کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
783554 1465322 2015 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Autocatalator as the source of instability in the complex non-linear neuroendocrine model
ترجمه فارسی عنوان
اتوکولاتور به عنوان منبع بی ثباتی در مدل نورونی ضد لثه پیچیده غیر خطی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی


• Both autocatalator as well as the model of the Hypothalamic-Pituitary-Adrenal (HPA) axis was analysed by means of the stoichiometric network analysis (SNA).
• The types of bifurcations and conditions for their existence in both models were determined.
• Mathematical analogy between these two models was established.

The mathematical analogy between properties of simple and complex models of non-linear reactions was used to determine reaction steps in the complex model, necessary to generate instability region and appropriate type of bifurcations on the border between stable and unstable non-equilibrium stationary state. The autocatalator was recognized as the simple prototype two-variable non-linear model practical for examination of the complex four-variable non-linear neuroendocrine system known as the Hypothalamic-Pituitary-Adrenal (HPA) axis. In both cases, we derived the instability criteria by stoichiometric network analysis (SNA), determine conditions under which dynamic transitions, i.e. bifurcations occur, and identify the type of bifurcation. The supercritical Andronov–Hopf bifurcation was found in both cases whereas saddle-node bifurcation was detected only in the model for HPA axis.Thus, by stoichiometric network analysis, the mathematical analogy is found between two different models with same autocatalytic steps, that is, between two models with easily recognizable qualitative analogy.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Non-Linear Mechanics - Volume 73, July 2015, Pages 25–30
نویسندگان
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