The modular structure of Kauffman networks

DOI10.1016/S0167-2789(97)00242-XzbMath0938.82044arXivcond-mat/9708214WikidataQ58042944 ScholiaQ58042944MaRDI QIDQ1963760

U. Bastolla, Giorgio Parisi

Publication date: 7 February 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9708214

zbMATH Keywords

cellular automataphase transitionrandom Boolean networksgenetic regulatory networksdiscordered systems

Mathematics Subject Classification ID

Neural nets applied to problems in time-dependent statistical mechanics (82C32) Symbolic dynamics (37B10)

Related Items (17)

Percolation in bipartite Boolean networks and its role in sustaining life ⋮ A NUMERICAL INVESTIGATION OF THE CRITICAL PHASE OF RANDOM BOOLEAN NETWORKS ⋮ Genetic network models and statistical properties of gene expression data in knock-out experiments ⋮ Why a simple model of genetic regulatory networks describes the distribution of avalanches in gene expression data ⋮ Relevant elements, magnetization and dynamical properties in Kauffman networks: A numerical study ⋮ Boolean dynamics of Kauffman models with a scale-free network ⋮ The formation of the frozen core in critical Boolean networks ⋮ The Diffusion of Perturbations in a Model of Coupled Random Boolean Networks ⋮ Stochastic coupling of two random Boolean networks ⋮ SYNCHRONIZATION OF COUPLED EXTENDED DYNAMICAL SYSTEMS: A SHORT REVIEW ⋮ Analysis of discrete bioregulatory networks using symbolic steady states ⋮ Introduction to Focus Issue: Quantitative Approaches to Genetic Networks ⋮ SIMPLIFYING BOOLEAN NETWORKS ⋮ Closing probabilities in the Kauffman model: An annealed computation ⋮ Neural Nets ⋮ Dynamical regimes in non-ergodic random Boolean networks ⋮ Superpolynomial Growth in the Number of Attractors in Kauffman Networks

Cites Work

• Closing probabilities in the Kauffman model: An annealed computation
• Relevant elements, magnetization and dynamical properties in Kauffman networks: A numerical study
• Exact solution of Kauffman's model with connectivity one
• An order parameter for networks of automata
• Attractors in fully asymmetric neural networks

This page was built for publication: The modular structure of Kauffman networks