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Changes in a cell's external or internal conditions are usually reflected in the concentrations of the relevant transcription factors. These proteins in turn modulate the expression levels of the genes under their control and sometimes need…

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

In order to express specific genes at the right time, the transcription of genes is regulated by the presence and absence of transcription factor molecules. With transcription factor concentrations undergoing constant changes, gene…

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

Eukaryotic cells are often exposed to fluctuations in growth conditions as well as endogenous and exogenous stress-related agents. In addition, during development global patterns of gene transcription change dramatically, and these changes…

Genomics · Quantitative Biology 2008-12-23 John Herrick

Understanding the mechanisms of interactions within cells, tissues, and organisms is crucial to driving developments across biology and medicine. Mathematical modeling is an essential tool for simulating biological systems and revealing…

Molecular Networks · Quantitative Biology 2024-08-13 Lingxia Qiao , Ali Khalilimeybodi , Nathaniel J Linden-Santangeli , Padmini Rangamani

Much of the genome is expressed in the vertebrate brain, with individual genes exhibiting different spatially-varying patterns of expression. These variations are not independent, with pairs of genes exhibiting complex patterns of…

Quantitative Methods · Quantitative Biology 2012-01-06 Pascal Grange , Jason Bohland , Hemant Bokil , Sacha Nelson , Benjamin Okaty , Ken Sugino , Lydia Ng , Michael Hawrylycz , Partha P. Mitra

Evolution has fascinated quantitative and physical scientists for decades: how can the random process of mutation, recombination, and duplication of genetic information generate the diversity of life? What determines the rate of evolution?…

Populations and Evolution · Quantitative Biology 2018-04-23 Richard A. Neher , Aleksandra M. Walczak

Understanding cell fate selection remains a central challenge in developmental biology. We present a class of simple yet biologically-motivated mathematical models for cell differentiation that generically generate oscillations and hence…

Dynamical Systems · Mathematics 2021-10-08 Saeed Farjami , Karen Camargo Sosa , Jonathan H. P. Dawes , Robert N. Kelsh , Andrea Rocco

Engineering genetic networks to be both predictable and robust is a key challenge in synthetic biology. Synthetic circuits must reliably function in dynamic, stochastic and heterogeneous environments, and simple circuits can be studied to…

Quantitative Methods · Quantitative Biology 2015-06-30 Zach Hensel , Tatiana T. Marquez-Lago

Dynamics maintaining diversity of cell types in a multi-cellular system are studied in relationship with the plasticity of cellular states. First, we introduce a new theoretical framework, reaction-diffusion system on `chemical species…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Hiroaki Takagi , Kunihiko Kaneko

Recently, microRNAs (miRNAs) have emerged as central posttranscriptional regulators of gene expression. miRNAs regulate many key biological processes, including cell growth, death, development and differentiation. This discovery is…

Molecular Networks · Quantitative Biology 2007-12-24 Edwin Wang

Transcription factors (TFs) are key regulators of gene expression. Based on the classical scenario in which the TF search process switches between one-dimensional motion along the DNA molecule and free Brownian motion in the nucleus, we…

Genomics · Quantitative Biology 2010-10-15 Godefroy Malherbe , David Holcman

We study a simple model of DNA evolution in a growing population of cells. Each cell contains a nucleotide sequence which randomly mutates at cell division. Cells divide according to a branching process. Following typical parameter values…

Probability · Mathematics 2020-06-05 David Cheek , Tibor Antal

Single and collective cell migration are fundamental processes critical for physiological phenomena ranging from embryonic development and immune response to wound healing and cancer metastasis. To understand cell migration from a physical…

Biological Physics · Physics 2023-10-10 David B. Brückner , Chase P. Broedersz

A blood cell lineage consists of several consecutive developmental stages from the pluri- or multipotent stem cell to a state of terminal differentiation. Despite their importance for human biology, the regulatory pathways and gene networks…

Molecular Networks · Quantitative Biology 2020-09-18 Maryam Nazarieh , Volkhard Helms , Marc P. Hoeppner , Andre Franke

A recent burst of dynamic single-cell growth-division data makes it possible to characterize the stochastic dynamics of cell division control in bacteria. Different modeling frameworks were used to infer specific mechanisms from such data,…

Cell Behavior · Quantitative Biology 2017-03-22 Jacopo Grilli , Matteo Osella , Andrew S. Kennard , Marco Cosentino Lagomarsino

We show that noise-induced oscillations in a gene circuit model display stochastic coherence, that is, a maximum in the regularity of the oscillations as a function of noise amplitude. The effect is manifest as a system-size effect in a…

Molecular Networks · Quantitative Biology 2009-08-05 Robert C. Hilborn , Jessie D. Erwin

Cellular heterogeneity is an immanent property of biological systems that covers very different aspects of life ranging from genetic diversity to cell-to-cell variability driven by stochastic molecular interactions, and noise induced cell…

Quantitative Methods · Quantitative Biology 2021-09-15 Niko Komin , Alexander Skupin

Our knowledge of how individual cells self-organize to form complex multicellular systems is being revolutionized by a data outburst, coming from high-throughput experimental breakthroughs such as single-cell RNA sequencing and spatially…

Cell Behavior · Quantitative Biology 2021-04-20 Gabriel Torregrosa , Jordi Garcia-Ojalvo

How cells regulate the number of organelles is a fundamental question in cell biology. While decades of experimental work have uncovered four fundamental processes that regulate organelle biogenesis, namely, de novo synthesis, fission,…

Subcellular Processes · Quantitative Biology 2019-09-04 Sandeep Choubey , Dipjyoti Das , Saptarshi Majumdar

Classic models of cell size control consider cells divide while reaching a threshold, e.g. size, age, or size extension. The molecular basis of the threshold involves multiple layers of regulation as well as gene noises. In this work, we…

Statistical Mechanics · Physics 2022-04-28 Liang Luo , Yang Bai , Xiongfei Fu