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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

Modeling stochasticity in gene regulatory networks is an important and complex problem in molecular systems biology. To elucidate intrinsic noise, several modeling strategies such as the Gillespie algorithm have been used successfully. This…

Molecular Networks · Quantitative Biology 2013-01-18 David Murrugarra , Alan Veliz-Cuba , Boris Aguilar , Seda Arat , Reinhard Laubenbacher

Precise temporal coordination of gene expression is crucial for many developmental processes. One central question in developmental biology is how such coordinated expression patterns are robustly controlled. During embryonic development of…

Molecular Networks · Quantitative Biology 2015-05-14 Akihiko Nakajima , Takako Isshiki , Kunihiko Kaneko , Shuji Ishihara

The two most fundamental processes describing change in biology, development and evolu-tion, occur over drastically different timescales, difficult to reconcile within a unified framework. Development involves temporal sequences of cell…

Biological Physics · Physics 2020-09-08 Enrico Borriello , Sara I. Walker , Manfred D. Laubichler

This report proposes a novel framework for a rigorous robustness analysis of stochastic biochemical systems. The technique is based on probabilistic model checking. We adapt the general definition of robustness introduced by Kitano to the…

Numerical Analysis · Computer Science 2013-10-18 Lubos Brim , Milan Ceska , Sven Drazan , David Safranek

Cellular response to environmental and internal signals can be modeled by dynamical gene regulatory networks (GRN). In the literature, three main classes of gene network models can be distinguished: (i) non-quantitative (or data-based)…

Molecular Networks · Quantitative Biology 2025-05-08 Nicolas Champagnat , Rodolphe Loubaton , Laurent Vallat , Pierre Vallois

Complex systems are often modeled as Boolean networks in attempts to capture their logical structure and reveal its dynamical consequences. Approximating the dynamics of continuous variables by discrete values and Boolean logic gates may,…

Molecular Networks · Quantitative Biology 2013-05-29 Johannes Norrell , Joshua E. S. Socolar

Genetic interaction can be defined as a deviation of the phenotypic quantitative effect of a double gene mutation from the effect predicted from single mutations using a simple (e.g., multiplicative or linear additive) statistical model.…

Molecular Networks · Quantitative Biology 2015-04-24 Laurence Calzone , Emmanuel Barillot , Andrei Zinovyev

The study of network structure has uncovered signatures of the organization of complex systems. However, there is also a need to understand how to control them; for example, identifying strategies to revert a diseased cell to a healthy…

Molecular Networks · Quantitative Biology 2016-04-19 Alexander J. Gates , Luis M. Rocha

Dynamical systems theory and complexity science provide powerful tools for analysing artificial agents and robots. Furthermore, they have been recently proposed also as a source of design principles and guidelines. Boolean networks are a…

Artificial Intelligence · Computer Science 2015-03-18 Andrea Roli , Mattia Manfroni , Carlo Pinciroli , Mauro Birattari

This short paper presents an abstract, tunable model of genomic structural change within the cell lifecycle and explores its use with simulated evolution. A well-known Boolean model of genetic regulatory networks is extended to include…

Computational Engineering, Finance, and Science · Computer Science 2012-01-18 Larry Bull

Regulatory networks (RNs) are a well-accepted modelling formalism in computational systems biology. The control of RNs is currently receiving a lot of attention because it provides a computational basis for cell reprogramming -- an…

Systems and Control · Electrical Eng. & Systems 2022-03-01 Luboš Brim , Samuel Pastva , David Šafránek , Eva Šmijáková

A widely used approach to describe the dynamics of gene regulatory networks is based on the chemical master equation, which considers probability distributions over all possible combinations of molecular counts. The analysis of such models…

Molecular Networks · Quantitative Biology 2019-06-04 Pavel Kurasov , Alexander Lück , Delio Mugnolo , Verena Wolf

The dynamics of gene regulatory networks is governed by the interaction between deterministic biochemical reactions and molecular noise. To understand how gene regulatory networks process information during cell state transitions, we study…

Molecular Networks · Quantitative Biology 2025-09-11 Miguel Ángel García-Ariza , Alessandro Bravetti , Pablo Padilla , J Roberto Romero-Arias

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 significant role of epigenetic mechanisms within natural systems has become increasingly clear. This paper uses a recently presented abstract, tunable Boolean genetic regulatory network model to explore aspects of epigenetics. It is…

Neural and Evolutionary Computing · Computer Science 2013-06-21 Larry Bull

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. One molecular mechanism underlying this robustness has…

Molecular Networks · Quantitative Biology 2015-06-15 Claus Kadelka , David Murrugarra , Reinhard Laubenbacher

Diverse biological networks exhibit universal features distinguished from those of random networks, calling much attention to their origins and implications. Here we propose a minimal evolution model of Boolean regulatory networks, which…

Molecular Networks · Quantitative Biology 2014-11-26 Deok-Sun Lee

Interacting biological systems at all organizational levels display emergent behavior. Modeling these systems is made challenging by the number and variety of biological components and interactions (from molecules in gene regulatory…

Molecular Networks · Quantitative Biology 2023-10-20 Jordan C. Rozum , Colin Campbell , Eli Newby , Fatemeh Sadat Fatemi Nasrollahi , Reka Albert

We determine stability and attractor properties of random Boolean genetic network models with canalyzing rules for a variety of architectures. For all power law, exponential, and flat in-degree distributions, we find that the networks are…

Molecular Networks · Quantitative Biology 2007-05-23 Stuart Kauffman , Carsten Peterson , Björn Samuelsson , Carl Troein