Modeling Biological Regulatory Networks with Singular States
نویسندگان
چکیده
In the field of biological regulation, models extracted from experimental works are usually complex networks comprising intertwined feedback circuits. R. Thomas and coworkers introduced a qualitative description of such regulatory networks, then they used the concept of circuit-characteristic states to identify all steady states and functional circuits. These characteristic states play an essential role for the dynamics of the system, but they are not represented in the state graph. In this paper we present an extension of this formalization in which all singular states including characteristic ones are represented. Consequently, the state graph contains all steady states. We easily demonstrate in our qualitative modeling the previously demonstrated theorems giving the conditions for steadiness of characteristic states. We also prove that this new modeling is coherent with all the dynamics of the Thomas modeling since all paths of the Thomas dynamics are represented in the new state graph, which in addition shows the influence of singular states in the dynamics.
منابع مشابه
R. Thomas' Modeling of Biological Regulatory Networks: Introduction of Singular States in the Qualitative Dynamics
In the field of biological regulation, models extracted from experimental works are usually complex networks comprising intertwined feedback circuits. The overall behavior is difficult to grasp and the development of formal methods is needed in order to model and simulate biological regulatory networks. To model the behavior of such systems, R. Thomas and coworkers developed a qualitative appro...
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