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Gene regulatory networks (GRNs) play a central role in cellular decision-making. Understanding their structure and how it impacts their dynamics constitutes thus a fundamental biological question. GRNs are frequently modeled as Boolean…

Molecular Networks · Quantitative Biology 2024-01-19 Claus Kadelka , Taras-Michael Butrie , Evan Hilton , Jack Kinseth , Addison Schmidt , Haris Serdarevic

The concept of control is crucial for effectively understanding and applying biological network models. Key structural features relate to control functions through gene regulation, signaling, or metabolic mechanisms, and computational…

Molecular Networks · Quantitative Biology 2024-11-05 David Murrugarra , Alan Veliz-Cuba , Elena Dimitrova , Claus Kadelka , Matthew Wheeler , Reinhard Laubenbacher

Gene regulatory networks exhibit remarkable stability, maintaining functional phenotypes despite genetic and environmental perturbations. Discrete dynamical models, such as Boolean networks, provide systems biologists with a tractable…

Molecular Networks · Quantitative Biology 2025-11-25 Claus Kadelka

Understanding design principles of molecular interaction networks is an important goal of molecular systems biology. Some insights have been gained into features of their network topology through the discovery of graph theoretic patterns…

Molecular Networks · Quantitative Biology 2013-01-18 David Murrugarra , Reinhard Laubenbacher

Boolean networks are discrete dynamical systems for modeling regulation and signaling in living cells. We investigate a particular class of Boolean functions with inhibiting inputs exerting a veto (forced zero) on the output. We give…

Molecular Networks · Quantitative Biology 2014-09-05 Haleh Ebadi , Konstantin Klemm

The ability of responding to environmental stimuli with appropriate actions is a property shared by all living organisms, and it is also sought in the design of robotic systems. Phenotypic plasticity provides a way for achieving this…

Robotics · Computer Science 2020-06-04 Michele Braccini , Andrea Roli , Stuart A. Kauffman

Biological processes, including cell differentiation, organism development, and disease progression, can be interpreted as attractors (fixed points or limit cycles) of an underlying networked dynamical system. In this paper, we study the…

Systems and Control · Computer Science 2017-01-20 Andrew Clark , Phillip Lee , Basel Alomair , Linda Bushnell , Radha Poovendran

Boolean networks are an important class of computational models for molecular interaction networks. Boolean canalization, a type of hierarchical clustering of the inputs of a Boolean function, has been extensively studied in the context of…

Molecular Networks · Quantitative Biology 2024-07-09 David Murrugarra , Elena S. Dimitrova

This paper studies the mathematical properties of collectively canalizing Boolean functions, a class of functions that has arisen from applications in systems biology. Boolean networks are an increasingly popular modeling framework for…

Discrete Mathematics · Computer Science 2023-06-07 Claus Kadelka , Benjamin Keilty , Reinhard Laubenbacher

In this study, we investigate how a robot can generate novel and creative actions from its own experience of learning basic actions. Inspired by a machine learning approach to computational creativity, we propose a dynamic neural network…

Robotics · Computer Science 2018-05-16 Jungsik Hwang , Jun Tani

A properly designed controller can help improve the quality of experimental measurements or force a dynamical system to follow a completely new time-evolution path. Recent developments in deep reinforcement learning have made steep advances…

Statistical Mechanics · Physics 2025-02-26 Ruslan Mukhamadiarov

Methods of modeling cellular regulatory networks as diverse as differential equations and Boolean networks co-exist, however, without any closer correspondence to each other. With the example system of the fission yeast cell cycle control…

Molecular Networks · Quantitative Biology 2015-03-13 Maria Davidich , Stefan Bornholdt

The goal of this tutorial is to promote interest in the study of random Boolean networks (RBNs). These can be very interesting models, since one does not have to assume any functionality or particular connectivity of the networks to study…

Adaptation and Self-Organizing Systems · Physics 2009-09-29 Carlos Gershenson

This paper presents an algorithm for approximating certain types of dynamical systems given by a system of ordinary delay differential equations by a Boolean network model. Often Boolean models are much simpler to understand than complex…

Molecular Networks · Quantitative Biology 2011-05-10 Franziska Hinkelmann , Reinhard Laubenbacher

Boolean functions and networks are commonly used in the modeling and analysis of complex biological systems, and this paradigm is highly relevant in other important areas in data science and decision making, such as in the medical field and…

Artificial Intelligence · Computer Science 2020-06-02 Jie Sun , Abd AlRahman AlMomani , Erik Bollt

Chaos control in Random Boolean networks is implemented by freezing part of the network to drive it from chaotic to ordered phase. However, controlled nodes are only viewed as passive blocks to prevent perturbation spread. This paper…

Cellular Automata and Lattice Gases · Physics 2015-05-20 Nan Jiang , Shijian Chen

The regulation of the cell state is a complex process involving several components. These complex dynamics can be modeled using Boolean networks, allowing us to explain the existence of different cell states and the transition between them.…

Molecular Networks · Quantitative Biology 2010-01-28 Elke K. Markert , Nils Baas , Arnold J. Levine , Alexei Vazquez

Our ability to manipulate the behavior of complex networks depends on the design of efficient control algorithms and, critically, on the availability of an accurate and tractable model of the network dynamics. While the design of control…

Systems and Control · Electrical Eng. & Systems 2021-04-28 Giacomo Baggio , Danielle S. Bassett , Fabio Pasqualetti

The recently measured yeast transcriptional network is analyzed in terms of simplified Boolean network models, with the aim of determining feasible rule structures, given the requirement of stable solutions of the generated Boolean…

Molecular Networks · Quantitative Biology 2009-11-10 Stuart Kauffman , Carsten Peterson , Björn Samuelsson , Carl Troein

We study classes of dynamical systems that can be obtained by constructing recursive networks with monotone Boolean functions. Stack filters in nonlinear signal processing are special cases of such systems. We show an analytical connection…

Disordered Systems and Neural Networks · Physics 2009-07-28 Matti Nykter , Juha Kesseli , Ilya Shmulevich