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Biological networks are pivotal in deciphering the complexity and functionality of biological systems. Causal inference, which focuses on determining the directionality and strength of interactions between variables rather than merely…

Molecular Networks · Quantitative Biology 2025-11-05 Hongyang Jiang , Yuezhu Wang , Ke Feng , Chaoyi Yin , Yi Chang , Huiyan Sun

Recent years have witnessed an increasing interest in neuron-glia communication. This interest stems from the realization that glia participates in cognitive functions and information processing and is involved in many brain disorders and…

Neurons and Cognition · Quantitative Biology 2009-12-17 Maurizio De Pitta` , Mati Goldberg , Vladislav Volman , Hugues Berry , Eshel Ben-Jacob

Cancer forms a robust system and progresses as stages over time typically with increasing aggressiveness and worsening prognosis. Characterizing these stages and identifying the genes driving transitions between them is critical to…

Molecular Networks · Quantitative Biology 2014-02-04 Sriganesh Srihari , Venkatesh Raman , Hon Wai Leong , Mark A. Ragan

Boolean networks serve as discrete models of regulation and signaling in biological cells. Identifying the key controllers of such processes is important for understanding the dynamical systems and planning further analysis. Here we…

Molecular Networks · Quantitative Biology 2012-09-14 Fakhteh Ghanbarnejad , Konstantin Klemm

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, engineering, and computer science. Traditionally, their properties as…

Dynamical Systems · Mathematics 2024-02-02 Matthew Wheeler , Claus Kadelka , Alan Veliz-Cuba , David Murrugarra , Reinhard Laubenbacher

Control of the cytoskeleton and mechanical contacts with the extracellular environment are essential component of motility in eukaryotic cells. In the absence of signals, cells continuously rebuild the cytoskeleton and periodically extend…

Cell Behavior · Quantitative Biology 2013-09-27 Varunyu Khamviwath , Hans G. Othmer

The calcium transport in biological systems is modelled as a reaction-diffusion process. Nonlinear calcium waves are then simulated using a stochastic cellular automaton whose rules are derived from the corresponding coupled partial…

Pattern Formation and Solitons · Physics 2010-03-30 Xin-She Yang

Gene regulatory networks can be successfully modeled as Boolean networks. A much discussed hypothesis says that such model networks reproduce empirical findings the best if they are tuned to operate at criticality, i.e. at the borderline…

Molecular Networks · Quantitative Biology 2016-10-12 Pablo Villegas , José Ruiz-Franco , Jorge Hidalgo , Miguel A. Muñoz

Glycans are structurally diverse and flexible biomolecules that play key roles in many biological processes. Their conformational variability makes the modeling of their interactions with proteins particularly challenging. This chapter…

Biomolecules · Quantitative Biology 2026-03-19 Victor Reys , Marco Giulini , Alexandre M. J. J. Bonvin

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

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 gene networks that comprise the circadian clock modulate biological function across a range of scales, from gene expression to performance and adaptive behaviour. The clock functions by generating endogenous rhythms that can be…

Molecular Networks · Quantitative Biology 2012-10-25 Ozgur Akman , Steven Watterson , Andrew Parton , Nigel Binns , Andrew Millar , Peter Ghazal

Biological signaling pathways based upon proteins binding to one another to relay a signal for genetic expression, such as the Bone Morphogenetic Protein (BMP) signaling pathway, can be modeled by mass action kinetics and conservation laws…

Quantitative Methods · Quantitative Biology 2021-11-29 Vincent Zaballa , Elliot Hui

Boolean networks model finite discrete dynamical systems with complex behaviours. The state of each component is determined by a Boolean function of the state of (a subset of) the components of the network. This paper addresses the…

Artificial Intelligence · Computer Science 2020-02-28 Stéphanie Chevalier , Christine Froidevaux , Loïc Paulevé , Andrei Zinovyev

Cells regulate themselves via dizzyingly complex biochemical processes called signaling pathways. These are usually depicted as a network, where nodes represent proteins and edges indicate their influence on each other. In order to…

Molecular Networks · Quantitative Biology 2021-01-13 David Merrell , Anthony Gitter

We introduce Boolformer, a Transformer-based model trained to perform end-to-end symbolic regression of Boolean functions. First, we show that it can predict compact formulas for complex functions not seen during training, given their full…

Machine Learning · Computer Science 2025-07-18 Stéphane d'Ascoli , Arthur Renard , Vassilis Papadopoulos , Samy Bengio , Josh Susskind , Emmanuel Abbé

A great part of the effort in the study of coarse grained models of transcription networks is directed to the analysis of their dynamical features. In this letter, we consider the \emph{equilibrium} properties of such systems, showing that…

Molecular Networks · Quantitative Biology 2007-05-23 M. Cosentino Lagomarsino , P. Jona , B. Bassetti

The propagation of signalling molecules within cellular networks is affected by network topology, but also by the spatial arrangement of cells in the networks. Understanding the collective reaction--diffusion behaviour in space of signals…

Disordered Systems and Neural Networks · Physics 2025-01-09 Adel Mehrpooya , Vivien J. Challis , Pascal R. Buenzli

Recent advances in high-resolution experimental methods have highlighted the significance of cell signal pathway crosstalk and localised signalling activity in the development and disease of numerous biological systems. The investigation of…

Dynamical Systems · Mathematics 2022-09-19 Joshua W. Moore , Trevor C. Dale , Thomas E. Woolley

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