The ability to map causal interactions underlying genetic control and cellular signaling has
led to increasingly accurate models of the complex biochemical networks that regulate …

Gene regulatory networks (GRNs) play a central role in cellular decision-making.
Understanding their structure and how it impacts their dynamics constitutes thus a …

Biomolecular network dynamics are thought to operate near the critical boundary between
ordered and disordered regimes, where large perturbations to a small set of elements …

Biological networks, such as gene regulatory networks, possess desirable properties. They
are more robust and controllable than random networks. This motivates the search for …

The properties of random Boolean networks have been investigated extensively as models
of regulation in biological systems. However, the Boolean functions (BFs) specifying the …

Living systems comprise interacting biochemical components in very large networks. Given
their high connectivity, biochemical dynamics are surprisingly not chaotic but quite robust to …

Boolean functions can be represented in many ways including logical forms, truth tables,
and polynomials. Additionally, Boolean functions have different canonical representations …

Interaction relationships are fundamental to the behavior of complex systems. This study,
grounded in Boolean discrete systems, conducts a comprehensive investigation of ordered …

Stability is an important characteristic of network models that has implications for other
desirable aspects such as controllability. The stability of a Boolean network (BN) depends …

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 sciences …