Stability Analysis of Detecting Diabetics on Blood Glucose Regulatory Systems
Keywords:
Mathematical Modeling, Diabetes, Glucose Tolerance Test, StabilityAbstract
In this paper, we investigate the stability of blood glucose regulatory system. This fact is used to diagnose diabetes in the context of glucose tolerance test. The second order differential equation, which result in the formulation to describe the glucose tolerance test during the performance of blood glucose regulatory system (BGRS) and its stability analyzed here. The model has been used to analyze two cases of the glucose level to find whether the glucose level is stable and where the glucose level is unstable.
References
- Man, C Dalla, rizza, RA, Cobelli, C.Meal simulation model of the glucose insulin system . IEEE trans biomed Eng.2007;54(10): 1740-9.
- Wilinska, ME, Chassin, LJ, Acerini, CCL, Allen, JM, Dunger,DB, Hovorka, R.simulation environment to evaluate closed-loop insulin delivery system in type 1 diabetes
- Kanderian, SS, Weinzimer, S, Voskanyan, G, Steil, GM, Identification of intraday metabolic profiles during closed-loop glucose control in individuals with type 1 diabetes
- Steil, GM, Reifman, j. mathematical modeling research to support the development of automated insulin delivery system
- JonAlan Osborne. A mathematical model for the detection of diabetes
- Braun, martin. Differential equation and their applications: An introduction to applied mathematics.
- E.Ackerman, l.gatewood, j.rosevear and g.molnar blood glucose regulation and diabetes in the concepts and models of biomathematics.
- Ingrid kruse , DPM and steven Edelman evaluation and treatment of diabetic foot ulcers.
- Moller , JK, stochastic state space modeling of nonlinear systems-with application to marine ecosystems
- Kanderian, SS, weinzimer, SA, Steil,GM, the indentifiable virtual patient model: comparison of simulation and clinical closed-loop study results
- Kristensen , NR, Madsen, H, Ingwersen, SH, using stochastic differential equations for PK model development.
- Tornoe, CW, Overgaard, RV, Agerso,H, Nielsen, HA, Madsen ,H, Jonsson,EN, Stochastic differential equations in NONMEM: implementation, application and comparison with ordinary differential equations.
- Martin Brau, a model for the detection of diabetes
- Dr. Dimplekumar chalishajar, Caret Andrew C.Stanford, mathematical analysis of insulin-glucose feedback system of diabetes
- Tolic, Iva M, Eri Mosekilde and Jeppe sturis." Modeling the insulin-gulcose feedback system: the significance of pulsatile insulin secretion" Journal of theoretical biology 207(2000):361-75.print.
- Priyadharsini S, Stability of fractional neutral and integro differential systems, Journal of fractional calculus and applications, 7 (2016), 87-102.
- Priyadharsini S and Limosha T, A study on the dynamics of predator-prey model, NCRAMASE, 978-93-84234-97-3
Downloads
Published
Issue
Section
License
Copyright (c) IJSRST

This work is licensed under a Creative Commons Attribution 4.0 International License.