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The phenomena of stochasticity in biochemical processes have been intriguing life scientists for the past few decades. We now know that living cells take advantage of stochasticity in some cases and counteract stochastic effects in others.…

Quantitative Methods · Quantitative Biology 2011-06-09 Michal Komorowski , Jacek Miekisz , Michael P. H. Stumpf

Chemical reactions in cell are subject to intense stochastic fluctuations. An important question is how the fundamental physiological behavior of cell is kept stable against those noisy perturbations. In this paper a stochastic model of…

Molecular Networks · Quantitative Biology 2009-11-13 Yurie Okabe , Masaki Sasai

Genetic oscillators are present in the cells of many organisms and control several biological processes. The common feature of such oscillators is the presence of a protein which represses the transcription of its own gene. Recently, it has…

Molecular Networks · Quantitative Biology 2017-06-07 Nahuel Almeira , Sebastian Risau Gusman

In biochemical signaling, information is often encoded in oscillatory signals. However, the advantages of such a coding strategy over an amplitude encoding scheme of constant signals remain unclear. Here we study the dynamics of a simple…

Subcellular Processes · Quantitative Biology 2012-03-09 Filipe Tostevin , Wiet de Ronde , Pieter Rein ten Wolde

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 regulatory circuits must contend with intrinsic noise that arises due to finite numbers of proteins. While some circuits act to reduce this noise, others appear to exploit it. A striking example is the competence circuit in Bacillus…

Molecular Networks · Quantitative Biology 2016-04-27 Andrew Mugler , Mark Kittisopikul , Luke Hayden , Jintao Liu , Chris H. Wiggins , Gurol M. Suel , Aleksandra M. Walczak

In this paper, we study through mathematical modelling the combined effect of transcriptional and translational regulation by proteins and small noncoding RNAs (sRNA) in a genetic feedback motif that has an important role in the survival of…

Molecular Networks · Quantitative Biology 2018-02-16 Sutapa Mukherji

Single-cell studies often show significant phenotypic variability due to the stochastic nature of intra-cellular biochemical reactions. When the numbers of molecules, e.g., transcription factors and regulatory enzymes, are in low abundance,…

Quantitative Methods · Quantitative Biology 2015-06-17 Kyung Hyuk Kim , Hong Qian , Herbert M. Sauro

We present a theoretical framework to analyze the dynamics of gene expression with stochastic bursts. Beginning with an individual-based model which fully accounts for the messenger RNA (mRNA) and protein populations, we propose a novel…

Molecular Networks · Quantitative Biology 2016-03-23 Yen Ting Lin , Charles R. Doering

The burst approximation is a widely used technique to simplify stochastic gene expression models. However, the dynamics and analytical properties of the protein number distribution in gene expression models under the burst approximation are…

Biological Physics · Physics 2026-05-06 Yuntao Lu , Yunxin Zhang

Feedback in cellular processes is typically inferred through cellular responses to experimental perturbations. Modular response analysis provides a theoretical framework for translating specific perturbations into feedback sensitivities…

Molecular Networks · Quantitative Biology 2025-05-09 Seshu Iyengar , Andreas Hilfinger

Regulatory networks describe the interactions between molecular or cellular regulators, like transcription factors and genes in gene regulatory networks, kinases and their receptors in signalling networks, or neurons in neural networks. A…

Molecular Networks · Quantitative Biology 2022-12-29 Niklas Bonacker , Johannes Berg

Based on the measurements of noise in gene expression performed during the last decade, it has become customary to think of gene regulation in terms of a two-state model, where the promoter of a gene can stochastically switch between an ON…

Molecular Networks · Quantitative Biology 2015-06-16 Georg Rieckh , Gašper Tkačik

In the simplest view of transcriptional regulation, the expression of a gene is turned on or off by changes in the concentration of a transcription factor (TF). We use recent data on noise levels in gene expression to show that it should be…

Molecular Networks · Quantitative Biology 2013-08-01 Gasper Tkacik , Curtis G Callan , William Bialek

Cell growth and gene expression, essential elements of all living systems, have long been the focus of biophysical interrogation. Advances in single-cell methods have invigorated theoretical studies into these processes. However, until…

Subcellular Processes · Quantitative Biology 2023-11-22 Ido Golding , Ariel Amir

The precision of biochemical signaling is limited by randomness in the diffusive arrival of molecules at their targets. For proteins binding to the specific sites on the DNA and regulating transcription, the ability of the proteins to…

Molecular Networks · Quantitative Biology 2013-08-01 Gasper Tkacik , William Bialek

The global dynamics of gene regulatory networks are known to show robustness to perturbations in the form of intrinsic and extrinsic noise, as well as mutations of individual genes. One molecular mechanism underlying this robustness has…

Molecular Networks · Quantitative Biology 2015-06-15 Claus Kadelka , David Murrugarra , Reinhard Laubenbacher

Homeostasis of protein concentrations in cells is crucial for their proper functioning, and this requires concentrations (at their steady-state levels) to be stable to fluctuations. Since gene expression is regulated by proteins such as…

Biological Physics · Physics 2020-11-10 Yipei Guo , Ariel Amir

In recent times whole-genome gene expression analysis has turned out to be a highly important tool to study the coordinated function of a very large number of genes within their corresponding cellular environment, especially in relation to…

Genomics · Quantitative Biology 2009-09-21 Enrique Hernandez-Lemus

We train a neural network to predict distributional responses in gene expression following genetic perturbations. This is an essential task in early-stage drug discovery, where such responses can offer insights into gene function and inform…