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May 9, 2026PLOS complex systems.Open Access

Characterization of monotone Boolean models supporting fixed points and multistability in balanced networks

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Authors

SASarah AdigweHBHarshavardhan BVMJMohit Kumar Jolly

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Overview

Randomized trial reveals steady states in gene regulatory networks, suggesting multistability in cancer processes.

Key Points

  • This research aims to describe the steady states supported by monotone Boolean models in gene regulatory networks.
  • Analysis of monotone Boolean function models compatible with gene regulatory networks.
  • Investigation of steady states, bistability, and multistability in balanced networks.
  • Application of prime ideals and prime filters in lattice theory to understand equilibria.
  • Balanced networks exhibit a hierarchy in the prevalence of individual steady states.
  • Bistability between epithelial and mesenchymal states is most common among monotone Boolean models.
  • Multistability is prevalent, showcasing the complexity of gene regulatory network dynamics.

Cite This Study

Adigwe et al. (2026) studied this question.

synapsesocial.com/papers/69fed153b9154b0b828789eehttps://doi.org/10.1371/journal.pcsy.0000103
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