English

Positive and negative cycles in Boolean networks

Combinatorics 2022-01-24 v1 Discrete Mathematics

Abstract

We review and discuss some results about the influence of positive and negative feedback cycles in asynchronous Boolean networks. These results merge several ideas of Thomas: positive and negative feedback cycles have been largely emphasized by Thomas, through the so called Thomas' rules, and asynchronous Boolean networks have been introduced by Thomas as a model for the dynamics of gene networks, which is nowadays very popular.

Cite

@article{arxiv.2201.08600,
  title  = {Positive and negative cycles in Boolean networks},
  author = {Adrien Richard},
  journal= {arXiv preprint arXiv:2201.08600},
  year   = {2022}
}

Comments

19 pages

R2 v1 2026-06-24T08:57:32.762Z