33 citations · 76 across the 14 of their papers we have counts for
16 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 Attractors of Boolean networks model stable gene-expression patterns, yet deriving their properties from network structure…
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…
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…
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…
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…
Modular Construction of Boolean Networks
Matthew Wheeler, Claus Kadelka, Alan Veliz-Cuba +2
Boolean networks have been used in a variety of settings, as models for general complex systems as well as models of specific systems in diverse fields, such as biology, engineerin…
Modular control of Boolean network models
David Murrugarra, Alan Veliz-Cuba, Elena Dimitrova +3
The concept of control is crucial for effectively understanding and applying biological network models. Key structural features relate to control functions through gene regulation,…
Stability of Linear Boolean Networks
Karthik Chandrasekhar, Claus Kadelka, Reinhard Laubenbacher +1
Stability is an important characteristic of network models that has implications for other desirable aspects such as controllability. The stability of a Boolean network depends on…
Decomposition of Boolean networks: An approach to modularity of biological systems
Claus Kadelka, Reinhard Laubenbacher, David Murrugarra +2
This paper presents the foundation for a decomposition theory for Boolean networks, a type of discrete dynamical system that has found a wide range of applications in the life scie…
Revealing the canalizing structure of Boolean functions: Algorithms and applications
Elena Dimitrova, Brandilyn Stigler, Claus Kadelka +1
Boolean functions can be represented in many ways including logical forms, truth tables, and polynomials. Additionally, Boolean functions have different canonical representations s…
Collectively canalizing Boolean functions
Claus Kadelka, Benjamin Keilty, Reinhard Laubenbacher
This paper studies the mathematical properties of collectively canalizing Boolean functions, a class of functions that has arisen from applications in systems biology. Boolean netw…
The Influence of Canalization on the Robustness of Boolean Networks
Claus Kadelka, Jack Kuipers, Reinhard Laubenbacher
Time- and state-discrete dynamical systems are frequently used to model molecular networks. This paper provides a collection of mathematical and computational tools for the study o…
Multistate Nested Canalizing Functions and Their Networks
Claus Kadelka, Yuan Li, Jack Kuipers +2
This paper provides a collection of mathematical and computational tools for the study of robustness in nonlinear gene regulatory networks, represented by time- and state-discrete…
Stabilizing Gene Regulatory Networks Through Feedforward Loops
Claus Kadelka, David Murrugarra, Reinhard Laubenbacher
The global dynamics of gene regulatory networks are known to show robustness to perturbations in the form of intrinsic and extrinsic noise, as well as mutations of individual genes…
Multistate nested canalizing functions
J. O. Adeyeye, C. Kadelka, R. Laubenbacher +1
The concept of a nested canalizing Boolean function has been studied over the course of the last decade in the context of understanding the regulatory logic of molecular interactio…