ArticleScience advances2021
Parity and time reversal elucidate both decision-making in empirical models and attractor scaling in critical Boolean networks.
Article in Science advances, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 24 papers.
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Who cites it
24 citing papers in PubMed.
- AstroLogics: a simulation-based framework for the analysis of boolean model ensembles.Bioinformatics (Oxford, England) · 2026Article
- Succession-diagram-based Markov chains reveal the attractor landscape of asynchronous Boolean networks.NPJ systems biology and applications · 2026Article
- BioLogical: a universal analysis framework for biosystem logical dynamics.Computational and structural biotechnology journal · 2026Article
- Reverse control of biological networks to restore phenotype landscapes.Science advances · 2025Article
- Generative prediction of causal gene sets responsible for complex traits.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- An open problem: Why are motif-avoidant attractors so rare in asynchronous Boolean networks?Journal of mathematical biology · 2025Article
- Mapping the attractor landscape of Boolean networks with biobalm.Bioinformatics (Oxford, England) · 2025Article
- Network community detection via neural embeddings.Nature communications · 2024Article
- Irreversibility in bacterial regulatory networks.Science advances · 2024Article
- A network-based modeling framework reveals the core signal transduction network underlying high carbon dioxide-induced stomatal closure in guard cells.PLoS biology · 2024Article
- Discrete-state models identify pathway specific B cell states across diseases and infections at single-cell resolution.Journal of theoretical biology · 2024Article
- Models of Cell Processes are Far from the Edge of Chaos.PRX life · 2023Article
- Trap spaces of multi-valued networks: definition, computation, and applications.Bioinformatics (Oxford, England) · 2023Article
- Article
- Leveraging quantum computing for dynamic analyses of logical networks in systems biology.Patterns (New York, N.Y.) · 2023Article
- Effective Connectivity and Bias Entropy Improve Prediction of Dynamical Regime in Automata Networks.Entropy (Basel, Switzerland) · 2023Article
- Dauer fate in aPeerJ · 2023Article
- Network analysis reveals that the tumor suppressor lncRNA GAS5 acts as a double-edged sword in response to DNA damage in gastric cancer.Scientific reports · 2022Article
- Leveraging network structure in nonlinear control.NPJ systems biology and applications · 2022Review
- Probabilistic edge weights fine-tune Boolean network dynamics.PLoS computational biology · 2022Article
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Authors and funding
5 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We present new applications of parity inversion and time reversal to the emergence of complex behavior from simple dynamical rules in stochastic discrete models. Our parity-based encoding of causal relationships and time-reversal construction efficiently reveal discrete analogs of stable and unstable manifolds. We demonstrate their predictive power by studying decision-making in systems biology and statistical physics models. These applications underpin a novel attractor identification algorithm implemented for Boolean networks under stochastic dynamics. Its speed enables resolving a long-standing open question of how attractor count in critical random Boolean networks scales with network size and whether the scaling matches biological observations. Via 80-fold improvement in probed network size (
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