7 papers
Permutation theory governs long-term dynamics of critical Boolean networks
Venkata Sai Narayana Bavisetty, Matthew Wheeler, Julian Vignes +4
Boolean networks are widely used to model gene regulatory dynamics, where long-term behavior is organized by attractors - by both their number and their lengths. The number of attr…
Dynamics Decomposition of Boolean Networks: An algebraic foundation
Alan Veliz-Cuba, Claus Kadelka, David Murrugarra +4
Understanding the dynamics of Boolean networks is central to problems such as network reduction, design, control, and reverse engineering. As Boolean network models continue to gro…
BoolForge: Controlled Generation and Analysis of Boolean Functions and Networks
Claus Kadelka, Benjamin Coberly
Boolean networks are a widely used modeling framework in systems biology for studying gene regulation, signal transduction, and cellular decision-making. Empirical studies indicate…
On the number of non-degenerate canalizing Boolean functions
Claus Kadelka
Canalization is a key organizing principle in complex systems, particularly in gene regulatory networks. It describes how certain input variables exert dominant control over a func…
Invasive species control via a discrete model for the Trojan Y-chromosome strategy
Don K. Mallawa Arachchi, Rana D. Parshad, Claus Kadelka
Invasive species are a growing threat to ecosystems, particularly in aquatic environments. The Trojan Y Chromosome (TYC) strategy is a promising biological method for reducing inva…
Upper bound for the stability of Boolean networks
Venkata Sai Narayana Bavisetty, Matthew Wheeler, Reinhard Laubenbacher +1
Boolean networks, inspired by gene regulatory networks, were developed to understand the complex behaviors observed in biological systems, with network attractors corresponding to…