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We study the long-term behavior of two piecewise-deterministic Markov processes used to model stochastic gene regulatory networks with bursting dynamics. Under regularity assumptions on the jump rate, we prove the existence and uniqueness…

Probability · Mathematics 2026-05-12 Mathilde Gaillard , Ulysse Herbach

Numerous transcription factors self-assemble into different order oligomeric species in a way that is actively regulated by the cell. Until now, no general functional role has been identified for this widespread process. Here we capture the…

Molecular Networks · Quantitative Biology 2011-05-26 Jose M. G. Vilar , Leonor Saiz

A recurring motif in gene regulatory networks is transcription factors (TFs) that regulate each other, and then bind to overlapping sites on DNA, where they interact and synergistically control transcription of a target gene. Here, we…

Molecular Networks · Quantitative Biology 2013-03-07 Sahand Hormoz

The dynamics of short-lived mRNA results in bursts of protein production in gene regulatory networks. We investigate the propagation of bursting noise between different levels of mathematical modelling, and demonstrate that conventional…

Molecular Networks · Quantitative Biology 2016-01-14 Yen Ting Lin , Tobias Galla

Recently, several studies have investigated the transcription process associated to specific genetic regulatory networks. In this work, we present a stochastic approach for analyzing the dynamics and effect of negative feedback loops (FBL)…

Molecular Networks · Quantitative Biology 2007-08-20 J. C. Nacher , T. Ochiai

The coding properties of cells with different types of receptive fields have been studied for decades. ON-type neurons fire in response to positive fluctuations of the time-dependent stimulus, whereas OFF cells are driven by negative…

Neurons and Cognition · Quantitative Biology 2009-09-10 Eugenio Urdapilleta , Ines Samengo

In this paper we study an important global regulation mechanism of transcription of biological cells using specific macro-molecules, 6S RNAs. The functional property of 6S RNAs is of blocking the transcription of RNAs when the environment…

Probability · Mathematics 2022-08-22 Vincent Fromion , Philippe Robert , Jana Zaherddine

Allosteric regulation is found across all domains of life, yet we still lack simple, predictive theories that directly link the experimentally tunable parameters of a system to its input-output response. To that end, we present a general…

Subcellular Processes · Quantitative Biology 2017-06-23 Manuel Razo-Mejia , Stephanie L. Barnes , Nathan M. Belliveau , Griffin Chure , Tal Einav , Mitchell Lewis , Rob Phillips

Inferring protein production kinetics for dividing cells is complicated due to protein inheritance from the mother cell. For instance, fluorescence measurements -- commonly used to assess gene activation -- may reflect not only newly…

Quantitative Methods · Quantitative Biology 2026-04-10 Pedro Pessoa , Juan Andres Martinez , Vincent Vandenbroucke , Frank Delvigne , Steve Pressé

Inferring functional relationships within complex networks from static snapshots of a subset of variables is a ubiquitous problem in science. For example, a key challenge of systems biology is to translate cellular heterogeneity data…

Molecular Networks · Quantitative Biology 2024-08-09 Euan Joly-Smith , Zitong Jerry Wang , Andreas Hilfinger

Gene regulatory networks (GRNs) define the regulatory relationships among molecules such as transcription factors, chromatin remodelers, and target genes. GRNs play a critical role in diverse biological processes, including development,…

Molecular Networks · Quantitative Biology 2026-02-24 Junha Shin , Spencer Halberg-Spencer , Yuda Liu , Suvojit Hazra , Erika Da-Inn Lee , Sushmita Roy

There is increasing evidence that protein binding to specific sites along DNA can activate the reading out of genetic information without coming into direct physical contact with the gene. There also is evidence that these distant but…

Subcellular Processes · Quantitative Biology 2019-12-19 William Bialek , Thomas Gregor , Gašper Tkačik

The intrinsic stochasticity of gene expression can lead to large variability of protein levels across a population of cells. Variability (or noise) in protein distributions can be modulated by cellular mechanisms of gene regulation; in…

Molecular Networks · Quantitative Biology 2011-03-02 Tao Jia , Rahul V. Kulkarni

Post-transductional modifications tune the functions of proteins and regulate the collective dynamics of biochemical networks that determine how cells respond to environmental signals. For example, protein phosphorylation and nitrosylation…

Cell Behavior · Quantitative Biology 2009-11-13 Roberto Chignola , Chiara Dalla Pellegrina , Alessio Del Fabbro , Edoardo Milotti

Genomic DNA is constantly subjected to various mechanical stresses arising from its biological functions and cell packaging. If the local mechanical properties of DNA change under torsional and tensional stress, the activity of…

Biomolecules · Quantitative Biology 2015-05-28 Alexey K. Mazur

Bursty dynamics characterizes systems that evolve through short active periods of several events, which are separated by long periods of inactivity. Systems with such temporal heterogeneities are not only found in nature but also include…

Physics and Society · Physics 2024-12-19 Márton Karsai , Hang-Hyun Jo

We examine quantitatively the transition process from emitting to not-emitting states of fluorescent molecules with a machine learning technique. In a fluorescently labeled DNA, the fluorescence occurs continuously under irradiation, but it…

In human cells, estrogenic signals induce cyclical association and dissociation of specific proteins with the DNA in order to activate transcription of estrogen-responsive genes. These oscillations can be modeled by assuming a large number…

Cell Behavior · Quantitative Biology 2007-05-23 Vincent Lemaire , Chiu Fan Lee , Jinzhi Lei , Raphael Metivier , Leon Glass

It often is emphasized that gene expression is noisy. A seemingly contradictory view is that control mechanisms have been optimized to squeeze as much information as possible out of a limited number of molecules. Here we revisit these…

Biological Physics · Physics 2025-12-17 Nicholas Lawson , William Bialek

Living cells provide a fluctuating, out-of-equilibrium environment in which genes must coordinate cellular function. DNA looping, which is a common means of regulating transcription, is very much a stochastic process; the loops arise from…

Biomolecules · Quantitative Biology 2015-05-18 Yih-Fan Chen , J. N. Milstein , Jens-Christian Meiners