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We investigate the performance of sparsely-connected networks of integrate-and-fire neurons for ultra-short term information processing. We exploit the fact that the population activity of networks with balanced excitation and inhibition…

Neurons and Cognition · Quantitative Biology 2007-05-23 Julien Mayor , Wulfram Gerstner

A general class of stochastic gene expression models with self regulation is considered. One or more genes randomly switch between regulatory states, each having a different mRNA transcription rate. The gene or genes are self regulating…

Molecular Networks · Quantitative Biology 2014-12-30 Jay Newby

We describe how noise propagates through a network by calculating the variance of the outputs. Using stochastic calculus and dynamical systems theory, we study the network topologies that accentuate or alleviate the effect of random…

Molecular Networks · Quantitative Biology 2011-08-15 Dionysios Barmpoutis , Richard M. Murray

Canalization is a key organizing principle in complex systems, particularly in gene regulatory networks. It describes how certain input variables exert dominant control over a function's output, thereby imposing hierarchical structure and…

Discrete Mathematics · Computer Science 2025-10-31 Claus Kadelka

We present an approach for constructing dynamic models for the simulation of gene regulatory networks from simple computational elements. Each element is called a ``gene gate'' and defines an input/output-relationship corresponding to the…

Molecular Networks · Quantitative Biology 2007-10-09 R. Blossey , L. Cardelli , A. Phillips

Living cells are continually exposed to environmental signals that vary in time. These signals are detected and processed by biochemical networks, which are often highly stochastic. To understand how cells cope with a fluctuating…

Molecular Networks · Quantitative Biology 2012-06-01 Wiet de Ronde , Filipe Tostevin , Pieter Rein ten Wolde

Stochastic resonance is a phenomenon in which noise enhances the response of a system to an input signal. The brain is an example of a system that has to detect and transmit signals in a noisy environment, suggesting that it is a good…

Neurons and Cognition · Quantitative Biology 2017-10-16 Bertha Vázquez-Rodríguez , Andrea Avena-Koenigsberger , Olaf Sporns , Alessandra Griffa , Patric Hagmann , Hernán Larralde

The problem of reliability of the dynamics in biological regulatory networks is studied in the framework of a generalized Boolean network model with continuous timing and noise. Using well-known artificial genetic networks such as the…

Molecular Networks · Quantitative Biology 2008-05-28 Stefan Braunewell , Stefan Bornholdt

Single-cell data provide high-dimensional measurements of the transcriptional states of cells, but extracting insights into the regulatory functions of genes, particularly identifying transcriptional mechanisms affected by biological…

Molecular Networks · Quantitative Biology 2025-03-27 Paul Bertin , Joseph D. Viviano , Alejandro Tejada-Lapuerta , Weixu Wang , Stefan Bauer , Fabian J. Theis , Yoshua Bengio

Cellular behaviors such as migration, division, and differentiation rely on precise timing, and yet the molecular events that govern these behaviors are highly stochastic. We investigate regulatory strategies that decrease the timing noise…

Biological Physics · Physics 2020-07-01 Shivam Gupta , Sean Fancher , Hendrik C. Korswagen , Andrew Mugler

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

Gene expression is inherently noisy as many steps in the read-out of the genetic information are stochastic. To disentangle the effect of different sources of stochasticity in such systems, we consider various models that describe some…

Molecular Networks · Quantitative Biology 2015-06-05 Rahul Marathe , David Gomez , Stefan Klumpp

Biochemical reaction networks are subjected to large fluctuations attributable to small molecule numbers, yet underlie reliable biological functions. Most theoretical approaches describe them as purely deterministic or stochastic dynamical…

Molecular Networks · Quantitative Biology 2013-06-11 Jingkui Wang , Marc Lefranc , Quentin Thommen

Structural changes in a network representation of a system (e.g.,different experimental conditions, time evolution), can provide insight on its organization, function and on how it responds to external perturbations. The deeper…

Data Analysis, Statistics and Probability · Physics 2021-01-04 Leonardo L. Portes , Michael Small

Living organisms must respond to environmental changes. Generally, accurate and rapid responses are provided by simple, unidirectional networks that connect inputs with outputs. Besides accuracy and speed, biological responses should also…

Molecular Networks · Quantitative Biology 2021-09-01 Masayo Inoue , Kunihiko Kaneko

Cell fate decisions emerge as a consequence of a complex set of gene regulatory networks. Models of these networks are known to have more parameters than data can determine. Recent work, inspired by Waddington's metaphor of a landscape, has…

Quantitative Methods · Quantitative Biology 2023-05-08 Archishman Raju , Eric D. Siggia

The molecular evolution in a gene regulatory network is classically modeled by Markov jump processes. However, the direct simulation of such models is extremely time consuming. Indeed, even the simplest Markovian model, such as the…

Probability · Mathematics 2012-11-30 Aurélie Muller-Gueudin

Gene expression in a cell entails random reaction events occurring over disparate time scales. Thus, molecular noise that often results in phenotypic and population-dynamic consequences sets a fundamental limit to biochemical signaling.…

Molecular Networks · Quantitative Biology 2009-02-19 C. -M. Ghim , E. Almaas

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

Constructing gene regulatory networks is a fundamental task in systems biology. We introduce a Gaussian reciprocal graphical model for inference about gene regulatory relationships by integrating mRNA gene expression and DNA level…

Methodology · Statistics 2016-07-26 Yang Ni , Yuan Ji , Peter Mueller