Self-sustaining positive feedback loops in discrete and continuous systems

Journal of Theoretical Biology
Jordan C Rozum, Réka Albert

Abstract

We consider a dynamic framework frequently used to model gene regulatory and signal transduction networks: 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.

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Dec 8, 2017·BMC Systems Biology·Parul Maheshwari, Réka Albert

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Citations

Jan 18, 2019·Physical Biology·Jorge Gómez Tejeda ZañudoRéka Albert
Apr 1, 2020·Frontiers in Genetics·Nathan WeinsteinElena R Álvarez-Buylla
Sep 10, 2020·Frontiers in Physiology·Parul MaheshwariReka Albert

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