OSCILLATIONS AND MULTIPLE STEADY-STATES IN A CYCLIC GENE MODEL WITH REPRESSION
OSCILLATIONS AND MULTIPLE STEADY-STATES IN A CYCLIC GENE MODEL WITH REPRESSION
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DOI：
10.1007/bf00276388
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发表时间：
1987-01-01
影响因子：
1.9
通讯作者：
SMITH, H
中科院分区：
文献类型：
--
作者：
SMITH, H
在本文中，我们研究了 H. T. Banks 和 J. M. Mahaffy 考虑的具有抑制作用的循环基因模型。粗略地说，该模型描述了一个由整数G个串联的单基因反应序列组成的生化反馈回路。该模型产生了一个函数微分方程组。我们表明，如果反馈抑制足够大，则 Even 和 oddG 之间的动态存在质的差异。对于偶G，多个稳定稳态可以共存，而对于奇G，存在周期性轨道。
In this paper we study the cyclic gene model with repression considered by H. T. Banks and J. M. Mahaffy. Roughly, the model describes a biochemical feedback loop consisting of an integer numberGof single gene reaction sequences in series. The model leads to a system of functional differential equations. We show that there is a qualitative difference in the dynamics between even and oddGif the feedback repression is sufficiently large. For evenG, multiple stable steady states can coexist while for oddG, periodic orbits exist.