کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7155454 | 1462619 | 2015 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Investigation of stability in a two-delay model of the ultradian oscillations in glucose-insulin regulation
ترجمه فارسی عنوان
بررسی استحکام در یک مدل دو زمانه از نوسانات فراگیر در تنظیم قند خون-انسولین
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کلمات کلیدی
قند خون تنظیم مقررات انسولین، معادلات تاخیر دیفرانسیل، تجزیه و تحلیل ثبات، تابع هیل،
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
چکیده انگلیسی
In this paper, a two-delay model for the ultradian oscillatory behaviour of the glucose-insulin regulation system is studied. Hill functions are introduced to model nonlinear physiological interactions within this system and ranges on parameters reproducing biological oscillations are determined on the basis of analytical and numerical considerations. Local and global stability are investigated and delay-dependent conditions are obtained through the construction of Lyapunov-Krasovskii functionals. The effect of Hill parameters on these conditions, as well as the boundary of the stability region in the delay domain, are established for the first time. Numerical simulations demonstrate that the model with Hill functions represents well the oscillatory behaviour of the system with the advantage of incorporating new meaningful parameters. The influence of the time delays on the period of oscillations and the sensitivity of the latter to model parameters, in particular glucose infusion, are investigated. The model can contribute to the better understanding and treatment of diabetes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 26, Issues 1â3, September 2015, Pages 211-222
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 26, Issues 1â3, September 2015, Pages 211-222
نویسندگان
B. Huard, J.F. Easton, M. Angelova,