Boolean versus continuous dynamics in modules with two feedback loops

Boolean versus continuous dynamics in modules with two feedback loops
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具有两个反馈回路的模块中的布尔动态与连续动态

DOI:
10.1140/epje/i2012-12107-9
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发表时间:
2012
期刊:
The European Physical Journal E
影响因子:
--
通讯作者:
Barbara
Barbara
中科院分区:
--
文献类型:
--
作者:
Ackermann;Eva Marie ;Torsten ;Drossel;Barbara

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We investigate the dynamical behavior of simple networks, namely loops with an additional internal regulating connection. Continuous dynamics for mRNA and protein concentrations is compared to a Boolean model for gene activity. Using a generalized method and within a single framework, we study different continuous models and different types of regulatory functions, and establish conditions under which the system can display stable oscillations or stable fixed points. These conditions depend only on general features such as the degree of cooperativity of the regulating interactions and the logical structure of the interactions. There are no simple rules for deciding when Boolean and continuous dynamics agree with each other, but we identify several relevant criteria.
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