Small-Number Effects: A Third Stable State in a Genetic Bistable Toggle Switch

Rui Ma, Jichao Wang, Zhonghuai Hou, and Haiyan Liu
Phys. Rev. Lett. 109, 248107 – Published 13 December 2012
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Abstract

A genetic toggle switch was studied experimentally and theoretically. We have found an additional kinetic stable state where all the genes express very lowly, which is predicted to be unstable by dynamical systems theory. It can also stably coexist with the other two known stable states, although this coexistence is forbidden in a deterministic dynamical system. We analyze that this nontrivial phenomenon results from the discrete and fluctuate nature in such a small system, by comparing experimental results with modeling results of exact stochastic simulations and differential equations.

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  • Received 18 July 2012

DOI:https://doi.org/10.1103/PhysRevLett.109.248107

© 2012 American Physical Society

Authors & Affiliations

Rui Ma1, Jichao Wang2, Zhonghuai Hou1,*, and Haiyan Liu2,†

  • 1School of Chemistry and Materials Science, University of Science and Technology of China, Hefei 230026, Anhui, China
  • 2School of Life Sciences, University of Science and Technology of China, Hefei 230027, Anhui, China

  • *hzhlj@ustc.edu.cn
  • hyliu@ustc.edu.cn

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Issue

Vol. 109, Iss. 24 — 14 December 2012

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