典型文献
On Periodic Oscillation and Its Period of a Circadian Rhythm Model
文献摘要：
We theoretically study periodic oscillation and its period of a circadian rhythm model of Neurospora and provide the conditions for the existence of such a periodic oscillation by the theory of competitive dynamical systems.To present the exact expression of the unique equilibrium in terms of parameters of system,we divide them into eleven classes for the Hill coefficient n=1 or n=2,among seven classes of which nontrivial periodic oscillations exist.Numerical simulations are made among the seven classes and the models with the Hill coefficient n=3 or n=4 to reveal the influence of parameter variation on periodic oscillations and their periods.The results show that their periods of the periodic oscillations are approximately 21.5 h,which coincides with the known experiment result observed in constant darkness.
文献关键词：
中图分类号：
作者姓名：
Miao Feng;Chen Zhang
作者机构：
Department of Mathematics,Shanghai Normal University,Shanghai 200234,China
文献出处：
引用格式：
[1]Miao Feng;Chen Zhang-.On Periodic Oscillation and Its Period of a Circadian Rhythm Model)[J].应用数学与计算数学学报,2022(03):1131-1157
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AB值：
0.613494
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