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Even under constant external conditions, the expression levels of genes fluctuate. Much emphasis has been placed on the components of this noise that are due to randomness in transcription and translation; here we analyze the role of noise…

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

Simplified stochastic models are widely used in the study of frequency-resolved noise propagation in biochemical reaction networks, a common measure being the coherence between random fluctuations in molecule number trajectories. Such…

Molecular Networks · Quantitative Biology 2025-11-03 Juan David Marmolejo Lozano , Nikola Popovic , Ramon Grima

Cells are known to utilize biochemical noise to probabilistically switch between distinct gene expression states. We demonstrate that such noise-driven switching is dominated by tails of probability distributions and is therefore…

Molecular Networks · Quantitative Biology 2009-11-13 Pankaj Mehta , Ranjan Mukhopadhyay , Ned S. Wingreen

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

Stochastic gene expression has been implicated in a variety of cellular processes, including cell differentiation and disease. In this issue of Cell, Weinberger et al. (2005) take an integrated computational-experimental approach to study…

Molecular Networks · Quantitative Biology 2007-05-23 Leor S. Weinberger , John C. Burnett , Jared E. Toettcher , Adam P. Arkin , David V. Schaffer

Cells sense their surrounding by employing intracellular signaling pathways that transmit hormonal signals from the cell membrane to the nucleus. TGF-$\beta$/SMAD signaling encodes various cell fates, controls tissue homeostasis and is…

Molecular Networks · Quantitative Biology 2022-10-12 Niklas Kolbe , Lorenz Hexemer , Lukas-Malte Bammert , Alexander Loewer , Mária Lukáčová-Medviďová , Stefan Legewie

Studies on the role of fluctuations in signal propagation and on gene regulation in monoclonal bacterial population have been extensively pursued based on the machinery of two-component system. The bacterial two-component system shows noise…

Molecular Networks · Quantitative Biology 2017-01-10 Tarunendu Mapder , Sudip Chattopadhyay , Suman K Banik

Noise in gene expression, either due to inherent stochasticity or to varying inter- and intracellular environment, can generate significant cell-to-cell variability of protein levels in clonal populations. We present a theoretical…

Other Quantitative Biology · Quantitative Biology 2010-04-08 Julia Rausenberger , Christian Fleck , Jens Timmer , Markus Kollmann

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

The characterization of plasticity, robustness, and evolvability, an important issue in biology, is studied in terms of phenotypic fluctuations. By numerically evolving gene regulatory networks, the proportionality between the phenotypic…

Populations and Evolution · Quantitative Biology 2015-06-15 Kunihiko Kaneko

Recent experiments have shown that stochastic effects exerted at the level of translation contribute a substantial portion of the variation in abundance of proteins expressed at moderate to high levels. This study analyzes translational…

Subcellular Processes · Quantitative Biology 2014-09-16 Sandip Datta , Brian Seed

In this paper we develop a model of stochastic gene expression, which is an extension of the model investigated in the paper [T. Lipniacki, P. Paszek, A. Marciniak-Czochra, A.R. Brasier, M. Kimmel, Transcriptional stochasticity in gene…

Probability · Mathematics 2015-10-20 Ryszard Rudnicki , Andrzej Tomski

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…

This paper explores a stochastic Gause predator-prey model with bounded or sub-linear functional response. The model, described by a system of stochastic differential equations, captures the influence of stochastic fluctuations on…

Populations and Evolution · Quantitative Biology 2024-09-10 Leon Alexander Valencia , Ph. D , Jorge Mario Ramirez Osorio , Jorge Andres Sanchez

We analyze a class of chemical reaction networks under mass-action kinetics and involving multiple time-scales, whose deterministic and stochastic models display qualitative differences. The networks are inspired by gene-regulatory…

Molecular Networks · Quantitative Biology 2018-01-30 Tomislav Plesa , Radek Erban , Hans G. Othmer

Stochastic dynamics of chemical reactions in a mutually repressing two-gene circuit is numerically simulated. The circuit has a rich variety of different states when the kinetic change of DNA status is slow. The stochastic switching…

Disordered Systems and Neural Networks · Physics 2009-11-11 Tomohiro Ushikubo , Wataru Inoue , Mitsumasa Yoda , Masaki Sasai

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

Gene expression has a stochastic component owing to the single molecule nature of the gene and the small number of copies of individual DNA binding proteins in the cell. We show how the statistics of such systems can be mapped on to quantum…

Disordered Systems and Neural Networks · Physics 2009-11-10 Masaki Sasai , Peter G. Wolynes

We consider the dynamics of a population of organisms containing two mutually inhibitory gene regulatory networks, that can result in a bistable switch-like behaviour. We completely characterize their local and global dynamics in the…

Molecular Networks · Quantitative Biology 2016-10-07 Michael C. Mackey , Marta Tyran-Kaminska

From the response to external stimuli to cell division and death, the dynamics of living cells is based on the expression of specific genes at specific times. The decision when to express a gene is implemented by the binding and unbinding…

Molecular Networks · Quantitative Biology 2009-11-13 Johannes Berg
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