Self-sustaining positive feedback loops in discrete and continuous systems

JOURNAL OF THEORETICAL BIOLOGY

卷:459

Article

Rozum, Jordan C.¹  Albert, Reka^1,2 

[1] Penn State Univ, Dept Phys, University Pk, PA 16802 USA

[2] Penn State Univ, Dept Biol, University Pk, PA 16802 USA

关键词: Biomolecular networks;    Network control;    Feedback;    Boolean models;    ODEs;   

DOI  :  10.1016/j.jtbi.2018.09.017

来源: Elsevier

【 摘 要 】

We consider a dynamic framework frequently used to model gene regulatory and signal transduction net- works: monotonic ODEs that are composed of Hill functions. We derive conditions under which activity or inactivity in one system variable induces and sustains activity or inactivity in another. Cycles of such influences correspond to positive feedback loops that are self-sustaining and control-robust, in the sense that these feedback loops trap the system in a region of state space from which it cannot exit, even if the other system variables are externally controlled. To demonstrate the utility of this result, we consider prototypical examples of bistability and hysteresis in gene regulatory networks, and analyze a T-cell signal transduction ODE model from the literature. (C) 2018 Elsevier Ltd. All rights reserved.

【 授权许可】

Free