Upper bound for the stability of Boolean networks
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908669219700736 |
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| author | Bavisetty, Venkata Sai Narayana Wheeler, Matthew Laubenbacher, Reinhard Kadelka, Claus |
| author_facet | Bavisetty, Venkata Sai Narayana Wheeler, Matthew Laubenbacher, Reinhard Kadelka, Claus |
| contents | Boolean networks, inspired by gene regulatory networks, were developed to understand the complex behaviors observed in biological systems, with network attractors corresponding to biological phenotypes or cell types. In this article, we present a proof for a conjecture by Williadsen, Triesch and Wiles about upper bounds for the stability of basins of attraction in Boolean networks. We further extend this result from a single basin of attraction to the entire network. Specifically, we demonstrate that the asymptotic upper bound for the robustness and the basin entropy of a Boolean network are negatively linearly related. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12310 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Upper bound for the stability of Boolean networks Bavisetty, Venkata Sai Narayana Wheeler, Matthew Laubenbacher, Reinhard Kadelka, Claus Molecular Networks Cellular Automata and Lattice Gases Biological Physics Boolean networks, inspired by gene regulatory networks, were developed to understand the complex behaviors observed in biological systems, with network attractors corresponding to biological phenotypes or cell types. In this article, we present a proof for a conjecture by Williadsen, Triesch and Wiles about upper bounds for the stability of basins of attraction in Boolean networks. We further extend this result from a single basin of attraction to the entire network. Specifically, we demonstrate that the asymptotic upper bound for the robustness and the basin entropy of a Boolean network are negatively linearly related. |
| title | Upper bound for the stability of Boolean networks |
| topic | Molecular Networks Cellular Automata and Lattice Gases Biological Physics |
| url | https://arxiv.org/abs/2506.12310 |