Self-sustaining positive feedback loops in discrete and continuous systems

Jordan C. Rozum, Reka Z. Albert

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)36-44
Number of pages9
JournalJournal of Theoretical Biology
Volume459
DOIs
StatePublished - Dec 14 2018

Fingerprint

continuous systems
Signal transduction
Positive Feedback
Continuous System
Feedback Loop
Discrete Systems
signal transduction
Signal Transduction
Genes
Feedback
T-cells
Gene Regulatory Networks
hysteresis
Regulator Genes
Robust control
regulator genes
Hysteresis
T-lymphocytes
traps
Bistability

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

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Self-sustaining positive feedback loops in discrete and continuous systems. / Rozum, Jordan C.; Albert, Reka Z.

In: Journal of Theoretical Biology, Vol. 459, 14.12.2018, p. 36-44.

Research output: Contribution to journalArticle

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