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Transcriptional pulsing has been observed in both prokaryotes and eukaryotes and plays a crucial role in cell to cell variability of protein and mRNA numbers. The issue is how the time constants associated with episodes of transcriptional…

Quantitative Methods · Quantitative Biology 2009-09-29 Srividya Iyer-Biswas , F. Hayot , C. Jayaprakash

Genes are connected in complex networks of interactions where often the product of one gene is a transcription factor that alters the expression of another. Many of these networks are based on a few fundamental motifs leading to switches…

Molecular Networks · Quantitative Biology 2026-03-05 Zitao Yang , Rebecca J. Rousseau , Sara D. Mahdavi , Hernan G. Garcia , Rob Phillips

Gene transcription is a critical step in gene expression. The currently accepted physical model of transcription predicts the existence of a physical limit on the maximal rate of transcription, which does not depend on the transcribed gene.…

Biological Physics · Physics 2017-01-24 Alexander S. Serov , Alexander J. Levine , Madhav Mani

We consider a model of mRNA production governed by the dynamics of a gene that exists in three possible states -- inactive, poised and active. The transitions between the adjacent states are controlled by stochastic processes characterized…

Dynamical Systems · Mathematics 2022-05-20 Boris Rubinstein , Jay Unruh , Julia Zeitlinger

Transcription is regulated through interplay between transcription factors, an RNA polymerase(RNAP), and a promoter. Even for a simple repressive transcription factor that disturbs promoter activity at the initial binding of RNAP, its…

Molecular Networks · Quantitative Biology 2009-11-13 Hiizu Nakanishi , Namiko Mitarai , Kim Sneppen

Gene regulation involves a hierarchy of events that extend from specific protein-DNA interactions to the combinatorial assembly of nucleoprotein complexes. The effects of DNA sequence on these processes have typically been studied based…

Molecular Networks · Quantitative Biology 2015-05-20 Jose M. G. Vilar

Due to the stochastic nature of biochemical processes, the copy number of any given type of molecule inside a living cell often exhibits large temporal fluctuations. Here, we develop analytic methods to investigate how the noise arising…

Subcellular Processes · Quantitative Biology 2015-05-13 Li-ping Xiong , Yu-qiang Ma , Lei-Han Tang

This paper considers the behavior of discrete and continuous mathematical models for gene expression in the presence of transcriptional/translational bursting. We treat this problem in generality with respect to the distribution of the…

Probability · Mathematics 2015-10-15 M. C. Mackey , M. Tyran-Kamińska , R. Yvinec

Gene expression is inherently a noisy process which manifests as cell-to-cell variability in time evolution of proteins. Consequently, events that trigger at critical threshold levels of regulatory proteins exhibit stochasticity in their…

Subcellular Processes · Quantitative Biology 2016-09-26 Khem Raj Ghusinga , Abhyudai Singh

Despite the greater functional importance of protein levels, our knowledge of gene expression evolution is based almost entirely on studies of mRNA levels. In contrast, our understanding of how translational regulation evolves has lagged…

Genomics · Quantitative Biology 2013-12-02 Carlo G. Artieri , Hunter B. Fraser

Timing is essential for many cellular processes, from cellular responses to external stimuli to the cell cycle and circadian clocks. Many of these processes are based on gene expression. For example, an activated gene may be required to…

Molecular Networks · Quantitative Biology 2017-02-24 Alma Dal Co , Marco Cosentino Lagomarsino , Michele Caselle , Matteo Osella

Inside individual cells, expression of genes is stochastic across organisms ranging from bacterial to human cells. A ubiquitous feature of stochastic expression is burst-like synthesis of gene products, which drives considerable…

Molecular Networks · Quantitative Biology 2016-09-13 Pavol Bokes , Abhyudai Singh

Response time and transcription level are vital parameters of gene regulation. They depend on how fast transcription factors (TFs) find and how efficient they occupy their specific target sites. It is well known that target site search is…

Biological Physics · Physics 2018-06-18 Johannes Hettich , J. Christof M. Gebhardt

Evolution of gene regulation is crucial for our understanding of the phenotypic differences between species, populations and individuals. Sequence-specific binding of transcription factors to the regulatory regions on the DNA is a key…

Populations and Evolution · Quantitative Biology 2015-11-09 Murat Tuğrul , Tiago Paixão , Nicholas H. Barton , Gašper Tkačik

MicroRNA-mediated regulation of gene expression is characterised by some distinctive features that set it apart from unregulated and transcription factor-regulated gene expression. Recently, a mathematical model has been proposed to…

Quantitative Methods · Quantitative Biology 2012-10-19 Indrani Bose , Sayantari Ghosh

Gene expression is a random or noisy process. The process consists of several random events among which the reinitiation of transcription by RNAP is an important one. The RNAP molecules can bind the gene only after the promoter gets…

Molecular Networks · Quantitative Biology 2020-08-26 Rajesh Karmakar

Eukaryotic gene regulation is based on stochastic yet controlled promoter switching, during which genes transition between transcriptionally active and inactive states. Despite the molecular complexity of this process, recent studies reveal…

Molecular Networks · Quantitative Biology 2025-07-17 Benjamin Zoller , Alexis Bénichou , Thomas Gregor , Gašper Tkačik

The telegraph model is the standard model of stochastic gene expression, which can be solved exactly to obtain the distribution of mature RNA numbers per cell. A modification of this model also leads to an analytical distribution of the…

Subcellular Processes · Quantitative Biology 2023-08-17 Juraj Szavits-Nossan , Ramon Grima

It is tempting to believe that we now own the genome. The ability to read and re-write it at will has ushered in a stunning period in the history of science. Nonetheless, there is an Achilles heel exposed by all of the genomic data that has…

To survive environmental conditions, cells transcribe their response activities into encoded mRNA sequences in order to produce certain amounts of protein concentrations. The external conditions are mapped into the cell through the…

Biological Physics · Physics 2017-10-26 Andrés F. López-Lopera , Mauricio A. Álvarez