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The dynamics of Boolean networks (BN) with quenched disorder and thermal noise is studied via the generating functional method. A general formulation, suitable for BN with any distribution of Boolean functions, is developed. It provides…

Disordered Systems and Neural Networks · Physics 2015-05-27 Alexander Mozeika , David Saad

Finding the dominant direction of flow of information in densely interconnected regulatory or signaling networks is required in many applications in computational biology and neuroscience. This is achieved by first identifying and removing…

Molecular Networks · Quantitative Biology 2008-10-15 I. Ispolatov , Sergei Maslov

Graphical models are widely used to study biological networks. Interventions on network nodes are an important feature of many experimental designs for the study of biological networks. In this paper we put forward a causal variant of…

Methodology · Statistics 2015-06-17 Simon E. F. Spencer , Steven M. Hill , Sach Mukherjee

Modeling the nonlinear dynamics of neuronal populations represents a key pursuit in computational neuroscience. Recent research has increasingly focused on jointly modeling neural activity and behavior to unravel their interconnections.…

Neural and Evolutionary Computing · Computer Science 2025-02-07 Zhengrui Guo , Fangxu Zhou , Wei Wu , Qichen Sun , Lishuang Feng , Jinzhuo Wang , Hao Chen

The mutations of a complex systemic disease like cancer can be modeled as stuck-at faults in the Boolean system paradigm. For a class of multiple faults, the fault identification is exceptionally significant under the incomplete access of…

Systems and Control · Computer Science 2018-09-11 Anuj Deshpande , Ritwik Kumar Layek

Background: Deep neural networks have proven to be powerful computational tools for modeling, prediction, and generation. However, the workings of these models have generally been opaque. Recent work has shown that the performance of some…

Artificial Intelligence · Computer Science 2023-11-21 Andrew S. Nencka , L. Tugan Muftuler , Peter LaViolette , Kevin M. Koch

This paper addresses the decomposition of biochemical networks into functional modules that preserve their dynamic properties upon interconnection with other modules, which permits the inference of network behavior from the properties of…

Molecular Networks · Quantitative Biology 2014-12-03 Hari Sivakumar , Stephen R. Proulx , João P. Hespanha

Models of transcriptional regulation that assume equilibrium binding of transcription factors have been very successful at predicting gene expression from sequence in bacteria. However, analogous equilibrium models do not perform as well in…

Molecular Networks · Quantitative Biology 2021-10-14 Benjamin Zoller , Thomas Gregor , Gašper Tkačik

We introduce a model for describing the dynamics of large numbers of interacting cells. The fundamental dynamical variables in the model are sub-cellular elements, which interact with each other through phenomenological intra- and…

Quantitative Methods · Quantitative Biology 2007-05-23 T. J. Newman

Mathematical modelling allows us to concisely describe fundamental principles in biology. Analysis of models can help to both explain known phenomena, and predict the existence of new, unseen behaviours. Model analysis is often a complex…

Quantitative Methods · Quantitative Biology 2020-08-13 Mark Blyth , Ludovic Renson , Lucia Marucci

Stochastic models of biochemical reaction networks are widely used to capture intrinsic noise in cellular systems. The typical formulation of these models are based on Markov processes for which there is extensive research on efficient…

Molecular Networks · Quantitative Biology 2025-12-03 Thomas P. Steele , David J. Warne

High-throughput experiments are shedding light on the topology of large regulatory networks and at the same time their functional states, namely the states of activation of the nodes (for example transcript or protein levels) in different…

Molecular Networks · Quantitative Biology 2009-02-13 M. Cosentino Lagomarsino , B. Bassetti , G. Castellani , D. Remondini

Cellular differentiation is governed by gene regulatory networks, the high-dimensional stochastic biochemical systems that determine the transcriptional landscape and mediate cellular responses to signals and perturbations. Although…

Molecular Networks · Quantitative Biology 2026-04-29 Suryanarayana Maddu , Victor Chardès , Michael J. Shelley

One of the characteristic features of genetic networks is their inherent robustness, that is, their ability to retain functionality in spite of the introduction of random errors. In this paper, we seek to better understand how robustness is…

Molecular Networks · Quantitative Biology 2009-04-29 Arnab Bhattacharyya , Bernhard Haeupler

Complex dynamical systems are often modeled as networks, with nodes representing dynamical units which interact through the network's links. Gene regulatory networks, responsible for the production of proteins inside a cell, are an example…

Statistical Mechanics · Physics 2009-09-30 Zoran Levnajić

Complex dynamic systems can be investigated by fitting mechanistic stochastic dynamic models to time series data. In this context, commonly used Monte Carlo inference procedures for model selection and parameter estimation quickly become…

Methodology · Statistics 2025-11-24 Jesse Wheeler , Aaron J. Abkemeier , Edward L. Ionides

Complex network dynamics have been analyzed with models of systems of coupled switches or systems of coupled oscillators. However, many complex systems are composed of components with diverse dynamics whose interactions drive the system's…

Quantitative Methods · Quantitative Biology 2012-01-09 Matthew R. Francis , Elana J. Fertig

The study of control mechanisms of biological systems allows for interesting applications in bioengineering and medicine, for instance in cell reprogramming or drug target identification. A control strategy often consists of a set of…

Molecular Networks · Quantitative Biology 2022-03-28 Laura Cifuentes-Fontanals , Elisa Tonello , Heike Siebert

Boolean networks have been successfully used in modelling gene regulatory networks. In this paper we propose a reduction method that reduces the complexity of a Boolean network but keeps dynamical properties and topological features and…

Quantitative Methods · Quantitative Biology 2009-07-06 Alan Veliz-Cuba

Gene regulatory networks (GRNs) are increasingly used for explaining biological processes with complex transcriptional regulation. A GRN links the expression levels of a set of genes via regulatory controls that gene products exert on one…

Molecular Networks · Quantitative Biology 2016-06-21 Guy Karlebach
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