Modeling the glucose–insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays

Cited by (240)

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2. Quantitative analysis of time delays of glucose - insulin dynamics using artificial pancreas
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4. Predictive Control of the Blood Glucose Level in Type I Diabetic Patient Using Delay Differential Equation Wang Model
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5. Qualitative analysis of subcutaneous Lispro and regular insulin injections for stress hyperglycemia: A pilot numerical study
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6. A New Time-Delay Model for Chaotic Glucose-Insulin Regulatory System
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7. A methodical survey of mathematical model-based control techniques based on open and closed loop control approach for diabetes management
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8. Delay-induced uncertainty in the glucose-insulin system: Pathogenicity for obesity and type-2 diabetes mellitus
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9. DDE Models of the Glucose-Insulin System: A Useful Tool for the Artificial Pancreas
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10. H ∞ controller and observer synthesis with delay and nonlinear perturbation of double diabetes systems
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11. A Multi-Agent Approach Used to Predict Long-Term Glucose Oscillation in Individuals with Type 1 Diabetes
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12. Formalizing the Glucose Homeostasis Mechanism
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13. The progression of secondary diabetes: A review of modeling studies
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14. A closed-loop microneedle-integrated physiological model for predictive glycemic management
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15. Machine learning for the diagnosis of early-stage diabetes using temporal glucose profiles
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16. Synchronization, Multiresonance Phenomena, and Discrete Oscillation Periods in a Hopfield Neural Network with Two Time Delays
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17. A new approach to stabilize diabetes systems with time-varying delays and disturbance rejection
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18. The design of an intelligent insulin pump
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19. A theoretic control approach in signal-controlled metabolic pathways
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20. A novel IVGTT model including interstitial insulin
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21. Modeling an artificial pancreas using retarded impulsive differential equation
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22. Modified control algorithms for patients with type 1 diabetes mellitus undergoing exercise
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23. Global stability and periodicity in a glucose-insulin regulation model with a single delay
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24. PID and LQG controllers for diabetes system with internal delay: a comparison study
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25. Human-in-the-Loop Stability Analysis of Haptic Rendering With Time Delay – The Effect of Delayed Feedback Control in the Operator Model
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26. Back-stepping sliding mode control Design for glucose regulation in type 1 diabetic patients
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27. Laguerre Matrix-Collocation Method to Solve Systems of Pantograph Type Delay Differential Equations
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28. Effects of technological delay on insulin and blood glucose in a physiological model
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29. Glucose–insulin regulation model with subcutaneous insulin injection and evaluation using diabetic inpatients data
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30. Comparison of Subcutaneous Regular Insulin and Lispro Insulin in Diabetics Receiving Continuous Nutrition
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31. A stochastic delay differential model for glucose-insulin interactions
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32. Nonparametric Identification of Glucose-Insulin Process in IDDM Patient with Multi-meal Disturbance
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33. Modelling Glucose-Insulin Feedback Signal Interchanges Involving β-Cells with Delays
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34. Modelling system of two insulin-glucose delays to achieve the dynamics of glucose changes
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35. Dynamical modeling the effect of glucagon-like peptide on glucose–insulin regulatory system based on mice experimental observation
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36. Dynamics of a New Delayed Glucose–Insulin Model with Obesity
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37. The application of a model of glucose and insulin dynamics to explain an observed effect of leptin administration in reversal of developmental programming
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38. Control of Blood Glucose
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39. An Automatic Insulin Infusion System based on H-Infinity Control Technique
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40. An inverse feedback fuzzy state space modeling (FFSSM) for insulin-glucose regulatory system in humans
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41. A New Model For Endocrine Glucose-Insulin Regulatory System
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42. Finite-time control of plasma glucose in insulin therapies for diabetes
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43. Chattering ‐ free hybrid adaptive neuro‐fuzzy inference system‐particle swarm optimisation data fusion‐based BG‐level control
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44. Dissecting Long-Term Glucose Metabolism Identifies New Susceptibility Period for Metabolic Dysfunction in Aged Mice
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46. Artificial Blood Glucose Control using a DDE Modelling Approach
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47. Ultradian rhythms in glucose regulation: A mathematical assessment
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48. A New Hybrid Approach on Blood Glucose Level Control Based on Palumbo Delayed Model
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49. Online Frequency Domain Volterra Model of Glucose- Insulin Process in Type-1 Diabetics
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50. Data-Driven Modeling of Diabetes Progression
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51. Derivation and computation of discrete-delayand continuous-delay SDEs in mathematical biology
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52. Synergetic and higher order sliding mode control of blood glucose regulation in diabetes patients
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53. Nonlinear time varying perturbation stability analysis of a double diabetes system
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54. Bifurcation analysis in a delay model of IVGTT glucose–insulin interaction
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55. Amplitude and Frequency Variation in Nonlinear Glucose Dynamics with Multiple Delays via Periodic Perturbation
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56. An effective numerical algorithm for a system of fractional pantograph delay differential equations based on the Haar wavelet collocation method
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57. Sensitivity analysis for a delay mathematical model: the glucose-insulin model
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58. A mechanism for slow rhythms in coordinated pancreatic islet activity
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59. Integration of Sense and Control for Uncertain Systems Based on Delayed Feedback Active Inference
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60. Mathematical Modelling for Glucose Homeostasis and Associated Mechanisms: A State-of-the-Art Review
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61. Is nonlinear model predictive control with fuzzy predictive model proper for managing the blood glucose level in typeI diabetes?
