کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6369742 1623832 2015 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Discrete and ultradiscrete models for biological rhythms comprising a simple negative feedback loop
ترجمه فارسی عنوان
مدل های گسسته و فوق العاده ای برای ریتم های بیولوژیکی شامل حلقه بازخورد ساده منفی است
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
چکیده انگلیسی
Many biological rhythms are generated by negative feedback regulation. Griffith (1968) proved that a negative feedback model with two variables expressed by ordinary differential equations do not generate self-sustained oscillations. Kurosawa et al. (2002) expanded Griffith׳s result to the general type of negative feedback model with two variables. In this paper, we propose discrete and ultradiscrete feedback models with two variables that exhibit self-sustained oscillations. To obtain the model, we applied tropical discretization and ultradiscretization to a continuous model with two variables and then investigated its bifurcation structures and the conditions of parameters for oscillations. We found that when the degradation rate of the variables is lower than their synthesis rate, the proposed models generate oscillations by Neimark-Sacker bifurcation. We further demonstrate that the ultradiscrete model can be reduced to a Boolean system under some conditions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Theoretical Biology - Volume 378, 7 August 2015, Pages 89-95
نویسندگان
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