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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

Growth rate is one of the most important and most complex phenotypic characteristics of unicellular microorganisms, which determines the genetic mutations that dominate at the population level, and ultimately whether the population will…

Cell Behavior · Quantitative Biology 2019-01-23 Thomas P. Wytock , Adilson E. Motter

In this work, the dynamics of fluctuations in gene expression time series is investigated. By using collected data of gene expression from yeast and human organisms, we found that the fluctuations of gene expression level and its average…

Biomolecules · Quantitative Biology 2007-05-23 J. C. Nacher , T. Ochiai , T. Akutsu

A dynamical mean-field theory is developed to analyze stochastic single-cell dynamics of gene expression. By explicitly taking account of nonequilibrium and nonadiabatic features of the DNA state fluctuation, two-time correlation functions…

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

The evolutionary origins of structural features in reconstructed gene-regulatory networks (GRNs) remain poorly understood, especially given the random aspects of gene expression. Here, we extend a classical model of GRN evolution to allow a…

Populations and Evolution · Quantitative Biology 2026-04-30 Leonardo Ivan Estrella Dzib , James Holehouse

Cell fate determination, the process through which cells commit to differentiated states is commonly mediated by gene regulatory motifs with mutually exclusive expression states. The classical deterministic picture for cell fate…

Molecular Networks · Quantitative Biology 2019-10-09 Manuel Pájaro , Irene Otero-Muras , Carlos Vázquez , Antonio A. Alonso

We study the effect of correlations in generation times on the dynamics of population growth of microorganisms. We show that any non-zero correlation that is due to cell-size regulation, no matter how small, induces long-term oscillations…

Populations and Evolution · Quantitative Biology 2019-03-27 Farshid Jafarpour

The advent of new experimental genomic technologies and the massive increase of DNA sequence information is helping researchers better understand how our genes work. Recently, experiments on mRNA abundance (gene expression) have revealed…

Biomolecules · Quantitative Biology 2009-11-10 T. Ochiai , J. C. Nacher , T. Akutsu

Cells of the human body have nearly identical genome but exhibit very different phenotypes that allow them to carry out specific functions and react to changes in their surrounding environment. This division of labour is achieved by…

Cell Behavior · Quantitative Biology 2021-11-24 Hanan Dreiwi , Flavia Feliciangeli , Mario Castro , Grant Lythe , Carmen Molina-París , Martín López-García

A general theory is developed for the evolution of the cell order (CO) distribution in planar granular systems. Dynamic equations are constructed and solved in closed form for several examples: systems under compression; dilation of very…

Soft Condensed Matter · Physics 2019-09-27 Clara C. Wanjura , Paula Gago , Takashi Matsushima , Raphael Blumenfeld

We study a coarsening process of one-dimensional cell complexes. We show that if cell boundaries move with velocities proportional to the difference in size of neighboring cells, then the average cell size grows at a prescribed exponential…

Probability · Mathematics 2015-12-03 Emanuel Lazar , Robin Pemantle

Gene transcription is a highly stochastic and dynamic process. As a result, the mRNA copy number of a given gene is heterogeneous both between cells and across time. We present a framework to model gene transcription in populations of cells…

Quantitative Methods · Quantitative Biology 2017-01-10 Justine Dattani , Mauricio Barahona

We show that the effect of stress on the reproductive fitness of noisy cell populations can be modelled as first-passage time problem, and demonstrate that even relatively short-lived fluctuations in gene expression can ensure long-term…

Biological Physics · Physics 2015-06-03 Daniel A. Charlebois , Nezar Abdennur , Mads Kaern

Two powerful and complementary experimental approaches are commonly used to study the cell cycle and cell biology: One class of experiments characterizes the statistics (or demographics) of an unsynchronized exponentially-growing…

Biological Physics · Physics 2022-02-02 Dean Huang , Teresa Lo , Houra Merrikh , Paul A. Wiggins

Single-cell experiments revealed substantial variability in generation times, growth rates but also in birth and division sizes between genetically identical cells. Understanding how these fluctuations determine the fitness of the…

Populations and Evolution · Quantitative Biology 2025-03-24 Arthur Genthon

Cellular reprogramming, the conversion of one cell type to another, has fundamentally transformed our conception of cell types. Cellular reprogramming induces global changes in gene expression involving hundreds of transcription factors and…

Molecular Networks · Quantitative Biology 2015-05-18 Sai Teja Pusuluri , Alex H. Lang , Pankaj Mehta , Horacio E. Castillo

Growth-fragmentation processes model systems of cells that grow continuously over time and then fragment into smaller pieces. Typically, on average, the number of cells in the system exhibits asynchronous exponential growth and, upon…

Probability · Mathematics 2023-06-08 Emma Horton , Alexander R. Watson

Collective oscillation of cells in a population has been reported under diverse biological contexts and with vastly different molecular constructs. Could there be common principles similar to those that govern spontaneous oscillation in…

Cell Behavior · Quantitative Biology 2019-07-08 Shou-Wen Wang , Lei-Han Tang

Living cells must control the reading out or "expression" of information encoded in their genomes, and this regulation often is mediated by transcription factors--proteins that bind to DNA and either enhance or repress the expression of…

Molecular Networks · Quantitative Biology 2013-08-01 Gašper Tkačik , Aleksandra M Walczak , William Bialek

Cells often exhibit different and stable phenotypes from the same DNA sequence. Robustness and plasticity of such cellular states are controlled by diverse transcriptional and epigenetic mechanisms, among them the modification of…

Molecular Networks · Quantitative Biology 2015-06-18 Daniel Jost