کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1707090 1012498 2008 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Comparison of the bifurcation curves of a two-variable and a three-variable circadian rhythm model
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Comparison of the bifurcation curves of a two-variable and a three-variable circadian rhythm model
چکیده انگلیسی

Two dynamical systems describing the circadian fluctuation of two proteins (PER and TIM) in cells are compared. A simplified model with two variables has already been investigated. Detailed study of the possible bifurcation has been carried out. Periodic solutions of the differential equations with 24-h period have been obtained numerically. Here the general, more realistic model having three variables is investigated. The possible phase portraits and local bifurcations are studied in detail. The saddle-node and Hopf-bifurcation curves are determined in the plane of two parameters by using the parametric representation method. Using these curves the number and the type of the stationary points can be determined. The relation of the two bifurcation curves and the Takens–Bogdanov bifurcation points are also studied. The bifurcation curves are compared to those obtained for the simplified two-variable system.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 32, Issue 8, August 2008, Pages 1587–1598
نویسندگان
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