Mathematical models and software tools for the glucose-insulin regulatory system and diabetes: an overview A Makroglou, J Li, Y Kuang Applied numerical mathematics 56 (3-4), 559-573, 2006 | 500 | 2006 |
Modeling the glucose–insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays J Li, Y Kuang, CC Mason Journal of theoretical biology 242 (3), 722-735, 2006 | 270 | 2006 |
Analysis of IVGTT glucose-insulin interaction models with time delay J Li, Y Kuang, B Li Discrete & Continuous Dynamical Systems-B 1 (1), 103, 2001 | 121 | 2001 |
Modeling Impulsive Injections of Insulin: Towards Artificial Pancreas M Huang, J Li, X Song, H Guo SIAM Journal on Applied Mathematics 72 (5), 1524-1548, 2012 | 116 | 2012 |
Analysis of a model of the glucose-insulin regulatory system with two delays J Li, Y Kuang SIAM Journal on Applied Mathematics 67 (3), 757-776, 2007 | 95 | 2007 |
Mathematical modeling and qualitative analysis of insulin therapies H Wang, J Li Mathematical biosciences 210 (1), 17-33, 2007 | 83 | 2007 |
Enhanced modelling of the glucose–insulin system and its applications in insulin therapies H Wang, J Li, Y Kuang Journal of biological dynamics 3 (1), 22-38, 2009 | 58 | 2009 |
Mathematical models of subcutaneous injection of insulin analogues: a mini-review J Li, JD Johnson Discrete and continuous dynamical systems. Series B 12 (2), 401, 2009 | 53 | 2009 |
The range of time delay and the global stability of the equilibrium for an IVGTT model J Li, M Wang, A De Gaetano, P Palumbo, S Panunzi Mathematical biosciences 235 (2), 128-137, 2012 | 42 | 2012 |
Systemically modeling the dynamics of plasma insulin in subcutaneous injection of insulin analogues for type 1 diabetes J Li, Y Kuang Mathematical biosciences and engineering: MBE 6 (1), 41, 2009 | 41 | 2009 |
Modeling impulsive insulin delivery in insulin pump with time delays X Song, M Huang, J Li SIAM Journal on Applied Mathematics 74 (6), 1763-1785, 2014 | 30 | 2014 |
Is Dynamic Autocrine Insulin Signaling Possible? A Mathematical Model Predicts Picomolar Concentrations of Extracellular Monomeric Insulin within Human Pancreatic Islets M Wang, J Li, GE Lim, JD Johnson PloS one 8 (6), e64860, 2013 | 30 | 2013 |
Threshold dynamics of an age–space structured brucellosis disease model with Neumann boundary condition J Yang, R Xu, J Li Nonlinear Analysis: Real World Applications 50, 192-217, 2019 | 21 | 2019 |
Oscillatory dynamics of an intravenous glucose tolerance test model with delay interval X Shi, Y Kuang, A Makroglou, S Mokshagundam, J Li Chaos: An Interdisciplinary Journal of Nonlinear Science 27 (11), 114324, 2017 | 20 | 2017 |
Delay differential equation models in diabetes modeling A Makroglou, I Karaoustas, J Li, Y Kuang Theoretical Biology and Medical Modelling, 2009 | 11 | 2009 |
The Dynamics of Glucose-Insulin Endocrine Metabolic Regulatory System J Li Arizona State University, 2004 | 8 | 2004 |
Model Discrimination in Dynamic Molecular Systems: Application to Parotid De-differentiation Network J Kim, J Li, SG Venkatesh, DS Darling, GA Rempala Journal of Computational Biology 20 (7), 524-539, 2013 | 5 | 2013 |
A review on delay differential equation models in diabetes modeling, II: the insulin therapies and the intracellular activities of β-cells case A Makroglou, I Karaoustas, J Li, Y Kuang | 3* | |
Modeling the glucose-insulin regulatory system and ultradian insulin secretary oscillations with two time delays J Li, Y Kuang, C Mason submitted for publication, 0 | | |