ArticleThe Journal of chemical physics2019
Discrete and continuous models of probability flux of switching dynamics: Uncovering stochastic oscillations in a toggle-switch system.
Article in The Journal of chemical physics, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Progenitor neighborhoods function as transient niches to sustain olfactory neurogenesis.Stem cell reports · 2025Article
- Distilling dynamical knowledge from stochastic reaction networks.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Network design principle for robust oscillatory behaviors with respect to biological noise.eLife · 2022Article
- Unifying deterministic and stochastic ecological dynamics via a landscape-flux approach.Proceedings of the National Academy of Sciences of the United States of America · 2021Article
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Authors and funding
3 authors.
Funding
Abstract
The probability flux and velocity in stochastic reaction networks can help in characterizing dynamic changes in probability landscapes of these networks. Here, we study the behavior of three different models of probability flux, namely, the discrete flux model, the Fokker-Planck model, and a new continuum model of the Liouville flux. We compare these fluxes that are formulated based on, respectively, the chemical master equation, the stochastic differential equation, and the ordinary differential equation. We examine similarities and differences among these models at the nonequilibrium steady state for the toggle switch network under different binding and unbinding conditions. Our results show that at a strong stochastic condition of weak promoter binding, continuum models of Fokker-Planck and Liouville fluxes deviate significantly from the discrete flux model. Furthermore, we report the discovery of stochastic oscillation in the toggle-switch system occurring at weak binding conditions, a phenomenon captured only by the discrete flux model.
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Registered trials
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