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62. Model Based Simulation for Type I Diabetic Patients
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63. Incorporating bolus and infusion pharmacokinetics into the ICING insulin model
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64. Chattering-free blood glucose level control based on ANFIS
    Roya Ramezanzadeh, Seyed Mahdi Hadad Baygi, Javad Farzaneh, Ali Karsaz · 2017 · IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)
65. A Hybrid Model to Predict Glucose Oscillation for Patients with Type 1 Diabetes and Suggest Customized Recommendations
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66. Nonlinear Physiological Model of Insulin-Glucose Regulation System in Type 1 Diabetes Mellitus
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67. Optimal selection of injection doses and injection timings for insulin therapy in a limited time
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68. Structural identifiability analysis of nonlinear time delayed systems with generalized frequency response functions
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69. Low power fuzzy control system for adjusting the blood glucose level
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70. Virtual Environment Model of Glucose Homeostasis for Diabetes Patients
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71. Automated optimal glycaemic control using a physiology based pharmacokinetic, pharmacodynamic model
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72. Modeling Impulsive Intake of Glucose: The Significance of Diet to Glucose-Insulin System
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73. Effects of noise on bursting phenomenon and bifurcation in glucose-insulin regulation system
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74. Fatty acids and physical activity are critical for β -cell mass and insulin sensitivity: Pathways to T2D and prevention
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75. Study on Dynamical Behavior of a Type of Diabetes Mellitus Model With Nonlinear Impulsive Injection of Insulin
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78. Hopf Bifurcation of a Two Delay Mathematical Model of Glucose and Insulin during Physical Activity
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79. COEXISTENCE OF THREE OSCILLATORY MODES OF INSULIN SECRETION: MATHEMATICAL MODELING AND RELEVANCE TO GLUCOSE REGULATION
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80. Insulin dosage control of time-delayed type-1 diabetes
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81. Model Matematika Interaksi Glukosa-Insulin Dalam Tubuh Penderita Diabetes Tipe 1
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83. Dynamic analysis of a Filippov blood glucose insulin model
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84. Dynamics analysis in a delayed glucose-insulin model incorporating obesity
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85. How to maintain long-term euglycemia in a noisy environment: Insight from a stochastic glucose–insulin metabolism model with correlated Gaussian colored noise
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86. A fuzzy-PID glucose control strategy for insulin therapy in type 1 diabetics
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87. Stability analysis and numerical solution for the fractional order biochemical reaction model
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88. A qualitative numerical study of glucose dynamics in patients with stress hyperglycemia and diabetes receiving intermittent and continuous enteral feeds
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89. Mathematical Model Applied to Monitoring the Glucose-Insulin Interaction inside the Body of Diabetes Patients
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90. Oscillations and Periodic Solutions in a Two-Dimensional Differential Delay Model
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95. Applications of path analysis and functional data analysis in a longitudinal, clinical cohort study of pregnant women and their neonates.
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97. Modeling as a Tool to Support Self-Management of Type 1 Diabetes
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98. Mathematical models of health focusing on diabetes: Delay differential equations and data mining
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