors, P., van Riel, N. A. W., Gennemark, P., & Cedersund, G. (2016) · Interface Focus · doi:10.1098/rsfs.2015.0075 · Cited by 21 · see citing works
Mathematical modelling of glucose dynamics
Huard, B., & Kirkham, G. (2022) · Current Opinion in Endocrine and Metabolic Research · doi:10.1016/j.coemr.2022.100379 · Cited by 20 · see citing works
Effects of IL‐1β–Blocking Therapies in Type 2 Diabetes Mellitus: A Quantitative Systems Pharmacology Modeling Approach to Explore Underlying Mechanisms
Palmér, R., Nyman, E., Penney, M., Marley, A., Cedersund, G., & Agoram, B. M. (2014) · CPT Pharmacometrics & Systems Pharmacology · doi:10.1038/psp.2014.16 · Cited by 19 · see citing works
A simple modeling framework for prediction in the human glucose–insulin system
Sirlanci, M., Levine, M. E., Wang, C. C. L., Albers, D. J., & Stuart, A. M. (2023) · Chaos An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/5.0146808 · Cited by 19 · see citing works
Insulin resistance or hypersecretion? The βIG picture revisited
Goel, P. (2015) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2015.07.033 · Cited by 18 · see citing works
Investigation of stability in a two-delay model of the ultradian oscillations in glucose–insulin regulation
Huard, B., Easton, J. F., & Angelova, M. N. (2015) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2015.02.017 · Cited by 19 · see citing works
In vivo and in silico dynamics of the development of Metabolic Syndrome
Wesseling-Rozendaal, Y. J. W., Wang, Y., Paalvast, Y., Tambyrajah, L. L., Li, Z., van Dijk, K. W., Rensen, P. C. N., Kuivenhoven, J. A., Groen, A. K., Hilbers, P. A. J., et al. (2018) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1006145 · Cited by 19 · see citing works
A closed-loop multi-level model of glucose homeostasis
Uluşeker, C., Simoni, G., Marchetti, L., Dauriz, M., Matone, A., & Priami, C. (2018) · PLoS ONE · doi:10.1371/journal.pone.0190627 · Cited by 19 · see citing works
Mathematical model of diabetes and lipid metabolism linked to diet, leptin sensitivity, insulin sensitivity and VLDLTG clearance predicts paths to health and type II diabetes
Sweatman, C. Z. W. H. (2019) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2019.110037 · Cited by 19 · see citing works
A mathematical model of food intake
Chudtong, M., Gaetano, A. D., Consiglio Nazionale delle Ricerche, I. P. L. R. E. L. B. (.-I., & Consiglio Nazionale delle Ricerche, I. D. A. D. S. E. I. ". R. (.-I. (2021) · Mathematical Biosciences & Engineering · doi:10.3934/mbe.2021067 · Cited by 17 · see citing works
Estimating insulin sensitivity and β-cell function from the oral glucose tolerance test: validation of a new insulin sensitivity and secretion (ISS) model
Ha, J., Chung, S. T., Springer, M., Kim, J. Y., Chen, P., Chhabra, A., Cree‐Green, M., Behn, C. D., Sumner, A. E., Arslanian, S. A., et al. (2023) · American Journal of Physiology-Endocrinology and Metabolism · doi:10.1152/ajpendo.00189.2023 · Cited by 18 · see citing works

Dynamics of glucose and insulin concentration connected to the β‐cell cycle: model development and analysis
Gallenberger, M., zu Castell, W., Hense, B. A., & Kuttler, C. (2012) · Theoretical Biology and Medical Modelling · doi:10.1186/1742-4682-9-46 · Cited by 28 · see citing works
A mathematical model for glucose and insulin dynamics with direct connection to the β-cell cycle.
Gallenberger, M., Hense, B. A., & Kuttler, C. (2011) · Site cant be reached
A Mathematical Model of the Dynamics of Glucose, Insulin, β-cells Mass, and Insulin Receptors in Diabetes Mellitus Disease Type 2
Listiandini, E. (2011)
Bifurcation and Stability Analysis of Glucose-Insulin Regulatory System in the Presence of β-Cells
Kumari, P., Singh, S., & Singh, H. P. (2021) · Iranian Journal of Science and Technology Transactions A Science · doi:10.1007/s40995-021-01152-x · Cited by 2 · see citing works
Mathematical studies of the glucose-insulin regulatory system models.
Wang, M. (2015) · doi:10.18297/etd/2242 · Cited by 1 · see citing works

Authors: TOPP, B., PROMISLOW, K., DEVRIES, G., MIURA, R. M., & FINEGOOD, D. T.
Affiliations: Simon Fraser University (CA)
University of Alberta (CA)
University of British Columbia (CA)
ORCID: PROMISLOW, KEITH
FINEGOOD, DIANE T
Venue: Journal of Theoretical Biology
Publisher: Elsevier BV
Published: 2000-10
Volume: 206
Issue: 4
Pages: 605-619
ISSN: 0022-5193 (ISSN-L)
DOI: 10.1006/jtbi.2000.2150
OpenAlex: W2002062638
Cited by: 330
References: 60
Citations by year: 2026: 25 · 2025: 30 · 2024: 23 · 2023: 17 · 2022: 22 · 2021: 20 · 2020: 21 · 2019: 13 · 2018: 11 · 2017: 5 · 2016: 16 · 2015: 19 · 2014: 13 · 2013: 12 · 2012: 9
FWCI: 3.60
Type: journal article
Language: en
Open access: closed
Licence: www.elsevier.com/tdm/userlicense/1.0/ (tdm)
Locations: Journal of Theoretical Biology (publishedVersion)
PubMed (publishedVersion)
Topics: Health Sciences › Medicine › Surgery › Pancreatic function and diabetes
Health Sciences › Medicine › Endocrinology, Diabetes and Metabolism › Diabetes Management and Research
Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Diabetes and associated disorders
Keywords: beta-cell mass, insulin dynamics, glucose kinetics, diabetes mellitus, glucose regulation, hyperglycemia, slow manifold, saddle points, bifurcation, negative feedback, positive feedback, nonlinear ordinary differential equations
MeSH terms: Blood Glucose, Diabetes Mellitus, Humans, Insulin, Islets of Langerhans, Models, Biological, Nonlinear Dynamics, Cell Size

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

A model of β-cell mass, insulin, and glucose kinetics: pathways to diabetes

Abstract

Integrity signals

Claims the paper makes

Cites

Cited by

Related

Record

About these checks