Stochasticity is necessary for multiple attractors in a class of differentiation networks
Author(s)
Kumar, Nithin Senthur
Al-Radhawi, Muhammad Ali
Sontag, Eduardo D.
Del Vecchio, Domitilla
Date Issued
June 2018
Journal
Proceeding 2018 IEEE Conference Decision and Control
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Kumar, Nithin S., M. Ali Al-Radhawi, Eduardo D. Sontag and Domitilla Del Vecchio. "Stochasticity is necessary for multiple attractors in a class of differentiation networks." In Proceeding 2018 IEEE Conference Decision and Control, pages 1886-1892.
Version
Author's final manuscript
Abstract
Deterministic models remain the most common option for modeling gene regulatory networks even when
the underlying assumptions of high copy numbers and fast promoter kinetics are unsatisfied. Here, we analyze a widely studied differentiation network motif known as the PU.1-GATA-1 circuit and we show that an ODE model of the biomolecular reactions consistent with known biology is incapable of exhibiting multistability, a defining behaviour for such a network. Thus, we consider the chemical master equation model of the same biomolecular reactions and using results recently developed by the authors, we analytically construct the stationary distribution. We show that this distribution is indeed capable of admitting a multitude of modes. We illustrate the results with a numerical example.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=8410068
