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The stochastic mutual repressor model is analysed using perturbation methods. This simple model of a gene circuit consists of two genes and three promotor states. Either of the two protein products can dimerize, forming a repressor molecule…

Biological Physics · Physics 2014-06-12 Jay Newby

Non-coding RNAs are crucial regulators of gene expression in prokaryotes and eukaryotes, but it remains poorly understood how they affect the dynamics of transcriptional networks. We analyzed the temporal characteristics of the…

Molecular Networks · Quantitative Biology 2009-11-13 Stefan Legewie , Dennis Dienst , Annegret Wilde , Hanspeter Herzel , Ilka M. Axmann

mRNA-protein assemblies play a fundamental role in forming membraneless compartments within cells, whose functions may include activating, inhibiting, and localizing reactions. Recruitment of proteins into droplets can diminish cell to cell…

Subcellular Processes · Quantitative Biology 2025-11-14 Xinke Lyu , Alex Mayer , Grace McLaughlin , Amy Gladfelter , Marcus Roper

The effects of intrinsic noise on stochastic delay systems is studied within an expansion in the inverse system size. We show that the stochastic nature of the underlying dynamics may induce oscillatory behaviour in parameter ranges where…

Molecular Networks · Quantitative Biology 2015-05-13 Tobias Galla

A crucial step in the regulation of gene expression is binding of transcription factor (TF) proteins to regulatory sites along the DNA. But transcription factors act at nanomolar concentrations, and noise due to random arrival of these…

Molecular Networks · Quantitative Biology 2016-02-10 Thomas R. Sokolowski , Aleksandra M. Walczak , William Bialek , Gašper Tkačik

Often in bacterial regulatory networks, small noncoding RNAs (sRNA) interact with several mRNA species. The competition among mRNAs for binding to the same pool of sRNA might lead to crosstalk between the mRNAs. This is similar to the…

Molecular Networks · Quantitative Biology 2019-12-17 Swathi Tej , Sutapa Mukherji

It is well known that the kinetics of an intracellular biochemical network is stochastic. This is due to intrinsic noise arising from the random timing of biochemical reactions in the network as well as due to extrinsic noise stemming from…

Subcellular Processes · Quantitative Biology 2019-06-05 Emma M. Keizer , Bjorn Bastian , Robert W. Smith , Ramon Grima , Christian Fleck

Nature presents multiple intriguing examples of processes which proceed at high precision and regularity. This remarkable stability is frequently counter to modelers' experience with the inherent stochasticity of chemical reactions in the…

Molecular Networks · Quantitative Biology 2015-12-31 Andreas Milias-Argeitis , Stefan Engblom , Pavol Bauer , Mustafa Khammash

The propagation of noise through parallel regulatory pathways is a characteristic feature of feed-forward loops in genetic networks. Although the contributions of the direct and indirect regulatory pathways of feed-forward loops to output…

Molecular Networks · Quantitative Biology 2025-07-10 Mintu Nandi , Sudip Chattopadhyay , Suman K Banik

Noise in the expression of a gene produces fluctuations in the concentration of the gene product. These fluctuations can interfere with optimal function or can be exploited to generate beneficial diversity between cells; gene expression…

Molecular Networks · Quantitative Biology 2015-05-13 Namiko Mitarai , Ian B. Dodd , Michael T. Crooks , Kim Sneppen

Regulation of intrinsic noise in gene expression is essential for many cellular functions. Correspondingly, there is considerable interest in understanding how different molecular mechanisms of gene expression impact variations in protein…

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

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

In a stochastic process, noise often modifies the picture offered by the mean field dynamics. In particular, when there is an absorbing state, the noise erases a stable fixed point of the mean field equation from the stationary…

Statistical Mechanics · Physics 2018-12-19 JaeJun Lee , Julian Lee

Over the last several decades it has been increasingly recognized that stochastic processes play a central role in transcription. Though many stochastic effects have been explained, the source of transcriptional bursting (one of the most…

Subcellular Processes · Quantitative Biology 2017-02-10 Stuart A. Sevier , David A. Kessler , Herbert Levine

Motivation: Recent studies of genomic-scale regulatory networks suggested that a feed-forward loop (FFL) circuitry is a key component of many such networks. This led to a study of the functional properties of different FFL types, where the…

Molecular Networks · Quantitative Biology 2008-02-26 Yonatan Bilu

A prominent feature of gene transcription regulatory networks is the presence in large numbers of motifs, i.e, patterns of interconnection, in the networks. One such motif is the feed forward loop (FFL) consisting of three genes X, Y and Z.…

Molecular Networks · Quantitative Biology 2009-11-10 Bhaswar Ghosh , Rajesh Karmakar , Indrani Bose

Cell systems consist of a huge number of various molecules that display specific patterns of interactions, which have a determining influence on the cell's functioning. In general, such complexity is seen to increase with the complexity of…

Biomolecules · Quantitative Biology 2014-03-14 Marianne Rooman , Jaroslav Albert , Mitia Duerinckx

Gene regulatory circuits show significant stochastic fluctuations in their circuit signals due to the low copy number of transcription factors. When a gene circuit component is connected to an existing circuit, the dynamic properties of the…

Quantitative Methods · Quantitative Biology 2009-10-30 Kyung Hyuk Kim , Herbert M. Sauro

The well-known issue of reconstructing regulatory networks from gene expression measurements has been somewhat disrupted by the emergence and rapid development of single-cell data. Indeed, the traditional way of seeing a gene regulatory…

Molecular Networks · Quantitative Biology 2021-10-01 Ulysse Herbach

Gene expression is controlled primarily by interactions between transcription factor proteins (TFs) and the regulatory DNA sequence, a process that can be captured well by thermodynamic models of regulation. These models, however, neglect…

Molecular Networks · Quantitative Biology 2015-12-16 Sarah A Cepeda-Humerez , Georg Rieckh , Gašper Tkačik